Math 4810-001 Probability

Summer 2016

Instructor: Dr. James Schatzman Class location: NC1325 Course days/times: T/Th 4:00-6:30 p.m.

Class website: Canvas 3 Credit Hrs

Phone: 303 873-9969 (hm) 303 577-2616 (office)

Office Hours/Loc: TBA NOTE: I am generally available before and after class in our classroom.

E-mail: James.Schatzman@ucdenver.edu or James.Schatzman@coyec.org

Welcome! I am happy that we will be learning together this term.

Catalog Description: Examines elementary theory of probability, including independence, condi-

tional probability, and Bayes' theorem; random variables, expectations and probability distributions;

joint and conditional distributions; functions of random variables; limit theorems, including the cen-

tral limit theorem. Note: No co-credit with MATH 3800.

Prerequisites: Math 2421 (Calc. III)

Required Textbook: Fundamentals of Probability with Stochastic Processes (3rd edition) by Saeed

Ghahramani (note: there are two different publishers, either is fine). Other recommended references are:

Understanding Probability, 3rd Ed, Henk Tijms, Cambridge University Press, 110765856X, 2012. Probability Theory: The Logic of Science, E.T. Jaynes, Cambridge University Press, 2003. MIT 6.041SC Probabilistic Systems Analysis and Applied Probability course , which is available from MIT

OpenCourseWare free of charge: http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-041sc-probabilistic-systems-analysis-and-applied-probability-fall-2013/

khanacademy.org. Please sign up with coach/class code RVJGTA.

Course Topics

Axioms of probability, combinatorial theory, conditional probability, random variables (discrete, continuous, and multivariate), expected value (mean, moments, variance, covariance, etc.), and some limit theorems (law of large

numbers, Central Limit Theorem). Students will learn probability theory, computation, and applications to real-world problems.

How This Class Works (IMPORTANT! READ!)

Most class periods will consist of some lecture, but also time will be spent in small groups and in classroom discussions. Take the small group work seriously because it will be graded. The typical sequence is (1) discussion of any questions from the class pertaining to the lesson for the day; (2) quiz; (3) discussion; (4) group work; (5) more discussion; (6) lecture; (7) more discussion. We may also spend some time in one of the computer labs.

Some online work (Webwork and Khan Academy) will be assigned. You do this on your own, but do ask questions about it in class or send me an email. This is mainly review and practice.

You are expected to check Canvas for important notices every day throughout the term.

How Your Grade is Determined: At any time, view your individual and total scores on Canvas.

20% Homework No late work accepted unless specifically cleared with the instructor in advance. 20% Daily quizzes at the start of class. Makeups only for emergencies. Quizzes usually cover topics discussed

in class on the previous 2 class days. 20% Groupwork. No makeups. 40% There will be two midterm exams (10% each) and a final exam (20%). Extra credit: Optional exercises will be assigned from time to time as needed for extra credit. Also, especially

good work on assignments may be assigned extra credit at my discretion.

Grading:

Final grades will be assigned using the following scale: 90-100 A, 80-90 B, 70-80 C, 60-70 D, less than 60 F. ALSO: +/- will be assigned within each range.

Course Policies:

Late Policy: No late homework will generally be accepted.

Absences: Please notify me about planned and unplanned absences. If you are working with a group on an assignment, you must make arrangements with your group to meet your obligations to the group, including completing work and bringing work to class.

Incompletes: Incomplete grades (IW or IF) are NOT granted for low academic performance. To be eligible for an incomplete grade, students MUST 1) Successfully complete a minimum of 75% of the course; 2) Have special circumstances beyond their control that preclude them from completing graded assignments; and 3) Make arrangements to complete the course with me.

Canvas: Use Canvas to turn in assignments and to check your progress.

Cell Phones: PLEASE turn off cell phones during class. Cell phones and other electronic devices must be inaccessible during exams.

Technology devices: Smart phones and computers are not allowed on quizzes and exams. They must be inaccessible during assessments. As announced in class, calculators will be allowed on some assignments and assessments. "Calculators" does not include smart phones and calculator apps.

Civility: My commitment is to create a climate for learning characterized by respect for each other and the contributions each person makes to class. I ask that you make a similar commitment.

Campus Assessment, Response & Evaluation (CARE): The Campus Assessment, Response & Evaluation (CARE) Team was created at the University of Colorado Denver and Anschutz Medical Campuses to address the health and safety needs of students as well as the campus community. The purpose of the team is to assess whether individuals pose a risk to themselves or others and to intervene when necessary and, more generally, to identify and provide assistance to those in need.

Professionalism: Offer specifics about your policy on professionalism, Examples: Mobile devices must be silenced during all classroom and lab meetings. Those not heeding this rule will be asked to leave the classroom/lab immediately so as to not disrupt the learning environment.

Electronic Cigarettes (e-cigarettes): The use of e-cigarettes is distracting in the classroom environment not only to the instructor but to other students. The use of e-cigarettes during all classroom activity is prohibited. Any student who does not comply with this rule will be asked to leave the classroom immediately so as to not disrupt the learning environment. Pursuant to the Auraria Campus Smoking Policy, the use of e-cigarettes indoors and within twenty-five (25) feet of any entrance is strictly prohibited. http://www.ucdenver.

University Policies:

Disability Access: The University of Colorado Denver is committed to providing reasonable accommodation and access to programs and services to persons with disabilities. Students with disabilities who want academic accommodations must register with Disability Resources and Services (DRS) in Academic Building 1, #2116, Phone: 303-315-3510 , Fax: 303-315-3515. I will be happy to provide approved accommodations, once you provide me with a copy of DRS’s letter.

CLAS Academic Dishonesty Policy: Students are required to know, understand, and comply with the CU Denver Academic Dishonesty Policy as detailed in the Catalog and on the CLAS website. Academic

dishonesty consists of plagiarism, cheating, fabrication and falsification, multiple submission of the same work, misuse of academic materials, and complicity in academic dishonesty. If you are not familiar with the definitions of these offenses, go to

www.ucdenver.edu/academics/colleges/CLAS/faculty-staff/policies/Pages/DefinitionofAcademicDishonesty.aspx This course assumes your knowledge of these policies and definitions. Failure to adhere to them can result in penalties ranging from failure of the assignment (or the course) to dismissal from the University; so, be informed and be careful. If this is unclear to you, ask me. University wide policies that are relevant to this course: • Student Code of Conduct http://www.ucdenver.edu/life/services/standards/students/pages/default.aspx • Accommodations http://www.ucdenver.edu/student-services/resources/disability-resources- services/accommodations/Pages/accommodations.aspx • Academic Freedom http://www.ucdenver.edu/policy/pages/academic-Freedom.aspx

Summer 2016 CLAS Academic Policies

The following policies, procedures, and deadlines pertain to all students taking classes in the College of Liberal Arts and Sciences (CLAS).

They are aligned with the Official University Academic Calendar:

http://www.ucdenver.edu/student-services/resources/Registrar-dev/CourseListings/Pages/AcademicCalendar.aspx

Schedule verification: It is each student’s responsibility to verify that their official registration and schedule of classes is correct in

their CU Denver PassportID portal before classes begin and by the university census date. Failure to verify schedule accuracy is not

sufficient reason to justify late adds or withdrawals. Access to a course through Canvas is not evidence of official enrollment.

E-mail: Students must activate and regularly check their official CU Denver e-mail account for university related messages.

Administrative Drops: Students may be administratively dropped from a class if they never attended or stopped attending, if the

course syllabus indicates that the instructor will do this. Students may be administratively dropped if they do not meet the

requisites for the course as detailed in course descriptions.

Late adds and late withdrawals require a written petition, verifiable documentation, and dean’s approval. CLAS undergraduate

students should visit the CLAS Advising Office (NC1030) and graduate students should visit the Graduate School (12th floor LSC) to

learn more about the petition process and what they need to do to qualify for dean’s approval. No Late Withdrawal petitions will be

accepted once finals week begins July 26-30, 2016. Students will be referred to CLAS Academic Standards Committee retroactive

petition process.

Waitlists: The Office of the Registrar notifies students at their CU Denver e-mail account if they are added to a class from a waitlist.

Students are not automatically dropped from a class if they never attended, stopped attending, or do not make tuition payments.

After waitlists are purged, students must follow late add procedures to be enrolled in a course. Students will have access to Canvas

when they are on a waitlist, but this does not mean that a student is enrolled or guaranteed a seat in the course. Students must

obtain instructor permission to override a waitlist and this is only possible when there is physical space available in a classroom,

according to fire code.

Important Dates and Deadlines

June 6, 2016: First day of Summer semester classes.

June 10, 2016: Last day to drop a class without a $100 drop charge--this includes section changes. Courses dropped at this time will not appear on transcript.

June 12, 2016: Last day to add or waitlist a class using the CU Denver PassportID portal.

June 13, 2016: All waitlists will be eliminated today. Please check your schedule to ensure you are enrolled in all intended classes. To add a course students must obtain instructor permission using the Instructor Permission to Enroll Form and bring it to the CLAS Advising Office (NC 1030) or have their instructor e-mail it to clasinstructorpermission@ucdenver.edu .

June 14, 2016: Census date.

6/14/16, 5 PM: Last day to add full term classes with Instructor Permission to Enroll Form and bring it to the CLAS Advising

Office (NC 1030) or have their instructor e-mail it to clasinstructorpermission@ucdenver.edu; after today a written petition,

verifiable documentation are required, and dean’s approval. Contact CLAS Advising for petition. (NC 1030 – 303-556-2555).

o 6/14/16, 5PM: After this date, you will be charged the full tuition amount for additional classes added – College Opportunity

Fund hours will not be deducted from eligible student’s lifetime hours.

o 6/14/16, 5 PM: Last day to drop full term classes with a financial adjustment. After this date withdrawal from classes require

instructor signature approval and course(s) will appear on your transcript with a grade of ‘W’ and no tuition adjustment will be

made. After this date, a complete withdrawal (dropping all classes) from the term will require the signature of the dean.

Contact CLAS Advising (NC 1030 – 303-556-2555).

o 6/14/16, 5 PM: Last day to apply for summer 2015 graduation. Undergraduates must make an appointment and see their academic advisor before this date to apply for graduation. Graduate students must complete the Intent to Graduate and Candidate for Degree forms.

o 6/14/16, 5 PM: Last day to request No Credit or Pass/Fail grade for a class.

o 6/14/16, 5 PM: Last day to petition for a reduction in Ph.D. dissertation hours.

July 1, 2016, 5 PM: Last day to withdraw from a summer semester course or all courses with instructor signature(s) on schedule adjustment form.

July 4, 2016: Independence Day observed--no classes, campus closed. July 5, 2016 5 PM: First day the Office of the Registrar requires a dean’s signature on a Schedule Adjustment Form to withdraw

from a class.

July 11, 2016, 5 PM: Deadline for undergraduate CLAS students to withdraw from a course without filing a late withdrawal petition. Contact CLAS Advising (NC 1030 – 303-556-2555). After this date, late withdrawals require petition, verifiable documentation, and dean’s approval. Contact CLAS Advising (NC 1030 – 303-556-2555). No Late Withdrawal petitions will be accepted once finals week begins.

July 30, 2016: End of semester.

August 8, 2016: Final grades available on CU Denver PassportID portal and transcripts (tentative)