MATH 210 Calculus III 
Fall, 1997 MWF 12:40 -1:50 P.M. UANX 150 / SD 017 
Course Assignments


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Last updated: 11/3/97 

MATH 210: Calculus III Fall, 1997

Assignment Problem List I


Chapter.Section (pages) Problems Interesting/optional
[Review of Calc I and II] Look at Final Exams from Calc I and II
8.2 due 9-10 1-5 odd, 9, 13, 21 28, ,32, 34
9.1 all due 9-3 (i) 1-7 odd, 17-23 odd, 26, 27 

(ii) 4,6,8, 11-13, 25, 28

 30, 31, 33, 35,38
9.2 (554-556:tangents) due 9-5 

(557-558: area)

 (i) 1-5, 9, 11, 15, 21, 28 

(ii) 29-31, 35

 (i)23, 27, 37 

(ii)36,40
9.3 (560-562 middle) Due 9-8 1-5, 9, 13 15,29,30,31,32
11.1
(i) And (ii) due 10-1		 (i) 1,3,5,9,11,12, 15,16,22 
(ii) 24,27, 29 - 37, 44, 45		 21 
46, 48
11.2 due 9-10 1-3,7,8,11-17 odd, 19-21, 29 27,28,31,32,40
11..5 (i) 1-5,7,11, 17; (ii) 19-29 odd, 33,49; (iii) 51, 55-57, 63, 65, 76
11.7 Due 9-12 (i)  (i)1-7, 9,10,15,17 (ii) 23,24,27,29,30,35-37
11.8 1-6

 
 
Tentative Daily Topic Schedule as of August 15
Week/Day Monday Wednesday Friday
1 8/26 Introduction- 

Begin review

 8/28 Variables- relations-functions. 

Visualizations: Transformations and graphs. 

What is calculus? Differential Equations?

 8/30 Introduction to 3-dimensional coordinate geometry and vectors. 11.1, 11.2
2 9/1 Labor Day- No Class. 9/3 1 variable controlling 2. Parametric curves and the tangent problem. 9.1 and 9.2 9/5 1 variable controlling 2 (or 3). Vector functions and tangent vectors.11.7
3 9/8 Lines: parametric and vector equations in 2 and 3 dimensions. 11.5 9/10 Lengths: segments, vectors,arcs. 9.3,11.8 9/12 Breath
Assignment Problem List II


Chapter.Section (pages). Problems Interesting/optional
11.3 
(i) due 9-19 
(iii)due 9-22		 (i) 1,2,6-8,13,14,19,20,25,26,51 
(ii) 3-5,9,11,12,17,21-24,29,54 
(iii) 37,38,43,44		 47,49,53,55,56,58,61-63
11.7 
(i) due 9-19 
(ii)due 9-22		 [Use only first two components] 
(i)37-33 odd,41,43,45,49 
(ii)57-61
11.8 Ex. 5 Due 9-29  21-23,27,29,30
11.9 
(i) due 9-22 
(ii) Read Ex.3&5 due 9-26		 [Use only first two components] 
(i) 1-4 
(ii) 15, 16, 20, 21, 26, 27
Handout on Curvature 9-26 Find where the graph of y=ln(x) has its largest curvature.
12.1 
(i) Due 10-1 		 (i) 1-3, 5-9 odd, 15,17 
(ii) Sketch a scalar field for the integer lattice of [-2,2]x[-2,2] : 31-37,43-47 odd 
(iii) 43,45,47,57 
(iv) 31-37, 40-41, 59-64
12.3(i) 10-6 
(ii) 10-8 
(iii) 10-10		 (i) 1,3-8,17,20, 28,31,50 
(ii) 51-55, 57,58, 63, 68 
(iii) 75,76, 78(a,c), 79		 92,94,97

 
 
Tentative Daily Topic Schedule
Week/Day Monday Wednesday Friday
4 9/15  9/17 The Dot Product 9/19 Acceleration and speed
5 9/22 Acceleration and curvature. 9/24 Curvature Formulae 9/26 Finish up 1 variable controlling 2
6 9/29 Begin 2 controlling 1 variable. 
Scalar fields and level curves. Graphs.		 10/1 Partial Derivatives 10/2 More on Partial derivatives
Assignment Problem List III


Chapter.Section (pages). Problems Interesting/optional
12.2   due 10-13  1-9 odd
12.4 (i) differentials due 10-15 
(ii) Tangent planes due 10-17		 (i)11-15,19,21,22,27,29,34 
(ii) 1-5
12.5 (i) 1-2-1  due 10-17 
(ii)2-2-1		 (i) 1-4,23-25 
(ii) 7-9,39,40,41,45,46
12.6 (i) Gradients and directional Derivatives  due10-22 
(ii) Gradient interpreted due 10-24		 (i)5,6,1,3, 9 -12 
(ii) 17-19,24, 28a,30,31-33,43
12.7 (i) due 10-29 
(ii) due 11-3		 (i)1-11 odd 
(ii)6,10,13,15, 25,27,29		 33,51,52

 
 
Tentative Daily Topic Schedule
Week/Day Monday Wednesday Friday
6 9/29 Begin 2 controlling 1 variable. 
Scalar fields and level curves. Graphs.		 10/1 Partial Derivatives 10/2 More on Partial derivatives
7 10/6 Three dimensional coordinates. 
Second order Partial derivatives.		 10/8 Graphs of Functions with 2 controlling variables. 10/10 limits and continuity
8 10/13 Differentials, C1 and differentiable functions. 10/15 The geometry of differentiability- Tangent planes. 
The Chain Rule (1-2-1)		 10/17 Chain rule continued.
9Exam #1 10/20 Directional derivatives and the gradient. C1 implies differentiable. 10/22 Geometry of the gradient 10/24 Local Extremes and the gradient continued
10 10/27 Testing for extremes. Quadratic forms. (2-2-1 chain rule?) 10/29 Lagrange multiplier- extrema on compact sets. 10/31 breath- what about 4 variables: 1-3, 3-1, 2-2
 Assignment Problem List IV


Chapter.Section (pages). Problems Interesting/optional
12.8 due 11/7 1-4, 16, 17,21,22,41 17,18,23
11.2 Vectors due 11/7 5,9,13,17, 21,24
11.3 Dot Product due 11/7 5,9,10, 11,15, 21,22,27,39,41,55 45,47,54,57
11.4 Cross Product due 11/19 (i) 1-5, 9-11, 14, 19, 21, 22, 25, 26, 29 
(ii) 35-37, (read example 5) 31
11.5 (i) Lines due 11/10 
(ii) Planes due 11/19 
(iii)Planes due  11/21		 (i) 1,3,5,11,13,17 
(ii) 19, 21, 23, 25, 27. 31, 35, 55 
(iii) 41-43, 47, 51, 61, 63, 69
11.6 Quadratic Surfaces 1-7, 17-24, 39, 41 45, 48
11.7  due 12/1 (i) 1-6, 7-9, 15, 17 
(ii) 27-29, 33, 34, 41,42, 46 
(iii) 51, 57, 58, 61, 70, 71, 73		 74
12.1 due 12/1 4, 29, 53-55
12.3 due 12/1 13, 15, 16, 33, 35, 49, 69, 77, 86 82
12.5 The Chain Rule due 12/1 5, 6, 13, 14, 17, 19, 35, 39
12.6 due 12/1 7, 14, 16, 22, 25, 27, 45, 49 57
13.1 (i) due 11/14 
(i) due 11/17		 (i) 1, 3, 5 
(ii) 6-8, 10
13.2 (i) due 11/14 
(ii) due  11/17		 (i) 1,3, 5-8, 23 
(ii) 15-17, 25-27, 35
Assignment Problem List V


Chapter.Section (pages). Problems Interesting/optional
9.4 (i)Polar Coordinates 12-5 
(ii) Curves sketching 12-5 
(iii) Tangents 12-5		 (i)1-4,7-9,13-15, 17-21,25-27,31-35 
(ii) 37-53 odd 
(iii) 63-71 odd		 59,60,62,75,77,78,84
9.5 arc length p576-7 12-8 43-47 odd
11.6 Quadric surfaces 12-5 1-5 odd,17-24
11.10 (i) cylindrical coordinates  12-10 
(ii)spherical coordinate 12-12		 (i) 1-9 odd, 51-53 (a) 
(ii)13-27 odd, 33-37, 51-53(b)
13.3 integration over regions in the plane(i) 12-5 
(ii)12-10		 (i) 1-5, 7-13 odd, 19,21 
(ii)33-35, 39,41		 31
13.4 integration in polar coordinates 12- 10 1-9 odd,14, 15, 19,25 32
13.7 Triple intergrals (rectangular) (i)12-10
(ii) 12-12		 (i)1-11 odd, 17 
(ii) 25,  37 find mass only, 47
13.8 Triple intergrals (cylindrical & polar) 12-12 1-3, 5,7 , 15,17,33,35

 
Tentative Daily Topic Schedule
Week/Day Monday Wednesday Friday
11 11-3 LaGrange Multiplier, extremes, and odds and ends; start integration on rectangles 11-5 11-7
12 11-10 Dot products in 3 dimensions. Planes and normal vectors. Integration over rectangles  11-12 integration over rectangles and iterated integrals 11-14Cross products Beginning-basic properties.
13 11-17 Finish cross product- applications to planes and volumes. Curves in 3 dimensions: tangents, velocity, acceleration.  11-19 More integration. Arc length in 3 -D. Functions of 3 variables. Visualizations. Partial Derivatives. The differential. Differentiability. The Chain Rule. The gradient. 11-21  Integration over compact regions.The gradient in 3D. Extremes for Functions of 3 variables.
14 11-24 No class- holiday 11-26 No class- holiday 11-28 No class- holiday
15 Exam #2 12-2,12-3 12-1 Quadratic Surfaces 12-3 More Integration in the plane. 
Polar coordinates- curves in the plane.		 12-5 Integration with polar coordinates. 
16Team Assignment #2 due 12-8
Talks 12/11 6:30		 12-8 Properties of integration in the plane.The integral of e^(-x^2). Cylindrical  coordinates. 
Begin integration in 3D		 12-10 More integration in 2 and 3 dimensions. 
Begin spherical coordinates.		 12-12 Integration in spherical coordinates