syllabus

MATH 233 - ANALYTICAL GEOMETRY - CALCULUS III


TEXT:	Calculus, by Larson, Hostetler & Edwards (Seventh or Eighth Edition)
Recommended:	The student Edition of MATLAB (Version7.1 Release 14)


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