Date

Class Topic

Reading (Mathematical Structures by A. Hwang)

1/21

Course introduction, Statements and Logical Connectives

1.1

1/23

Quantifiers, Truth Tables (Homework 0 due)

1.2

1/28

Sets and set operations

1.3 

1/30

More on sets, Axioms for Integers  (Homework 1 due)

1.3 - 2.1

2/4

The Division Algorithm

2.2

2/6

Mathematical Induction  (Homework 2 due)

2.3

2/11

More on Induction (Quiz 1) 

2.3

2/13

Mappings (Homework 3 due)

3.1

2/18

Surjectivity and Injectivity of Mappings  

3.2

2/20

Composition of mappings, Inverses (Homework 4 due)

3.3

2/25

Peremutations

3.4

2/26

Exam 1: 6:00 - 7:45 PM, Smith Labs 154

2/27

Permutations. The Binomial Theorem 

3.4 - 7.3

3/3-5

No Class - Spring Break

3/10

Binary Operations 

3.6

3/12

3/17

Catch-up (Homework 5 due)   

(no class)

3/19

(no class)

3/24

Groups, Binary Relations, Equivalence classes 

3.7 - 4.1 

3/26

Greatest Common Divisor (Homework 6 due)

5.1

3/31

Primes, Coprimality (Quiz )

5.2

4/2

Modular Arithmetic (Homework 7 due)

6.1

4/7

Units and Inverses (Quiz)

6.2

4/9

No Class - Easter Break

4/14

Real Numbers, Complex Number (Quiz )

7.1 - 7.2

4/16

Sets of Real Numbers, Upper and lower bounds 

(Homework 8 due)

8.1 - 8.2

4/21

The Archimedean Property (Quiz )

8.2 - 8.3

4/23

Sequences, Limits (Homework 9 due)

9.1

4/28

Properties of Limits  (Quiz)

9.2

4/30

Monotone Sequences (Homework 10 due)

9.3