Math 5010-001, University of Utah, Summer 2010

Assignments

**Week 9**(no due date)**Final exam preparation:**The final exam will be closed notes and closed book. Please be prepared in advance!**Problems**: Instead of 25 problems, you need to look only at the following 15 problems. [The exam will still have 5.] However, be aware that there is a little bit of reading involved too. So please start soon.

Exercises (p. 136) # 27.1, 27.2, 27.3; Exercises (p. 146) #29.1, 29.3; Exercises (p. 151) #30.1, 30.4; Exercise (p. 171) #33.2; Exercises (p.192) #36.3, 36.4; Exercises (p. 197) #37.3, 37.4; Exercises (p. 203) #38.1, 38.2, 38.3.**Topics covered**: All lectures but Lectures 34 and 35. Next Thursday (July 26th), we will wrap up the theory of expectation by way of developing moment generating functions and use that to prove the central limit theorem [as well as the law of large numbers].**Topics not covered**: Those who go on to take more probability, stochastic processes, and theoretical statistics, will do well to have a look at Lectures 34 and 35 on conditional expectations. This is a very important topic, but we will not have the time to cover it.**Good luck!**

**Week 8**(due 7/26)**Reading**: Lectures 22-26 (inclusive) of your text**Problems**: Exercise (p. 115) 23.1; Exercise (p. 121) 24.1-24.4; Exercise (p. 126) 25.2, 25.5, 25.10.

**Week 7**(due 7/12)**Midterm preparation:**Material of lectures 13-21(inclusive)- This is great deal of material. Please prepare in advance. I will post the next assignment after the midterm.

**Week 6**(due 7/5)**Reading**: Lectures 17-21 of your text**Problems**: Exercise (p. 88) 17.1 (Hint: Use the normal approximation of the lecture); Exercises (p. 96) 19.2, 19.5; Exercises (p. 106) 12.1, 12.2, 12.3, 12.4.

**Week 5**(due 6/28)**Midterm preparation:**Material of lectures 8-12 (inclusive)**Reading**: (After the midterm) Lectures 13-16 of your text**Problems**: Exercises (p. 75-76) 14.1-14.4.

**Week 4**(due 6/19)**Reading**: Lectures 10-12 of your text**Problems**: Exercises (p. 59) 11.1-11.5; Exercises (p. 66) 12.1-12.2.

**Week 3**(due 6/12)- Go over the midterm; be sure that you address remaining issues and that you are comfortable with the topics of that midterm.
**Reading:**Lectures 8 and 9 of your text**Problems**: Exercises (pp. 43-44) 8.1, 8.4, 8.8, 8.10, 8.11; Exercises (p. 48) 9.1, 9.4, 9.6.

**Week 2**(due 5/29)**Midterm preparation**: Material of Lectures 1-6 of your text.**Reading**: Lectures 5-6 of your text**Problems**: Exercises 5.1-5.4 (p. 25); attempt Exercise 5.5(a) (p. 25); Exercises 6.2, 6.3, 6.4, and 6.6 (p. 31).

**Week 1**(due 5/22)**Reading**: Lectures 1-4 of your text**Problems**: Exercise 1.3(a)-1.3(g) (p. 4); Exercise 2.2 (p.7); Exercises 3.1 and 3.3 (p. 14); ; Exercises 4.2, 4.3, 4.6 (p. 20)

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