Chapters and sections refer to our textbook, *Mathematical Reasoning: Writing and Proof* by Ted Sundstrom.

- 1st Week, Aug. 21-25. Chapter 1 Introduction to writing proofs in Mathematics
- 1.1 Statements and Conditional Statements
- 1.2 Constructing Direct Proofs

- 2nd Week, Aug. 28 - Sept. 1. Chapter 2 Logical Reasoning
- 2.1 Statements and Logical Operations
- 2.2 Logically Equivalent Statements.
- Supplementary example: creating a formula with a given truth table.
- 2.3 Open Sentences and Sets

- 3rd Week, Sept. 4-8. Chapter 2 (cont.).
**Labor Day holiday, Monday Sept. 4**- 2.4 Quantifiers and Negations. (No quiz today).

- 4th Week, Sept. 11-15. Chapter 3 Constructing and Writing Proofs in Mathematics
- 2.4 Quantifiers and Negations (cont.)
- Homework: Write up exercise 2.4 #13 and turn it in Monday.

- 5th Week, Sept. 18-22. Chapter 3 (cont.)
- 3.1 Direct Proofs
- 3.2 More Methods of Proof
- Homework: Section 3.1 #6, 10, 16 and section 3.2 #11, 12, 14, 19. Due Monday.

- 6th Week, Sept. 25-29. Chapter 3 (cont.)
- 3.3 Proof by Contradiction
**Test Wednesday Sept. 27**- 3.4 Using Cases in Proofs (maybe next week ???)
- 3.5 The Division Algorithm and Congruence (maybe next week???
- 3.6 Review of Proof Methods

- 7th Week, Oct. 2-6. Chapter 4 Mathematical Induction
- 3.1 The Principle of Mathematical Induction
- 3.2 Other Forms of Mathematical Induction

- 8th Week, Oct. 9-13. Chapter 4 (cont.)
- 3.3 Induction and Recursion

- 9th Week, Oct. 16-20. Chapter 5 Set Thoery
- 5.1 Sets and Operations on Sets
- 5.2 Proving Set Relationships

- 10th Week, Oct. 23-27. Chapter 5 (cont.)
- 5.3 Properties of Set Operations
- 5.4 Cartesian Products

- 11th Week, Oct. 30 - Nov. 3. Chapter 5 (cont.), Chapter 6 Functions
- 5.5 Indexed Families of Sets
- 6.1 Introduction to Functions

- 12th Week, Nov. 6-10. Chapter 6 (cont.)
**Test Monday Nov. 6**- 6.2 More about Functions
- 6.3 Injections, Surjections, and Bijections
**Veterans' Day Holiday Friday Nov. 10**

- 13th Week, Nov. 13-17. Chapter 6 (cont.)
- 6.4 Composition of Functions
- 6.5 Inverse Functions
- 6.6 Functions Acting on Sets

- 14th Week, Nov. 20-24. Chapter 7 Equivalence Relations
- 7.1 Relations
- 7.2 Equivalence Relations
**Thanksgiving Holiday Thursday, Friday Nov. 23-24**

- 15th Week, Nov. 27 - Dec. 1.
- 7.3 Equivalence Classes
- 7.4 Modular Arithmetic

- 16th Week, Monday Dec. 4 only.
- Review

**Final Exam Wednesday Dec. 13 8:30-10:30am**