MATH 3325 Intro to Proofs, Fall 2024

Syllabus

Class meeting

Hall 305 MW 12:30pm – 1:45 pm

Office hours

Hall 314U Mon, 4:45 pm– 5:30 pm; Anytime by appointment (please email me)

Textbook

Proofs: A Long-Form Mathematics Textbook by J. Cummings

Notes

Intuitive Proofs

- Chessboard problems- The pigeonhole principle

Direct proofs

- If...then and proof by cases- Divisibility and Modular Arithmetic

- Exercises class direct proofs

Sets and Logic

- Sets- Exercise class - Sets

Induction

- Examples of induction- ** Extra Credit and group work**

Logic

- the contrapositiveHomeworks

There will be a homework each week. These assessed questions will collectively count for 20% of your overall grade.

- HW 1: Exercises 1.3, 1.4, 1.7, 1.8, 1.15, 1.17
**Deadline: Sep 4**(Solutions .tex template I use TexShop(local) or overleaf(online) to edit latex files) - HW 2:Exercises 2.2(a),2.5(a),2.6,2.7(a,b),2.11
**Deadline: Sep 11** - No Homework this week due to the Exam next week.
- HW 3: Choose 5 exercises from chapter 3 that we didn't do in class.
**Deadline: Sep 30** - HW 4: Exercises 4.19,4.22,4.25,4.27,4.30.
**Deadline: Oct 9** - HW 5: Exercises 5.15,5.19,5.23(b), 5.24(f), 5.25(g).
**Deadline: Oct 16**

Exams