MATH 351, Fall 2004

With each topic covered, there is a list of associated homework problems. The homework assigned on each lecture is due at the beginning of the following class.

Day
 Date
 Topic
 Chapter
 Problems
 Theor. Ex.
Tu
 08/31
 Combinatorics: Counting
 1
 7,9,10,16,18
 5,8,9,11
Th
 09/02
 More Combinatorics
 1
 22,23,24,27,30
 13,14
Tu
 09/07
 Elementary Probability
 2
 15,17,23,36,37
 19
Th
 09/09
 Axiomatics of Probability
 2
 1,3,8,10,25
 4,5,6,11
Tu
 09/14
 Conditional Probability and Bayes
 3
 7,8,10,14,16
 1,5
Th
 09/16
 More Bayes. Independence.
 3
 43,44,47,53,62
 6,8,16
Tu
 09/21
 TEST 1


Th
 09/23
 Discrete Random Variables
 4
 1,4,7,21,23
 3,8
Tu
 09/28
 The Binomial Model
 4
 30,33,40,45,48
 10,11
Th
 09/30
 Other Discrete Random Variables
 4
 28,54,57,66,73
 18,26
Th
 10/07
 Random Variables in General
 5
 1,3,4,7,13
 2,7
Tu
 10/12
 Normal and Exponential Distributions
 5
 15,16,25,27,33
 10,14
Th
 10/14
 Other Continuous Distributions
 5
 37,38,39,40,41
 20
Tu
 10/19
 TEST 2


Th
 10/21
 Joint Distributions, Sums
 6
 6,20,23,27,28
 9
Tu
 10/26
 Conditional Distributions
 6
 39,40,42,43,44
 17,18,19
Th
 10/28
 Functions of Random Variables
 6
 49,52,53,55,58
 33
Tu
 11/02
 Conditional Expectation
 7
 48,49,50,51,53
 25,26,27
Th
 11/04
 Moment Generating Functions
 7
 75,76,77
 48,49,50
Tu
 11/09
 TEST 3


Th
 11/11
 Weak Law of Large Numbers
 8
 1
 2,3,4,5
Tu
 11/16
 Central Limit Theorem
 8
 4,5,7,11,15
 7,8
Th
 11/18
 Strong Law of Large Numbers
 8
 22
 10,11
Tu
 11/23
 Poisson Process
 9
1,2,3
Tu
 11/30
 Markov Chains
 9
4,6,7,8,9
Th
 12/02
 TEST 4


Tu
 12/07
 Simulation: General Techniques
 10
 2,3,7,8,11
Th
 12/09
 Simulation: Variance Reduction
 10
 14,16
We
 12/15
 FINAL EXAM (8:30-11:30 am)



MATH 112, Calculus I, Fall 2004

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