21-127 Concepts of Mathematics

Course Information

Lecture
MTWRF 9:00-10:20
Office hours
MTWRF 1:30-2:30


Schedule and Assignments

Homework Template

Weekly assignments are due on the Friday of their respective weeks.
Nightly assignments are due on the date by which they are posted.

Week #1 WHW1 | Solutions
July 3 Introduction to mathematical thinking and the need for formal arguments
July 4 No Class
July 5 Introduction to propositional logic
July 6 Propositional logic and elementary proof techniques NHW1 | Rewrite | Solutions
July 7 Elementary proof techniques
Week #2 WHW2 | Rewrite | Solutions
July 10 Sets: set operations and containment arguments NHW2 | Rewrite | Solutions
July 11 Sets: indexed operations NHW3 | Rewrite | Solutions
July 12 Cartesian products and functions NHW4 | Rewrite | Solutions
July 13 Functions: images and preimages
July 14 Discussion session
Week #3 WHW3 | Rewrite | Solutions
July 17 Induction to induction NHW5 | Rewrite | Solutions
July 18 Induction: examples and pitfalls NHW6 | Rewrite | Solutions
July 19 Induction: strong and weak induction NHW7 | Rewrite | Solutions
July 20 Induction: more examples
July 21 Discussion session
Week #4 WHW4 | Rewrite | Solutions
July 24 Properties of the integers: divisibility and primes NHW8 | Rewrite | Solutions
July 25 Properties of the integers: prime factorization and division algorithm NHW9 | Rewrite | Solutions
July 26 Modular arithmetic NHW10 | Rewrite | Solutions
July 27 Modular arithmetic: theorems and diophantine equations Office hours in 6203
July 28 Discussion session: introducing Joe Briggs! Office hours in 6203
Week #5 WHW5 | Rewrite | Solutions
July 31 Back to functions: meet George Jection NHW11 | Rewrite | Solutions
Aug 1 Cardinality of sets NHW12 | Rewrite | Solutions
Aug 2 Cardinality: to infinity and beyond NHW13 | Rewrite | Solutions
Aug 3 Counting with bijections
Aug 4 Discussion session
Week #6 No homework this week. Focus on studying and rewriting assignments
Aug 7 The pigeonhole principle
Aug 8 Double counting proofs
Aug 9 Funzies: winning strategies for games, etc
Aug 10 Review
Aug 11 Final Exam