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Calculus III • • • 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. Course Grade: Your course final grade will be computed as follows: - In-Class quizzes will count 20% - Your two highest midterms will count each 20% - The final exam will count 40% - Letter grades: 90-100=A 80-89=B 70-79=C 60-69=D - Pluses and Minuses will be assigned at the discretion of the instructor.