Sebastian Casalaina

Introduction to Discrete Mathematics

MATH 2001 Spring 2020

Course description

Introduces the ideas of rigor and proof through an examination of basic set theory, existential and universal quantifiers, elementary counting, discrete probability, and additional topics. Department enforced prerequisites: MATH 1300 or MATH 1310 or APPM 1345 or APPM 1350 (minimum grade C-).


MWF 10:00 AM -- 10:50 AM, ECCR 108

University of Colorado Academic Calendar

Office hours

W 11:00 AM -- 12:00 PM and F 12:00 PM -- 1:00 PM or by appointment


The textbook for the course is:

  1. Richard Hammack, The Book of Proof, Creative Commons, 3rd edition, 2018.

Our treatment may also follow parts of:

  1. R. Hartshorne, Geometry: Euclid and Beyond Springer, 2000.
  2. Euclid's Elements, courtesy of the Clay Math Institute.

Hammack's book is available in .pdf for free through the author's webpage. The Springer book is available for free in .pdf through the University of Colorado.


Homework and Quizzes 15%, Midterm I 25%, Midterm II 25%, Final 35%.