2016 Fall Course Syllabus - Mathematics 8031.001
Course: Mathematics 8031.001.
Course Title: Probability.
Time: TR 12:30 13:50.
Place: Wachman 617.
Instructor: Wei-Shih Yang.
Instructor Office: Wachman 534.
Instructor Email: ws.yang@temple.edu
Instructor Phone: 215-204-1658.
Course Web Page: http://www.math.temple.edu/~yang
Office Hours: TR 13:50-15:20.
Prerequisites: graduate level real analysis or permission by the instructor.
Textbook: K. L. Chung "A First Course in Probability" and Richard Durrett "Probability: Theory and Examples" 4th ed.
Course Goals: This course focuses on the rigorous foundation of graduate level probability theory.
Topics Covered: Probability measures, mathematical expectations, various convergence concepts, convergence theorems, the Law of Large Numbers, characteristic functions, the Central Limit Theorem, random walks and Markov chains.
Course Grading: Course Grading: Homework 40%, Midterm Exam 25%, Final Exam 35%.
Exam Dates: To be announced.
Attendance Policy: Attendance is required.
Any student who has a need for accommodation based on the impact of a disability should contact me privately to discuss the specific situation as soon as possible. Contact Disability Resources and Services at (215) 204-1280, 100 Ritter Annex, to coordinate reasonable accommodations for students with documented disabilities.
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Students will be charged for a course unless dropped by the Drop/Add deadline date. Check the University calendar for exact dates.
During the first two weeks of the fall or spring semester, students may withdraw from a course with no record of the class appearing on the transcript. In weeks three through nine of the fall or spring semester, or during weeks three and four of summer sessions, the student may withdraw with the advisor's permission. The course will be recorded on the transcript with the instructor's notation of "W," indicating that the student withdrew. After week nine of the fall or spring semester, or week four of summer sessions, students may not withdraw from courses. No student may withdraw from more than five courses during the duration of his/her studies to earn a bachelor's degree. A student may not withdraw from the same course more than once. Students who miss the final exam and do not make alternative arrangements before the grades are turned in will be graded F.
The grade I (an "incomplete") is reserved for extreme circumstances. It is necessary to have completed almost all of the course with a passing average and to file an incomplete contract specifying what is left for you to do. To be eligible for an I grade you need a good reason and you should have missed not more than 25% of the first nine weeks of classes. If approved by the Mathematics Department chair and the CST Dean's office, the incomplete contract must include a default grade that will be used in case the I grade is not resolved within 12 months.