Lectures

Date

Lecture

Textbook

 

01/18

Logic

Lecture notes: slides

Rosen 1.1-1.2

 

01/23

Propositional logic

 

Lecture notes: slides

Rosen 1.2-1.3

 

01/25

Predicate calculus

 

Lecture notes: slides

Rosen 1.4

 

01/30

Rules of inference

 

Lecture notes: slides

Rosen 1.5

 

02/01

Introduction to proofs

 

Lecture notes: slides

Rosen 1.6

 

02/06

Proof techniques

 

Lecture notes: slides

Rosen 1.7

 

02/08

Proof techniques

Lecture notes: slides

Rosen 1.7

 

02/13

Sets

 

Lecture notes: slides

Rosen 2.1

 

02/15

Set operations

 

Lecture notes: slides

Rosen 2.2

 

02/20

 

Presidents day

 

 

02/22

 

Midterm exam 1

 

COB2 140

 

02/27

Functions

 

Lecture notes: slides

Rosen 2.3

 

03/01

Sequences and summations

 

Lecture notes: slides

Rosen 2.4

 

03/06

Algorithms

 

Lecture notes: slides

Rosen 3.1

 

03/08

Growth of functions

Lecture notes: slides

Rosen 3.2

 

03/13

Complexity of algorithms

 

Lecture notes: slides

Rosen 3.3

 

03/15

Integers and divisions

 

Lecture notes: slides

Rosen 4.1-4.3

 

03/20

Prime numbers

 

Lecture notes: slides

Rosen 4.3, 4.5-4.6

 

03/22

Mathematical induction

 

Lecture notes: slides

Rosen 5.1-5.2

 

03/27

 

Spring break

 

 

03/29

 

Spring break

 

 

04/03

 

Midterm exam 2

 

COB2 140

 

04/05

Strong induction and well-ordering

 

Lecture notes: slides

Rosen 5.2

 

04/10

Recursive definitions and structural induction

 

Lecture notes: slides

Rosen 5.3

 

04/12

Recursive algorithms

 

Lecture notes: slides

Rosen 5.4

 

04/17

Basics of counting

 

Lecture notes: slides

Rosen 6.1-6.2

 

04/19

Permutations and combinations

 

Lecture notes: slides

Rosen 6.3

 

04/24

 

Midterm exam 3

 

COB2 140

 

04/26

Binomial coefficients and identities

Relations

 

Lecture notes: slides

Rosen 6.4 and Rosen 9.1

 

05/01

Relations and their properties

 

Lecture notes: slides

Rosen 9.1, 9.3

 

05/03

Relations and their properties

 

Lecture notes: slides

Rosen 9.5-9.6

 

05/10

 

Finale Exam

 

COB2 140