CSU Fullerton, Fall 2014, Mr. Scott Math 150B, Calculus Text: Stewart, James, Calculus, Early Transcendentals, 2e (Custom 2013) ISBN: 978-1-285-10734-9 Ch. 6 Techniques of Integration Section 6.1 Integration by Parts 6.2 Trigonometric Integrals and Substitutions 6.3 Partial Fractions 6.4 Integration with Tables and Computer Algebra Systems 6.5 Approximate Integration 6.6 Improper Integrals Ch. 7 Applications of Integration Section 7.1 Areas Between Curves 7.2 Volumes 7.3 Volumes by Cylindrical Shells 7.4 Arc Length 7.5 Area of a Surface of Revolution 7.6 Applications to Physics and Engineering 7.7 Differential Equations Ch. 8 Series Section 8.1 Sequences 8.2 Series 8.3 The Integral and Comparison Tests 8.4 Other Convergence Tests 8.5 Power Series 8.6 Representing Functions as Power Series 8.7 Taylor and Maclaurin Series 8.8 Applications of Taylor Polynomials Assignment 1, 3, 5, 7, 8, 9, 12, 13, 14, 15, 19, 23, 25, 32, 35, 39, 42 3k − 1, k = 1, 2, . . . ,12 , 43-59 odd, 66 7, 8, 9, 11, 13, 14, 16, 17, 23, 27, 35, 39, 43 1, 5, 9, 17, 19, 27-31 odd, 34 4, 5, 7, 10, 15, 17, 19, 21, 29, 33 1, 2, 3, 4, 5, 7, 11, 13, 17, 21, 24, 27, 41-45 odd, 53, 54 Assignment 1-4, 5-19 odd, 21, 23, 26, 30, 31 1-11 odd, 13-17 odd, 21, 23, 31, 33, 36, 39 1, 2, 3-7 odd, 9-13 odd, 15, 17, 21, 25, 33-37 odd 3, 4, 6, 7-17 odd, 25, 26, 29, 30, 31, 35 1, 3, 5-9 odd, 13, 15, 17 3, 4, 5, 7, 9, 11, 13, 17, 21, 25, 27, 29, 31, 32, 41, 42, 45 1-13 odd, 17, 21-24, 25, 26, 35, 39, 43, 45 Assignment 1-4, 9-31 odd, 35, 37-40 1, 2, 3-6, 7-11 odd, 13-23 odd, 25-27, 35-37, 43 3, 4, 5, 11-29 odd, 31, 32, 34, 35, 42, 43 3-7 odd, 9-12, 19-39 odd, 43, 46 1, 2, 3-21 odd, 29, 30, 31 3-10, 11, 12, 13, 15-19 odd, 25, 27, 28, 29, 31, 35, 37 2, 3, 4, 5-9 odd, 11-17 odd, 23, 25, 27-35 odd, 43, 45, 47-50, 59, 61, 63, 64 1, 3, 5, 7, 8, 11, 13, 15, 23, 24, 25, 27 Ch. 9 Parametric Equations and Polar Coordinates Section Assignment 9.1 Parametric Curves 1, 5, 7, 9, 11, 14, 22, 23, 27, 28, 31, 37, 41 9.2 Calculus with Parametric Curves 1, 3, 5, 9, 11, 13, 15, 23, 27, 29, 33-36, 37, 39, 51 9.3 Polar Coordinates 1-6, 7-11 odd, 13, 15, 17-20, 23, 31, 35, 47 9.4 Areas and Lengths in Polar Coordinates 1, 3, 5-8, 11, 13, 15, 17, 19, 21, 22, 25, 29, 31, 34 9.5 Conic Sections in Polar Coordinates 1-8, 9-15 odd, 19, 20, 21, 22, 23 Useful Websites: http://www.wolframalpha.com/ http://tutorial.math.lamar.edu/ http://ocw.mit.edu/OcwWeb/Mathematics/18-01Fall-2005/CourseHome/index.htm http://faculty.eicc.edu/bwood/ma155supplemental/supplementalma155.html
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