Post on 17-Apr-2018
MATH 1910 Course Syllabus Calculus I
Course instructor: Leonard Ciletti
E-mail: cilettil@rcschools.net or lciletti@mscc.edu
Website:
http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094
Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage
ISBN-13: 978-1285057095
You can rent or purchase on Amazon or Chegg
Description:
This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric
expressions and their application to graphing, maxima and minima, and related rates; integration of
algebraic and trigonometric expressions and area under curves.
Credit Hours: 4 Contact Hours: 4 Lab Hours: 0
Prerequisite(s):
Documented eligibility for collegiate mathematics; high school credits in college preparatory
mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH
1720.
Required Supplies/Material(s):
TI-83, 84(recommended) or 89
Student solution manual
Students will:
1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as
well as to prepare those students who are required to take MATH 1920;
2) Use technology in a manner that will promote better understanding of concepts introduced
throughout the course;
3) Demonstrate the concepts of continuity and limit of a function intuitively;
4) Learn methods of differentiation of algebraic and trigonometric functions;
5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and
relations;
6) Apply the derivative to specific modeling problems involving, for example, motion, maxima
and minima, and related rates;
7) Understand the concept of integration, show its application to area under curves, and practice
integration of algebraic and trigonometric expressions.
MATH 1910 Course Syllabus Calculus I
Course Objectives:
Through the study of Calculus, the student will:
1) understand basic ideas about what calculus is;
2) examine and determine by tables and graphs whether or not the limit of a function exists at a given
value of x and if so, find that limit;
3) discuss the formal ∈, δ definition of a limit;
4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques
and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig
identities for evaluating limits;
5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval
containing x and examine removable and nonremovable discontinuities;
6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;
7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and
continuity; (greatest integer function is optional)
8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical
asymptotes;
9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on
the curve near P;
10) find the derivative of a function by use of the definition and discuss the relationship between
differentiability and continuity;
11) write the equation of the line tangent to a given curve at a given point;
12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and
apply to simple motion problems;
13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power
rules and evaluate at given values of x;
14) find the derivative of a function using implicit differentiation;
15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply
to equations of motion;
16) apply differentiation processes to related rates problems;
17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints
optional)
18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)
19) determine intervals over which a curve is increasing or decreasing and determine relative maximum
and minimum values of given functions by use of the first derivative;
20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of
the second derivative; (maxima and minima test is optional)
21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal
asymptotes;
22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by
use of the first and second derivatives;
23) apply derivatives to solve optimization (maximum/minimum) problems;
24) use Newton's method to find zeros of functions; (optional)
25) understand and find differentials of functions and apply to determining error; (error is optional)
MATH 1910 Course Syllabus Calculus I
26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and
trigonometric functions and apply to initial value problems;
27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle
at a given time; (optional)
28) perform operations with sigma notation and use it to find the area under the graphs of certain
polynomial functions by using the definition of definite integral and rectangular subdivisions;
29) study geometric and analytic properties of the definite and indefinite integral;
30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial
and other algebraic relations and trigonometric functions, and apply to finding the area under curves;
31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general
power rule for integration and by u-substitution procedures;
32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals
and analyze error of results. (optional)
Grading Policy:
Quizzes/Homework: 20% (closed book and closed notes)
Tests: 60% (closed book and closed notes)
Final Exam: 20% (closed book and closed notes)
Letter Grade Distribution:
90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F
Tests
Topics covered
Test 1 Objectives 1-8 Chapter 1
Test 2 Objectives 9-16
Test 3 Objectives 17-22
Test 4 Objectives 23-29
Final Exam Comprehensive 1-32
Course Material and Schedule
Week Topic/Chapter
1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4
2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8
3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11
4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12
5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15
6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16
7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17
8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20
9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22
10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23
11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27
12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28
13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30
14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32
15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32
MATH 1910 Course Syllabus Calculus I
Note: This schedule may change. If changes are made, announcements will be made in advance
regarding those changes. It is your responsibility to conform to all announcements, changes, and
additions made during the classes.
Class and Lab Policies:
• Please conform to all regulations and safety rules.
• Do not touch other lab equipment in the classroom that does not pertain to what you are
working on.
• No make-up sessions will be given for absence without a documented reasonable excuse.
• Attendance is very important. Five absences results in a failing grade.
• It is your responsibility to regularly check with me or the website to be aware of any
important/emergency notice about the course or class schedule.
• Neatness counts. Please submit neat homework and class work. (All assignments will be
typed!) Points may be taken off if your exam or work paper is unreadable or not neat and
organized.
• The computer lab is for classwork only, surfing the web, listening to music or playing games
is prohibited.
• Cell phones may be used for research only (when permission is given). Do not use your cell
phone during a lecture.
MATH 1910 Course Syllabus Calculus I
Course instructor: Leonard Ciletti
E-mail: cilettil@rcschools.net or lciletti@mscc.edu
Website:
http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094
Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage
ISBN-13: 978-1285057095
You can rent or purchase on Amazon or Chegg
Description:
This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric
expressions and their application to graphing, maxima and minima, and related rates; integration of
algebraic and trigonometric expressions and area under curves.
Credit Hours: 4 Contact Hours: 4 Lab Hours: 0
Prerequisite(s):
Documented eligibility for collegiate mathematics; high school credits in college preparatory
mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH
1720.
Required Supplies/Material(s):
TI-83, 84(recommended) or 89
Student solution manual
Students will:
1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as
well as to prepare those students who are required to take MATH 1920;
2) Use technology in a manner that will promote better understanding of concepts introduced
throughout the course;
3) Demonstrate the concepts of continuity and limit of a function intuitively;
4) Learn methods of differentiation of algebraic and trigonometric functions;
5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and
relations;
6) Apply the derivative to specific modeling problems involving, for example, motion, maxima
and minima, and related rates;
7) Understand the concept of integration, show its application to area under curves, and practice
integration of algebraic and trigonometric expressions.
MATH 1910 Course Syllabus Calculus I
Course Objectives:
Through the study of Calculus, the student will:
1) understand basic ideas about what calculus is;
2) examine and determine by tables and graphs whether or not the limit of a function exists at a given
value of x and if so, find that limit;
3) discuss the formal ∈, δ definition of a limit;
4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques
and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig
identities for evaluating limits;
5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval
containing x and examine removable and nonremovable discontinuities;
6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;
7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and
continuity; (greatest integer function is optional)
8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical
asymptotes;
9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on
the curve near P;
10) find the derivative of a function by use of the definition and discuss the relationship between
differentiability and continuity;
11) write the equation of the line tangent to a given curve at a given point;
12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and
apply to simple motion problems;
13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power
rules and evaluate at given values of x;
14) find the derivative of a function using implicit differentiation;
15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply
to equations of motion;
16) apply differentiation processes to related rates problems;
17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints
optional)
18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)
19) determine intervals over which a curve is increasing or decreasing and determine relative maximum
and minimum values of given functions by use of the first derivative;
20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of
the second derivative; (maxima and minima test is optional)
21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal
asymptotes;
22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by
use of the first and second derivatives;
23) apply derivatives to solve optimization (maximum/minimum) problems;
24) use Newton's method to find zeros of functions; (optional)
25) understand and find differentials of functions and apply to determining error; (error is optional)
MATH 1910 Course Syllabus Calculus I
26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and
trigonometric functions and apply to initial value problems;
27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle
at a given time; (optional)
28) perform operations with sigma notation and use it to find the area under the graphs of certain
polynomial functions by using the definition of definite integral and rectangular subdivisions;
29) study geometric and analytic properties of the definite and indefinite integral;
30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial
and other algebraic relations and trigonometric functions, and apply to finding the area under curves;
31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general
power rule for integration and by u-substitution procedures;
32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals
and analyze error of results. (optional)
Grading Policy:
Quizzes/Homework: 20% (closed book and closed notes)
Tests: 60% (closed book and closed notes)
Final Exam: 20% (closed book and closed notes)
Letter Grade Distribution:
90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F
Tests
Topics covered
Test 1 Objectives 1-8 Chapter 1
Test 2 Objectives 9-16
Test 3 Objectives 17-22
Test 4 Objectives 23-29
Final Exam Comprehensive 1-32
Course Material and Schedule
Week Topic/Chapter
1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4
2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8
3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11
4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12
5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15
6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16
7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17
8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20
9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22
10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23
11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27
12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28
13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30
14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32
15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32
MATH 1910 Course Syllabus Calculus I
Note: This schedule may change. If changes are made, announcements will be made in advance
regarding those changes. It is your responsibility to conform to all announcements, changes, and
additions made during the classes.
Class and Lab Policies:
• Please conform to all regulations and safety rules.
• Do not touch other lab equipment in the classroom that does not pertain to what you are
working on.
• No make-up sessions will be given for absence without a documented reasonable excuse.
• Attendance is very important. Five absences results in a failing grade.
• It is your responsibility to regularly check with me or the website to be aware of any
important/emergency notice about the course or class schedule.
• Neatness counts. Please submit neat homework and class work. (All assignments will be
typed!) Points may be taken off if your exam or work paper is unreadable or not neat and
organized.
• The computer lab is for classwork only, surfing the web, listening to music or playing games
is prohibited.
• Cell phones may be used for research only (when permission is given). Do not use your cell
phone during a lecture.
MATH 1910 Course Syllabus Calculus I
Course instructor: Leonard Ciletti
E-mail: cilettil@rcschools.net or lciletti@mscc.edu
Website:
http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094
Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage
ISBN-13: 978-1285057095
You can rent or purchase on Amazon or Chegg
Description:
This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric
expressions and their application to graphing, maxima and minima, and related rates; integration of
algebraic and trigonometric expressions and area under curves.
Credit Hours: 4 Contact Hours: 4 Lab Hours: 0
Prerequisite(s):
Documented eligibility for collegiate mathematics; high school credits in college preparatory
mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH
1720.
Required Supplies/Material(s):
TI-83, 84(recommended) or 89
Student solution manual
Students will:
1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as
well as to prepare those students who are required to take MATH 1920;
2) Use technology in a manner that will promote better understanding of concepts introduced
throughout the course;
3) Demonstrate the concepts of continuity and limit of a function intuitively;
4) Learn methods of differentiation of algebraic and trigonometric functions;
5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and
relations;
6) Apply the derivative to specific modeling problems involving, for example, motion, maxima
and minima, and related rates;
7) Understand the concept of integration, show its application to area under curves, and practice
integration of algebraic and trigonometric expressions.
MATH 1910 Course Syllabus Calculus I
Course Objectives:
Through the study of Calculus, the student will:
1) understand basic ideas about what calculus is;
2) examine and determine by tables and graphs whether or not the limit of a function exists at a given
value of x and if so, find that limit;
3) discuss the formal ∈, δ definition of a limit;
4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques
and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig
identities for evaluating limits;
5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval
containing x and examine removable and nonremovable discontinuities;
6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;
7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and
continuity; (greatest integer function is optional)
8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical
asymptotes;
9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on
the curve near P;
10) find the derivative of a function by use of the definition and discuss the relationship between
differentiability and continuity;
11) write the equation of the line tangent to a given curve at a given point;
12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and
apply to simple motion problems;
13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power
rules and evaluate at given values of x;
14) find the derivative of a function using implicit differentiation;
15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply
to equations of motion;
16) apply differentiation processes to related rates problems;
17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints
optional)
18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)
19) determine intervals over which a curve is increasing or decreasing and determine relative maximum
and minimum values of given functions by use of the first derivative;
20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of
the second derivative; (maxima and minima test is optional)
21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal
asymptotes;
22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by
use of the first and second derivatives;
23) apply derivatives to solve optimization (maximum/minimum) problems;
24) use Newton's method to find zeros of functions; (optional)
25) understand and find differentials of functions and apply to determining error; (error is optional)
MATH 1910 Course Syllabus Calculus I
26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and
trigonometric functions and apply to initial value problems;
27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle
at a given time; (optional)
28) perform operations with sigma notation and use it to find the area under the graphs of certain
polynomial functions by using the definition of definite integral and rectangular subdivisions;
29) study geometric and analytic properties of the definite and indefinite integral;
30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial
and other algebraic relations and trigonometric functions, and apply to finding the area under curves;
31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general
power rule for integration and by u-substitution procedures;
32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals
and analyze error of results. (optional)
Grading Policy:
Quizzes/Homework: 20% (closed book and closed notes)
Tests: 60% (closed book and closed notes)
Final Exam: 20% (closed book and closed notes)
Letter Grade Distribution:
90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F
Tests
Topics covered
Test 1 Objectives 1-8 Chapter 1
Test 2 Objectives 9-16
Test 3 Objectives 17-22
Test 4 Objectives 23-29
Final Exam Comprehensive 1-32
Course Material and Schedule
Week Topic/Chapter
1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4
2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8
3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11
4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12
5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15
6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16
7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17
8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20
9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22
10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23
11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27
12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28
13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30
14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32
15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32
MATH 1910 Course Syllabus Calculus I
Note: This schedule may change. If changes are made, announcements will be made in advance
regarding those changes. It is your responsibility to conform to all announcements, changes, and
additions made during the classes.
Class and Lab Policies:
• Please conform to all regulations and safety rules.
• Do not touch other lab equipment in the classroom that does not pertain to what you are
working on.
• No make-up sessions will be given for absence without a documented reasonable excuse.
• Attendance is very important. Five absences results in a failing grade.
• It is your responsibility to regularly check with me or the website to be aware of any
important/emergency notice about the course or class schedule.
• Neatness counts. Please submit neat homework and class work. (All assignments will be
typed!) Points may be taken off if your exam or work paper is unreadable or not neat and
organized.
• The computer lab is for classwork only, surfing the web, listening to music or playing games
is prohibited.
• Cell phones may be used for research only (when permission is given). Do not use your cell
phone during a lecture.
MATH 1910 Course Syllabus Calculus I
Course instructor: Leonard Ciletti
E-mail: cilettil@rcschools.net or lciletti@mscc.edu
Website:
http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094
Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage
ISBN-13: 978-1285057095
You can rent or purchase on Amazon or Chegg
Description:
This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric
expressions and their application to graphing, maxima and minima, and related rates; integration of
algebraic and trigonometric expressions and area under curves.
Credit Hours: 4 Contact Hours: 4 Lab Hours: 0
Prerequisite(s):
Documented eligibility for collegiate mathematics; high school credits in college preparatory
mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH
1720.
Required Supplies/Material(s):
TI-83, 84(recommended) or 89
Student solution manual
Students will:
1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as
well as to prepare those students who are required to take MATH 1920;
2) Use technology in a manner that will promote better understanding of concepts introduced
throughout the course;
3) Demonstrate the concepts of continuity and limit of a function intuitively;
4) Learn methods of differentiation of algebraic and trigonometric functions;
5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and
relations;
6) Apply the derivative to specific modeling problems involving, for example, motion, maxima
and minima, and related rates;
7) Understand the concept of integration, show its application to area under curves, and practice
integration of algebraic and trigonometric expressions.
MATH 1910 Course Syllabus Calculus I
Course Objectives:
Through the study of Calculus, the student will:
1) understand basic ideas about what calculus is;
2) examine and determine by tables and graphs whether or not the limit of a function exists at a given
value of x and if so, find that limit;
3) discuss the formal ∈, δ definition of a limit;
4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques
and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig
identities for evaluating limits;
5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval
containing x and examine removable and nonremovable discontinuities;
6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;
7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and
continuity; (greatest integer function is optional)
8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical
asymptotes;
9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on
the curve near P;
10) find the derivative of a function by use of the definition and discuss the relationship between
differentiability and continuity;
11) write the equation of the line tangent to a given curve at a given point;
12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and
apply to simple motion problems;
13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power
rules and evaluate at given values of x;
14) find the derivative of a function using implicit differentiation;
15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply
to equations of motion;
16) apply differentiation processes to related rates problems;
17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints
optional)
18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)
19) determine intervals over which a curve is increasing or decreasing and determine relative maximum
and minimum values of given functions by use of the first derivative;
20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of
the second derivative; (maxima and minima test is optional)
21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal
asymptotes;
22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by
use of the first and second derivatives;
23) apply derivatives to solve optimization (maximum/minimum) problems;
24) use Newton's method to find zeros of functions; (optional)
25) understand and find differentials of functions and apply to determining error; (error is optional)
MATH 1910 Course Syllabus Calculus I
26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and
trigonometric functions and apply to initial value problems;
27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle
at a given time; (optional)
28) perform operations with sigma notation and use it to find the area under the graphs of certain
polynomial functions by using the definition of definite integral and rectangular subdivisions;
29) study geometric and analytic properties of the definite and indefinite integral;
30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial
and other algebraic relations and trigonometric functions, and apply to finding the area under curves;
31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general
power rule for integration and by u-substitution procedures;
32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals
and analyze error of results. (optional)
Grading Policy:
Quizzes/Homework: 20% (closed book and closed notes)
Tests: 60% (closed book and closed notes)
Final Exam: 20% (closed book and closed notes)
Letter Grade Distribution:
90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F
Tests
Topics covered
Test 1 Objectives 1-8 Chapter 1
Test 2 Objectives 9-16
Test 3 Objectives 17-22
Test 4 Objectives 23-29
Final Exam Comprehensive 1-32
Course Material and Schedule
Week Topic/Chapter
1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4
2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8
3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11
4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12
5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15
6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16
7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17
8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20
9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22
10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23
11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27
12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28
13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30
14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32
15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32
MATH 1910 Course Syllabus Calculus I
Note: This schedule may change. If changes are made, announcements will be made in advance
regarding those changes. It is your responsibility to conform to all announcements, changes, and
additions made during the classes.
Class and Lab Policies:
• Please conform to all regulations and safety rules.
• Do not touch other lab equipment in the classroom that does not pertain to what you are
working on.
• No make-up sessions will be given for absence without a documented reasonable excuse.
• Attendance is very important. Five absences results in a failing grade.
• It is your responsibility to regularly check with me or the website to be aware of any
important/emergency notice about the course or class schedule.
• Neatness counts. Please submit neat homework and class work. (All assignments will be
typed!) Points may be taken off if your exam or work paper is unreadable or not neat and
organized.
• The computer lab is for classwork only, surfing the web, listening to music or playing games
is prohibited.
• Cell phones may be used for research only (when permission is given). Do not use your cell
phone during a lecture.
MATH 1910 Course Syllabus Calculus I
Course instructor: Leonard Ciletti
E-mail: cilettil@rcschools.net or lciletti@mscc.edu
Website:
http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094
Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage
ISBN-13: 978-1285057095
You can rent or purchase on Amazon or Chegg
Description:
This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric
expressions and their application to graphing, maxima and minima, and related rates; integration of
algebraic and trigonometric expressions and area under curves.
Credit Hours: 4 Contact Hours: 4 Lab Hours: 0
Prerequisite(s):
Documented eligibility for collegiate mathematics; high school credits in college preparatory
mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH
1720.
Required Supplies/Material(s):
TI-83, 84(recommended) or 89
Student solution manual
Students will:
1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as
well as to prepare those students who are required to take MATH 1920;
2) Use technology in a manner that will promote better understanding of concepts introduced
throughout the course;
3) Demonstrate the concepts of continuity and limit of a function intuitively;
4) Learn methods of differentiation of algebraic and trigonometric functions;
5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and
relations;
6) Apply the derivative to specific modeling problems involving, for example, motion, maxima
and minima, and related rates;
7) Understand the concept of integration, show its application to area under curves, and practice
integration of algebraic and trigonometric expressions.
MATH 1910 Course Syllabus Calculus I
Course Objectives:
Through the study of Calculus, the student will:
1) understand basic ideas about what calculus is;
2) examine and determine by tables and graphs whether or not the limit of a function exists at a given
value of x and if so, find that limit;
3) discuss the formal ∈, δ definition of a limit;
4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques
and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig
identities for evaluating limits;
5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval
containing x and examine removable and nonremovable discontinuities;
6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;
7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and
continuity; (greatest integer function is optional)
8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical
asymptotes;
9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on
the curve near P;
10) find the derivative of a function by use of the definition and discuss the relationship between
differentiability and continuity;
11) write the equation of the line tangent to a given curve at a given point;
12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and
apply to simple motion problems;
13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power
rules and evaluate at given values of x;
14) find the derivative of a function using implicit differentiation;
15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply
to equations of motion;
16) apply differentiation processes to related rates problems;
17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints
optional)
18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)
19) determine intervals over which a curve is increasing or decreasing and determine relative maximum
and minimum values of given functions by use of the first derivative;
20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of
the second derivative; (maxima and minima test is optional)
21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal
asymptotes;
22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by
use of the first and second derivatives;
23) apply derivatives to solve optimization (maximum/minimum) problems;
24) use Newton's method to find zeros of functions; (optional)
25) understand and find differentials of functions and apply to determining error; (error is optional)
MATH 1910 Course Syllabus Calculus I
26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and
trigonometric functions and apply to initial value problems;
27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle
at a given time; (optional)
28) perform operations with sigma notation and use it to find the area under the graphs of certain
polynomial functions by using the definition of definite integral and rectangular subdivisions;
29) study geometric and analytic properties of the definite and indefinite integral;
30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial
and other algebraic relations and trigonometric functions, and apply to finding the area under curves;
31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general
power rule for integration and by u-substitution procedures;
32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals
and analyze error of results. (optional)
Grading Policy:
Quizzes/Homework: 20% (closed book and closed notes)
Tests: 60% (closed book and closed notes)
Final Exam: 20% (closed book and closed notes)
Letter Grade Distribution:
90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F
Tests
Topics covered
Test 1 Objectives 1-8 Chapter 1
Test 2 Objectives 9-16
Test 3 Objectives 17-22
Test 4 Objectives 23-29
Final Exam Comprehensive 1-32
Course Material and Schedule
Week Topic/Chapter
1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4
2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8
3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11
4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12
5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15
6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16
7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17
8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20
9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22
10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23
11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27
12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28
13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30
14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32
15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32
MATH 1910 Course Syllabus Calculus I
Note: This schedule may change. If changes are made, announcements will be made in advance
regarding those changes. It is your responsibility to conform to all announcements, changes, and
additions made during the classes.
Class and Lab Policies:
• Please conform to all regulations and safety rules.
• Do not touch other lab equipment in the classroom that does not pertain to what you are
working on.
• No make-up sessions will be given for absence without a documented reasonable excuse.
• Attendance is very important. Five absences results in a failing grade.
• It is your responsibility to regularly check with me or the website to be aware of any
important/emergency notice about the course or class schedule.
• Neatness counts. Please submit neat homework and class work. (All assignments will be
typed!) Points may be taken off if your exam or work paper is unreadable or not neat and
organized.
• The computer lab is for classwork only, surfing the web, listening to music or playing games
is prohibited.
• Cell phones may be used for research only (when permission is given). Do not use your cell
phone during a lecture.
MATH 1910 Course Syllabus Calculus I
Course instructor: Leonard Ciletti
E-mail: cilettil@rcschools.net or lciletti@mscc.edu
Website:
http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094
Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage
ISBN-13: 978-1285057095
You can rent or purchase on Amazon or Chegg
Description:
This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric
expressions and their application to graphing, maxima and minima, and related rates; integration of
algebraic and trigonometric expressions and area under curves.
Credit Hours: 4 Contact Hours: 4 Lab Hours: 0
Prerequisite(s):
Documented eligibility for collegiate mathematics; high school credits in college preparatory
mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH
1720.
Required Supplies/Material(s):
TI-83, 84(recommended) or 89
Student solution manual
Students will:
1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as
well as to prepare those students who are required to take MATH 1920;
2) Use technology in a manner that will promote better understanding of concepts introduced
throughout the course;
3) Demonstrate the concepts of continuity and limit of a function intuitively;
4) Learn methods of differentiation of algebraic and trigonometric functions;
5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and
relations;
6) Apply the derivative to specific modeling problems involving, for example, motion, maxima
and minima, and related rates;
7) Understand the concept of integration, show its application to area under curves, and practice
integration of algebraic and trigonometric expressions.
MATH 1910 Course Syllabus Calculus I
Course Objectives:
Through the study of Calculus, the student will:
1) understand basic ideas about what calculus is;
2) examine and determine by tables and graphs whether or not the limit of a function exists at a given
value of x and if so, find that limit;
3) discuss the formal ∈, δ definition of a limit;
4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques
and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig
identities for evaluating limits;
5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval
containing x and examine removable and nonremovable discontinuities;
6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;
7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and
continuity; (greatest integer function is optional)
8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical
asymptotes;
9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on
the curve near P;
10) find the derivative of a function by use of the definition and discuss the relationship between
differentiability and continuity;
11) write the equation of the line tangent to a given curve at a given point;
12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and
apply to simple motion problems;
13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power
rules and evaluate at given values of x;
14) find the derivative of a function using implicit differentiation;
15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply
to equations of motion;
16) apply differentiation processes to related rates problems;
17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints
optional)
18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)
19) determine intervals over which a curve is increasing or decreasing and determine relative maximum
and minimum values of given functions by use of the first derivative;
20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of
the second derivative; (maxima and minima test is optional)
21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal
asymptotes;
22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by
use of the first and second derivatives;
23) apply derivatives to solve optimization (maximum/minimum) problems;
24) use Newton's method to find zeros of functions; (optional)
25) understand and find differentials of functions and apply to determining error; (error is optional)
MATH 1910 Course Syllabus Calculus I
26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and
trigonometric functions and apply to initial value problems;
27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle
at a given time; (optional)
28) perform operations with sigma notation and use it to find the area under the graphs of certain
polynomial functions by using the definition of definite integral and rectangular subdivisions;
29) study geometric and analytic properties of the definite and indefinite integral;
30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial
and other algebraic relations and trigonometric functions, and apply to finding the area under curves;
31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general
power rule for integration and by u-substitution procedures;
32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals
and analyze error of results. (optional)
Grading Policy:
Quizzes/Homework: 20% (closed book and closed notes)
Tests: 60% (closed book and closed notes)
Final Exam: 20% (closed book and closed notes)
Letter Grade Distribution:
90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F
Tests
Topics covered
Test 1 Objectives 1-8 Chapter 1
Test 2 Objectives 9-16
Test 3 Objectives 17-22
Test 4 Objectives 23-29
Final Exam Comprehensive 1-32
Course Material and Schedule
Week Topic/Chapter
1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4
2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8
3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11
4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12
5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15
6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16
7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17
8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20
9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22
10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23
11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27
12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28
13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30
14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32
15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32
MATH 1910 Course Syllabus Calculus I
Note: This schedule may change. If changes are made, announcements will be made in advance
regarding those changes. It is your responsibility to conform to all announcements, changes, and
additions made during the classes.
Class and Lab Policies:
• Please conform to all regulations and safety rules.
• Do not touch other lab equipment in the classroom that does not pertain to what you are
working on.
• No make-up sessions will be given for absence without a documented reasonable excuse.
• Attendance is very important. Five absences results in a failing grade.
• It is your responsibility to regularly check with me or the website to be aware of any
important/emergency notice about the course or class schedule.
• Neatness counts. Please submit neat homework and class work. (All assignments will be
typed!) Points may be taken off if your exam or work paper is unreadable or not neat and
organized.
• The computer lab is for classwork only, surfing the web, listening to music or playing games
is prohibited.
• Cell phones may be used for research only (when permission is given). Do not use your cell
phone during a lecture.
MATH 1910 Course Syllabus Calculus I
Course instructor: Leonard Ciletti
E-mail: cilettil@rcschools.net or lciletti@mscc.edu
Website:
http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094
Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage
ISBN-13: 978-1285057095
You can rent or purchase on Amazon or Chegg
Description:
This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric
expressions and their application to graphing, maxima and minima, and related rates; integration of
algebraic and trigonometric expressions and area under curves.
Credit Hours: 4 Contact Hours: 4 Lab Hours: 0
Prerequisite(s):
Documented eligibility for collegiate mathematics; high school credits in college preparatory
mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH
1720.
Required Supplies/Material(s):
TI-83, 84(recommended) or 89
Student solution manual
Students will:
1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as
well as to prepare those students who are required to take MATH 1920;
2) Use technology in a manner that will promote better understanding of concepts introduced
throughout the course;
3) Demonstrate the concepts of continuity and limit of a function intuitively;
4) Learn methods of differentiation of algebraic and trigonometric functions;
5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and
relations;
6) Apply the derivative to specific modeling problems involving, for example, motion, maxima
and minima, and related rates;
7) Understand the concept of integration, show its application to area under curves, and practice
integration of algebraic and trigonometric expressions.
MATH 1910 Course Syllabus Calculus I
Course Objectives:
Through the study of Calculus, the student will:
1) understand basic ideas about what calculus is;
2) examine and determine by tables and graphs whether or not the limit of a function exists at a given
value of x and if so, find that limit;
3) discuss the formal ∈, δ definition of a limit;
4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques
and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig
identities for evaluating limits;
5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval
containing x and examine removable and nonremovable discontinuities;
6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;
7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and
continuity; (greatest integer function is optional)
8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical
asymptotes;
9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on
the curve near P;
10) find the derivative of a function by use of the definition and discuss the relationship between
differentiability and continuity;
11) write the equation of the line tangent to a given curve at a given point;
12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and
apply to simple motion problems;
13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power
rules and evaluate at given values of x;
14) find the derivative of a function using implicit differentiation;
15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply
to equations of motion;
16) apply differentiation processes to related rates problems;
17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints
optional)
18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)
19) determine intervals over which a curve is increasing or decreasing and determine relative maximum
and minimum values of given functions by use of the first derivative;
20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of
the second derivative; (maxima and minima test is optional)
21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal
asymptotes;
22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by
use of the first and second derivatives;
23) apply derivatives to solve optimization (maximum/minimum) problems;
24) use Newton's method to find zeros of functions; (optional)
25) understand and find differentials of functions and apply to determining error; (error is optional)
MATH 1910 Course Syllabus Calculus I
26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and
trigonometric functions and apply to initial value problems;
27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle
at a given time; (optional)
28) perform operations with sigma notation and use it to find the area under the graphs of certain
polynomial functions by using the definition of definite integral and rectangular subdivisions;
29) study geometric and analytic properties of the definite and indefinite integral;
30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial
and other algebraic relations and trigonometric functions, and apply to finding the area under curves;
31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general
power rule for integration and by u-substitution procedures;
32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals
and analyze error of results. (optional)
Grading Policy:
Quizzes/Homework: 20% (closed book and closed notes)
Tests: 60% (closed book and closed notes)
Final Exam: 20% (closed book and closed notes)
Letter Grade Distribution:
90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F
Tests
Topics covered
Test 1 Objectives 1-8 Chapter 1
Test 2 Objectives 9-16
Test 3 Objectives 17-22
Test 4 Objectives 23-29
Final Exam Comprehensive 1-32
Course Material and Schedule
Week Topic/Chapter
1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4
2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8
3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11
4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12
5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15
6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16
7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17
8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20
9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22
10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23
11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27
12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28
13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30
14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32
15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32
MATH 1910 Course Syllabus Calculus I
Note: This schedule may change. If changes are made, announcements will be made in advance
regarding those changes. It is your responsibility to conform to all announcements, changes, and
additions made during the classes.
Class and Lab Policies:
• Please conform to all regulations and safety rules.
• Do not touch other lab equipment in the classroom that does not pertain to what you are
working on.
• No make-up sessions will be given for absence without a documented reasonable excuse.
• Attendance is very important. Five absences results in a failing grade.
• It is your responsibility to regularly check with me or the website to be aware of any
important/emergency notice about the course or class schedule.
• Neatness counts. Please submit neat homework and class work. (All assignments will be
typed!) Points may be taken off if your exam or work paper is unreadable or not neat and
organized.
• The computer lab is for classwork only, surfing the web, listening to music or playing games
is prohibited.
• Cell phones may be used for research only (when permission is given). Do not use your cell
phone during a lecture.
MATH 1910 Course Syllabus Calculus I
Course instructor: Leonard Ciletti
E-mail: cilettil@rcschools.net or lciletti@mscc.edu
Website:
http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094
Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage
ISBN-13: 978-1285057095
You can rent or purchase on Amazon or Chegg
Description:
This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric
expressions and their application to graphing, maxima and minima, and related rates; integration of
algebraic and trigonometric expressions and area under curves.
Credit Hours: 4 Contact Hours: 4 Lab Hours: 0
Prerequisite(s):
Documented eligibility for collegiate mathematics; high school credits in college preparatory
mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH
1720.
Required Supplies/Material(s):
TI-83, 84(recommended) or 89
Student solution manual
Students will:
1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as
well as to prepare those students who are required to take MATH 1920;
2) Use technology in a manner that will promote better understanding of concepts introduced
throughout the course;
3) Demonstrate the concepts of continuity and limit of a function intuitively;
4) Learn methods of differentiation of algebraic and trigonometric functions;
5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and
relations;
6) Apply the derivative to specific modeling problems involving, for example, motion, maxima
and minima, and related rates;
7) Understand the concept of integration, show its application to area under curves, and practice
integration of algebraic and trigonometric expressions.
MATH 1910 Course Syllabus Calculus I
Course Objectives:
Through the study of Calculus, the student will:
1) understand basic ideas about what calculus is;
2) examine and determine by tables and graphs whether or not the limit of a function exists at a given
value of x and if so, find that limit;
3) discuss the formal ∈, δ definition of a limit;
4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques
and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig
identities for evaluating limits;
5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval
containing x and examine removable and nonremovable discontinuities;
6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;
7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and
continuity; (greatest integer function is optional)
8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical
asymptotes;
9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on
the curve near P;
10) find the derivative of a function by use of the definition and discuss the relationship between
differentiability and continuity;
11) write the equation of the line tangent to a given curve at a given point;
12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and
apply to simple motion problems;
13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power
rules and evaluate at given values of x;
14) find the derivative of a function using implicit differentiation;
15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply
to equations of motion;
16) apply differentiation processes to related rates problems;
17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints
optional)
18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)
19) determine intervals over which a curve is increasing or decreasing and determine relative maximum
and minimum values of given functions by use of the first derivative;
20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of
the second derivative; (maxima and minima test is optional)
21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal
asymptotes;
22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by
use of the first and second derivatives;
23) apply derivatives to solve optimization (maximum/minimum) problems;
24) use Newton's method to find zeros of functions; (optional)
25) understand and find differentials of functions and apply to determining error; (error is optional)
MATH 1910 Course Syllabus Calculus I
26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and
trigonometric functions and apply to initial value problems;
27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle
at a given time; (optional)
28) perform operations with sigma notation and use it to find the area under the graphs of certain
polynomial functions by using the definition of definite integral and rectangular subdivisions;
29) study geometric and analytic properties of the definite and indefinite integral;
30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial
and other algebraic relations and trigonometric functions, and apply to finding the area under curves;
31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general
power rule for integration and by u-substitution procedures;
32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals
and analyze error of results. (optional)
Grading Policy:
Quizzes/Homework: 20% (closed book and closed notes)
Tests: 60% (closed book and closed notes)
Final Exam: 20% (closed book and closed notes)
Letter Grade Distribution:
90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F
Tests
Topics covered
Test 1 Objectives 1-8 Chapter 1
Test 2 Objectives 9-16
Test 3 Objectives 17-22
Test 4 Objectives 23-29
Final Exam Comprehensive 1-32
Course Material and Schedule
Week Topic/Chapter
1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4
2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8
3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11
4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12
5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15
6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16
7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17
8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20
9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22
10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23
11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27
12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28
13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30
14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32
15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32
MATH 1910 Course Syllabus Calculus I
Note: This schedule may change. If changes are made, announcements will be made in advance
regarding those changes. It is your responsibility to conform to all announcements, changes, and
additions made during the classes.
Class and Lab Policies:
• Please conform to all regulations and safety rules.
• Do not touch other lab equipment in the classroom that does not pertain to what you are
working on.
• No make-up sessions will be given for absence without a documented reasonable excuse.
• Attendance is very important. Five absences results in a failing grade.
• It is your responsibility to regularly check with me or the website to be aware of any
important/emergency notice about the course or class schedule.
• Neatness counts. Please submit neat homework and class work. (All assignments will be
typed!) Points may be taken off if your exam or work paper is unreadable or not neat and
organized.
• The computer lab is for classwork only, surfing the web, listening to music or playing games
is prohibited.
• Cell phones may be used for research only (when permission is given). Do not use your cell
phone during a lecture.
MATH 1910 Course Syllabus Calculus I
Course instructor: Leonard Ciletti
E-mail: cilettil@rcschools.net or lciletti@mscc.edu
Website:
http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094
Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage
ISBN-13: 978-1285057095
You can rent or purchase on Amazon or Chegg
Description:
This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric
expressions and their application to graphing, maxima and minima, and related rates; integration of
algebraic and trigonometric expressions and area under curves.
Credit Hours: 4 Contact Hours: 4 Lab Hours: 0
Prerequisite(s):
Documented eligibility for collegiate mathematics; high school credits in college preparatory
mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH
1720.
Required Supplies/Material(s):
TI-83, 84(recommended) or 89
Student solution manual
Students will:
1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as
well as to prepare those students who are required to take MATH 1920;
2) Use technology in a manner that will promote better understanding of concepts introduced
throughout the course;
3) Demonstrate the concepts of continuity and limit of a function intuitively;
4) Learn methods of differentiation of algebraic and trigonometric functions;
5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and
relations;
6) Apply the derivative to specific modeling problems involving, for example, motion, maxima
and minima, and related rates;
7) Understand the concept of integration, show its application to area under curves, and practice
integration of algebraic and trigonometric expressions.
MATH 1910 Course Syllabus Calculus I
Course Objectives:
Through the study of Calculus, the student will:
1) understand basic ideas about what calculus is;
2) examine and determine by tables and graphs whether or not the limit of a function exists at a given
value of x and if so, find that limit;
3) discuss the formal ∈, δ definition of a limit;
4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques
and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig
identities for evaluating limits;
5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval
containing x and examine removable and nonremovable discontinuities;
6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;
7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and
continuity; (greatest integer function is optional)
8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical
asymptotes;
9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on
the curve near P;
10) find the derivative of a function by use of the definition and discuss the relationship between
differentiability and continuity;
11) write the equation of the line tangent to a given curve at a given point;
12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and
apply to simple motion problems;
13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power
rules and evaluate at given values of x;
14) find the derivative of a function using implicit differentiation;
15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply
to equations of motion;
16) apply differentiation processes to related rates problems;
17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints
optional)
18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)
19) determine intervals over which a curve is increasing or decreasing and determine relative maximum
and minimum values of given functions by use of the first derivative;
20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of
the second derivative; (maxima and minima test is optional)
21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal
asymptotes;
22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by
use of the first and second derivatives;
23) apply derivatives to solve optimization (maximum/minimum) problems;
24) use Newton's method to find zeros of functions; (optional)
25) understand and find differentials of functions and apply to determining error; (error is optional)
MATH 1910 Course Syllabus Calculus I
26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and
trigonometric functions and apply to initial value problems;
27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle
at a given time; (optional)
28) perform operations with sigma notation and use it to find the area under the graphs of certain
polynomial functions by using the definition of definite integral and rectangular subdivisions;
29) study geometric and analytic properties of the definite and indefinite integral;
30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial
and other algebraic relations and trigonometric functions, and apply to finding the area under curves;
31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general
power rule for integration and by u-substitution procedures;
32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals
and analyze error of results. (optional)
Grading Policy:
Quizzes/Homework: 20% (closed book and closed notes)
Tests: 60% (closed book and closed notes)
Final Exam: 20% (closed book and closed notes)
Letter Grade Distribution:
90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F
Tests
Topics covered
Test 1 Objectives 1-8 Chapter 1
Test 2 Objectives 9-16
Test 3 Objectives 17-22
Test 4 Objectives 23-29
Final Exam Comprehensive 1-32
Course Material and Schedule
Week Topic/Chapter
1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4
2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8
3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11
4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12
5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15
6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16
7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17
8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20
9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22
10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23
11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27
12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28
13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30
14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32
15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32
MATH 1910 Course Syllabus Calculus I
Note: This schedule may change. If changes are made, announcements will be made in advance
regarding those changes. It is your responsibility to conform to all announcements, changes, and
additions made during the classes.
Class and Lab Policies:
• Please conform to all regulations and safety rules.
• Do not touch other lab equipment in the classroom that does not pertain to what you are
working on.
• No make-up sessions will be given for absence without a documented reasonable excuse.
• Attendance is very important. Five absences results in a failing grade.
• It is your responsibility to regularly check with me or the website to be aware of any
important/emergency notice about the course or class schedule.
• Neatness counts. Please submit neat homework and class work. (All assignments will be
typed!) Points may be taken off if your exam or work paper is unreadable or not neat and
organized.
• The computer lab is for classwork only, surfing the web, listening to music or playing games
is prohibited.
• Cell phones may be used for research only (when permission is given). Do not use your cell
phone during a lecture.
MATH 1910 Course Syllabus Calculus I
Course instructor: Leonard Ciletti
E-mail: cilettil@rcschools.net or lciletti@mscc.edu
Website:
http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094
Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage
ISBN-13: 978-1285057095
You can rent or purchase on Amazon or Chegg
Description:
This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric
expressions and their application to graphing, maxima and minima, and related rates; integration of
algebraic and trigonometric expressions and area under curves.
Credit Hours: 4 Contact Hours: 4 Lab Hours: 0
Prerequisite(s):
Documented eligibility for collegiate mathematics; high school credits in college preparatory
mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH
1720.
Required Supplies/Material(s):
TI-83, 84(recommended) or 89
Student solution manual
Students will:
1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as
well as to prepare those students who are required to take MATH 1920;
2) Use technology in a manner that will promote better understanding of concepts introduced
throughout the course;
3) Demonstrate the concepts of continuity and limit of a function intuitively;
4) Learn methods of differentiation of algebraic and trigonometric functions;
5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and
relations;
6) Apply the derivative to specific modeling problems involving, for example, motion, maxima
and minima, and related rates;
7) Understand the concept of integration, show its application to area under curves, and practice
integration of algebraic and trigonometric expressions.
MATH 1910 Course Syllabus Calculus I
Course Objectives:
Through the study of Calculus, the student will:
1) understand basic ideas about what calculus is;
2) examine and determine by tables and graphs whether or not the limit of a function exists at a given
value of x and if so, find that limit;
3) discuss the formal ∈, δ definition of a limit;
4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques
and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig
identities for evaluating limits;
5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval
containing x and examine removable and nonremovable discontinuities;
6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;
7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and
continuity; (greatest integer function is optional)
8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical
asymptotes;
9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on
the curve near P;
10) find the derivative of a function by use of the definition and discuss the relationship between
differentiability and continuity;
11) write the equation of the line tangent to a given curve at a given point;
12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and
apply to simple motion problems;
13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power
rules and evaluate at given values of x;
14) find the derivative of a function using implicit differentiation;
15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply
to equations of motion;
16) apply differentiation processes to related rates problems;
17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints
optional)
18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)
19) determine intervals over which a curve is increasing or decreasing and determine relative maximum
and minimum values of given functions by use of the first derivative;
20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of
the second derivative; (maxima and minima test is optional)
21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal
asymptotes;
22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by
use of the first and second derivatives;
23) apply derivatives to solve optimization (maximum/minimum) problems;
24) use Newton's method to find zeros of functions; (optional)
25) understand and find differentials of functions and apply to determining error; (error is optional)
MATH 1910 Course Syllabus Calculus I
26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and
trigonometric functions and apply to initial value problems;
27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle
at a given time; (optional)
28) perform operations with sigma notation and use it to find the area under the graphs of certain
polynomial functions by using the definition of definite integral and rectangular subdivisions;
29) study geometric and analytic properties of the definite and indefinite integral;
30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial
and other algebraic relations and trigonometric functions, and apply to finding the area under curves;
31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general
power rule for integration and by u-substitution procedures;
32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals
and analyze error of results. (optional)
Grading Policy:
Quizzes/Homework: 20% (closed book and closed notes)
Tests: 60% (closed book and closed notes)
Final Exam: 20% (closed book and closed notes)
Letter Grade Distribution:
90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F
Tests
Topics covered
Test 1 Objectives 1-8 Chapter 1
Test 2 Objectives 9-16
Test 3 Objectives 17-22
Test 4 Objectives 23-29
Final Exam Comprehensive 1-32
Course Material and Schedule
Week Topic/Chapter
1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4
2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8
3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11
4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12
5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15
6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16
7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17
8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20
9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22
10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23
11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27
12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28
13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30
14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32
15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32
MATH 1910 Course Syllabus Calculus I
Note: This schedule may change. If changes are made, announcements will be made in advance
regarding those changes. It is your responsibility to conform to all announcements, changes, and
additions made during the classes.
Class and Lab Policies:
• Please conform to all regulations and safety rules.
• Do not touch other lab equipment in the classroom that does not pertain to what you are
working on.
• No make-up sessions will be given for absence without a documented reasonable excuse.
• Attendance is very important. Five absences results in a failing grade.
• It is your responsibility to regularly check with me or the website to be aware of any
important/emergency notice about the course or class schedule.
• Neatness counts. Please submit neat homework and class work. (All assignments will be
typed!) Points may be taken off if your exam or work paper is unreadable or not neat and
organized.
• The computer lab is for classwork only, surfing the web, listening to music or playing games
is prohibited.
• Cell phones may be used for research only (when permission is given). Do not use your cell
phone during a lecture.
MATH 1910 Course Syllabus Calculus I
Course instructor: Leonard Ciletti
E-mail: cilettil@rcschools.net or lciletti@mscc.edu
Website:
http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094
Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage
ISBN-13: 978-1285057095
You can rent or purchase on Amazon or Chegg
Description:
This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric
expressions and their application to graphing, maxima and minima, and related rates; integration of
algebraic and trigonometric expressions and area under curves.
Credit Hours: 4 Contact Hours: 4 Lab Hours: 0
Prerequisite(s):
Documented eligibility for collegiate mathematics; high school credits in college preparatory
mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH
1720.
Required Supplies/Material(s):
TI-83, 84(recommended) or 89
Student solution manual
Students will:
1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as
well as to prepare those students who are required to take MATH 1920;
2) Use technology in a manner that will promote better understanding of concepts introduced
throughout the course;
3) Demonstrate the concepts of continuity and limit of a function intuitively;
4) Learn methods of differentiation of algebraic and trigonometric functions;
5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and
relations;
6) Apply the derivative to specific modeling problems involving, for example, motion, maxima
and minima, and related rates;
7) Understand the concept of integration, show its application to area under curves, and practice
integration of algebraic and trigonometric expressions.
MATH 1910 Course Syllabus Calculus I
Course Objectives:
Through the study of Calculus, the student will:
1) understand basic ideas about what calculus is;
2) examine and determine by tables and graphs whether or not the limit of a function exists at a given
value of x and if so, find that limit;
3) discuss the formal ∈, δ definition of a limit;
4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques
and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig
identities for evaluating limits;
5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval
containing x and examine removable and nonremovable discontinuities;
6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;
7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and
continuity; (greatest integer function is optional)
8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical
asymptotes;
9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on
the curve near P;
10) find the derivative of a function by use of the definition and discuss the relationship between
differentiability and continuity;
11) write the equation of the line tangent to a given curve at a given point;
12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and
apply to simple motion problems;
13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power
rules and evaluate at given values of x;
14) find the derivative of a function using implicit differentiation;
15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply
to equations of motion;
16) apply differentiation processes to related rates problems;
17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints
optional)
18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)
19) determine intervals over which a curve is increasing or decreasing and determine relative maximum
and minimum values of given functions by use of the first derivative;
20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of
the second derivative; (maxima and minima test is optional)
21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal
asymptotes;
22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by
use of the first and second derivatives;
23) apply derivatives to solve optimization (maximum/minimum) problems;
24) use Newton's method to find zeros of functions; (optional)
25) understand and find differentials of functions and apply to determining error; (error is optional)
MATH 1910 Course Syllabus Calculus I
26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and
trigonometric functions and apply to initial value problems;
27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle
at a given time; (optional)
28) perform operations with sigma notation and use it to find the area under the graphs of certain
polynomial functions by using the definition of definite integral and rectangular subdivisions;
29) study geometric and analytic properties of the definite and indefinite integral;
30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial
and other algebraic relations and trigonometric functions, and apply to finding the area under curves;
31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general
power rule for integration and by u-substitution procedures;
32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals
and analyze error of results. (optional)
Grading Policy:
Quizzes/Homework: 20% (closed book and closed notes)
Tests: 60% (closed book and closed notes)
Final Exam: 20% (closed book and closed notes)
Letter Grade Distribution:
90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F
Tests
Topics covered
Test 1 Objectives 1-8 Chapter 1
Test 2 Objectives 9-16
Test 3 Objectives 17-22
Test 4 Objectives 23-29
Final Exam Comprehensive 1-32
Course Material and Schedule
Week Topic/Chapter
1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4
2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8
3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11
4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12
5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15
6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16
7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17
8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20
9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22
10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23
11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27
12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28
13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30
14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32
15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32
MATH 1910 Course Syllabus Calculus I
Note: This schedule may change. If changes are made, announcements will be made in advance
regarding those changes. It is your responsibility to conform to all announcements, changes, and
additions made during the classes.
Class and Lab Policies:
• Please conform to all regulations and safety rules.
• Do not touch other lab equipment in the classroom that does not pertain to what you are
working on.
• No make-up sessions will be given for absence without a documented reasonable excuse.
• Attendance is very important. Five absences results in a failing grade.
• It is your responsibility to regularly check with me or the website to be aware of any
important/emergency notice about the course or class schedule.
• Neatness counts. Please submit neat homework and class work. (All assignments will be
typed!) Points may be taken off if your exam or work paper is unreadable or not neat and
organized.
• The computer lab is for classwork only, surfing the web, listening to music or playing games
is prohibited.
• Cell phones may be used for research only (when permission is given). Do not use your cell
phone during a lecture.
MATH 1910 Course Syllabus Calculus I
Course instructor: Leonard Ciletti
E-mail: cilettil@rcschools.net or lciletti@mscc.edu
Website:
http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094
Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage
ISBN-13: 978-1285057095
You can rent or purchase on Amazon or Chegg
Description:
This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric
expressions and their application to graphing, maxima and minima, and related rates; integration of
algebraic and trigonometric expressions and area under curves.
Credit Hours: 4 Contact Hours: 4 Lab Hours: 0
Prerequisite(s):
Documented eligibility for collegiate mathematics; high school credits in college preparatory
mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH
1720.
Required Supplies/Material(s):
TI-83, 84(recommended) or 89
Student solution manual
Students will:
1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as
well as to prepare those students who are required to take MATH 1920;
2) Use technology in a manner that will promote better understanding of concepts introduced
throughout the course;
3) Demonstrate the concepts of continuity and limit of a function intuitively;
4) Learn methods of differentiation of algebraic and trigonometric functions;
5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and
relations;
6) Apply the derivative to specific modeling problems involving, for example, motion, maxima
and minima, and related rates;
7) Understand the concept of integration, show its application to area under curves, and practice
integration of algebraic and trigonometric expressions.
MATH 1910 Course Syllabus Calculus I
Course Objectives:
Through the study of Calculus, the student will:
1) understand basic ideas about what calculus is;
2) examine and determine by tables and graphs whether or not the limit of a function exists at a given
value of x and if so, find that limit;
3) discuss the formal ∈, δ definition of a limit;
4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques
and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig
identities for evaluating limits;
5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval
containing x and examine removable and nonremovable discontinuities;
6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;
7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and
continuity; (greatest integer function is optional)
8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical
asymptotes;
9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on
the curve near P;
10) find the derivative of a function by use of the definition and discuss the relationship between
differentiability and continuity;
11) write the equation of the line tangent to a given curve at a given point;
12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and
apply to simple motion problems;
13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power
rules and evaluate at given values of x;
14) find the derivative of a function using implicit differentiation;
15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply
to equations of motion;
16) apply differentiation processes to related rates problems;
17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints
optional)
18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)
19) determine intervals over which a curve is increasing or decreasing and determine relative maximum
and minimum values of given functions by use of the first derivative;
20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of
the second derivative; (maxima and minima test is optional)
21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal
asymptotes;
22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by
use of the first and second derivatives;
23) apply derivatives to solve optimization (maximum/minimum) problems;
24) use Newton's method to find zeros of functions; (optional)
25) understand and find differentials of functions and apply to determining error; (error is optional)
MATH 1910 Course Syllabus Calculus I
26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and
trigonometric functions and apply to initial value problems;
27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle
at a given time; (optional)
28) perform operations with sigma notation and use it to find the area under the graphs of certain
polynomial functions by using the definition of definite integral and rectangular subdivisions;
29) study geometric and analytic properties of the definite and indefinite integral;
30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial
and other algebraic relations and trigonometric functions, and apply to finding the area under curves;
31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general
power rule for integration and by u-substitution procedures;
32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals
and analyze error of results. (optional)
Grading Policy:
Quizzes/Homework: 20% (closed book and closed notes)
Tests: 60% (closed book and closed notes)
Final Exam: 20% (closed book and closed notes)
Letter Grade Distribution:
90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F
Tests
Topics covered
Test 1 Objectives 1-8 Chapter 1
Test 2 Objectives 9-16
Test 3 Objectives 17-22
Test 4 Objectives 23-29
Final Exam Comprehensive 1-32
Course Material and Schedule
Week Topic/Chapter
1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4
2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8
3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11
4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12
5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15
6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16
7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17
8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20
9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22
10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23
11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27
12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28
13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30
14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32
15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32
MATH 1910 Course Syllabus Calculus I
Note: This schedule may change. If changes are made, announcements will be made in advance
regarding those changes. It is your responsibility to conform to all announcements, changes, and
additions made during the classes.
Class and Lab Policies:
• Please conform to all regulations and safety rules.
• Do not touch other lab equipment in the classroom that does not pertain to what you are
working on.
• No make-up sessions will be given for absence without a documented reasonable excuse.
• Attendance is very important. Five absences results in a failing grade.
• It is your responsibility to regularly check with me or the website to be aware of any
important/emergency notice about the course or class schedule.
• Neatness counts. Please submit neat homework and class work. (All assignments will be
typed!) Points may be taken off if your exam or work paper is unreadable or not neat and
organized.
• The computer lab is for classwork only, surfing the web, listening to music or playing games
is prohibited.
• Cell phones may be used for research only (when permission is given). Do not use your cell
phone during a lecture.