# All Educational Materials for MATH135 at University of Waterloo (UW)

## Popular Study Guides

UWMATH135Jonathan StephensonWinter

## [MATH 135] - Midterm Exam Guide - Everything you need to know! (11 pages long)

11 Page
6 Feb 2017
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UWMATH135Wentang KuoFall

## [MATH 135] - Midterm Exam Guide - Comprehensive Notes for the exam (39 pages long!)

39 Page
5 Oct 2016
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UWMATH135Shane BaumanFall

## [MATH 135] - Midterm Exam Guide - Comprehensive Notes for the exam (17 pages long!)

17 Page
5 Oct 2016
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UWMATH135Carolyn Alexis KnollFall

## MATH135 Study Guide - Fall 2018, Comprehensive Midterm Notes -

18 Page
12 Oct 2018
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UWMATH135Ian GouldenFall

## MATH 135- Midterm Exam Guide - Comprehensive Notes for the exam ( 28 pages long!)

28 Page
5 Oct 2017
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UWMATH135Wentang KuoFall

## [MATH 135] - Final Exam Guide - Everything you need to know! (106 pages long)

106 Page
29 Nov 2016
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UWMATH135Shane BaumanWinter

## MATH 135- Final Exam Guide - Comprehensive Notes for the exam ( 135 pages long!)

135 Page
29 Mar 2018
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UWMATH135Ian GouldenFall

## MATH 135- Final Exam Guide - Comprehensive Notes for the exam ( 28 pages long!)

28 Page
30 Nov 2017
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UWMATH135John Paul PrettiWinter

## [MATH 135] - Final Exam Guide - Everything you need to know! (49 pages long)

49 Page
30 Mar 2017
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UWMATH135Shane BaumanFall

96 Page
29 Nov 2016
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## Trending

Frequently-seen exam questions from 2014 - 2018.
UWMATH135Alan ThompsonSpring

## MATH135 Lecture Notes - Lecture 7: Integer Factorization, Mathematical Induction, Natural Number

7 Page
8 Aug 2019
Every natural number n > 1 can be written as a product of primes uniquely, apart from the order of the factors. * this theorem is often called the fund
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UWMATH135Alan ThompsonSpring

## MATH135 Study Guide - Midterm Guide: Floor And Ceiling Functions, Contraposition, Prime Number

8 Page
8 Aug 2019
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UWMATH135Alan ThompsonSpring

## MATH135 Study Guide - Midterm Guide: Natural Number

7 Page
8 Aug 2019
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UWMATH135Alan ThompsonSpring

## MATH135 Study Guide - Midterm Guide: Natural Number

7 Page
8 Aug 2019
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UWMATH135Alan ThompsonSpring

## MATH135 Study Guide - Midterm Guide: Mathematical Induction

4 Page
8 Aug 2019
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UWMATH135Alan ThompsonSpring

## MATH135 Study Guide - Midterm Guide: Mathematical Induction, Cas1, Joule

10 Page
8 Aug 2019
Algebra for honours mathematics (based on fall 2016) Additional instructions: fill in your waterloo student id number and watiam/quest login userid abo
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UWMATH135Alan ThompsonSpring

## MATH135 Study Guide - Midterm Guide: Order Of Merit

6 Page
8 Aug 2019
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UWMATH135Alan ThompsonSpring

## MATH135 Midterm: A01

7 Page
8 Aug 2019
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UWMATH135Alan ThompsonFall

## MATH135 Study Guide - Midterm Guide: Truth Table

2 Page
20 Jun 2019
We make the following claim: each card with a vowel on one side has an odd number on the other side. 4 cards on the table are showing 3 , i , 4 and l .
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UWMATH135Alan ThompsonFall

## MATH135 Lecture Notes - Lecture 5: Extended Euclidean Algorithm, Reverse Engineering, Coprime Integers

4 Page
20 Jun 2019
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UWMATH135Shamovich,EliWinter

## MATH135 Lecture 31: 2190227

OC26029694 Page
4 Mar 2019
0
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UWMATH135Shamovich,EliWinter

## MATH135 Lecture 30: 20190226

OC26029693 Page
4 Mar 2019
0
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UWMATH135Shamovich,EliWinter

## MATH135 Lecture 29: 20190225

OC26029694 Page
4 Mar 2019
0
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UWMATH135Shamovich,EliWinter

## MATH135 Lecture 32: 20190301

OC26029693 Page
4 Mar 2019
0
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UWMATH135Shamovich,EliWinter

## MATH135 Lecture 23: 2019-02-13

OC26029693 Page
20 Feb 2019
0
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UWMATH135Shamovich,EliWinter

OC26029693 Page
17 Feb 2019
0
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## Popular Professors

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## Popular Class Notes

UWMATH135Shane BaumanFall

## MATH135 Lecture 15: More POMI and POSI

2 Page
9 Oct 2015
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UWMATH135Shane BaumanFall

## MATH 135 Lecture 1: MATH135 notes part 1

39 Page
18 Dec 2017
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UWMATH135Shamovich,EliWinter

## MATH135 Lecture 15: 2019-01-30

3 Page
1 Feb 2019
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UWMATH135Shane BaumanFall

## MATH135 Lecture Notes - Lecture 24: Diophantine Equation, Set Notation

2 Page
27 Oct 2015
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UWMATH135Shamovich,EliWinter

## MATH135 Lecture 16: 2019-02-01

3 Page
1 Feb 2019
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UWMATH135Shane BaumanFall

## MATH 135 Lecture 2: Statements, Equations, Inequalities

1 Page
19 Sep 2016
A statement is a sentence that has a definite state of being true or false. Because a square is always positive, the following statement is true: Whils
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UWMATH135Shane BaumanFall

## MATH135 Lecture 1: Introduction

1 Page
29 Sep 2015
All course information can be found on learn. Assignments are due every wednesday at 8:25am and are to be submitted electronically through crowdmark. A
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UWMATH135Shane BaumanFall

## MATH135 Lecture Notes - Lecture 12: Without Loss Of Generality, Contraposition

3 Page
5 Oct 2015
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UWMATH135Shane BaumanFall

## MATH135 Lecture Notes - Lecture 47: Public-Key Cryptography, European Route E6, Junkers J.I

3 Page
8 Dec 2015
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UWMATH135Shane BaumanFall

## MATH135 Lecture Notes - Lecture 11: Surjective Function, Without Loss Of Generality

3 Page
2 Oct 2015
Math 135 - lecture 11: division algorithm and uniqueness. To prove a statement of the form: ifthen there is a unique object x in the set s such that p(
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UWMATH135Fall

## MATH135 Chapter 1-5: RDW_0401.pdf

434 Page
7 Feb 2015
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UWMATH135Alan ThompsonSpring

## MATH135 Chapter Notes - Chapter 1-9: Augmented Matrix, Row Echelon Form, Elementary Matrix

8 Page
5 Jun 2017
University of waterloo and others, powered by maplesoft. Note: theorem numbering typically occurs in order, however, there are a few times when a numbe
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UWMATH135Fall

358 Page
17 Jun 2015
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UWMATH135Fall

## MATH135coursenote.pdf

358 Page
1 Oct 2013
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UWMATH135Mike EdenFall

## Congruence & Primes Propositions

3 Page
3 Feb 2012
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UWMATH135Wentang KuoFall

342 Page
16 Dec 2013
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UWMATH135Winter

2 Page
24 Mar 2016
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UWMATH135AllFall

## MATH135 Chapter 1-15: 135MidtermSummaryFromTextbook

4 Page
17 Oct 2015
Direct proof of an implication: assume the hypothesis to be true, then prove the conclusion must be true. Proof by contradiction: assume the statement
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UWMATH135Mike EdenFall

## MATH135 Chapter Notes -Diophantine Equation

5 Page
3 Feb 2012
Since a | b, there exists an integer r so that ra = b. Since b | c, there exists an integer s so that sb = c. Substituting ra for b in the previous equ
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UWMATH135Winter

697 Page
27 Jul 2015
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UWMATH135Fall

## MATH135 Chapter 1-5: RDW_0401.pdf

434 Page
7 Feb 2015
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UWMATH135Shane BaumanFall

## MATH135 Lecture 15: More POMI and POSI

2 Page
9 Oct 2015
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UWMATH135Shane BaumanFall

96 Page
29 Nov 2016
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UWMATH135Fall

27 Page
12 Mar 2015
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UWMATH135Fall

1 Page
17 Jun 2015
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UWMATH135Fall

## MATH 135 Final: MATH135 - Full Course Notes 2017

62 Page
26 Feb 2018
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UWMATH135Wentang KuoFall

## [MATH 135] - Midterm Exam Guide - Comprehensive Notes for the exam (39 pages long!)

39 Page
5 Oct 2016
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UWMATH135Shane BaumanWinter

## MATH 135- Final Exam Guide - Comprehensive Notes for the exam ( 135 pages long!)

135 Page
29 Mar 2018
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UWMATH135Ian GouldenFall

## MATH 135- Midterm Exam Guide - Comprehensive Notes for the exam ( 28 pages long!)

28 Page
5 Oct 2017
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UWMATH135Shane BaumanFall

## MATH135 Final: Complete and Comprehensive 111 Page Final Exam Study Guide Fall 2015

111 Page
9 Dec 2015
What result are you trying to achieve (conclusion): define any terms, consider specific examples to solidify your understanding, maybe rephrase the sta
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## Most Recent

UWMATH135Alan ThompsonSpring

## MATH135 Lecture 4: 4

10 Page
8 Aug 2019
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UWMATH135Alan ThompsonSpring

## MATH135 Lecture 6: 6

8 Page
8 Aug 2019
2 ) ( 2 , 3 ) # 1 7 , 6 = 3 ( 2 7 -1 0 a = 6 , 4. , 0 ) gcd ( 0 , x ) Proofletdigcdl3atb. at andfgcdla. by/tsd=gcdl3atb,a),weknowdl3atbanddla bydefinit
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UWMATH135Alan ThompsonSpring

## MATH135 Lecture 3: 3

8 Page
8 Aug 2019
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UWMATH135Alan ThompsonSpring

## MATH135 Lecture 5: 5

7 Page
8 Aug 2019
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UWMATH135Alan ThompsonSpring

## MATH135 Lecture 2: 2

9 Page
8 Aug 2019
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UWMATH135Alan ThompsonSpring

## MATH135 Lecture 8: 8

5 Page
8 Aug 2019
17 xy +13 = 9 2 lnotl. de tuovamnestimesquestonsyoucan. ch?histhenea solution ? todgaanyoufindone. it. + 2 y x t y = Zwithaandbnotbothosupposeaxtby-cha
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UWMATH135Alan ThompsonSpring

## MATH135 Lecture 1: 1

10 Page
8 Aug 2019
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UWMATH135Alan ThompsonSpring

## MATH135 Lecture Notes - Lecture 7: Integer Factorization, Mathematical Induction, Natural Number

7 Page
8 Aug 2019
Every natural number n > 1 can be written as a product of primes uniquely, apart from the order of the factors. * this theorem is often called the fund
View Document
UWMATH135Alan ThompsonSpring

## MATH135 Study Guide - Midterm Guide: Floor And Ceiling Functions, Contraposition, Prime Number

8 Page
8 Aug 2019
View Document
UWMATH135Alan ThompsonSpring

## MATH135 Study Guide - Midterm Guide: Contraposition, Bucatini, Binomial Coefficient

8 Page
8 Aug 2019
Example let xe 27 prove that if it 5 2 is odd then x is odd. Since k e b 2k45k i c b x"t 5 x 2 is even. Hence the contrapositive is true the statement
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