Links
 Video 1. What is a Mathematical Proof
 Homework 1. Test Homework
 Video 2. What We Know and How to Find a Proof
 Video 3. Proofs by Contradiction
 Homework 2. Lectures 14
 Video 4. The Induction Principle
 Practice Midterm 1. Lectures 18
 Solutions to Practice Midterm 1. Lectures 18
 Review Session 1. Lectures 18
 Homework 3. Lectures 58
 Video 5. Connectives and Propositions
 Video 6. Sets
 Video 7. Functions and Quantifiers
 Homework 4. Lectures 911
 Homework 5. Lectures 1214
 Video 8. Bijections, Surjections, and Injections
 Video 9. Counting Principles
 Video 10. The Pigeonhole Principle
 Video 11. Permutations and Binomial Coefficients
 Practice Midterm 2. Lectures 917
 Solutions to Practice Midterm 2. Lectures 917
 Homework 6. Lectures 1820
 Video 12. Double Counting
 Practice Final 1. Lectures 130
 Review Session 3. Lectures 130
Information
 Textbook:
 The textbook for this course is: Peter J. Eccles, An introduction to mathematical reasoning: numbers, sets, and functions, 2007
 Grading policy:

Student's cumulative average will be computed by
taking the maximum of these two grading schemes:
 10% Homework, 25% Midterm I, 25% Midterm II, 40% Final Exam
 10% Homework, 30% maximum of Midterm I and Midterm II, 60% Final Exam
 Homework:

Homework is a very important part of the course and in order
to fully master the topics it is essential that you work
carefully on every assignment and try your best to complete
every problem.
Your total homework score will be based on the total possible homework points available. After each homework you can complete an optional online HW review highlighting key concepts. If you complete the questionnaire for an assignment and that assignment is your lowest homework score, that score will be dropped from your homework average.
Homework may be done alone or in a group of at most 5 people. Partners may be in any of the sections of the class. You are free to change partners between assignments. Problems should be solved together, not divided up between partners. For homework help, consult your textbook, class notes, lecturer, and TAs. It is considered a violation of the policy on academic integrity to: look or ask for answers to homework problems in other texts or sources, including the internet, or to
 discuss the homework problems with anyone outside of your group (unless you are in office hours with someone from the instructional team).
 Quizzes:
 Quizzes are another significant part of the course. We will have them in the last ten minutes of each Friday lectures and they will cover the material covered in the previous three lectures.
 Discussion Board:
 The Piazza forum for our class where questions can be posted and answered. It is a very helpful resource!
Office Hours

5880A, AP&M building,
 Monday: 4  5 PM
 Wednesday: 4  5 PM
 Friday: 3:30  4:30 PM
Teaching assistants

Renee Mirka,
6436, AP&M building: Wednesday: 1  2 PM
 Tuesday: 12  1 PM, 2  3 PM

Samir Canning,
6436, AP&M building: Wednesday: 8  10 AM
Calendar
Sunday  Monday  Tuesday  Wednesday  Thursday  Friday  Saturday 

September 23  September 24  September 25  September 26  September 27 
September 28
1 The language of mathematics

September 29 
September 30 
October 01
2 Implications

October 02
Discussion

October 03
3 Direct proofs

October 04 
October 05
4 Proof by contradiction

October 06 
October 07 
October 08
5 The induction principle

October 09
Discussion

October 10
5 The induction principle

October 11 
October 12
6 The language of set theory

October 13 
October 14 
October 15
6 The language of set theory

October 16
Discussion

October 17
Catch up Review

October 18 
October 19
Midterm I

October 20 
October 21 
October 22
78 Quantifiers and functions

October 23
Discussion

October 24
9 Injections, surjections and bijections

October 25 
October 26
10 Counting

October 27 
October 28 
October 29
10 Counting

October 30
Discussion

October 31
11 Properties of finite sets

November 01 
November 02
11 Properties of finite sets

November 03 
November 04 
November 05
1213 Counting functions and subsets

November 06
Discussion

November 07
1213 Counting functions and subsets

November 08 
November 09
1213 Counting functions and subsets

November 10 
November 11 
November 12
Veterans Day

November 13
Discussion

November 14
Catch up Review

November 15 
November 16
Midterm II

November 17 
November 18 
November 19
14 Counting infinite sets

November 20
Discussion

November 21
14 Counting infinite sets

November 22
Thanksgiving

November 23
Thanksgiving

November 24 
November 25 
November 26
15 The division algorithm

November 27
Discussion

November 28
15 The division algorithm

November 29 
November 30
16 The Euclidean algorithm

December 01 
December 02 
December 03
16 The Euclidean algorithm

December 04
Discussion

December 05
19, 21 Congruence of integers

December 06 
December 07
Catch up Review

December 08 
December 09  December 10 
December 11
Final Exam

December 12  December 13  December 14  December 15 