Spring 2003

Mathematics Math21a Spring 2003

Multivariable Calculus

 Challenge problems are an option for the project part. They are not turned in with the regular homework. ```----------------------------------------------- Week 1: Geometry of Space (Challenge problems) ----------------------------------------------- assigned due in hour section numbers 1 9.1 2, 8, 10 2/5 rsp. 2/6 14, 34 . 2 9.2 20, 34 2/7 rsp 2/11 9.3 18, 34, 38 . 3 9.4 16, 18, 26 2/10 rsp 2/11 32, 34 . Solutions Week 1 (For questions about the posted solutions, contact Jonathan (guberman@fas)). ``` ```----------------------------------------------- Week 2: Lines, Planes, Functions (Challenge problems) ----------------------------------------------- assigned due in hour section numbers 1 9.5 6, 8, 20 2/12 rsp. 2/13 26, 36 . 2 9.5 46, 48, 52, 2/14 rsp. 2/18 9.6 4, 18 . 3 9.6 16, 20, 22 2/19 rsp. 2/18 26, 32 . ``` Solutions Week 2 ```----------------------------------------------- Week 3: Curves (Challenge problems) ----------------------------------------------- assigned due in hour section numbers 1 - Holyday (Presidents day) 2 10.1 18,28 2/21 rsp 2/20 10.2 10,18,46 3 10.3 2,4,22 2/24 rsp 2/25 10.4 12,34 ``` Solutions Week 3 ```----------------------------------------------- Week 4: Surfaces (Challenge problems) ----------------------------------------------- assigned due in hour section numbers 1 9.7 6,10,16,20,22 2/26 rsp 2/27 2 10.5 4,11-16,18,22,32a 2/28 rsp 3/4 3 11.1 18, 24, 31-36, 2/3 rsp 3/4 11.2 28, 34 ``` Solutions Week 4 ```----------------------------------------------- Week 5: Partial derivatives (Challenge problems) ----------------------------------------------- assigned due in hour section numbers 1 11.3 48, 62, 66, 70, 76 3/5 rsp 3/6 you can skip 76d) 2 11.4 4, 12, 28, 30, 40 3/7 rsp 3/11 (*) 3 Review for midterm Solutions Week 5 ----------------------------------------------- Week 6: Chain Rule (Challenge problems) ----------------------------------------------- assigned due in hour section numbers 1 11.5 6, 18, 24, 28, 30 3/12 rsp 3/13 2 11.5 32, 42, 43 3/14 rsp 3/18 11.6 8, 18 3 11.6 20, 26, 30, 42, 44 3/17 rsp 3/18 Solutions Week 6 ----------------------------------------------- Week 7: Extrema (Challenge problems) ----------------------------------------------- assigned due in hour section numbers 1 11.7 4, 8, 12, 16, 26 3/19 rsp 3/20 2 11.8 8, 10, 24, 42a,42b 3/21 rsp 4/1 3 11.8 6, 12, 18, 19, 36 3/31 rsp 4/1 Solutions Week 7 ----------------------------------------------- Week 8: Double Integrals (Challenge problems) ----------------------------------------------- assigned due in hour section numbers 1 12.1 14, 18 4/2 rsp 4/3 12.2 4, 14, 20 2 12.3 10, 14, 22 4/4 rsp 4/8 12.4 10, 12 3 12.3 30, 36 4/7 rsp 4/8 12.6 8, 10, 22 Solutions Week 8 ----------------------------------------------- Week 9: Triple Integrals (Challenge problems) ----------------------------------------------- assigned due in hour section numbers 1 12.7 4, 16, 24 4/9 rsp 4/10 34, 46 2 12.8 4, 8, 10 4/11 rsp 4/15 20, 32 3 12.9 4, 10, 22 4/14 rsp 4/15 12.8 30, 16 Solutions Week 9 ----------------------------------------------- Week 10: Line Integrals (Challenge problems) ----------------------------------------------- assigned due in hour section numbers 1 13.1 4,6,28,29-32,34 4/16 rsp. 4/17 Solutions 13.1 2 13.2 10,14,16,18,38 4/18 rsp. 4/22 3 13.3 6,16,20,22,26 4/21 rsp. 4/22 Solutions 13.2-13.3 ----------------------------------------------- Week 11: Integral Theorems I (Challenge problems) ----------------------------------------------- assigned due in hour section numbers 1 Review No homework due to exam 2 13.4 2, 8, 18, 20, 22 4/25 rsp. 4/29 3 13.5 4, 6, 10, 14, 34 4/28 rsp. 4/29 Solutions Week 11 ----------------------------------------------- Week 12: Integral Theorems II (Challenge problems) ----------------------------------------------- assigned due in hour section numbers 1 13.6 4, 8, 14, 34, 42 4/30 rsp 5/1 2 13.7 2, 10, 12, 14, 18 5/2 rsp 5/4 (12 b,c with CAS are optional) 3 13.8 2, 4, 6, 20, 22 5/3 rsp 5/4 Solutions Week 12 ----------------------------------------------- ```