Math 425: Introduction to Probability

First day handout

Instructor: Alexander Gorodnik
Office: 3826 East Hall
Phone: 763-1184
E-mail: gorodnik@umich.edu

Office Hours: MF 11:00-12:00 (in East Hall 3826), W 11:00-12:00 (in East Hall B860), and by appointment

Course: This course introduces students to the theory of probability and its applications to a variety of fields including biology, economics, computer science, and engineering. We cover most of Ch 1 - Ch.8 of the book A First Course in Probability (6th edition) by Sheldon Ross. Students should be familiar with the integral calculus of functions of one and several variables (Math 116 and Math 215 or equivalent).

Grading: There will be two one-hour exams and a comprehensive final exam. The exams are closed book/notebook. You will be allowed to use one 3-by-5 index card. Homework assignments will be collected weekly.
2 Midterms - 20% (each), Homework - 20%, Final - 40%.

Exam 1 Review

Exam 2 Review

Final Exam Review

Important Dates

Exam 1: Friday, February 6, 10-11am
Exam 2: Monday, March 15, 10-11am
Final Exam:Tuesday, April 27, 4-6pm

Homework

Homework 1 Ch.1, #4,9,15,20,22,28,31 Due: Wed, Jan 14
Homework 2 Ch.2, #5,7,11,13,15(b) Due: Wed, Jan 21
Homework 3 Ch.2, #30,37,43,54; Ch. 3, #13,16 Due: Wed, Jan 28
Homework 4 Ch.3, #21,47,59(c,d),62(a),65,66 Due: Wed, Feb 4
Homework 5 Ch.4, #4,12,13,14,20,23 Due: Fr, Feb 13
Homework 6 Ch.4, #26,35,41,43,47,48 Due: Fr, Feb 20
Homework 7 Ch.4, #55,60,63,64,69,73 Due: Wed, March 3
Homework 8 Ch.5, #4,12,13,16,20,26 Due: Wed, March 10
Homework 9 Ch.5, #31,34,36,39,41 Due: Wed, March 17
Homework 10 Ch.6, #6,10,14,20,24,27 Due: Wed, March 24
Homework 11 Ch.6, #34,39,42,44,46,48 Due: Wed, March 31
Homework 12 Ch.6, #54; Ch.7 #12,14,17,21,24 Due: Wed, April 7
Homework 13 Ch.7, #36,42,46,50,56,59 Due: Wed, April 14
Homework 14 Ch.7, #64,73; Ch.8, 2,3,13,14 Not collected

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