Math 61DM: Modern Mathematics: Discrete Methods (Fall 2018)
Course Syllabus and Information
Homework assignments:
- Homework #1, due in class on Monday, October 1 (Solutions)
- Homework #2, due at TA session on Friday, October 5 (Solutions)
- Homework #3, due at TA session on Friday, October 12 (Solutions)
- Homework #4, due at TA session on Friday, October 19
- Homework #5, due at TA session on Friday, October 26
- Homework #6, due in class on Monday, November 5
- Homework #7, due in lecture on Monday, November 12
Practice exams:
- Practice Midterm Exam 1. (Exam is Tuesday, October 16, 7-9pm.)
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
- Click Counting
Instructions on Switching from Math 61 to Math 51