MATH 150 Module Information Booklet

Effective Date25 May 2015

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SCHOOL OF LIBERAL ARTS & SCIENCESAmerican Degree Transfer Program

MODULE INFORMATION BOOKLET

Pre-Calculus (MATH 150)

2016 SPRING SEMESTER(14 weeks)

Prepared by:Dr. Wong Yau Hsiung

Checked by: Approved by:

Theresa ChiewStream Coordinator

Mathematics DepartmentSchool of Liberal Arts and Sciences

26-Jan-2016

Prema PonnuduraiProgram Director

American Degree Transfer ProgramSchool of Liberal Arts and Sciences

26-Jan-2016


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Introduction 2

Learning Outcomes 3

Delivery Method 5

Assessment 6

Academic Policy 8

Scheme of Work 10

INTRODUCTION

The course concentrates on: Polynomial, Rational, Exponential, Logarithmic and Trigonometric Functions, with applications to problems in mathematics and the sciences.

Lecturers’ Detail:

Lecturer Name : Dr. Wong Yau Hsiung Email Address : [email protected] No : 603-5629 5119Office : ADP Office room 10 Consultation Hour : Tuesday and Thursday 11:30am-2pm

CONTENT PAGE NO.


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LEARNING OUTCOMES

At the end of this course, students should be able to:1. State and apply basic definitions, properties and theorems of Pre-Calculus2. Solve higher order polynomial equations, rational inequalities and equations,

systems of inequalities and equation, more complex trigonometric equations, exponential and logarithmic equations

3. Analyze and graph functions, systems of inequalities and conics4. Model and solve problems using properties of exponentials, logarithms, sequences

and series, systems of equations, and the binomial theorem.5. Utilize appropriate technology

PRE-REQUISITE / ASSUMED KNOWLEDGE: (IF ANY)

A minimum grade of C in SPM Additional Maths, its equivalent or a pass in MATHS 110.

CO-REQUISITE : (IF ANY)

None


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TAYLOR’S GRADUATE CAPABILITIES (TGCs)

This module hopes to prepare students with several important soft skills identified by the university known ‘Taylor’s Graduate Capabilities (TGCs)’. There are eight (8) elements listedunder TGCs as follows:

A. KNOWLEDGETGC 1: Discipline Specific Knowledge1.1 Able to put theories into practice.1.2 Understand ethical issues in the context of the field of study.1.3 Understand professional practice within the field of study.

B. COGNITIVE SKILLSTGC 2: Lifelong Learning2.1 Learn independently 2.2 Locate, extract, synthesize and utilize information effectively.2.3 Be intellectually engagedTGC 3: Thinking & Problem Solving skills3.1 Think critically and creatively.3.2 Define and analyze problems to arrive at effective solutions.

C. SOFT SKILLSTGC 4: Communication Skills4.1 Communicate appropriately in various settings and modes.

TGC 5: Interpersonal Skills5.1 Understand team dynamics and work with others in a team.5.2 Understand and assume leadership.

TGC 6: Intrapersonal Skills6.1 Manage one self and be self-reliant. 6.2 Reflect on one’s actions and learning.6.3 Embody Taylor’s core values.

TGC 7: Citizenship and Global Perspectives7.1 Be aware of and form opinions from diverse perspectives.7.2 Understand the value of civic responsibility and community engagement.

TGC8: Digital Literacy 8.1 Effective use of Information and Communications Technology (ICT) and related technologies.

*Specifically, this module is designed to equip students with TGC1, 2 and 3 as above.


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TEACHING AND LEARNING METHODS

√ LECTURES

Lectures are direct communication between students and lecturers in the lecture hall in which the lecturer conveys information to the students. Two-way interaction is minimal as it focuses on the explanation and discussion of the concepts, theories and examples related to the topics.

Class attendance is compulsory. Students are advised to attend lectures because important information related to the module such as syllabus as well as types and method of assessment will be covered during the lecture sessions. Failure to attend lectures may lead to confusion and misunderstanding on the module assessment and topics discussed in the coming classes.

REMINDER: Students who fail to maintain a minimum of 80 percent attendance might bebarred from sitting for the final examination.

√ SELF-INDEPENDENT STUDY

Students are responsible to do exercises, self-studying and search for additional information and references from the library or the internet. Students should not expect they can master the module by attending lectures only. Students also should not fully rely on information and materials provided by the lecturer.

UNIT VALUE OF MODULE3 credit hours

MAIN REFERENCE

Sullivan, Michael. Precalculus. Prentice Hall, 2012, 9th edition

ADDITIONAL REFERENCES

Swokowski/Cole. Precalculus: Functions and Graphs. Thomson. Sullivan, Michael. Algebra & Trigonometry. Prentice Hall, 8th Edition, 2008 or latest Connally, Hughes Hallett, Gleason. A Preparation for Calculus. 3rd ed

DELIVERY METHOD


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ONLINE SUPPORT

Taylor’s Integrated Moodle e-Learning System (TIMeS)

Taylor’s University provides a portal on Learning Management System known as Taylor’s Integrated Moodle e-Learning System (TIMeS). Students can conveniently access to the following module resources through TIMeS Portal.

Module Information Booklet Lecture Slides Tutorial Questions and Quizzes Related documents such as Assignment Cover Form, Assignment Feedback

Form, etc. Important announcement such as exam date, assignments due date, class

postponement, etc. Other module information

Students are advised to visit TIMeS Portal every day to get latest information on the module.

ASSESSMENT

ASSESSMENT SUMMARY

Form of Assessment

Length/Duration

Marks Learning Outcomes

TGCs Achieved

Attendance and class participation

- 10% - -

Continuous Assessment: Quiz, Test and Assignment

1 ½ hours 60% 1,2,3,4,5,6,7

Final Exam 2 hours 30% 1,2,3,4,5,6,7

TOTAL 100%


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ASSESSMENT COMPONENTS

ASSIGNMENT

This task is to be done individually or in group and students are to work collaboratively. Refer to the assignment guideline for details.

QUIZ AND TEST

This is an individual assessment which will be conducted online via TIMeS Portal within certain period of time only.

FINAL EXAMINATION

Final examination is a closed-book examination. It seeks to determine students’ individual effectiveness in responding to specific questions under time-constrained invigilated conditions.

*Students are required to sit/attempt the final examination. Failure to do so would resultin a fail grade (F).

ASSESSMENT DETAILS

If a student is unable to participate in any assessment, notification should be given to the lecturer concerned within 24 hours of the assessment time. By producing proper documentation upon returning, the student can request for an assessment of equivalent level within 3 days.

Students are awarded a final grade which corresponds with the marks obtained.

All students must adhere to the Taylor’s University’s Examinations, Assessment Policies and Procedures manual available at http://portals.taylors.edu.my.


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ACADEMIC POLICIES

AttendanceClass attendance is compulsory. Students are advised to attend lectures because important information related to the module such as syllabus as well as types and method of assessment will be covered during the lecture sessions. Failure to attend lectures may lead to confusion and misunderstanding on the module assessment and topics discussed in the coming classes. Only absences with valid reasons and documented proof will be accepted.

REMINDER: Students who fail to maintain a minimum of 80 percent attendance will be barred from sitting for the final examination.

PlagiarismPlagiarism is the use of someone else's language, ideas, information or original material without acknowledging the source. All students are expected to attend a course on proper usage of referencing. Plagiarism is a serious offence and any individual (who is suspected of plagiarism) would be referred to the Academic Integrity Committee of Taylor's University. Please refer to the Student Handbook for further information.

TardinessPOSITIVE ATTITUDE means, among others, being on time at the designated place. Tardiness reflects bad planning and being rude to the person(s) who has/have been kept waiting. Being late to class without valid reasons will be construed as unexcused absence (although you will be allowed to attend the class).

Class conductNo eating or drinking will be allowed during the lecture. All electronic devices (mobile phones, tablets or laptops) should be turned off during lecture hours, unless permitted for class use by the lecturer. If you have any questions during the lecture, do not hesitate to raise your hand to clear your doubt. Class participation during discussion is encouraged.

AssignmentsAll assignments must be submitted on or before the scheduled date and time. Penalties will be imposed for late submissions.

RepeatStudents are only allowed to repeat a course for a maximum of 3 times over the duration of study, if they fail. Students are advised to retake the course if they obtain any grade below C in the subsequent semester. A student has to obtain 70% or a min C grade in order to Pass the course.


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GRADING

Percentage Grade Points per Credit Hour Definition97% - 100% A+ 4.00

Outstanding90% - 96% A 4.0087% - 89% A- 3.7084% - 86% B+ 3.30

Very Good80% - 83% B 3.0077% - 79% B- 2.70 Good74% - 76% C+ 2.30

Average70% - 73% C 2.0067% - 69% C- 1.70

Below Average64% - 66% D+ 1.3060% - 63% D 1.0055% - 59% D- 0.700% - 54% F 0.00 Fail

N/A W N/A WithdrawN/A I N/A IncompleteN/A P N/A Pass


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SCHEME OF WORK

Course Schedule (the course instructor reserves the right to modify the work schedule as and when deemed necessary)

Week Topic Learning Outcomes

Teaching & Learning Activities

Readings Assessment

Taylor’s Graduate

Capabilities

Week 1,

Unit 1 : Graphs Coordinate Systems Distance Formula Graphs of Equations

straight Lines 1,2,3,4

1. Lecture on basics on graphs 2. Graph technology using patterns.3.Practice exercises and examples..

Chp 1.1Chp 1.1Chp 1.2Chp 1.3

Week 2

CirclesUnit 2 : Functions and Graphs Functions The Graph of Function Properties of Functions

1,2,3,4,5

1. Equation of circle and its derivation . 2. Completing the square method to establish equation of circle3. Questions and answers

Chp 1.4Chp 2.1Chp 2.2Chp 2.3

Quiz 1

Week 3 (holiday)

Week 4

Library of Functions Graphing Techniques Mathematic Models

1,2,3,4,51. Graphing methods and identifying root graphs.2. Demonstrate patterns of shifting graphs3. Practice questions and answers

Chp 2.4Chp 2.5Chp 2.6

Chp 3.3

Week 5, 6

Unit 3 Quadratic Functions Quadratic Functions and

Optimization Building Quadratic Models Inequalities Involving

Quadratic Functions

1,2,3,41.Quadratic functions and shapes of graphs.2.Inequality solutions using quadratic graphs.3. Question and answers.

Chp 3.4Chp 3.5

Chp 4.1Chp 4.2

Test


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Readings Assessment

Taylor’s Graduate

Capabilities‘Week 7

Unit 4 : Polynomial & Rational Functions Polynomial Functions and

Models Properties of Rational

Functions The Graph of a Rational

Function

1,2,3,4 1.Lectures on models of polynomials.

2. Rational functions and their properties shown through examples .

3. Exercises to enforce the properties

Chp 4.3Chp 4.4Chp 4.5

Week 8

Polynomial and Rational Inequalities

The Real Zeros Complex zeros 1,2,3,4,5

1. Students to work out the zeros and tie it with graphs.2. Complex roots of a polynomials. 3. Exercises to obtains all roots.

Chp 4.6

Chp 5.3 Chp 5.4Chp 5.5

Quiz 2

Week 9

Unit 5 : Exponential & Logarithmic Functions Graphs Properties Basic Equations

1,2,3,4,1.explain exponential concepts and its real life uses.2. Illustrate with graphs.3.Exercises, question and answer ..

Chp 5.6Chp 5.7

Week 10 Financial Models – Compound Interest Applications

Exponential Growth and Decay Applications

1,2,3,41.Develop simple financial models. 2.Demonstrate these with examples3.Real life use of exponential functions..

Chp 5.8

Chp 6.1

Quiz 3


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Readings Assessment

Taylor’s Graduate

Capabilities

Week 11

Unit 6 : Trigonometric Functions Angles and Their Measure Unit Circle Approach 1,2,3,4

1. Explain concept of radian and degree.2. Work out examples on circular measure3.Demonstrate concept using unit circle.4.Sketch and show patterns of trigonometric functions.

Chp 6.2Chp 6.3

Week 12 Properties of trigonometric

graphs Revision

1,2,3 1.Explain the properties of graphs2, Exercises.

Chp 6.4 –Chp 6.6

Week 13 Unit 7 : Inverse Trigonometric Functions Inverse Trigonometric

Functions

Trigonometric Equations & Identities

1,2,3,4

1.Lecture on inverse concepts.2.Demonstrate concepts with definitions.3.Questions and answers.

Chp 7.1 Chp 7.2Chp 7.3 Chp 7.4

Test 2

Week 14 Sum and Difference Formulae1,2,3,4

1.Introduce the sum and difference formulae.2. Discuss the concept with examples.3, Exercises to reinforce these formulae.

Chp 7.5


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Readings Assessment

Taylor’s Graduate

Capabilities

Week 14

The laws of Sines and Cosines

1,2,3,4

1.Demonstrate the laws with examples

Chp 8.2 Chp 8.3

Week 15 Exam Week 1,2,,3,4 All chapters

Final Exam


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MATH 150 Module Information Booklet

Education

Transcript of MATH 150 Module Information Booklet