The Course

Textbook

A Discrete Transition to Advanced Mathematics, by B. Richmond and T. Richmond.

Grades

Honor Code

All students of the University of Colorado at Boulder are responsible for knowing and adhering to the academic integrity policy of this institution. Violations of this policy may include: cheating, plagiarism, aid of academic dishonesty, fabrication, lying, bribery, and threatening behavior. All incidents of academic misconduct shall be reported to the Honor Code Council (honor@colorado.edu; 303-725-2273). Students who are found to be in violation of the academic integrity policy will be subject to both academic sanctions from the faculty member and non-academic sanctions (including but not limited to university probation, suspension, or expulsion). Other information on the Honor Code can be found at
http://www.colorado.edu/policies/honor.html
http://www.colorado.edu/academics/honorcode

(Very) Tentative Schedule

Week 1 (August 26 - August 30). Introduction, set theory

Week 2 (September 4 - September 6). Set theory and Set operations

Week 3 (September 9 - September 13). DeMorgan's and Cartesian products, and Truth tables

Week 4 (September 16 - September 20). Truth tables and proofs

Week 5 (September 23 - September 27). Induction

Week 6 (September 30 - October 4). Primes, GCD, and MIDTERM 1

Week 7 (October 7 - October 11). Euclidean algorithm and fundamental theorem of arithmetic

Week 8 (October 14 - October 18). Combinations

Week 9 (October 21 - October 25). Fundamental rules of counting, partitions

Week 10 (October 28 - November 1). Binomial coefficients and overcounting

Week 11 (November 4 - November 8). Counting probabilities and the pigeonhole principle

Week 12 (November 11 - November 15). Relations

Week -- (November 18 - November 22). Functions and MIDTERM 2

Week 13 (November 25 - November 29). Fall Break

Week 14 (December 2 - December 6). Invertibility and Catalan numbers

Week 15 (December 9 - December 13). Fibonacci sequences and derangements

Finals Week (December 14 - December 19). ???