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 |