MATH 3325 Intro to Proofs, Fall 2024
Syllabus
MATH 3325 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 contrapositive
Homeworks
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
Midterm I with *** Solutions ***