BIOS 660 refresher and QE preparation 

Textbook: Casella & Berger, 2nd edition, required.

Recommended math books:
Calculus: Tom M. Apostol, Calculus, Vol I, or similar books.
Analysis: Stephen Abbott, Understanding Analysis (2nd ed.), or similar books.

Reading is preferably done before the week starts. 
i.e. Read chapter i before week i, i=1,2,...

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Week 1 (May 15/17/19):

Reading: Chapter 1 (of C&B).

Suggested problems: All chapter 1 problems except 9-12, 28, 35, 45, 48.

Homework #1:  Chapter 1 problems:
31-34, 36, 38, 41, 42, 46, 47, 50-54
(There is an obvious typo in 1.42(d), the "=" after P2 should be "+")

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Week 2 (May 22/24/26):

Reading: Sections 2.1-2.3

Homework #2:  Chapter 2 problems: 1-34

Problems 1 and 2 from the 2009-2015 MS exams.

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Week 3 (May 31, June 2):

Reading: Sections 3.1-3.5

* Inequalities (sections 3.6 and 4.7): 
The most important ones are: Markov, Chebychev, Cauchy-Schwartz, Jensen.
The proofs of these inequalities are not important. What is important is to 
learn what they say and where/when/how to apply them. 
Focus on the examples.

Homework #3:  Chapter 3 problems: 1-46

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Week 4 (June 5/7/9):

Reading: Sections 4.1-4.6

* Inequalities: See Week 3.

Homework #4:  Chapter 4 problems.

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Week 5 (June 12/14/16):

Reading: 5.1, 5.4, 5.5, 5.2, 5.3 [note the order]
(section 5.3 is right on the border between BIOS 660 and BIOS 661).

Homework #5:  Chapter 5 problems.

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FINAL EXAM: See separate file.