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Course Information

Syllabus. Click to view the syllabus. Note that the syllabus schedule will not be updated; the updated schedule can be found below.

Materials:

  • Required: Introduction to Proof, Ron Taylor, published by the Journal of Inquiry-Based Learning in Mathematics (Note: The paperback version is different, so use this PDF.)
  • Supplemental problem list, compiled by Dr. Royal: Royal problems
  • Recommended: How to Think Like a Mathematician: A Companion to Undergraduate Mathematics, by Kevin Houston, ISBN 978-0-521-71978-0
  • Recommended: Mathematical Proofs: A Transition to Advanced Mathematics, 4th Edition, by Chartrand, Polimeni, and Zhang, ISBN 978-0-134-84047-5 Note: An old edition is fine; chapter numbers may be different.

Office Hours: MTWRF 1:00-2:00 in Boyd 637A, other times by appointment

Affirmation - Learning Environment

You deserve a learning environment that is free from discrimination and harassment. If you are experiencing discrimination or harassment, I will do whatever I can to stop it. The university's non-discrimination and anti-harassment (NDAH) policy is here. (Note that I am required by university policy to report any instances of discrimination or harassment that you report to me.)

Tentative Assessment Schedule

Hand-in problems will be collected in class regularly.

Quiz 1 - Monday, June 10 (Click on "Quiz 1" to view the Quiz 1 study guide.)

Quiz 2 - Wednesday, June 12

Exam 1 - Friday, June 14, Chapters 1-2 and inequalities. Here is a link to an old exam. Note: The old exam did not include inequality material.

Quiz 3 - Tuesday, June 18

Quiz 4 - Thursday, June 20

Exam 2 - Wednesday, June 26, Chapters 3-4

Quiz 5 - Friday, June 28

Quiz 6 - Tuesday, July 2

Final Exam - Friday, July 5 (normal classroom, normal class time)

Tentative Course Schedule

Here is our tentative schedule. I will send out pre-class problem assignments via eLC announcements.

 

 

 

Topics

Taylor

Houston

Chartrand

Jun

7

Fri

Course Intro, Statements

NA

NA

NA

Jun

10

Mon

Implications, Quantified Statements

Ch 1

Ch 2-4, 15-19

Ch 2

Jun

11

Tu

Proof Methods

Ch 2

Ch. 5-12

Ch 3-5

Jun

12

Wed

Proof Methods, Intro Induction

Ch 3

Ch 1, 20-22

Ch 6-7

Jun

13

Th

Induction, Exam Review

 

Ch 23, 26, 25

 

Jun

14

Fri

Exam 1 Ch 1-2; Induction

 

 

 

Jun

17

Mon

Induction

 

 

 

Jun

18

Tu

Induction, Sets and Venn Diagrams

4.1-4.2

Ch 1

Ch 1, 4.4

Jun

19

Wed

Set Operations

4.3

Ch 5

4.5

Jun

20

Th

Set Operations, Set Product

4.4

 

4.6

Jun

21

Fri

Set Product, Power Sets

 

 

 

Jun

24

Mon

Set Product, Power Sets

5.1-5.2

 

 

Jun

25

Tu

Relations, Exam Review

 

 

 

Jun

26

Wed

Exam 2 Ch 3-4; Relations, Equiv Relns

 

 

Ch 9

Jun

27

Th

Relations, Equiv Relations

 

Ch. 1

 

Jun

28

Fri

Order Relations, Functions

5.3

Ch. 31

 

Jul

1

Mon

Functions

 

 

Ch 10

Jul

2

Tu

Functions

 

 

 

Jul

3

Wed

Course Review

 

 

 

Jul

4

Th

July 4th Holiday - no class

 

 

 

Jul

5

Fri

Final Exam 10:30-12:30

 

 

 

 

 

 

 

 

 

 

Jul

8

Mon

Grades due on Athena at noon

 

 

 

Jul

9

Tu

Grades visible on Athena

 

 

 

Links

Division of Academic Enhancement (DAE) at UGA - if you need academic coaching

Office of Student Care and Outreach (SCO) within Student Affairs at UGA - if you have a personal or family crisis

Disability Resource Center (DRC) at UGA - if you have a documented disability 

Counseling and Psychological Services (CAPS) at UGA - if you are struggling with mental and/or emotional well-being

Relationship and Sexual Violence Prevention (RSVP) at UGA - if you have been affected by interpersonal violence, directly or indirectly

List of Math Tutors in Athens (fees charged), maintained by UGA Math Department

Disclaimer

The statements expressed here are my own and do not represent the University of Georgia.