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

Practice Problems IV

(solutions)

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

Practice Problems V

(solutions)

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

Practice Problems VI

(solutions)

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

Practice Problems VII

(solutions)

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

Practice Problems VIII

(solutions)

Lecture 28 Taylor and Maclaurin Series (I) Worksheet 19 8.7 Apr 5
Lecture 29 Taylor and Maclaurin Series (II) 8.7 Apr 10

Practice Problems IX

(solutions)

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

Practice Problems X

(solutions)

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

Practice Problems XI

(solutions)

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