| Class dates | Topics | Chapter/ Sections | Recommended for practice | Required problems | Due date |
|---|---|---|---|---|---|
| Feb. 8-15 | Recurrences Induction |
Class notes | Extra credit
Median problem | Set 1 | T 2/17 |
| Feb. 16-22 | Binomial theorem Difference calculus | Class notes
Calculus pp. 1-7, 18 | Calculus 1.6-11, 21
Extra credit | Set 2 | T 2/23 |
| Feb. 22-26 | Stirling numbers Higher differences | Class notes
Documents Calculus pp. 33-34, 38-39 | In-class problems
Special numbers Difference tables Calculus 2.3, 2.5, 2.8, 2.31 | Set 3 | F 2/26 |
| Mar. 2-8 | Sum calculus | Class notes
General sigma notation Calculus pp. 79-84 | 3.9, 3.12, 3.14a, 3.17, 3.18 | Set 4 (edited) | M 3/8 |
| Mar. 8-15 | First-order linear recurrences
Summation by parts Asymptotics | Class notes
Documents | Calculus (Assume h=1.)
3.13, 3.16, 3.19, 3.77, 3.83; 4.78, 4.79
Asymptotics exercises Exercises in asymptotics | Set 5 | M 3/15 |
| March 16 | Summation & asymptotics | Exam 2 | |||
| Mar. 18 | Sets, logic, and counting | Probability ch. 1
Class notes | Probability problems 1.9, 1.10, 1.28, 1.29, 1.33, 1.34, 1.36; 1.23, 1.61, 1.63 | ||
| Mar. 19 | How to count | Documents
Probability ch. 2 | Probability 1.9, 1.10, 2.8, 2.14, 2.17, 2.21, 2.25, 2.26, 2.33 | Problem Set 6 | T 3/23 |
| Mar. 22-26 | How to count | Problem Set 7 | R 4/8 | ||
| Apr. 6-9 | Intro to probability | Probability sects. 3.1-3.4
Problem 3.64: Inclusion-exclusion formula | Probability 3.1, 3.2, 3.6, 3.7, 3.12, 3.14, 3.19, 3.23 ("odds"), 3.24, 3.32, 3.35 ("relative frequency"); 3.41, 3.44, 3.45, 3.47. | ||
| Apr. 12-16 | Probability and conditional probability | Probability ch. 4 | TBA
Extra credit | Problem Set 8
Table | T 4/20 |
| Apr. 16-27 | Random variables
Distributions Expectation & variance | Probability sects. 5.1-5.9, 5.11 | Probability problems 5.2-5.4, 5.11, 5.13, 5.15,
5.32, 5.89
Probability problems related to the basic discrete distributions Extra credit: Craps (Show the series.) | Problem Set 9
Table Best 4-of-7 probabilities | T 4/27 |
| Apr 30-May 4 | Generating functions | Class & lab notes
Rosen sect. 7.4 Combinatorics sect. 3.1 | Rosen sect. 7.4 odds
Combinatorics 3.1, 3.2, 3.4, 3.5, 3.6 | Set 10 | M 5/10 |
| Recurrence relations | Lab problems
Rosen exercises | Class notes
Combinatorics sect. 3.4 | Set 11 | M 5/17 | |
Calculus = Calculus of Finite Differences and Difference Equations
Combinatorics = Combinatorics by V.K. Balakrishnan
Last updated 5/4