# Calculus II

Class Schedule: MWF 10:00-10:53, Harriman Hall.

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 Topic Worksheet Reading Date Practice Problems Lecture 1 Logistics, What is Calculus? NA Jan 23 NA Lecture 2 Fundamental Theorem of Calculus Worksheet 1 5.1-5.4 Jan 25 Lecture 3 The Substitution Rule Worksheet 2 5.5 Jan 27 Lecture 4 The Substitution Rule (cont.) and Integration by Parts Worksheet 3 5.5, 5.6 Jan 30 Practice Problems I Lecture 5 Integration by Parts (cont.) and Partial Fractions 5.6, 5.7 Feb 1 Lecture 6 Partial Fractions Workshhet 4 5.7 Feb 3 Lecture 7 Partial Fraction+Area between Curves 5.7, 6.1 Feb 6 Practice Problems II Lecture 8 Area Between Curves Worksheet 5 6.1 Feb 8 Lecture 9 Area enclosed by Parametric Curves and Volume Worksheet 6 6.1-6.2 Feb 10 Lecture 10 Solids of Revolution Worksheet 7 6.2 Feb 13 NA Lecture 11 Solids of Revolution (Shell Method) Worksheet 8 6.3 Feb 15 Lecture 12 Arc Length Worksheet 9 6.4 Feb 17 Lecture 13 Average Value and Applications to Physics Worksheet 10 6.5, 6.6 Feb 20 Practice Problems III Lecture 14 Applications to Physics 6.6 Feb 22 Lecture 15 Probability and Improper Integrals Worksheet 11 5.10, 6.8 Feb 24 Lecture 16 Improper Integrals 5.10 Feb 27 Lecture 17 Improper Integrals Worksheet 12 5.10 Mar 1 Lecture 18 Introduction  to Series, Geometric Series Worksheet 13 8.2 Mar 3 Lecture 19 Convergence and Divergence of Sequences No Worksheet 8.1 Mar 6 Lecture 20 The Divergence Test and Comparison with Improper Integrals No Worksheet 8.2, 8.3 Mar 8 Lecture 21 The Comparison and the Limit Comparison Tests Worksheet 14 8.3 Mar 20 Lecture 22 Other Convergence Tests (I) Worksheet 15 8.4 Mar 22 Lecture 23 Other Convergence Tests (II) 8.4 Mar 24 Lecture 24 Estimating the Error for Series Worksheet 16 8.3, 8.4 Mar 27 Lecture 25 Power Series Worksheet 17 8.5 Mar 29 Lecture 26 Power Series representations of Functions (I) Worksheet 18 8.6 Mar 31 Lecture 27 Power Series representations of Functions (II) 8.6 Apr 3 Lecture 28 Taylor and Maclaurin Series (I) Worksheet 19 8.7 Apr 5 Lecture 29 Taylor and Maclaurin Series (II) 8.7 Apr 10 Lecture 30 Taylor and Maclaurin Series (III) 8.7 Apr 12 Lecture 31 Taylor Polynomials and Approximations Worksheet 20 8.8 Apr 14 Lecture 32 Differential Equations Worksheet 21 7.1 Apr 17 Lecture 33 Differential Equations and Modeling Worksheet 22 7.1,7.3 Apr 19 Lecture 34 Separable Differential Equations Worksheet 23 7.3 Apr 21 Lecture 35 Second-Order Homogeneous Linear Differential Equations with Constant Coefficients (I) Worksheet 24 Notes Apr 24 Lecture 36 Second-Order Homogeneous Linear Differential Equations with Constant Coefficients (II) Apr 26 Lecture 37 Second-Order Homogeneous Linear Differential Equations with Constant Coefficients (III) Apr 28 Lecture 38 First-Order Linear Differential Equations Worksheet 25 Notes May 1 NA