MATH 138 Winter 2017 Course Outline - University of...

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University of Waterloo MATH 138 Calculus II for Honours Mathematics Winter 2017 Course objectives. The goal of this course is to further expand your knowledge of calculus and its applications for one-variable functions. The course can broadly be split into four parts. First, we will continue where Calculus I (MATH 137) left off with more integration techniques as well as applications including finding the area between two curves, volumes of solids of revolution, and the average value of a function. Secondly, we will examine differential equations: we will study how to solve separable differential equations and linear differential equations as well as their applications. Thirdly, we investigate sequences and series. Various tests of convergence will be introduced for series of numbers. Then, we study power series with a focus on Taylor series and look at their applications. The course will conclude with the study of parametric curves and, time permitting, polar coordinates and conic sections. Tentative Course Schedule Week Dates Text Sections Topics Events 1 Jan 3–6 5.3, 5.5, 7.1 Review of Integration, Integration by Parts 2 Jan 9–13 7.2, 7.3, 7.4 Trigonometric Integrals, Partial Fractions A1 due 3 Jan 16–20 7.5, 6.2, 6.3, 6.5 Volumes, Average Value of a Function A2 due 4 Jan 23–27* 7.8, 9.1, 9.2 Improper Integrals, Intro. to DEs A3 due 5 Jan 30–Feb 3 9.3, 9.5 Separable DEs, Linear DEs A4 due 6 Feb 6–10 9.4, 11.1 Population Models, Sequences A5 due 7 Feb 13 –17 11.2, 11.3 Series, Integral Test midterm 8 Feb 20–24** READING WEEK 9 Feb 27–Mar 3 11.4, 11.5 Comparison Test, Alternating Series Test A6 due 10 Mar 6–10 11.6, 11.7, 11.8 Abs. Conv., Ratio/Root Test, Power Series A7 due 11 Mar 13–17 11.9, 11.10 Power, Taylor, and Maclaurin Series A8 due 12 Mar 20–24 11.10, 11.11 Applications of Series, Taylor Polynomials A9 due 13 Mar 27–31 11.11, 10.1 10.2 Taylor Polynomials, Parametric Curves A10 due 14 Apr 3 10.5 Conics * 100% tuition refund deadline Jan 23 rd ** 50% tuition refund deadline Feb 21 st

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