MATH 3325 Fall 2024 Syllabus

Hall 305 MW 12:30pm – 1:45 pm

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

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

Mathematical Proofs: A Transition to Advanced Mathematics by Gary Chartrand, Albert D. Polimeni, Ping Zhang

- 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 - Exercises class - The contrapositive

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 21
• No homework this week due to the group work we did.
• HW 6: Exercises 7.2(c),7.3(a), 7.6(a), 7.12, 7.14 of chapter 7 exercises Deadline: Nov 11
• HW 7: Exercises 9.63,9.64, 9.65, 9.74, 9.79 of chapter 9 exercises Deadline: Dec 2

Exam 1 with *** Solutions ***

Exam 2 with *** Solutions ***

Exam 3 with *** Solutions ***