MATH 233 - ANALYTICAL GEOMETRY - CALCULUS III

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TEXT: Calculus, by Larson, Hostetler & Edwards (Seventh or Eighth Edition)
Recommended: The student Edition of MATLAB (Version7.1 Release 14)
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LESSON TOPIC Section/Page/Exercises Section/Page/Exercises
7th Edition 8th Edition
1 Vectors in the Plane 10.1/P.723/1,11,17b,27,29,41,47, 11.1/P.769/1,11,17b,27,29,41,47,
49,53, 49,53,
69 71
91 93
100 96
101 97
104 100
2 Space Coordinates and 10.2/P.732/1,7,9,31,35, 11.2/P.778/1,7,9,31,35,
Vectors in Space 37,39,41, 37,39,41,
55 57
67 69
73
71
83 85
91 93
3 The Dot Product of 10.3P.741/3 11.3/P.787/5
Two Vectors 9 9
17 17
21 21
31
27
45 47
47 49
51 53
71
67
4 The Cross Product of 10.4/P.750/1,15,29,31, 11.4/P.796/1,15,29,31,
Two Vectors in Space 33,43,47 33,43,47
5 Lines in Space 10.5/P.759/5,7,9,13, 11.5/P.805/5,7,9,13,
17 25
19 27
23 31
6 Planes in Space 10.5/P.760/29 11.5/P.806/37
33 41
37 45
39 47
41 49
47 59
51 63
69 83
73 87
77 91
7&8 Surfaces in Space 10.6/P.771/1-6(ALL) 1 1.6/P.818/1-6(ALL)
7-27(ODD), 43 7-27(ODD), 43
9 MATLAB:Project 1
10&11 Cylindrical and 10.7/P.778/4,9, 11.7/P.825/4,9,
Spherical Coordinates 21 25
25 29
31 35
43 49
50
44
51 57
63 69
101
95
12 REVIEW
13&14 TEST 1
15 Vector-Valued Functions 11.1/P.791/1,3,11a-c, 13,15, 12.1/P.837/1,3,11a-c,13,15,
23,31,33,49,59,69, 23,31,33,49,59,69,
71,73,75 71,73,75
16 Differentiation & 11.2/P.800/1 12.2/P.846/1
Integration of 7 9
Vector-Valued Functions 11 13
17
15
37 39
45 51
48 54
55
49
55 63
17 Velocity & Acceleration 11.3/P.808/3,5,9,13,15,21, 12.3/P.854/3,5,9,13,15,21,
27,37,38,41 27,37,38,41
18 MATLAB: Project 2
19 Tangent Vectors and 11.4/P.817/7 12.4/P.863/13
Normal Vectors 23 33
25 35
27 41
31 45
36 51
20&21 Arc Length & Curvature 11.5/P.828/1,2, 12.5/P.875/1,2,
3 5
4 6
8 11
9 13
21 25
25 31
22 REVIEW
23&24 TEST 2
25&26 Introduction to 12.1/P.846/7,13,15,17,19, 13.1/P.892/7,13,13 a,b,15,17,19,
Functions of Several Variables 21,35,37,51,53,71,73 21,35,37,51,53,71,73
27&28 Limits and Continuity 12.2/P.856/7 13.2/P.902/9
9 11
13 15
19 27
21 29
33 41
37 49
39 51
29&30 Partial Derivatives 12.3/P.865/11,15,21,25, 13.3/P.912/11,15,21,25,
37 33
39 35
45,53 45,53,
57 61
59 63
71 75
75 79
31 Differentials 12.4/P/874/4,9,11,17,25,26,35,40,41 13.4/P.921/4,9,11,17,25,26,35,40,41
32 Chain Rules for Functions 12.5/P.882/1,7,9,17,21,31,33,35, 13.5/P.929/1,7,9,17,21,31,33,35,
of Several Variables 51 53
54,60 54,60
33&34 Directional Derivatives & 12.6/P.893/5,7,9,11,15,17,31, 13.6/P.940/5,7,9,11,15,17,31,
Gradients 35,40,61,63 35,40,61,63
35 Tangent Planes & 12.7/P.902/7,13,14,21,23,27,29,33, 13.7/P.949/7,13,14,21,23,27,29,33,
Normal Lines 39 41
47 49
36 MATLAB: Project 3
37&38 Extrema of Functions 12.8/P.911/1,3,5,7,21,25,31, 13.8/P.958/1,3,5,7,21,25,31,
of Two Variables 33,45,48,53,55,59 33,45,48,53,55,59
39&40 Applications of Extreme of 12.9/P.917/1,5,7,9,11,13, 13.9/P.964/1,5,7,9,11,13,
Functions of Two Variable s 20 18
41 REVIEW
42&43 TEST 3
44&45 Iterated Integrals & 13.1/P.942/5 14.1/P.988/5
Area in the Plane 15 17
19 21
27 29
31 33
33 35
35 37
39 41
46 48
47 49
53 55
55 57
46 Double Integrals and 13.2/P.952/9,11,15,19,25, 14.2/P.998/9,11,15,19,25,
Volume 27,33,37,39 27,33,37,39
47 MATLAB: Project 4
48 Change of Variables: 13.3/P.960/10,11,17,19,25,27, 14.3/P.1006/10,11,17,19,25,27,
Polar Coordinates 29,31,37,39 29,31,37,39
49 Center of Mass 13.4/P.969/5,7,11,13,19,25 14.4/1015/5,7,11,13,19,25
50 Triple Integrals and 13.6/P.986/4,5,17,21,23, 14.6/P.1032/4,5,17,21,23
Applications 25,27 25,27
51&52 Triple Integrals in 13.7/P.993/1,3,5,9,13,15 14.7/P.1040/1,3,5,9,13,15
Cylindrical & Spherical
Coordinates
53&54 Vector Fields 14.1/P.1017/7,9,21,35,37,41, 15.1/P.1063/7,9,21,35,37,41,
45,47,51,59,61 45,47,51,59,61
55,56 Review for Final