| Week | Dates | Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|---|---|
| 1 | Feb. 5-9 | Tower of Hanoi | Sequences | |
Financial math | Binomial Theorem |
| 2 | Feb. 12-16 | Differential calculus | Divided differences | |
Difference calculus | Interpolating polynomial |
| 3 | Feb. 19-23 | Summation & induction | Summation calculus | |
Ordinary & factorial powers | Summation & recursion |
| 4 | Feb 26-Mar 2 | Exam 1 | Asymptotics | |
L'Hospital's rule
Stirling's approx. |
Problems |
| 5 | Mar. 5-9 | How to count | Basic principles | |
Ordered arrangements | Multisets
Inclusion-exclusion |
| 6 | Mar. 12-16 | Combinations Selections |
Selections Sampling |
|
Distributions Functions |
Stirling numbers of the 2nd kind |
| 7 | Mar. 19-23 | Exam 2 | Probability spaces | |
Discrete models | Problems |
| 8 | Mar. 26-30 | Conditional probability | Random variables | |
Distributions | Special distributions |
| Break | Mar 31-Apr 9 | Spring | Break | and | Easter | Recess |
| 9 | Apr. 10-13 | Easter Monday | Special distributions | |
Means and summation formulas | Problems |
| 10 | Apr. 16-20 | Exam 3 | Variances, moments, pgf | |
Joint distributions | Covariance & correlation |
| 11 | Apr. 23-27 | Inequalities | LLN
pdf's |
|
pdfs | CLT
Problems |
| 12 | Apr 30-May 4 | Recurrence relations | Homogeneous linear recurrences | MAY DAY! |
Nonhomogeneous linear recurrences | Operator calculus
Sigma Xi |
| 13 | May 7-11 | Exam 4 | Divide-&-conquer recurrences | Generating functions | Maple lab | |
| 14 | May 14-16, 18-19 | Generating functions | Wrap-up and review | |
Reading Day | |
| 15 | May 21-22 | Finals week | Final exam | |||
| 1-14 | Class days | 13 | 14 | 14 | 13 | 13 |