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University of Toronto Scarborough

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UTSGMAT223H1allWinter

Simon Fraser MATH 152 Spring 2009 Midterm 2

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7 Mar 2014
50
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UTSGMAT223H1allWinter

MAT223H1 Study Guide - Midterm Guide: Asymptote

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7 Mar 2014
32
November 1, 2006, 8:30 9:20 a. m. family name given name (please print) student number. Instructions: do not open this booklet until told to do so, wri
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UTSGMAT223H1allWinter

MAT223H1 Study Guide - Midterm Guide: Riemann Sum, Maxima And Minima, Antiderivative

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7 Mar 2014
139
Instructors: m. bays, d. haskell, e. harper, c. mclean. This test paper is printed on both sides of the page. You are responsible for ensuring that you
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UTSGMAT223H1allWinter

MAT223H1 Study Guide - Midterm Guide: Parametric Equation, Trapezoidal Rule, Farad

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7 Mar 2014
43
Instructions: do not open this booklet until. Told to do so: fill in the above box, this exam contains 7 pages with a total of. /30: compute the follow
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UTSGMAT223H1allWinter

Simon Fraser MATH 150 Nov 2005 Midterm 2

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7 Mar 2014
30
@sfu. ca: do not lift up the cover page until instructed, circle your instructor. If you don"t, you lose a mark: this test is comprised of 8 pages, onc
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UTSGMAT223H1allWinter

McMaster MATH 1XX3 Winter 2013 Midterm 2

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7 Mar 2014
35
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UTSGMAT136H1allWinter

MAT133 2013 Term Test 3

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28 Feb 2014
45
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Antiderivative

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8 Apr 2013
25
Question #5 (medium): using series to approximate definite integral. Same as evaluating the indefinite integral, definite integral follows the same pro
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UTSGMAT136H1allWinter

11.10 Taylor & Maclaurin Series Question #6 (Medium)

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8 Apr 2013
25
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Ratio Test

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8 Apr 2013
23
Question #3 (medium): maclaurin series and radius of convergence. There is a handful number of equations for ( ) ( ) which can readily used. For any de
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Ratio Test

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8 Apr 2013
19
Question #1 (easy): maclaurin series and radius of convergence. Maclaurin series is exactly same as taylor series of the function at , but where. Find
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Ratio Test

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8 Apr 2013
16
Question #2 (medium): taylor series and its radius of convergence. Radius of convergence is determined using the ratio test | So any value of that make
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Taylor Series

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8 Apr 2013
20
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Antiderivative

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8 Apr 2013
17
Question #4 (medium): evaluating indefinite integral as infinite series. Any given function inside the indefinite integral can be expressed as a infini
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Partial Fraction Decomposition, Partial Function

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8 Apr 2013
21
Question #2 (medium): interval of convergence for partial fraction function. For partial fractions, consider each partial fraction as a separate geomet
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Geometric Series

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8 Apr 2013
21
Question #1 (easy): representing function into power series. To convert the function into a power series, first think of geometric series whose sum is
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UTSGMAT136H1allWinter

11.9 Function Representation as Power Series Overview

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8 Apr 2013
10
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UTSGMAT136H1allWinter

11.9 Function Representation as Power Series Question #5 (Medium)

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8 Apr 2013
19
Question #5 (medium): definite integral approximation using power series. Power series representation of the definite integral can be used to approxima
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Antiderivative

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8 Apr 2013
13
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UTSGMAT136H1allWinter

11.9 Function Representation as Power Series Question #3 (Medium)

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8 Apr 2013
13
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UTSGMAT136H1allWinter

11.8 Power Series Overview

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8 Apr 2013
12
Where "s are coefficients and is a variable. Power series: overview looks like polynomial, except with infinite terms. 3 possibilities: series converge
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Ratio Test

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8 Apr 2013
28
Question #2 (medium): radius and interval of convergence for power series. To get the radius of convergence, first put the series expression into the r
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Absolute Convergence, Alternating Series Test, Integral Test For Convergence

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8 Apr 2013
12
Question #1 (easy): determining the radius and interval of convergence. Power series contain variable in the series expression so that where "s are coe
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UTSGMAT136H1allWinter

MAT136H1 Study Guide - Midterm Guide: Ratio Test

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8 Apr 2013
14
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UTSGMAT136H1allWinter

MAT136H1 Study Guide - Quiz Guide: Ratio Test, Convergent Series

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8 Apr 2013
21
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UTSGMAT136H1allWinter

MAT136H1 Study Guide - Midterm Guide: Ratio Test

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8 Apr 2013
17
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UTSGMAT136H1allWinter

MAT136H1 Study Guide - Midterm Guide: Ratio Test, Alternating Series, Conditional Convergence

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8 Apr 2013
12
Question #3 (medium): alternating series tested using the ratio test. | means is divergent is absolutely convergent (ie. convergent) | means no conclus
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UTSGMAT136H1allWinter

MAT136H1 Study Guide - Midterm Guide: Ratio Test, Conditional Convergence

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8 Apr 2013
14
By the word ratio test, it takes and the next term expression and takes a ratio of the two so that: | means is absolutely convergent (ie. convergent) |
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UTSGMAT136H1allWinter

MAT136H1 Study Guide - Midterm Guide: Conditional Convergence, Root Test

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8 Apr 2013
10
, or means means is absolutely convergent (ie. convergent) is divergent means no conclusion can be drawn from the root test about convergence or diverg
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Alternating Series Test, Alternating Series

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8 Apr 2013
14
Question #3 (medium): number of terms in the series needed to meet the error bound. Alternating series test states that the series converges if it meet
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Alternating Series Test, Alternating Series

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8 Apr 2013
20
Question #5 (medium): making the alternating series convergent. To find the missing variable to make the alternating series convergent, keep the missin
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Alternating Series Test, Alternating Series

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8 Apr 2013
16
Question #2 (medium): converging series against alternating series test. Alternating series test states that the series converges if it meets two condi
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Alternating Series

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8 Apr 2013
13
Question #4 (medium): sum of series correct to limited decimal place. In order to determine the sum of the series exactly correct to the number of deci
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Alternating Series Test, Alternating Series

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8 Apr 2013
15
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UTSGMAT136H1allWinter

MAT136H1 Lecture Notes - Alternating Series Test

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8 Apr 2013
16
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UTSGMAT136H1allWinter

11.4 Comparison Tests Question #1 (Easy)

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8 Apr 2013
23
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UTSGMAT136H1allWinter

11.4 Comparison Tests Question #2 (Medium)

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8 Apr 2013
12
The key is to come up with a much simpler function that is obvious as to whether is it convergent or divergent. Then comparing to this simpler function
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UTSGMAT136H1allWinter

MAT136H1 Study Guide - Midterm Guide: Limit Comparison Test

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8 Apr 2013
6
Limit comparison test states that for series with positive terms and , if for a finite number , then both series converge or both series diverge. So se
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UTSGMAT136H1allWinter

MAT136H1 Study Guide - Midterm Guide: Improper Integral

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8 Apr 2013
21
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UTSGMAT136H1allWinter

MAT136H1 Study Guide - Midterm Guide: Improper Integral

OC866561 Page
8 Apr 2013
18
Question #4 (medium): estimating the sum of series and its error. Based on the first n number of terms in the series, the sum can be estimated. The err
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