For UCSD students
Math 109 (Mathematical Reasoning)
Tests
- 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 1-4
- Video 4. The Induction Principle
- Practice Midterm 1. Lectures 1-8
- Solutions to Homework 1. Lectures 1-4
- Solutions to Practice Midterm 1. Lectures 1-8
Information
Peter J. Eccles, An introduction to mathematical reasoning: numbers, sets, and functions, 2007
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 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 with at most four partners. Partners may be in any of the sections of Math 152. 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 your group (unless you are in office hours with someone from the instructional team).
Homework solutions should be neatly written or typed and turned in through Gradescope by 11pm. Illegible assignments will not be graded. For step-by-step instructions on scanning and uploading your homework, see this handout. Late homeworks will not be accepted. Submit early drafts well before the deadline to make sure partial work is graded.
The Piazza forum for our class where questions can be posted and answered. It is a very helpful resource!
Office Hours
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5880A, AP&M building,
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Monday: 4-5 PM;
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Wednesday: 4-5 PM;
- Friday: 3:30-4:30 PM
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Monday: 4-5 PM;
Teaching assistants
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Renee Mirka
6436, AP&M building,
- Wednesday: 1-2 PM;
- Tuesday: 12-1 PM, 2-3 PM
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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
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October 04 |
October 05
4 Proof by contradiction
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October 06 |
| October 07 |
October 08
4 Proof by contradiction
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October 09
Discussion
|
October 10
5 The induction principle
|
October 11 |
October 12
5 The induction principle
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October 13 |
| October 14 |
October 15
6 The language of set theory
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October 16
Discussion
|
October 17
Catch up Review
|
October 18 |
October 19
Midterm I
|
October 20 |
| October 21 |
October 22
6 The language of set theory
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October 23
Discussion
|
October 24
7 Quantifiers
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October 25 |
October 26
8 Functions
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October 27 |
| October 28 |
October 29
8 Functions
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October 30
Discussion
|
October 31
9 Injections, surjections and bijections
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November 01 |
November 02
9 Injections, surjections and bijections
|
November 03 |
| November 04 |
November 05
10 Counting
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November 06
Discussion
|
November 07
11 Properties of finite sets
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November 08 |
November 09
11 Properties of finite sets
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November 10 |
| November 11 |
November 12
Veterans Day
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November 13
Discussion
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November 14
Catch up Review
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November 15 |
November 16
Midterm II
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November 17 |
| November 18 |
November 19
12-13 Counting functions and subsets
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November 20
Discussion
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November 21
12-13 Counting functions and subsets
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November 22
Thanksgiving
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November 23
Thanksgiving
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November 24 |
| November 25 |
November 26
12-13 Counting functions and subsets
|
November 27
Discussion
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November 28
14 Counting infinite sets
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November 29 |
November 30
15 The division algorithm
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December 01 |
| December 02 |
December 03
16 The Euclidean algorithm
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December 04
Discussion
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December 05
19, 21 Congruence of integers
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December 06 |
December 07
Catch up Review
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December 08 |
| December 09 | December 10 |
December 11
Final Exam
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December 12 | December 13 | December 14 | December 15 |