Math 61DM: Modern Mathematics: Discrete Methods (Fall 2016)



Course Syllabus and Information

Homework assignments:
- Homework 1, due Monday, October 3 at lecture
- Homework 2, due Friday, October 7 at section
- Homework 3, due Friday, October 14 at section
- Homework 4, due Friday, October 21 at section
- Homework 5, due Friday, October 28 at section
- Homework 6, due Friday, November 4 at section
- Homework 7, due Friday, November 11 at section
- Homework 8, due Monday, November 28 at section
- Homework 9, due Monday, December 5 at section

Practice exams:
- Practice Mid-Term 1
- Practice Mid-Term 2, #1
- Practice Mid-Term 2, #2
- Practice Final #1
- Practice Final #2, Solutions

Calculus + Linear Algebra Handouts:
- Basic Algebra (updated)
- Vector spaces and linear maps (updated)
- Inner products (updated)
- Metric spaces
- Open and closed sets
- Rearranging series
- Product rule
- Chain rule
- Taylor's theorem
- The integral
- Permutations
- Duals, adjoints/transposes and the spectral theorem
- Distributions, for fun only!
- Contraction mapping theorem and ODEs
- The fundamental theorem of algebra
- Multilinear maps

Discrete Math Handouts:
- Counting
- Inclusion-Exclusion Principle
- Generating Functions