Fall 2016, Sections 5 and 9
Course meets:
Section 5: Monday, Wednesday, and Friday 1:10-2:00 in 1084 East Hall.
Section 9: Monday, Wednesday, and Friday 12:10-1:00 in 1084 East Hall.
Instructor: Sergey Fomin, 4868 East Hall, fomin@umich.edu
Office hours: Monday 2:10-3:00 and Wednesday 2:10-4:00 in 4868 East Hall.
Grader: Rouzhi Shang, srouzhi@umich.edu
Course homepage: http://www.math.lsa.umich.edu/~fomin/425f16.html
Text (required): Sheldon Ross, A First Course in Probability, 9th edition, Prentice-Hall, 2014.
Where can I buy this textbook? (compare to publisher's online store; also check out international editions)
Prerequisites: Math 215 or 285 (Multi-variable calculus).
Course synopsis:
This course introduces students to the theory of probability and to a
number of applications.
Topics include the basic results and methods of both discrete and continuous
probability theory: conditional probability,
independent events, random variables, jointly
distributed random variables, expectations,
variances, covariances.
The material corresponds to
most of Chapters 1-7 and part of 8 of Ross.
LSA Academic Integrity Standards
Grade will be based on homework (20%) and three exams (80%), see below. This course will not be graded on a curve, i.e., there are not a set number of each grade to be given out. Every student with the total score of 90% (resp., 80%, 70%, 60%) is guaranteed the final grade of A (resp., B or higher, C or higher, D or higher).
Exams
Exams are closed book, closed notebook. No electronic devices are allowed except calculators. You are allowed to bring a 3-by-5 index card to the 1st exam, two such cards to the 2nd exam, and three cards to the 3rd one.
Past exams can be found on Math 425 pages by Dan Burns and Hugh Montgomery.
Exam #1 covers Chapters 1-3. Practice problems for Exam #1 and answers to them.
Exam #2 covers Chapters 4-5, with the exception of
Sections 4.8.3-4.8.4, 5.5.1, 5.6.
Practice problems for Exam #2: Self-Test Problems and
Exercises
in Chapter 4: 3, 13, 15; and in Chapter 5: 11, 12.
Exam #3 covers Sections 6.1-6.5, 6.7, 7.1-7.2 (except 7.2.1-7.2.2),
7.4, 7.5.1, and 8.1-8.3.
Practice problems for Exam #3: Self-Test Problems and
Exercises
in Chapter 6: 7, 15; Chapter 7: 13; and in Chapter 8: 10.
Homework
HW#1, due 9/14 9/16:
Chapter 1, problems 3, 8(c), 12(a), 15, 22, 24, 26, 28, 30.
HW#2, due 9/21:
Chapter 2, 12(a), 17, 21(b), 29(a), 32, 42, 43(b), 45, 47.
HW#3, due 9/28:
Chapter 3, 4, 13, 16, 18(a), 26, 36, 47, 53.
HW#4, due 10/05:
Chapter 3, 39, 48, 56, 62, 63(c), 66, 70, 71.
HW#5, due 10/19:
Chapter 4, 4, 14, 22(b), 32, 38, 41, 43, 48.
HW#6, due 10/26:
Chapter 4, 54, 64(b), 65(b); Chapter 5, 1, 5, 7, 11,
13(b).
HW#7, due 11/2:
Chapter 5, 18, 19, 21, 24, 27, 32, 33.
HW#8, due 11/16:
Chapter 6, 6, 8, 14, 27, 29(a), 30(a), 31(a).
HW#9, due 11/30:
Chapter 6, 41(a), 58;
Chapter 7, 9(a), 12, 19(a), 34(a).
HW#10, due 12/7:
Chapter 7, 34(b), 39, 42
(1^{st} part), 51;
Chapter 8, 7, 13(a), 15.