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MAT Dept. Info University of Toronto's MAT department has 114 courses in Course Hero with 6330 documents and 91 answered questions.

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    University of Toronto
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    EricMoore, X.Jiang, KenButler, RaymondGrinnell, LisaJeffrey, goldstein, moore, Jordan Bell, N.Breuss, Richard Pancer, yevgenyliokumovich, CHEN, 123, PaulKergin, TATE, wilk, CARR, FUCHS, A. Lam, LAM, MengFaiLim, Peng, alfonso, DrorBar-Natan, MichaelLorimer, D.Burbulla, Tyler, Chulkov, MaryPugh, DietrichBurbulla, WilliamCluett, froster, WANG, NaraJung, Ha he, UPPAL, upper, Daniel, Bernardo, MarinaChugunova, Yew, DONKNOW, Prof. Rodriguez, EMazzeo, Staff, CJAdkins, Hoell, ROSENTHAL, vjk, VitaliKapovitch, Nachman, MITCHELL, D.Moskov, Deljunco, AndresdelJunco, Meinrenken, Kong, igelfeld, Ying, Granikh, XinShen, LShorser, galbinyaumini, burnardo, SoheilHomayouni
Number of courses:
114

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MAT Documents

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  • 15 pages MAT135 Syllabus Fall 2017(4).pdf
    • MAT135 Syllabus Fall 2017(4).pdf
    • University of Toronto
    • Calculus 1(A)
    • MAT 135 - Fall 2013
    • MAT135H1: Calculus 1(A) University of Toronto Fall 2017 In the 17th century, two mathematicians German Gottfried Leibniz and Englishman Isaac Newton simultaneously discovered an intimate connection between two seemingly unrelated problems: measuring chang
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    MAT135 Syllabus Fall 2017(4).pdf

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  • 6 pages Writing Assigment 1 examples.pdf
    • Writing Assigment 1 examples.pdf
    • University of Toronto
    • Linear Algebra
    • MAT 224 - Winter 2017
    • MAT 224 | Writing Assignment 1 asc Question 1: Prove that the commutativity of addition property of a vector space (property 2 in Definition 1.1.1 of the textbook) follows from the other properties of a vector space. In other words, assuming only (a), (b)
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    Writing Assigment 1 examples.pdf

  • 175 pages LectureNotes237.pdf
    • LectureNotes237.pdf
    • University of Toronto
    • Advanced Calculus
    • MAT 237Y1 - Fall 2013
    • MAT237 Lecture Notes c Tyler Holden, 2015-2016 Contents 1 The Topology of Rn 1.1 1.2 4 Sets and notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.1.1 Basic Set Theory . . . . . . . . . . . . . . . . . . . . . . . . .
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    LectureNotes237.pdf

  • 4 pages 2015 Fallmidterm 1.pdf
    • 2015 Fallmidterm 1.pdf
    • University of Toronto
    • Ordinary Differential Equations
    • MAT 244 - Summer 2014
    • MAT244F ODES Midterm #1, Oct. 141, 2015 6:107:00pm Total: 20 points. No aids allowed! @4 pts) Find the solution of m(m+1)y+y+1=0 satisfying y(1) = 1. @onsider a Bernoulli equation d 142% 2962/, dx y 931 (2 pts) Using the substitution 2 = y2, reduce thi
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    2015 Fallmidterm 1.pdf

  • 7 pages termtest1.pdf
    • termtest1.pdf
    • University of Toronto
    • Ordinary Differential Equations
    • MAT 244 - Summer 2014
    • MAT244- TermTest I Date: October 12, 2016 Time: 50 min Surname: _Given Name:_ Id Number:_ INSTRUCTIONS: Answer all questions Unsubstantiated work may not receive full credit No aids are permitted Question Maximum Grade Your Grade 1 10 2 10 3 10 4 10 5 10
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    termtest1.pdf

  • 9 pages MAT_244_Test-1.pdf
    • MAT_244_Test-1.pdf
    • University of Toronto
    • Ordinary Differential Equations
    • MAT 244 - Summer 2014
    • FACULTY OF ARTS & SCIENCES University of Toronto MAT244 Ordinary Differential Equations Exam, February 25, 2016 Examiners: N. Hoell, M. Niksirat, & Y. Song Duration: 90 minutes NO AIDS ALLOWED. Total: 100 marks Family Name: (Please Print) Given Name(s): (
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    MAT_244_Test-1.pdf

  • 41 pages ps 16-21 sol-1.pdf
    • ps 16-21 sol-1.pdf
    • University of Toronto
    • Advanced Calculus
    • MAT 237Y1 - Fall 2013
    • MAT237 16 Regular Integral Question 2 1. Suppose f (x, y) = f (x, y). Let D be the rectangle cfw_r x, y r. Z x=r Z y=r Z f (x, y) = f (x, y) dydx D x=r y=r Consider the transformation g(u, v) = (u, v) = (x, y) 1 0 Dg = 0 1 Det(Dg ) = 1 The original domain
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    ps 16-21 sol-1.pdf

  • 29 pages ps10-14 sol.pdf
    • ps10-14 sol.pdf
    • University of Toronto
    • Advanced Calculus
    • MAT 237Y1 - Fall 2013
    • MAT237 Test 3 10 Optimization Classify critical points. Question 1a f (x, y) = x4 2x2 + y 3 6y f = (3x2 2x y 2 , (x 1)(2y) = 0 Critical (0, 0) ( 23 , 0) (1, 1) (1, 1) points: inconclusive min saddle saddle Question 1b f (x, y) = (x 1)(x2 y 2 ) 2 2 f = 3x
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    ps10-14 sol.pdf

  • 5 pages Problem_set_1.pdf
    • Problem_set_1.pdf
    • University of Toronto
    • Advanced Calculus
    • MAT 237Y1 - Fall 2013
    • May 18, 2017 12:29 PM Problem Sets Page 1 Problem Sets Page 2 Problem Sets Page 3 Problem Sets Page 4 Problem Sets Page 5
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    Problem_set_1.pdf

  • 8 pages 237TT2.pdf
    • 237TT2.pdf
    • University of Toronto
    • Advanced Calculus
    • MAT 237Y1 - Fall 2013
    • m ID : 18 9 29 ww w. Item ID: ox di a 18299 .c om Ite m ID: 182 99 ID: Do wn 9 1829 er ID: 20820 em : ID 29 18 9 rI D It lo ad e Item Download Do wn lo ad er ID : 20 82 0 9 : 18 29 ID em It Ite m ID: 182 99 20 Do 82 0 ad lo wn er : ID 0 82 20 It em ID : 1
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    237TT2.pdf

  • 7 pages Test1solutions.pdf
    • Test1solutions.pdf
    • University of Toronto
    • Advanced Calculus
    • MAT 237Y1 - Fall 2013
    • University of Toronto, MAT237 2017-8, Term Test 1 October 13, 2017 Last name . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . First name . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . E
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    Test1solutions.pdf

  • 12 pages matb24h3-d14.pdf
    • matb24h3-d14.pdf
    • University of Toronto
    • Linear Algebra II
    • MAT MATB24 - Spring 2010
    • University of Toronto Scarborough Department of Computer & Mathematical Sciences FINAL EXAMINATION MATB24H Linear Algebra II Examiners: X. Jiang E. Moore Date: December 12, 2014 Start Time: 9:00AM Duration: 3 hours FAMILY NAME: GIVEN NAMES: STUDENT NUMBER
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    matb24h3-d14.pdf

  • 1 pages hw5.pdf
    • hw5.pdf
    • University of Toronto
    • ABSTRACT MATH
    • MAT 246 - Spring 2014
    • (1) Let p1 , p2 , p3 be distinct prime numbers. Using the method from class give a careful proof of the formula ppk11 pk22 pk33 q ppk11 pk11 1 qppk22 pk22 1 qppk33 pk33 1 q (2) Let a, b, c be natural numbers. Let pa, b, cq be the largest natural number th
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    hw5.pdf

  • 1 pages practiceterm3.pdf
    • practiceterm3.pdf
    • University of Toronto
    • ABSTRACT MATH
    • MAT 246 - Spring 2014
    • MAT 246S Practice Term Test 3 Winter 2014 (1) Find a mistake in the following proof. Claim: 1 + 2 + . . . + n = 12 (n + 12 )2 for any natural n. We proceed by induction on n. a) The claim is true for n = 1. b) Suppose we have already proved the claim for
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    practiceterm3.pdf

  • 11 pages Solutions-test.pdf
    • Solutions-test.pdf
    • University of Toronto
    • ABSTRACT MATH
    • MAT 246 - Spring 2014
    • University of Toronto MAT246 midterm test Friday Feb. 26, 2016 Duration: 100 minutes No aids allowed Instructions: This exam contains 105 marks, out of which 5 marks are bonus marks. Please answer all questions in the spaces provided (if you use back of a
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    Solutions-test.pdf

  • 7 pages MAT246 Midterm Review 上.pdf
    • MAT246 Midterm Review 上.pdf
    • University of Toronto
    • ABSTRACT MATH
    • MAT 246 - Spring 2014
    • MAT246 Midterm Review Part 1 Induction, Well Ordering Principle and natural numbers Definitions: 1) Divisibility: a,b are natural numbers (/integers) a|b if there is a natural number(/integer) k such that ak=b 2) prime: a natural number greater than 1 who
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    MAT246 Midterm Review 上.pdf

  • 1 pages hw8.pdf
    • hw8.pdf
    • University of Toronto
    • ABSTRACT MATH
    • MAT 246 - Spring 2014
    • (1) Let P (z) be a polynomial with complex coefficients such that P (n) = 0 for all integer n. Prove that P (z) = 0 for all z C. (2) Express the following complex number as a + bi for some real a, b (2 + 3i) |1 3i| 2 1 + 2i (3) Construct an explicit 1-1 a
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    hw8.pdf

  • 1 pages hw4.pdf
    • hw4.pdf
    • University of Toronto
    • ABSTRACT MATH
    • MAT 246 - Spring 2014
    • (1) Using the Euclidean Algorithm prove that if gcdpa, bq 1 and a|c, b|c then ab|c. (2) Using the Euclidean Algorithm find gcdp291, 573q and integer x, y such that 291x ` 573y gcdp291, 573q. 1
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    hw4.pdf

  • 2 pages notes 2.pdf
    • notes 2.pdf
    • University of Toronto
    • ABSTRACT MATH
    • MAT 246 - Spring 2014
    • MAT246 Notes 2, . Chapter 2 and beginning of chapter 3 Useful results from chapter 1: These results may be useful for PS1. a) Prove that for any natural number n, we have n2 is even if and only if n is even. b) Let p, q and r be a prime numbers and assume
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    notes 2.pdf

  • 1 pages term2010S.pdf
    • term2010S.pdf
    • University of Toronto
    • ABSTRACT MATH
    • MAT 246 - Spring 2014
    • Mat 246H1S - Term test February 23, 2010 No calculators or other aids allowed 10 marks per question; 100 marks total Duration: 2 hours 1. Find the remainder when (5!)181 (866)332 is divided by 6. 2. Prove by induction that 2 3 n n+2 1 + 2 + 3 + + n = 2 n
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    term2010S.pdf

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