### Math 221, Lecture 006, Fall 2010 homework

Chapter, section, and page numbers refer to Thomas, 12th ed.

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 lecture date section(s) topic(s) homework 1 Fri. 09/03 1.1-1.3 Functions p. 11: 1, 4, 6, 13, 21, 22, 24, 27, 30, 52, 58, 72 p. 19: 2, 5, 9, 12, 15, 17, 20, 23, 24, 56, 82, 85 p. 28: 9, 11, 52, 14, 15, 20, 24, 30 (just the domain and range part), 31, 2 Wed. 09/08 2.2 Limits p. 54: 3, 9, 14, 22, 26, 36, 65a, 80 3 Fri. 09/10 2.4 One sided limits p. 71: 2, 9, 15, 20, 21, 24, 29, 34, 36, 40, 44, 4 Mon. 09/13 2.5 Continuity p. 82: 5, 7, 15, 17, 19, 33, 39, 41, 53, 57, 61 5 Wed. 09/15 2.6 Limits involving infinity p. 94, 1, 5, 7, 11, 21, 35, 43, 45, 49, 55, 61, 67, 71, 81 6 Fri. 09/17 2.1, 3.1 Derivative at a point p. 44: 3, 21 p. 105: 5, 7, 13-27 odd 7 Mon. 09/20 3.2 Derivative as a function P. 113: 3, 11, 17, 23, 27-30, 31, 32, 37, 41, 47, 49, 53 8 Wed. 09/22 3.3 Differentiation Rules p. 122: 3, 9, 11, 21, 23, 41, 51, 55 9 Fri. 09/24 3.4 Derivative as a rate of change P. 132: 1, 9, 15, 17, 21, 23, 27 3.5 Derivatives of Trig functions p. 139: 3, 7, 17, 25, 47, 49, 51 10 Mon. 09/27 3.6 Chain Rule P. 147: 5, 11, 17, 29, 33, 39, 51, 67, 73, 79, 83, 85 11 Wed. 09/29 3.7 Implicit Differentiation P. 153: 7, 11, 23, 25, 27, 37, 39, 43, 45 12 Fri. 10/1 3.8 Related Rates P. 160: 3, 7, 11, 17, 19, 21, 23, 33, 39, 41 13 Mon. 10/04 3.9 Linearization P. 173: 3, 5, 9, 11, 15, 21, 23, 27, 31, 39, 45. Think about, but do not hand in, 53. 14 Wed. 10/06 4.1 Max and Min P. 189: 1, 3, 7, 11-14, 19, 29, 33, 39, 47, 49, 51, 55, 61, 75 15 Friday. 10/08 --- Review for First Midterm None. 16 Monday 10/11 --- First Midterm None. 17 Wed. 10/13 4.2 Mean Value Theorem P. 196, 1, 5, 7, 9, 11, 13, 19, 23, 25, 27, 29, 31, 35, 43, 51 18 Fri. 10/15 4.3 Monotonicity and 1st derivates P. 201: 1, 7, 13, 15, 17, 29, 35, 47, 51, 63, 65, 69 19 Mon. 10/18 4.4 Concavity P. 211: 3, 5, 15, 25, 27, 31, 37, 45, 53, 57, 71, 73, 79, 87, 97 20 Wed. 10/20 4.5 Optimization P. 219: 1, 3, 7, 13, 15, 19, 29, 31, 37, 39, 55 21 Fri. 10/22 4.6 Newton's Method P. 228: 1-11 odd, 19, 21. 22 Mon. 10/25 4.7 Antiderivatives P. 236: 3, 7, 9, 13, 23, 33, 43, 49, 53, 55, 57, 65, 77, 79, 85, 87, 89, 97 23 Wed. 10/27 5.1 Area and estimating with finite sums P. 253: 1, 7, 11, 13, 17, 19 24 Fri. 10/29 5.2 Sigma notation and limits of finite sums P. 261: 1, 5, 7, 9, 11, 15, 17, 19, 21, 27, 29, 31, 41, 43, 45 25 Mon. 11/1 5.3 The Definite Integral P. 270: 1, 3, 5, 7, 11, 15, 19, 21, 27, 33, 37, 51, 61, 69, 71, 75 26 Wed. 11/3 5.4 The fundamental theorem of calculus P. 282: 7, 9, 13, 17, 21, 25, 27, 29, 31, 35, 37, 41, 47, 49, 51, 61, 63 27 Fri. 11/5 5.5 Indefinite integrals and the substitution method P. 290: 5, 9, 13, 15, 17, 19, 21, 25, 31, 35, 47, 55, 59, 61, 63 28 Mon. 11/08 5.6 Substitution and Area between Curves P. 297: 1, 3, 5, 11, 23, 29, 31, 33, 35, 37, 43, 49, 53, 63, 69, 79 29 Wed. 11/10 --- Review Session None 30 Fri. 11/12 --- Exam II (4.1-5.6) None 31 Mon. 11/15 6.1 Volumes via cross sections P. 316: 1, 3, 4, 11, 12, 15, 17, 19, 23, 33, 45, 49, 51, 55 32 Wed. 11/17 6.2 Volumes using cylindrical shells P. 324: 1, 3, 5, 11, 15, 19, 23, 27, 31, 37 33 Fri. 11/19 6.3 Arc Length P. 330: 1-17 odd, 19a 34 Mon. 11/22 6.4 Volumes using cylindrical shells P. 335: 1-7 odd (only part a), 13-21 odd, 25 35 Wed. 11/24 6.5-6.6 Fluid Forces and Center of Mass P. 342: 31, 39, 41 Fri. 11/26 No Class P. 355: 1, 5, 13, 15, 27 36 Mon. 11/29 7.1 Inverse Functions and their Derivatives P. 367: 1-6, 9, 13, 15, 19, 25-33 odd, 39, 41, 45, 49, 55 37 Wed. 12/01 7.2-7.3 Natural Logarithms P. 375: 1, 3, 5, 9, 15, 23, 31, 33, 35, 37, 39, 41, 43, 45, 47, 51, 53, 57, 61, 63, 67, 69a, 81 38 Fri. 12/03 7.2-7.3 Exponentials P. 385: 1, 7, 13, 15, 17, 23, 29, 31, 37, 41, 47, 49, 55, 63, 77, 83, 91, 97, 107, 111, 115 39 Mon. 12/06 7.4 Differential Equations P. 394: 1-21 (odd), 25, 29, 33, 35, 39, 43 40 Wed. 12/08 7.5 Indeterminate Forms and L'Hopital's rule P. 402: 3, 9, 13, 21, 27, 39, 41, 43, 49, 51-63 (odd), 67, 75, 77 41 Fri. 12/10 7.6 Inverse Trigonometric Functions P. 413: 1, 7, 9, 11, 13, 15, 23, 25, 39, 43, 45, 57, 51, 53, 63, 65, 75, 85, 89, 91, 93 42 Mon. 12/13 7.7 Hyperbolic Functions P. 421: 1, 5, 9, 19, 21, 23, 31, 35, 39, 45-55(odd), 69, 71 43 Wed. 12/15 --- Exam III (6.1-7.7)