Math 10B: Methods of Mathematics
UC Berkeley | Spring 2016
- DIS 205: MWF 12-1 PM in 87 Evans Hall
- DIS 210: MWF 4-5 PM in 71 Evans Hall
GSI: Theodore Zhu
Email:
Office: 840 Evans Hall
Office Hours: Mondays 3-4, Wednesdays 11-12
Schedule
- 01/20: Introduction. Basic counting principles.
- 01/22: Set operations. Inclusion-exclusion. Pigeonhole principle. Exercises.
- 01/25: More counting techniques. Solutions to Wednesday's exercises.
- 01/27: Combinations and permutations. Combinatorial proofs. Exercises.
- 01/29: Quiz #1. Go over Monday's exercises.
- 02/01: Balls and boxes. Bars and stars, a.k.a. bagels.
- 02/03: Go over select homework problems.
- 02/05: Basics of discrete probability. Exercises.
- 02/08: Quiz #2. Go over Friday's exercises.
- 02/10: Go over select homework problems. Bayes' Rule.
- 02/12: Review. Basics of mathematical induction. Problem.
- 02/15: NO CLASS (Presidents' Day)
Midterm 1 (02/16)
- 02/17: Go over Midterm 1.
- 02/19: Independence. Random variables. Exercises.
- 02/22: Quiz #3. More on random variables.
- 02/24: Go over select homework problems. Bernoulli, binomial, and geometric distributions.
- 02/26: Computing expected values of random variables.
- 02/29: Quiz #4. Variance of binomial and geometric distribution.
- 03/02: Go over select homework problems. Review random variables, expected value, and variance.
- 03/04: Worksheet #5.
- 03/07: Finish Worksheet #5. Quiz #5.
- 03/09: Go over select homework problems. Recurrence relations.
- 03/11: Worksheet #6.
- 03/14: Finish Worksheet #6. Quiz #6.
- 03/16: Differential equations. Worksheet #7.
Spring Break (03/21-03/25)
- 03/28: Worksheet #8.
- 03/30: Midterm rewiew.
Midterm 2 (03/31)
- 04/01: Discuss midterm questions.
- 04/04: Quiz #7.
- 04/06: Separable differential equations. Worksheet #9.
- 04/08: Solving second order differential equations. Worksheet #10.
- 04/11: Quiz #8.
- 04/13: Matrices. Worksheet #11.
- 04/15: More on matrices. Worksheet #12.
- 04/18: Quiz #9.
- 04/20: Gaussian elimination.
- 04/22: Eigenvalues and eigenvectors. Worksheet #13.
- 04/25: Quiz #10.
- 04/27: Go over select homework problems. Matrix differential equations.
- 04/29: Linear regression. Dynamic programming.