Final Thurs April 27 will cover all material except input-output and linear programing. All problems from past finals and practice exams except the following.
Fall 02,#18,Spring 04 #18, Spring 05 #18,19 and from the practice exams P1 #16,17, P2 #16,17,20, P3 # 17,18 P4 #17

Test Tues April 11 Will cover previous material particularly the last exam material plus core problems from Chapter 2 [L] (Linear Equations and matrices) and Chap 2 [P] 2.4-2,3,11,12, Also find limiting distributions.
Fall 02 exam #15,16,17 Spring 04 exam #15,16,17,18 Spring 05 exam #12-18, Also from the practice finals, P1 #14,15,18, P2 #15,17,18,19, P3 #14,15,16, P4 #15,16

Test Thurs. Feb. 24 will cover core problems from [P] Chapters 1,2 and 3.1 ([P] menas Probability and Statistics)
and the following querstions from practice finals. P1 #1,3,4, P2 #1,3,4,5, P3 #1,3,4,12 P4 #1,3,4,5, Fall 02 #7-10 Spring 04 #6-11.
Also there will be one or two questions on past material.

Test Thurs Feb 3 will cover core problems from [C] Chapter 12 and 13.1. ([C] means Thomas Calculs)
In section 12.7 do problems 27,31,33 (Just find the tangent plane. You do not have to find the normal line.)
and the following questions from the pratice finals. P1 means Practice final #1, P2 ... #2 etc.
P1 #8-13, P2 #9-14, P3 #9,10,11,13, P4 #9-14. Problems 1-6 from Fall 02 final. Problems 1-5 from Spring 04 final. *****

Test Thurs. March 23 will cover core problems from [P] Chapters 3,4 and 5. Also material from previous exams plus material assigned but not covered on past exam (e.g. multinomial coefficients and least squares fit).
and Fall 2002, #11,12,13,14,19 and Spring 2004, #12,13,14,17,19 and Spring 2005, #6-12,16,17 from the practice finals. P1 #5,6,7, P2 #2,6,7,8, P3 #2,5,6,7,8, P4 #2,3,6,7,8.
Also the following problems on Bivariate Distributions.

1. Suppose the joint p.d.f. of a pair of random variables on the rectangle 0 < x < 2, 0 < y < 1 is given by f(x,y) = 1/2. Compute Prob(X > Y).

2. Suppose the joint p.d.f. of a pair of random variables on the rectangle 0 < x < 2, 0 < y < 1 is given by f(x,y) = xy. Compute Prob(X > Y)

3. Suppose the joint p.d.f. of a pair of random variables on the first quadrant 0 < x, 0 < y is given by f(x,y) = 6exp(-(2x+3y)) (exp(x) = e^x). Assume a > 0.
Compute Prob(X > a), Prob(Y > a), Prob(min(X,Y) > a), Prob(X > Y)

4. Suppose the joint p.d.f of n-random variables x(k), k = 1,...,n on the region 0 < x(k) < 2 for k = 1,...,n is f(x) = 1/(2^n). Let Y = x(1) + x(2) + .... + x(n)
Compute E(Y) and E(Y^2).
Hint. For independent random variables we have the means and variances add.

Please don't look at answers till you have done them.
Ans. #1 3/4, #2 7/8, #3 exp(-2a), exp(-3a), exp(-5a), 3/5,
#4 E(Y) = n E(Y^2) - E(Y)^2 = variance = n/3 so E(Y^2) = n*n + n/3

Test Thurs. Feb. 23 will cover core problems from [P] Chapters 1,2 and 3.1 ([P] menas Probability and Statistics)
and the following querstions from practice finals. P1 #1,3,4, P2 #1,3,4,5, P3 #1,3,4,12 P4 #1,3,4,5, Fall 02 #7-10 Spring 04 #6-11. Spring 05 #6,7,8,11
Also there will be one or two questions on past material.

Test Thurs Feb 2 will cover core problems from [C] Chapter 12 and 13.1. ([C] means Thomas Calculs)
In section 12.7 do problems 27,31,33 (Just find the tangent plane. You do not have to find the normal line.)
and the following questions from the pratice finals. P1 means Practice final #1, P2 ... #2 etc.
P1 #8-13, P2 #9-14, P3 #9,10,11,13, P4 #9-14.
Problems 1-6 from Fall 02 final.
Problems 1-5 from Spring 04 final.
Problems 1-5 from Spring 05 final.