MATH 321: Introduction to Advanced Mathematics (Spring 2024)

Instructor: Nha Truong

Office hours: MWF 10:30AM - 11:30 AM - Keller 410

Course information:

Time: MWF 9:30 AM - 10:20 AM

Room:  Keller 313

Textbook: Book of Proof by Richard Hammack.

Grade: Problem sets (30%), Quizzes (10%), Midterm  (30%), Final  (30%).

Problem sets: There will be a problem set for each chapter. 

Quizzes: There will be a short quiz base on the problem set on every Friday when the problem set due.

Exams: There will be 2 midterm exams. The final is cumulative; the midterms are not. The final’s grade may replace the lower midterm. The exams are on the following dates:

Exam 1: Wednesday February 14, 9:30- 10:20AM 

Exam 2: Wednesday April 03, 9:30-10:20AM

Final: Monday May 06, 9:45 -11:45 AM

Resources:

• Lecture notes

• Homework

• Exams

• Schedule:

Part I: Fundamental of Mathematics

1. Sets

2. Logics

Part II: How to prove

1. Direct Proof

2. Contrapositive Proof

3. Proof by Contradiction

4. Mathematical Induction

5. Proof involving Sets

6. Non-conditonal Statement

7. Disproof

Part III: Other topics

1. Relations

2. Functions

3. Cardinality of Sets