Calculus III

Final exam (for both sections): Thursday June 11 3:30-5:30PM Disque 103

No class Monday June 6

Week Topics Sections Assigned Problems
1 Integrating Rational Functions by Partial Fractions; Using Tables of Integrals and Computer Algebra Systems 8.5, 8.6 p 554: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 25, 29, 35, 37
p 563: 1, 3, 5, 13, 19, 21, 25, 31, 33, 37, 41, 47, 53, 63, 73, 77, 79, 83, 85
2 Numerical Integration; Simpson's Rule 8.7, 8.8 p 576: 1, 3, 5, 19, 21, 23, 25, 33, 35, 37
Improper Integrals p 585: 1, 3, 5, 7, 9, 11, 13, 15, 29, 31, 33, 37,17, 19, 21, 23, 25, 27, 40
3 Exam 1
4 First Order differential Equations and Applications; Direction Fields; Euler's Method 9.1, 9.2 p 605: 1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 25, 27, 29, 33, 43, 49
p 613: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19
4 Modeling with Differential Equations; Maclaurin and Taylor Polynomial Approximations 9.3, 10.1 p 622: 1, 3, 15, 17, 19, 21, 23, 25, 31, 33, 45
p 646: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 29
5 Sequences; 10.2,10.3
Review for exam. Monotone Sequences p 656: 1, 3, 5, 9, 11, 13, 23, 25, 27, 29, 35, 37, 39, 45
Exam 1 p 663: 1, 3, 5, 7, 9, 11, 13, 15, 21, 25, 29
6 Infinite Series; Convergence Tests; 10.4-10.6 p 670: 1, 3, 5, 7, 9, 15, 17, 19, 23, 27, 29, 33
The Comparison, Ratio, and Root Tests p 677: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27
p 684: 1, 3, 5, 7, 9, 11, 13, 15, 21, 23, 25, 29, 33, 35, 39, 45
7 Alternating Series; Conditional Convergence; Taylor and Maclaurin Series; Power Series 10.7, 10.8
p692: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 29
p700: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19,21, 25, 29, 33, 37, 45
8 Differentiating and Integrating Power Series; 10.1
Exam 2 Review for exam. Modeling with Taylor Series p717: 1, 5, 7, 9, 11, 15, 17, 19, 21, 23
9 Polar Coordinates; Tangent Lines and 11.1, 11.2 p734: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 41
p 741: 1, 5, 7, 9, 11, 13, 15, 19, 21, 23, 25, 27, 33, 35, 39, 41, 49
10 Areas in Polar Coordinates; Review for Final 11.3 p 747: 1, 3, 5, 7, 11, 13, 15, 17, 21, 23, 27, 29

Lecture Notes for section 001

Lecture Notes for section 002

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Justin R. Smith

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