Precalculus / MA 223
Homework Assignments
Instructor: Mazhar Jamil
Chapter 13: Sequence and series
Exercise 13-1 / Page 457 5, 6, 7, 11, 12, 15, 19, 21, 22, 23, 27, 29, 33, 35, 39,
41, 45, 49, 51, 53, 57, 59, 61, 67, 71,
Exercise 13-2 / Page 462 2, 5, 7, 9, 11, 12, 13, 15, 17, 21, 23, 25, 34, 35, 37
Exercise 13-3 / Page 470 1, 3, 7, 9, 10, 11, 13, 16, 17, 19, 23, 27, 29, 33
Exercise 13-4 / Page 475 3, 5, 7, 9, 13, 15, 19, 21, 23, 27, 29, 31, 33,
Exercise 13-5 / Page 481 4, 5, 6, 7, 8, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31,
33, 35, 37,
Exercise 13-6 / Page 485 (optional)1, 2, 3, 6, 8, 9, 10, 11, 12, 16, 17, 19, 21
Exercise 13-7 / Page 489 2, 3, 5, 7, 11, 12
Chapter 16: Introduction to Calculus
Exercise 16-1 / Page 573 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31,
33, 35, 39, 39
Chapter 1: Coordinate Geometry
Exercise 1-1 / Page 6 1, 7, 9, 11, 13, 15, 19, 25, 29, 33
Exercise 1-2 / Page 12 2, 5, 9, 11, 16, 19, 22, 24, 26, 27, 29, 31,
Exercise 1-3 / Page 16 3, 7, 9, 13, 15, 19, 21, 29
Exercise 1-4 / Page 23 1, 3, 5, 9, 13, 19, 23, 27, 29, 31, 35, 39, 40, 41
Exercise 1-5 / Page 27 3, 7, 15, 19, 23, 25, 27, 29, 39, 45, 53
Exercise 1-6 / Page 31 3, 9, 11, 13, 15, 19, 25, 27, 31, 33, 39, 43, 47
Exercise 1-7 / Page 35 3, 7, 9, 13, 15, 19, 21
Exercise 1-8 / Page 41 (optional)1, 3, 5, 6, 8, 11, 15
Chapter 2: Polynomials
Exercise 2-1 / Page 49 5, 7, 9, 13, 15, 19, 21, 23, 27, 29, 31, 33, 35
Exercise 2-2 / Page 55 7, 11, 15, 17, 19, 23, 25, 27, 29, 30
Exercise 2-3 / Page 60 3, 7, 9, 11, 13, 15, 23, 25, 27, 29, 31, 33, 39, 41, 43,
45, 47
Exercise 2-4 / Page 65 1, 3, 5, 7, 9, 11, 13, 17, 19, 27, 29, 31, 33, 35
Exercise 2-5 / Page 70 1, 3, 5, 9, 11, 13, 15, 19, 21, 23, 25
Exercise 2-6 / Page 75 11, 15, 17, 19, 21, 23, 25
Exercise 2-7 / Page 79 5, 7, 9
Exercise 2-8 / Page 81 1, 3, 9, 13
/ Page 82 1, 2, 3
Exercise 2-9 / Page 87 1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 27, 29, 31, 33
Exercise 3-1 / Page 97 3, 5, 7, 9, 13, 15, 21, 23, 25, 27, 29, 31, 35
Exercise 3-2 / Page 100 3, 5, 9, 11, 17, 19, 23, 25, 27, 29, 33, 35
Exercise 3-3 / Page 104 3, 7, 13, 17, 19, 25, 27, 31, 33, 37
Exercise 3-4 / Page 108 1, 2, 3, 4, 5, 6
Exercise 3-5 / Page 112 1, 3, 5, 7, 9, 11, 13, 15
Exercise 4-1 / Page121 1, 3, 5, 9, 11, 15, 17
Exercise 4-2 / Page 126 1, 3, 5, 7, 11, 13, 17, 19
Exercise 4-3 / Page 129 3, 5, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 33, 37, 41
Exercise 4-4 / Page 135 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23 (25-31 Bonus)
Exercise 4-5 / Page 142 3, 5, 11, 15, 17, 19, 21, 23, 27, 28, 29 (Chapter summary Bonus)
Exercise 5-1 / Page 150 5, 7, 9,11, 13, 15, 17,19, 21, 23, 27, 29, 31, 33, 35, 37
Exercise 5-2 / Page 154 3, 5, 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 31, 33, 35,
37, 39, 41, 43
Exercise 5-3 / Page 158 5, 11, 13, 15, 17, 19, 21, 23, 27, 29
Exercise 5-4 / Page 162 1, 5, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29
Exercise 5-5 / Page 167 3, 5, 7, 9, 15, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39
Exercise 5-6 / Page 171 3, 5, 7, 8, 9, 11, 12, 13, 15, 17, 19, 21, 23, 25, 26, 27,
29, 31, 32, 33, 35
Exercise 5-7 / Page 176 3, 7, 9, 13, 17, 21, 27, 29, 31, 33, Remaining Problems 9-37 are bonus
Exercise 5-8 / Page 181 1, 3, 5, 7, 11, 13, 15, 17, 21, 23, 25, 27, 29, 31, 33, 37, 39
Chapter 12 Vectors and determinants
Exercise 12-1 / Page 403 3, 5, 7, 9, 17, 19, 21, 25
Exercise 12-2 / Page 412 3, 5, 9, 11, 13, 19, 23, 27
Exercise 12-3 / Page 419 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 27, 33, 35
Exercise 12-4 / Page 425 3, 7, 9, 11, 13, 15, 19, 21
Exercise 12-5 / Page 431 3, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 35
Exercise 12-6 / Page 436 3, 5, 9, 11, 15, 17, 21
Exercise 12-7 / Page 441 3, 5, 7, 9, 11, 15
Exercise 12-8 / Page 445 3, 4, 5, 7, 9, 13, 17, 19
Exercise 12-9 / Page 447 1, 3, 7, 11, 13, 15, 17
Calculus I
Homework Assignment
Instructor: Mazhar Jamil
Exercise # Page # Problem #
Chapter 1: Prerequisite for Calculus:
1.1 9 1, 5, 9, 13, 17, 21, 25, 29, 33
1.2 22 3, 5, 9, 15, 17, 19, 21, 23, 25, 29, 31, 35, 37, 41, 43, 47, 49, 51, 55, 57, 59, 61, 63, 65, 71, 75, 77
1.3 40 3, 7, 11, 13, 19, 23, 29, 37, 41, 51, 55, 59, 61, 63, 65, 69, 73, 75, 77, 79, 81
1.4 52 3, 5, 9, 13, 15, 23, 25, 29, 33, 35, 39, 49, 55, 57, 59, 61, 65, 67
1.5 64 3, 5, 9, 11, 15, 17, 23, 27, 29, 31, 33, 35, 37, 39, 43, 45, 49, 59, 65
1.6 80 3, 5, 7, 9, 17, 19, 23, 27, 31, 35, 41, 43, 47, 51, 53, 57, 59, 61, 65
1.7 99 1, 5, 11, 13, 17, 21, 31, 33, 35, 37, 39, 41, 43, 49, 53, 55, 57, 61
Chapter 2: Limits and Continuity
2.1 113 1, 5, 9, 11, 13, 17, 19, 21, 25, 27, 29, 31, 39, 43, 45, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71
2.2 126 1, 3, 5, 7, 13, 15, 17, 21, 23, 25, 27, 31, 35, 39, 41, 43, 45, 49
2.3 130 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 27, 29
2.4 142 3, 7, 11, 13, 17, 19, 21, 25, 29, 31, 33, 35, 39, 43, 45, 47, 49, 57, 59, 61, 63, 69, 71, 73, 75
Chapter 3: Derivatives
3.1 177 1, 3, 7, 13, 15, 17, 19, 21, 23, 25, 27
3.2 183 3, 5, 7, 27, 29, 31, 35, 37, 39, 41, 43, 45
3.3 196 3, 7, 11, 15, 17, 21, 23, 25, 27, 31, 35, 39, 43, 49, 53, 55, 67, 69, 71
3.4 210 3, 5, 7, 11, 13, 15, 17, 19
3.5 219 3, 9, 13, 17, 19, 21, 25, 27, 29, 35, 41
3.6 227 5, 11, 13, 19, 23, 29, 31, 35, 39, 47, 49, 53, 57, 61, 63, 65, 67, 69, 71, 73, 75, 81,
3.7 237 7, 9, 13, 15, 17, 23, 25, 27, 31, 33, 35, 39, 41, 45
3.8 249 3, 5, 7, 11, 13, 17, 19, 25, 27, 29, 39, 41
Chapter 4: Application of Derivatives
4.1 270 3, 5, 13, 15, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 43, 45, 53
4.2 282 1, 3, 5, 9, 13, 15, 19, 23, 27, 29, 37, 39, 45, 49
4.3 293 5, 9, 15, 19, 21, 23, 25, 27, 31, 35, 37, 39
4.4 305 5, 9, 13, 17, 23, 27, 29, 41, 43, 45, 47
4.5 314 5, 7, 15, 17, 19, 25, 31, 37, 41, 45, 49, 51, 59, 61, 67
4.6 324 5, 7, 9, 13, 15, 19, 21, 31
4.7 339 5, 9, 11, 13, 15, 17, 19(a), (f) & (h), 21, 27, 29, 33, 35, 37, 39, 41, 43, 45, 53, 55, 59
Chapter 5: Integration
5.1 359 1, 3, 5, 9, 11, 21, 25, 29, 31, 35, 41, 43, 45, 49
5.2 371 3, 7, 9, 13, 15, 27, 29, 31, 33, 37, 41, 51, 53
5.3 378 3, 7, 9, 11, 15, 19, 21, 23, 25, 31, 33, 35
5.4 392 3, 9, 13, 15, 17, 19, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 57, 59
5.5 402 3, 7, 11, 15, 19, 21, 25, 27, 31, 35, 39, 43, 45, 47
Assignment Sheet
Calculus II / MA 403
Instructor: Mazhar Jamil
Exercise 5.1 Page # 359 3, 5, 9, 11, 15, 21, 25, 29, 35, 39, 43, 45, 49, 53,
63, 65
Exercise 5.2 Page # 371 3, 5, 7, 9, 13, 15, 17, 27, 29, 31, 33, 37, 39, 41, 43,
51, 53
Exercise 5.3 Page # 378 3, 7, 9, 11, 15, 19, 21, 23, 25, 31, 33, 35
Exercise 5.4 Page # 392 3, 9, 15, 17, 19, 23, 25, 27, 29, 31, 33, 35, 37, 39,
41, 43, 45, 47, 53, 57, 59, 63, 65
Exercise 5.5 Page # 402 5, 7, 9, 11, 15, 19, 21, 27, 29, 31, 35, 39, 43, 45, 47,
Exercise 5.6 Page # 412 5, 9, 13, 17, 21, 25, 29, 35, 37, 39, 41, 45, 47, 51, 53
Exercise 5.7 Page # 424 3, 5, 9, 15, 17, 19, 23, 25
Exercise 6.1 Page # 440 3, 5, 7, 9, 15, 17, 19, 21, 23, 25, 27, 31
Exercise 6.2 Page # 454 3, 7, 9, 15, 17, 19, 23, 27, 29, 31, 35, 37, 39
Exercise 6.3 Page # 464 1, 3, 5, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27 Exercise 6.4 Page # 471 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21
Exercise 6.5 Page # 478 1, 3, 5, 7, 9, 13, 17
Exercise 6.6 Page # 485 1, 3, 7, 9
Exercise 6.8 Page # 503 1, 3, 5, 7, 9, 11, 15
Exercise 7.1 Page # 527 5, 7, 11, 15, 17, 21, 25, 29, 33, 37, 41, 45, 47, 51,
53, 55, 57, 59
Exercise 7.2 Page # 543 3, 5, 9, 11, 15, 17, 21, 23, 31, 33, 41, 45, 47, 49, 53,
55, 57, 63, 65, 67, 69, 71, 73, 79, 83, 85, 87, 91, 93
Exercise 7.3 Page # 556 9, 11, 13, 17, 21, 23, 25, 31, 35, 39, 41, 43, 47, 51,
53, 55, 57, 59, 61, 63, 65, 67
Exercise 7.4 Page # 564 7, 9, 11, 13, 15, 20, 21
Exercise 7.5 Page # 572 3, 7, 10, 12, 13, 15, 19, 21, 23, 27, 29, 33, 35, 37,
39, 41, 42
Exercise 7.6 Page # 579 1(g), 1(f), 2(f), 2(h), 3(e), 3(i), 5©, 5(d), 7, 9, 11,
21, 27, 29
Exercise 7.7 Page # 586 3, 7, 9, 11, 13, 15, 17, 21, 23, 25, 27, 31, 37, 39, 41,
43, 45, 47, 53
Exercise 7.8 Page # 594 11, 15, 17, 18, 25, 27, 29, 35, 37, 39, 43, 45, 47, 53,
55, 57, 61, 71, 73
Exercise 7.9 Page # 602 1, 5, 9, 13, 21, 25, 27, 33, 35, 37, 41, 43, 45, 47, 49,
53, 55, 57, 63, 67, 68, 69, 711, 73, 75, 78, 85
Chapter 8 Techniques of Integrations
Exercise 8.1 Page #619 5, 7, 11, 13, 17, 21, 23, 27, 29, 31, 33, 35, 37, 40,
43, 47, 49, 55, 57
Exercise 8.2 Page # 626 3, 5, 7, 9, 13, 17, 21, 23, 25, 27, 28, 29
Exercise 8.3 Page # 634 5, 9, 11, 19, 21, 27, 31, 33, 37, 39, 47, 51
Exercise 8.4 Page # 641 5, 7, 9, 11, 13, 19, 25, 31, 33
Exercise 8.5 Page # 646 1, 5, 7, 9, 13, 17, 23, 25, 29, 31, 35
Exercise 8.6 Page # 658 3, 5, 9, 11, 13, 17, 23, 27, 33, 39, 41, 43, 53, 55
Chapter 9 Infinite Series
Exercise 9.1 Page # 691 3, 7, 9, 13, 19, 25, 27, 31, 35, 41, 51, 55
Exercise 9.2 Page # 702 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 25, 29, 33, 41, 51
Exercise 9.3 Page # 713 3, 5, 9, 11, 13, 15, 17, 21, 23
Exercise 9.4 Page # 719 1, 5, 7, 9, 11, 17, 21, 25, 27, 31, 35
Exercise 9.5 Page # 728 1, 3, 7, 9, 11, 13, 15, 17, 21, 23, 29, 33, 37, 41, 43
Exercise 9.6 Page # 741 2, 3, 5, 9, 9, 13, 27, 29, 34, 41,
Exercise 9.7 Page # 757 3, 5, 7, 9, 11, 15, 17, 19, 21, 23, 25, 31
Exercise 9.8 Page # 764 1, 3, 7, 9, 21
Assignment Sheet
Calculus III / MA 503
Instructor: Mazhar Jamil
Exercise 7.9 Page # 602 1, 5, 9, 13, 21, 25, 27, 33, 35, 37, 41, 43, 45, 47, 49, 53, 55, 57, 63,
67, 68, 69, 711, 73, 75, 78, 85
Exercise 9.1 Page # 691 3, 7, 9, 13, 19, 25, 27, 31, 35, 41, 47, 51, 55, 57
Exercise 9.2 Page # 702 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 25, 29, 33, 41, 51
Exercise 9.3 Page # 713 3, 5, 9, 11, 13, 15, 17, 21, 23
Exercise 9.4 Page # 719 1, 5, 7, 9, 11, 17, 21, 25, 27, 31, 35
Exercise 9.5 Page # 728 1, 3, 7, 9, 11, 13, 15, 17, 21, 23, 29, 33, 37, 41, 43
Exercise 9.6 Page # 741 2, 3, 5, 9, 9, 13, 27, 29, 34, 41,
Exercise 9.7 Page # 757 3, 5, 7, 9, 11, 15, 17, 19, 21, 23, 25, 31
Exercise 9.8 Page # 764 1, 3, 7, 9, 21
Chapter 10 Plane Curves, Parameterizations, Polar Coordinates
Exercise 10.1 Page # 782 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 29, 33
Exercise 10.2 Page # 791 1, 3, 5, 7, 9, 13, 17, 23, 27, 31, 33
Exercise 10.3 Page # 798 5, 7, 9, 11, 13, 19, 27, 29, 33, 37, 41, 47
Exercise 10.4 Page # 807 3, 7, 11, 13, 17, 21, 23, 27, 31, 35, 39
Exercise 10.5 Page # 815 1g, 1n, 3a, 4c, 5c, 9, 13, 17, 21, 29, 33, 39, 40, 41
Exercise 10.6 Page # 823 3, 7, 11, 13, 15, 17, 19, 21, 25, 29, 31, 37, 43
Exercise 10.7 Page # 832 3, 5, 7, 11, 15, 19, 23, 27, 33, 37, 39, 49, 51
Exercise 10.8 Page # 839 1, 3, 5, 7, 13, 17, 19, 23, 25, 27
Chapter 11 Vectors and Analytic Geometry in Space
Exercise 11.1 Page # 854 1a, 1c, 4, 7, 9, 13, 15, 17, 21, 29, 35, 37, 41
Exercise 11.2 Page # 866 9, 10, 11, 13, 17, 23, 27, 29, 31, 37, 45, 49, 53, 59c, 63
Exercise 11.3 Page # 874 3, 5, 9, 11, 13, 15, 19, 25, 29, 33, 35
Exercise 11.4 Page # 882 3, 5, 7, 11, 13, 17, 19, 21, 23, 27, 28, 29, 30
Exercise 11.5 Page # 891 3, 7, 9, 11, 13, 17, 21, 23, 25, 29, 31, 35, 37, 39, 41, 45, 47, 49, 51, 57
Exercise 11.6 Page # 904 (BONUS) 6, 12, 16, 18, 22, 26, 30, 34, 38, 44, 46, 54, 58
Exercise 11.7 Page # 908 3, 7, 13, 19, 21, 25, 33, 35, 41, 45
Chapter 13 Functions of Two or More Variables and Their Derivatives
Exercise 13.1 Page # 974 3, 7, 11, 15, 23, 25
Exercise 13.2 Page # 981 7, 9, 11, 13, 15, 16, 19, 21, 23, 25, 27, 31, 35, 37, 39
Exercise 13.3 Page # 990 5, 9, 13, 15, 21, 23, 25, 29, 33, 35, 39, 43, 44, 49, 51, 55
Exercise 13.4 Page # 999 3, 5, 9, 13, 17, 19, 23, 27, 29, 31, 35
Exercise 13.5 Page # 1007 1, 3, 5, 7, 9, 13, 19, 21, 25
Exercise 13.6 Page # 1012 3, 7, 11, 13, 17, 19, 23, 27, 29
Exercise 13.7 Page # 1020 3, 5, 9, 11, 23, 25, 27, 31
Exercise 13.8 Page # 1028 3, 5, 7, 9, 15, 19, 21, 23, 25, 31, 35, 37
Exercise 13.9 Page # 1040 1, 3, 5, 13, 15, 19
Chapter 14 Multiple Integrals
Exercise 14.1 Page # 1058 3, 5, 7, 9, 11, 13, 15, 19, 23, 27, 31, 33, 35
Exercise 14.2 Page # 1064 3, 5, 7, 11, 13, 15, 17, 23, 25, 27
Exercise 14.3 Page # 1071 3, 5, 9, 11, 13, 15, 17, 23
Exercise 14.4 Page # 1078 3, 7, 9, 13, 15, 19, 21, 23, 27, 29
Exercise 14.5
Assignment Sheet
Linear Algebra / MA 443
Instructor: Mazhar Jamil
Text: Elementary Linear Algebra by Ronald E. Larson and Bruce H. Edwards
Exercise 1.1 Page # 11 3, 5, 9, 11, 15, 17, 19, 21, 25, 29, 35, 39, 45, 51, 53,
55, 57, 61, 65, 73
Exercise 1.2 Page # 24 5, 9, 11, 13, 17, 19, 23, 31, 35, 39, 41, 43, 47, 51, 55, 61
Exercise 1.3 Page # 34 1, 5, 7, 9, 15, 19, 23, 25
Exercise 2.1 Page # 51 3, 5, 9, 11, 15, 19, 23, 25, 29, 31, 33, 35, 37, 43, 47, 53, 57
Exercise 2.2 Page # 62 1, 7, 9, 11, 15, 17, 23, 25, 27, 29, 31, 35, 37, 43, 53, 55, 61
Exercise 2.3 Page # 75 1, 5, 11, 17, 27, 31, 33, 35, 37, 39, 41, 53
Exercise 2.4 Page # 85 3, 7, 11, 13, 17, 19, 21, 27, 31, 39, 41, 43, 47, 49, 51, 53,
Exercise 2.5 Page # 100 1, 5, 7, 11, 15, 17, 19, 21, 23, 25, 27, 29, 35, 41, 43
Exercise 3.1 Page # 117 5, 11, 13, 15, 19, 23, 27, 29, 33, 35, 39, 41, 43, 47, 49
Exercise 3.2 Page # 125 5, 9, 11, 13, 15, 19, 25, 27, 29, 31, 33, 35, 37
Exercise 3.3 Page # 135 3, 5, 9, 11, 15, 19, 23, 25, 27, 29, 31, 33, 35, 37, 45, 47,
49, 55, 57, 59, 61
Exercise 3.4 Page # 148 1, 3, 7, 11, 13, 15, 19, 23, 27, 33, 37, 41, 43, 49, 51, 53, 59
Exercise 4.1 Page # 165 3, 5, 7, 11, 15, 17, 19, 21, 23, 27, 29, 31, 33, 35
Exercise 4.2 Page # 172 1, 5, 7, 11, 17, 19, 21, 25, 27, 29
Exercise 4.3 Page # 179 1, 3, 5, 7, 9, 11, 13, 17, 19, 29
Exercise 4.4 Page # 190 3, 7, 9, 13, 15, 19, 23, 25, 27, 29, 31, 35, 37, 39, 41, 43, 45
Exercise 4.5 Page # 200 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33,
35, 37, 41, 45, 47, 49, 53, 55
Exercise 4.6 Page # 214 3, 7, 11, 15, 17, 19, 23, 25, 27, 31, 33, 46
Exercise 4.7 Page # 223 1, 3, 5
Exercise 4.8 Page # 232 3, 7, 11, 13, 16, 17, 29, 33, 39, 41, 45
Exercise 5.1 Page # 250 3, 7, 11, 15, 17, 21, 27, 31, 33, 37, 39, 45, 51, 53, 57, 61, 65
Exercise 5.2 Page # 262 5, 7, 9, 11, 13, 15, 17, 21, 25, 29, 31, 33, 37, 39, 41, 45, 47, 51
Exercise 5.3 Page # 275 3, 5, 7, 9, 13, 17, 19, 23, 25, 27, 31, 33, 35, 37, 39, 41, 43
Exercise 6.1 Page # 325 3, 5, 7, 9, 13, 17, 21, 23, 31, 33, 38
Exercise 6.2 Page # 339 3, 5, 7, 9, 11, 13, 17, 23
Exercise 7.1 Page #383 3, 5, 7, 11, 13, 17, 21, 27, 31, 33
Exercise 7.2 Page # 394 1, 3, 5, 7, 9, 15, 19, 23
Exercise 7.3 Page # 405 1, 3, 5, 7, 9, 11, 13, 15, 19
Exercise 7.4 Page # 421 11, 13, 15, 17, 19, 23, 25
Assignment Sheet
Quantitative Business Analysis / MA 411
Instructor: Mazhar Jamil
Text: Quantitative Business Analysis by Barry Render and Ralph M. Stair, Jr.
Exercise Page #27 5, 7, 10, 14, 15, 20, 21, 24, 27
Exercise Page # 124
Differential Equations / MA 523
Homework Assignment
Instructor: Mazhar Jamil
Text: Elementary Differential Equations, 7th Edition by Earl D. Rainville & Phillip E. Bedient
Section # Page # Problem #
Chapter 1: Definitions, Families of Curves:
2 5 1, 3, 5, 7, 9, 11, 13, 15, 17, 19
3 9 3, 4, 5, 6, 7, 11, 14, 15, 17, 19, 22, 24
4 14 2, 3, 5, 7, 8, 9, 10, 13, 14, 15, 16, 20, 21
Chapter 2: Equation of Order One
5 19 1, 3, 5, 7, 9
7 25 2, 4, 5, 7, 8, 9, 11, 14, 15, 17, 20, 23, 25, 27, 29, 33, 35, 37
8 27 3, 5, 7, 9, 11, 13, 15, 17, 19
9 31 3, 5, 9, 12, 13, 17, 21, 27, 29, 33, 35
10 36 1, 3, 6, 8, 12, 15, 17, 20, 21, 25, 28
12 42 7, 8, 11, 14, 16, 18, 28, 31
44 4, 10, 14, 16, 17, 23, 34, 38, 41, 50, 55
Chapter 3: Elementary Applications
15 51 3, 5, 10, 14, 15, 16, 26, 27
17 61 2, 3, 8, 11, 13, 18, 23, 30
Chapter 4: Additional Topics on Equations of Order One
18 66 2, 6, 11, 13, 14, 20, 21, 23
19 71 3, 5, 7, 9, 11, 14, 17, 19
20 76 1, 2, 4, 5, 8, 9, 10, 12, 14, 17, 25, 26, 27
22 80 4, 5, 8, 10, 11, 13, 15, 19, 21
23 85 2, 3, 6
Chapter 5: Linear Differential Equations
24-25 90 2, 3, 6, 7, 8
26-27 93 1, 2, 3, 4, 5, 6, 6, 7
28-31 101 3, 5, 9, 13, 15, 19, 21, 22
32 104 1, 2, 3, 4
Chapter 6: Linear Equations with Constant Coefficients
33-34 107 3, 5, 9, 11, 13, 19, 23, 24, 25, 29
35 111 3, 5, 9, 11, 13, 17, 21, 23, 25, 29
36-38 118 2, 3, 4, 7, 10, 11, 13, 16, 17, 18, 21
Chapter 7: Nonhomogeneous Equations: Undetermined Coefficients
39 123 3, 5, 7, 9, 12, 14, 18, 23, 24, 28, 29, 33, 34
40-41 130 1, 3, 5, 9, 11, 12, 15, 19, 21, 23, 36, 37, 39, 43, 45, 47
42 137 4, 6, 8, 11, 13, 17, 19, 22, 25, 29, 31, 38, 39, 44, 49, 50
Chapter 8: Variation of Parameters
43-44 143 1, 2, 4, 7, 8, 11, 13
45-46 149 3, 7, 9, 11, 13, 15, 17
Chapter 9: Inverse Differential Operators
47 155 3, 6, 7, 11, 15, 17, 19, 21, 23, 25, 28
48-49 159 3, 5, 7, 11, 15, 17, 19, 24, 25, 25, 28, 32
Chapter 10: Applications (Bonus)
51-53 168 Selective problems
54 172 “ “ “
55-59 183 “ “ “
Chapter
11: The
60-62 189 1, 3, 4, 5, 9, 15, 17, 19
63-65 196 5, 6, 10, 14, 16, 17
66-69 206 1, 3, 7, 8, 10, 13, 14
Chapter 12: Inverse Transforms
70 212 3, 5, 7, 9, 11, 13
71 215 3, 5, 6, 7, 8
72 220 1, 3, 5, 7, 11, 12, 13, 17
Chapter 13: Linear System of Equations
85 286 1, 3, 5, 7, 9
Chapter 20: Numerical Methods
Euler’s Methods
Modification of Euler’s Methods
The Runge-Kutta Method
Vector Calculus / MA 602
Homework Assignment
Instructor: Mazhar Jamil
Text: Calculus and Analytic Geometry, 8th Edition by George B. Thomas, Jr.
and Ross L. Finney
Section # Page # Problem #
Chapter 11: Vector-Valued Functions and Motion in Space:
11.1 777 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 31, 35, 37
11.2 784 1, 2, 3, 4, 5, 7, 13, 15, 17, 21
11.3 790 3, 5, 7, 9, 13, 16 (a) & (c)
11.4 799 3, 7, 11, 13, 15, 17, 19, 21, 29, 32, 37
11.5 809 1, 5, 7, 9, 11, 12, 17
Chapter 12: Functions of Two or More Variables and Their Derivatives:
12.1 824 3, 7, 9, 13, 17, 19, 29, 31, 33, 35, 37, 39
12.2 831 3, 7, 11, 15, 17, 19, 21, 25, 27, 31, 33, 35, 43, 47, 51, 53, 55
12.3 840 7, 12, 15, 17, 23, 27, 30, 31, 33, 35, 37, 43, 49, 52 (a) & (d),
61, 63, 67, 69
12.4 852 3, 5, 7, 11, 25, 29, 31, 33, 35
12.5 860 3, 5, 7, 9, 15, 19, 27, 29, 33, 35
12.6 868 1, 3, 5, 7, 9, 11
12.7 877 3, 5, 11, 15, 17, 21, 23, 25, 29, 31, 33, 35, 37
12.8 887 3, 7, 9, 13, 19, 25, 29, 31, 33
12.9 900 3, 5, 7, 9, 13, 15, 17, 19, 29
12.10 908 1, 3, 5, 9
Chapter 13: Multiple Integrals
13.1 924 3, 5, 9, 11, 15, 17, 19, 23, 25, 27, 29, 33, 37, 39, 43, 45, 49
13.2 934 3, 5, 7, 9, 11, 13, 15, 19, 21, 29, 35
13.3 942 5, 9, 12, 15, 19, 21, 25, 27, 29, 31, 35
13.4 948 5, 9, 13, 15, 19, 25, 27, 29, 33, 37
13.5 952 1, 3, 5, 7, 9, 11
13.6 960 3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 25, 31, 37, 43
13.7 968 3, 5, 8, 9, 10, 11, 13
Chapter 14: Integration in Vector Fields
14.1 978 5, 7, 11, 13, 17, 19, 25
14.2 987 5, 9, 11, 13, 15, 17
14.3 999 3, 5, 9, 13, 17, 23
14.4 1010 3, 7, 11, 13, 21, 23, 31
14.5 1021 1, 3, 7, 19
14.6 1029 3, 5, 13, 14(b) & (c), 20 (a) & (d)
14.7 1039 3, 5, 9, 13, 17, 21
Chapter 15: Differential Equations
15.1 1050 1, 3, 7, 9, 13, 15, 19, 23, 25, 27
15.2 1054 3, 5, 11, 13, 21, 23, 25, 29
15.3 1060 3, 5, 7, 11
15.4 1065 5, 7, 11, 15, 19, 23