Suggested Homework Problems for Math 151 (Stewart's Early Vectors Ed.)


Chapter 0:   Pg. 15  # 1, 3, 9, 11, 15, 17, 25, 36, 61, 63, 67, 71, 83, 87, 89, 91, 99, 101 
Pg. 26 # 3, 4, 7, 9, 17, 23 Appendix D: Pg. A30 # 1, 4, 9, 19, 23, 25, 27, 29, 33, 46, 55, 63, 67, 69, 77 Section 1.1: Pg. 53 # 3, 5, 9, 13, 17, 19, 21, 25, 27, 29 Section 1.2: Pg. 60 # 1, 5, 7, 13, 15, 17, 21, 25, 31, 35, 37, 41, 43, 51, 53, 55 Also be able to do the following problem: Let A1 and B1 be the vectors (1,2) and (-3,1), respectively. Let A2 and B2 be the vectors obtained by rotating A1 and B1 by an angle of 60 degrees in the counterclockwise direction. Compute the vectors A2 and B2 and show that the dot product of A2 with B2 is the same as the dot product of A1 with B1. (Hint: express A1 and B1 in polar coordinates) Answer: A2=(-1.232, 1.866) ; B2=(-2.366, -2.098) Section 1.3 Pg. 68 # 1, 3, 7, 11, 15, 19, 25, 27, 29, 31, 34 Section 2.1 Pg. 78 # 1, 3, 5, 11 Section 2.2 Pg. 89 # 3, 5, 7, 13, 17, 21 Section 2.3 Pg. 99 # 3, 5, 6, 7, 13, 19, 23, 27, 39, 41 45, 55, 67, 71 Section 2.5 Pg. 120 # 1, 3, 9, 15, 17, 23, 29, 33, 37, 39, 43, 47 Section 2.6 Pg. 133 # 3, 11, 17, 27, 29, 35, 45, 47 Section 2.7 Pg. 143 # 1, 3, 5, 9, 11, 15, 17, 21, 23 Section 3.1 Pg. 157 # 1, 5, 7, 13, 15, 23, 33, 34, 37, 39, 41, 47, 51, 53 Section 3.2 Pg. 168 # 3, 7, 9, 15, 19, 23, 29, 37, 39, 43, 50, 53, 55, 61, 70, 72 and Pg. 353 # 1, 3, 5, 9 ----------------------------------------------------------------Exam 1 Section 3.3 Pg. 178 # 3, 7, 9, 11, 13, 17, 23 Section 3.4 Pg. 185 # 5, 7, 11, 15, 19, 21, 23, 27, 31, 33, 45 and Pg. 353 # 11, 13 Section 3.5 Pg. 192 # 3, 7, 11, 13, 27, 33, 49, 51, 57, 59, 79, 80 Section 3.6 Pg. 198 # 1, 5, 11, 13, 21, 25, 27, 33, 35, 39, 45 Section 3.7 Pg. 203 # 3, 5, 11, 13, 17, 21 Section 3.8 Pg. 208 # 1, 2, 5, 11, 17, 31, 35, 43, 46, 49, 51 Section 3.9 Pg. 214 # 3, 5, 7, 9, 13, 17, 21 Section 3.10 Pg. 221 # 5, 7, 9, 11, 15, 17, 19, 23, 27, 31, 33 Section 3.11 Pg. 227 # 3, 9, 10, 14, 23, 27, 35, 36, 38, 39, 41, 45 Section 4.1 Pg. 248 # 3, 6, 7, 10, 17, 21, 25, 27, 29, 31, 35 43, 47, 49, 59 Section 4.2 Pg. 256 # 3, 5, 7, 11, 13, 15, 19, 23, 25, 31, 35 ----------------------------------------------------------------Exam 2 Section 4.3 Pg. 262 # 3, 7, 11, 19, 21, 25, 29, 39, 43, 45, 51 61, 70, 73, 79, 87 Section 4.4 Pg. 269 # 3, 7, 9, 13, 19, 27, 35, 39, 51, 59 Section 4.5 Pg. 274 # 3, 5a), 9, 11, 13, 15, 19, 21 Section 4.6 Pg. 281 # 3, 9, 17, 23, 27, 31, 35, 45, 51, 53, 65, 66 Section 4.8 Pg. 295 # 3, 9, 13, 17, 19, 25, 39, 41, 47, 55, 57, 61, 65 Section 5.1 Pg. 305 # 1, 3, 5, 11, 13, 17, 19, 21 Section 5.2 Pg. 312 # 3, 7, 11, 17, 19, 25, 27, 31, 37, 39, 41, 43, 45 Section 5.3 Pg. 322 # 1, 5, 7, 9, 13, 17, 19, 21, 35, 43, 45 Section 5.5 Pg. 337 # 1, 5, 7, 9, 13, 17, 19, 23, 27, 29, 31, 33, 39 Section 5.7 Pg. 353 # 3, 7, 9, 15, 17, 21, 23, 27, 31, 37, 39, 41, 43, 45, 49, 59, 61, 65, 71, 73, 79 Section 6.1 Pg. 368 # 5, 9, 19, 25, 41 b), 43 Note: it is not necessary to memorize the summation formulas Section 6.2 Pg. 377 # 1, 5, 13, 15 (at least be able to set up the the Riemann sum for 13 and 15), 23 Section 6.3 Pg. 386 # 7, 11, 17, 33, 35, 45, 47, 53, 55 ----------------------------------------------------------------Exam 3 Section 6.4 Pg. 397 # 1, 3, 7, 9, 11, 19, 23, 27, 31, 41, 47, 51, 57, 73, 77, 79, 83, 93, 95

Last updated 8/19/09