Calculus II

 

Text: James Stewart, Calculus, 5th edition, Brooks/Cole, 2003.

7.1 Inverse Functions: (odd only) 3,7-21,25-29,35,39-43

7.2 Exponential Functions and Their Derivatives: (odd only) 7-11,15,17,21-45,51,71-77,83

7.3 Logarithmic Functions: (odd only, unless explicitly mentioned otherwise) 3-19,23-37,41-45,51-69,74

7.4 Derivatives of Logarithmic Functions: (odd) 3-35,39-49,51,65-77,85

7.5 Inverse Trigonometric Functions: (odd) 1-9,23-33,59-69

7.7 Indeterminate Forms and L'Hospital's Rule: (odd) 1-31

7.7 Indeterminate Forms and L'Hospital's Rule: (odd) 33-65

8.1 Integration by parts: (odd) 1-11,15-31

8.2 Trigonometric Integrals: (odd) 1-45

8.3 Trigonometric Substitution: (odd) 1-27

8.4 Integration of Rational Functions by Partial Fractions: (odd) 5-41

8.5 Strategy for Integration: (odd) 5-13,19,23,31,33,37,41

8.5 Strategy for Integration: (odd) 43,47,51,63,71,73, and 8.8 Improper integrals: (odd) 1-7

8.8 Improper Integrals: (odd) 9-37

Exam I

9.1 Arc Length: (odd) 7-13,17-21

9.2 Area of a Surface of Revolution: (odd) 1-9

9.2 Area of a surface of Revolution: (odd) 15-19

9.3 Applications to Physics and Engineering: 1,11,13,19,21,23,25,27,29

9.4 Applications to Economics and Biology: 3,5,10,15

9.5 Probability: 1,5,6,7,9

11.1 Curves Defined by Parametric Equations: 1,3,4,5,7,9,11,13,19,21

11.2 Calculus with Parametric Curves: 1,3,5,7,11,13,31,33,35

11.2 Calculus with Parametric Curves: 37,39,41,45,57,59,61,65

11.3 Polar Coordinates: (odd only) 1-45

11.4 Areas and Lengths in Polar Coordinates: (odd) 1-41

11.5 Conic Sections: (odd) 1-47

11.6 Conic Sections in Polar Coordinates: (odd) 1-15

Exam II

12.1 Sequences: (odd) 3-37

12.2 Series: (odd) 9-39

12.3 The Integral Test and Estimates of Sums: (odd) 3-21

12.4 The Comparison Tests: (odd) 3-31

12.5 Alternating Series: (odd) 5-19

12.6 Absolute Convergence and the Ratio and Root Test: (odd) 3-33

12.7 Strategy for Testing Series: (odd) 1-37

12.8 Power Series: (odd) 3-23

12.9 Representations of Functions as Power Series: (odd) 3-19

12.10 Taylor and Maclaurin Series: (odd) 3,5,9-15

12.11 The binomial Series: (odd) 1-7,11

Exam III