Math 2800 - Introduction to Mathematical Proof

Instructor:  Dr. Karen Briggs,  Assistant Professor of Mathematics
Office:  214 Newton Oakes Center
Office Hours:  MWF 9:00 - 10:00 AM,
                        MW    1:30 - 3:00 PM,
Phone:  706-867-3539
Fax:  706-864-1678
Email:  kbriggs@ngcsu.edu

Syllabus

Quiz Practice Problems:

·         P. 195 - 196:  # 45 - 50, 53, 54

·         P. 260 - 264:  TBA

 

Week

Date

Chapters and Topics

Assignments and Announcements

1

Aug. 20 - 22

Syllabus and Introduction
Ch. 1 – Sets

 

2

Aug. 25 – 29

Ch. 1 - Sets

 

3

Sept. 1 – 5

Ch. 2 – Logic

Sept. 1 – Labor Day Holiday
p. 27 – 31:  1, 4, 6, 7, 8, 10, 12, 18, 21, 23, 26, 27, 30, 32, 38, 41, 43, 46.  Due:  Wednesday, Sept. 10

4

Sept. 8 – 12

Ch. 2 – Logic
Communicating Mathematics
Ch. 3 – Direct Proof and Proof by Contrapositive

p. 57 - 63:  1, 4, 10, 12, 14, 15, 18, 20, 24, 26, 27, 32, 33, 36, 41, 46, 49, 51.  Due:  Wednesday, Sept. 17

5

Sept. 15 – 19

Ch. 3 – Direct Proof and Proof by Contrapositive

p. 83 - 85:  6, 8, 16, 18, 20, 24, 28, 30. 
Due:  Monday, Sept. 22

6

Sept. 22 – 26

Review, Test 1
Ch. 4 – More on Direct Proof and Proof by Contrapositive

Test 1 (Ch. 1 – 3)– Wednesday, Sept. 24

7

Sept. 29 – Oct. 3

Ch. 4 – More on Direct Proof and Proof by Contrapositive

 

8

Oct. 6 – 10

Ch. 5 – Existence and Proof by Contradiction

Oct. 10 – Fall Break
p. 101 - 104:  4, 6 (note change), 10, 17, 21a, 24, 30, 32, 36, 38, 46     Due:  Monday, Oct. 13

9

Oct. 13 – 17

Ch. 5 – Existence and Proof by Contradiction,
Ch. 6 – Mathematical Induction

p. 124 - 125:  4, 14, 8 (do 14 first!), 16, 28 - 31, 37    Due:  Wednesday, Oct. 22

10

Oct. 20 – 24

Ch. 6 – Mathematical Induction

p. 150 - 152:  1, 6, 8, 10, 14, 20, 24, 32, 34    Due:  Friday, Oct. 31

11

Oct. 27 – 31

Ch. 11 – Proofs in Number Theory

 

12

Nov. 3 – 7

Ch. 11 – Proofs in Number Theory
Review, Test 2

Test 2 (Ch. 4 – 7) – Friday, Nov. 7

13

Nov. 10 - 14

Ch. 11 – Proofs in Number Theory
Ch. 8 – Equivalence Relations

p. 260 - 263 #8, 13ab, 14, 22, 26, 27, 32, 37, 42, 43  Due:  Monday, Nov. 17

14

Nov. 17 – 21

Ch. 8 – Equivalence Relations
Ch. 9 – Functions

p. 192 - 194 #6, 10, 16, 24, 30, 32, 38  Due:  Monday, Nov. 24

15

Nov. 24 – 27

Quiz

Quiz (Ch. 8 – 9) – Monday, Nov. 24
Nov. 26 – 28 – Thanksgiving Holiday

16

Dec. 1 – 5

Review for Final Exam

Dec. 1 – Last Day of Class
 Final Exam – Fri., Dec. 5, 10:30 – 12:30

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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Last edited:  11/17/2008 09:57 AM