# Calculus III • Text: Calculus, Early Transcendentals • Author: Howard

```Calculus III
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Text: Calculus, Early Transcendentals
Author: Howard Anton, Irl Bivens, and Stephen Davis
ISBN: 0-471-38156-X
Week
Topics
Sections
8.5, 8.6
1
Numerical Integration; Simpson's Rule
8.5: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 25, 29,
35, 37
8.6: 1, 3, 5, 13, 19, 21, 25, 31, 33, 37, 41,
47, 53, 63, 73, 77, 79, 83, 85
Integrating Rational Functions by Partial Fractions; Using Tables
of Integrals and Computer Algebra Systems
2
Assigned Problems
8.7, 8.8
8.7: 1, 3, 5, 19, 21, 23, 25, 33, 35, 37
8.8: 1, 3, 5, 7, 9, 11, 13, 15, 29, 31, 33,
37,17, 19, 21, 23, 25, 27, 40
Improper Integrals
3
Exam
Review for exam
1
9.1, 9.2
4
First Order differential Equations and Applications; Direction
Fields; Euler's Method
9.1: 1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 25, 27,
29, 33, 43, 49
9.2: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19
9.3, 10.1 9.3: 1, 3, 15, 17, 19, 21, 23, 25, 31, 33, 45
5
10.1: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21,
25, 29
Modeling with Differential Equations; Sequences
Exam
Review for exam, Monotone Sequences
2
10.2,10.3 10.2: 1, 3, 5, 9, 11, 13, 23, 25, 27, 29, 35,
37, 39
10.3: 1, 3, 5, 7, 9, 11, 13, 15, 21, 25, 29
6
Infinite Series; Convergence Tests;
10.4-10.6 10.4: 1, 3, 5, 7, 9, 15, 17, 19, 23, 27, 29,
33
10.5: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21,
23, 25, 27
The Comparison, Ratio, and Root Tests
10.6: 1, 3, 5, 7, 9, 11, 13, 15, 21, 23, 25,
29, 33, 35, 39, 45
Alternating Series; Conditional Convergence
7
10.7,10.8
10.7: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21,
23, 29
10.8: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19,21,
25, 29
Taylor and Maclaurin Series; Power Series
8
Differentiating and Integrating Power Series;
10.10
Exam
Review for exam. Modeling with Taylor Series
3
9
Polar Coordinates; Tangent Lines and
10.10: 1, 5, 7, 9, 11, 15, 17, 19, 21, 23
11.1,
11.2
11.1: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21,
23, 25, 29, 41
11.2: 1, 5, 7, 9, 11, 13, 15, 19, 21, 23, 25,
27, 33
11.3
10
Areas in Polar Coordinates; Review for Final
11.3: 1, 3, 5, 7, 11, 13, 15, 17, 21, 23, 27,
29
Homework: The assigned problems indicate the more important concepts and techniques
that you are expected to master. Some of these problems will be discussed
in the lectures. These problems are not to be turned or graded. But it is important
that you work those problems regularly.
In-Class Quizzes: There will be In-Class quizzes, which will cover material discussed
up to that point in the class. There will be no make ups for the quizzes.
Exams: There will be 3 midterm exams. The exams will be on Wednesday 04/15,
04/29 and 05/20 in the class. Each exam will cover the material discussed up to that
point.