Course Outline - MATH 138 Calculus II Winter 2015 Course...

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MATH 138 Calculus II Winter 2015 Course objectives. This course is to further expand your knowledge of calculus of one-variable functions. The goal is to continue where left off in Calculus I (MATH137) on integration. Various methods of integration will be introduced and applications of integration will be investigated: these will include areas between two curves, volumes of solids of revolution and the average value of a function. An introduction to Differential Equations will then follow: we will study how to solve separable differential equations and linear differential equations. We will then begin a different topic: sequences and series. Various tests of summation will be introduced. We will then concentrate on a special type of series, the power series and look their possible applications. Finally the course will conclude with the study of parametric curves and conic sections. Tentative Course Schedule Week Dates Text Sections Topics Events 1 Jan 5–9 5.3, 5.5, 7.1, 7.2 Review of Integration, Integration by Parts TUT 2 Jan 12–16 7.3, 7.4, 7.5 Trigonometric Substitution, Partial Fractions A1 due 3 Jan 19–23* 6.1, 6.2, 6.3, 6.5 Areas, Volumes, Average Value of a Function A2 due 4 Jan 26–30 7.8, 9.1, 9.2 Improper Integrals, Intro. to DEs A3 due 5 Feb 2–6 9.3, 9.4 Separable DEs A4 due 6 Feb 9–13 9.15, 11.1 Linear DEs, Sequences A5 due Feb 16–20 READING WEEK 7 Feb 23–27 •• 11.2, 11.3 Series, Integral Test midterm •• 8 Mar 2–6 11.4, 11.5 Comparison Test, Alternating Series Test A6 due 9 Mar 9–13 11.6, 11.7, 11.8 Abs. Conv., Ratio/Root Test, Power Series A7 due 10 Mar 16–20 11.9–11.10 Taylor and MacLaurin Series A8 due 11 Mar 23–27 11.10, 11.11 Taylor Series con’t, Applications of Series A9 due 12 Mar 30– Apr 3 10.1, 10.2, 10.5 Parametric Curves, Conic Sections A10 due 13 Apr 6 10.5 Conic Sections A11 not due * Drop date, no penalty ends Jan 23 ** Deadline for 50% tuition refund Feb 20.

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