[However, if necessary, you can use the 6-th edition (2002) as
a textbook.The text differences are minor,
and the homework
problem sets below list problem numbers for both editions.]
[Text differences: In the first 8 chapters all section numbers of
the two editions are the
same,
except the 6-th ed. is missing section 7.3, so that
section 7.x in 7-th edition corresponds to section 7.(x-1) in
6-th edition, for x between 4 and 8.]
Section 5: MWF 1:00pm-- 2:00pm in 1372 East Hall;
Instructor: Jeffrey Lagarias, 3086 East Hall, 763-1186, lagarias@umich.edu
Office hours: (current-subject to change) Wed 2:10-3:00pm, Thurs 10:10-11:00am, Fri. 2:10-3:00pm
Grader: Siew Gee
email: siewgee@umich.edu
Course homepage: http://www.math.lsa.umich.edu/~lagarias/m425fa08.html
Syllabus:[May be revised]
Prerequisite: Math 215 or 285 (multivariable calculus)
From departmental course description:
This course is an introduction 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 may include part of Chapter 8 of Ross.
Grading:
There will be graded homeworks (20%), two 1-hour midterm exams (25% each)
and
a comprehensive final exam (30%).
The 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 total score of 90%(resp. 80%, 70%, 60%)
will
be guaranteed the final grade of A ,
(resp. B or higher, C or higher,
D or higher).
Homework:
There will be approximately 10 problem sets.
No late homework will be accepted.
Your lowest homework score will be dropped.
In each homework set, 5 problems will be graded.
All answers should be justified by a sound
argument. Answers lacking justification will receive no credit.
Collaboration on homework is fine, but each person must write up his/her own solutions.
You will be allowed to bring a 3-by-5 index card to the first
midterm, 2 such cards to the second midterm,
and 3 such cards to the final exam.
One problem from each exam will be taken directly from the
homework (possibly with altered numerical values).
Downloadable examples of Math 425 exams
can be found on
Dan Burn's webpage.
The midterm exams are held in class.
No Makeup Exams will
be given.
Exam #1 covers Chapters 1--3.
(In class, Friday Oct. 3)-->
Solutions to Quiz #1 (09/10/08)
Problem #1
Problem #2
Solutions to Quiz #2 (09/17/08)
Problem
#1 Problem #2
Solutions to Quiz #3 (09/24/08)
Problem
#1 Problem #2
Solutions to Quiz #4 (10/13/08)
Problem #1
Problem #2
Solutions to Quiz #5 (10/25/08)
Problem #1
Problem #2
Solutions to Quiz #6 (11/03/08)
Problem
#1 Problem #2
Solutions to Quiz #7 (11/19/08)
Problem
#1 Problem #2
Solutions to Quiz #8 (12/01/08)
Problem #1
Problem #2