Math 132 Syllabus --- Spring 2010

Date Topic Chapter Optional problems
Jan. 20 Area under a curve 23 p. 194: 4
Jan. 22 The definite integral 23 p. 194: 1, 2, 3, 9, 10, 11, 14
Jan. 25 The fundamental theorem of calculus 24 p. 200: 8-16
Jan. 27 The mean value theorem 24 p. 200: 3, 33
Jan. 29 Indefinite integrals 22 p. 183: 1-8, 19, 22, 65-68
Feb. 1 Substitutions 22, 24 p. 183: 9-18, 23-27, 45-62; p. 200: 1, 17-22, 34
Feb. 3 The natural logarithm 25 p. 209: 5, 9, 11-14
Feb. 5 Exponential functions 26 p. 218: 3, 9, 13, 24
Feb. 8 Exponential growth and decay 28 p. 231: 1-21
Feb. 10 Exam 1 review . .
Feb. 12 Arc length 29 p. 239: 7-9, 13
Feb. 15 Volume 30 p. 249: 1-3, 5, 12, 13, 27-32
Feb. 17 Volume II 30 p. 249: 4, 6, 14-26, 33-50
Feb. 19 Integration by parts 31 p. 261: 1, 3-5, 9, 10, 14
Feb. 22 Integration by parts II 31 p. 261: 15, 18, 19, 21, 22, 27-29
Feb. 24 Trigonometric integrals 32 p. 270: 1-12, 18, 19, 29-41, 47-49
Feb. 26 Trigonometric substitutions 32 p. 270: 24-28, 57-71
Mar. 1 Partial fractions 33 p. 284: 1-4, 7-13
Mar. 3 Partial fractions II 33 p. 284: 5, 14-16, 20, 21
Mar. 5 Advanced substitutions 34 p. 288: 1-3, 7-10, 14-17, 23-30
Mar. 8 -- 12 Spring break . .
Mar. 15 (no class) . .
Mar. 17 Exam 2 review . .
Mar. 19 Improper integrals 35 p. 294: 1-23
Mar. 22 Area of a surface of revolution 36 p. 301: 1-10, 12-22
Mar. 24 Parametric curves 37 p. 308: 1-22
Mar. 26 Infinite sequences 42 p. 355: 1-3
Mar. 29 (no class) . .
Mar. 31 Infinite series 43 p. 362: 1-9, 12-14
Apr. 2 Integral test 44 p. 368: 1, 2, 8, 15, 22, 29, 30, 31
Apr. 5 Comparison test 44 p. 368: 3-7, 12-14, 16-21, 23-29
Apr. 7 Alternating series 45 p. 377: 2-8, 10-12, 24-40
Apr. 9 Ratio and root tests 45 p. 377: 9, 13, 16-23, 44-49
Apr. 12 Power series 46 p. 388: 1-3, 10-12, 19, 24-31, 39, 40
Apr. 14 Exam 3 review 45 .
Apr. 16 Uniform convergence 46 .
Apr. 19 Taylor series 47 p. 400: 1-3, 13
Apr. 21 Taylor's formula 47 p. 400: 4, 5, 8, 10, 12, 14, 15
Apr. 23 Separable differential equations 59 p. 517: 4-6, 13, 17, 39 (a,b,c,e,f)
Apr. 26 Integrating factors 59 p. 517: 12-19, 39 (k,l)
Apr. 28 Series solutions 59 anything from Apr. 23 & 26, solve using series
Apr. 30 Course review . .
May 6 Final exam, 3:30 -- 5:30 pm . .

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