Department of Mathematics
Box 395
Boulder, CO 80309
Office: Math 223
Email: thomas.gassert at colorado.edu

Teaching - Fall 2015

Discrete mathematics (Math 2001)

Text: Richard Hammack's Book of Proof available on his website.

Syllabus

Resources

Proof writing tips
LaTeX guide
LaTeX template
Vocabulary flashcards and .tex file

Slides and worksheets

Set worksheet
First proof
Second proof
Third proof(s)
Topology
Open and closed sets
Direct proof
Proof by contrapositive/contradiction
Proof by induction
Binomial coefficients
Relations
Equivalence relations
Modular arithmetic
Inverses

Video lectures

Section 1.1 Sets and elements (slides)
Section 1.2 Cartesian product (slides)
Section 1.3-4 Subsets (slides)
Section 1.5-6 Set operations (slides)
Section 1.7 Venn diagrams (slides)
Section 1.8 Indexed sets (slides)
Section 2.1-4 Logical statements I (slides)
Section 2.6 Logical statements II (slides)
Section 2.7 Logical statements III (slides)
Section 2.10 Logical statements IV (slides)