Last updated: 5305 Work in progress!
Date Due  Asignment Number 



118 & 120 
1 
Review of Calc I and II  Look at Final Exams from Calc I and II  
121Read only 124: Do problems 
2 
11.1 Read Consider what this has to do with vectors.  11.1: 17 odd, 11, 19,21,24,25, 28 (revised 121)


125 
3  11.1  11.1: 10,12, 1416, 44, 31  38, 39, 41,46,47 
128 
4 
11.2 696698:tangents 13.2 pp834 838 
11.2: 1,2,3,5,6 13.2: 17,19,21,2325, 37 

131 
5 
11.2 Reread 696698 13.1 13.5 (i) pages 858861 (lines in space) 
11.2: 7, 9,11, 15, 23, 30 13.1: 1, 3, 4, 11, 15, 2329 odd 13.5: 24,7,13 

21 or 23 * 
6 
14.1 14.2 vector derivatives and tangent vectors: pp892895(middle) 
14.1: 3,4,1924, 7,9,11,25,27 14.2: 1,35,9,13,14 

23 
7 
11.2 699701( middle):arc length 14.3 898899 Ex. 1. 
11.2: 3741, 45, 51 

24 
8 
14.2 p893 (Unit tangent vector) 14.3 arc length (898900) 
14.2: 1719, 27, 29 14.3: 14,7, 8 (arc length) 

27 
9 
14.2 integrals and de's p 896 
14.2: integrals 3339
odd, 38, 40


215 
POW #1 

28 and 210* 
10 
11.2: 698699: area 14.4 velocity and acceleration (906910) 13.3 dot product 
11.2: 31 33 14.4: 17 odd, 913, 15,1719 13.3: 1,3,4,810,15,16, 23, 25 

211 
11 
14.2 13.3 
14.2: 41,45,49 13.3: 57, 11, 17, 18, 21, 24, 26,27; 35,36,41,42, 50 
14.2: 42,44 
214 
12 
13.1 (review?) 13.3 p8489 14.1 (review?) 
13.1: 79,13,14 13.3:45,47, 48, 51, 52 14.1: 28,29, 32 
13.3:54, 5759 
215 
13 
14.3 Curvature I (p900and Ex.3)  14.3: 13b,15 b (curvature)  14.3:20 11.3 :69 
217 
14 
13.5 861862 to example
4 15.1 pp 923926 Online Materials on 1 controlling 2 or 3 variables 
13.5: 5,19,2329 odd 15.1: 1,2, 59 odd, 15,17 

218 
15 
15.1 pp 926933 
15.1:Sketch a scalar field for the integer lattice
of [2,2]x[2,2] : 2127,3743 odd Not reported on Blackboard. 

222 (5 pm) 
Summary #2 
weeks 4 & 5 

221 
16 
15.1  15.1: 30, 3739,45, 5358 (Graphs) 15.1: 19, 33, 34, 65,69 

222 
17 
15.3 read pp945948  15.3: 3,1327 odd  
224 
18 
15.3 read pp948 953  15.3:8, 24,26, 34, 37, 39; 45, 47, 49, 48, 53, 58  
* 225 and 228 
19 
15.3 read pp 953955 15.4 read 959960 
15.3: 65, 67, 68, 70(a,c), 71, 78 15.4: 15,7 

228 
20 
15.4 read 961964 (including Example 5)  15.4: 17,18, 2326, 29, 31,36  
* 31 and 33 
21 
15.2 pp 938943 15.4 Finish Section. 
15.2: 3,4, 511odd 15.4: 11, 12, 27, 35, 37 
15.4: 41,42 
34 
22 
15.5: 121 p9679 (Ex. 2) 15.5: 221 p969972 
15.5: 14, 13, 35 ; 711 odd, 21,22, 39, 43  
37  Summary #3 
Weeks 6 and 7 

39 
Exam #1 covers Assigned Material through Assignment 22
.


37 
23 
15.5 implicit... p9723 
15.5: 2733 odd 

38 
24 
15.6 read pp976979 15.6 read pp979983 
15.6: 7,8, 5, 11 14; 2123,27, 30  
310 and 311*  25 
15.6 p 984986  15.6:36,37,47;49,53,59  
311 
26 
15.7 pp 989ex.1 p990; p 995  15.7: 513 odd (use technology to see extreme/saddle)  Prep for Friday: 
322 and 324*  27 
15.7 p990995 p1000 
15.7: 6,14,15,17 
Read
notes on Quadratic Functions on line. p1000 #4 
328 
28 
15.7 Example 7 15.8 pp 10011005 
15.7: 27,29,31 15.8:19 odd,2331 odd 

45 
POW #4 

329 
29 
13.6 Surfaces 16.1 pp 10171021 
13.6: 1117 odd, 2128, 3739, 41,43 16.1: 3a,5,9 
13.6: 47,49 
41 and 44 
30 
16.1 pp10221024 16.2 p10261027 
16.1: 1113, 17,18 16.2:111 odd, 4, 8 

45 
31 
16.2 p10271030 
16.2: 1315, 18, 25, 29 
16.2:33 
47 and 48*  32 
16.3 pp10311033  16.3: 19 odd, 8, 1115 odd  
48 
33 
16.3 pp 10331036  16.3: 12,19, 3739  
411 and 412*  34 
16.3 13.4 cross products Notes on Cross Products 
16.3: 4347 odd, 48, 49 13.4: 19 odd, 13, 15, 23 

414 
35 
13.4 11.3: 705707 read! 
13.4: 29,30, 33, 41,18,42,4 

415 
36 
11.3:....705710 
11.3: 13,5,711;1517, 3135, 54  
418 
37 
11.3: 710713 11.4 p718 polar coordinates (Arc length) 
11.3:3745 odd ; 5565 odd 11.4: 4549 odd 
11.36971,79 
Examination #2 Self Scheduled for 42005
Covers material assigned through #37 

419 and 421*  38 
11.4 p715717 16.4 Integration in polar coordinates. 
11.4: 15 odd, 9 16.4:113 odd 

422 and 425*  39 
16.7 Integration in 3 space (rectangular).  16.7:111 odd, 17  
426 
40 
16.5 10451046 (Density and mass) 10501054 (probability) 
16.5: 1, 3(mass only), 23, 25 

428 and 429*  41 
13.7 Cylindrical and spherical coordinates. 16.7 16.8 Integration in 3 space (Cylindrical and polar) 
13.7: 39 odd, 1319 odd, 31,35,36,39, 40, 4951 16.7: 27, 39 find mass only, 49 16.8:1,2, 5,7 , 15( Mass only) 

52 and 53 
42 
16.8 spherical Integration 16.6 Surface area 
16.8: 3,17,33,35 16.6:17 odd 

55 
17.1 Vector Fields  17.1:17 odd, 1518,21,27,2932  
52 
POW #6  
Inventory of Assignments 




13.1 
13.1: 5, 6, 21, 31,33,3537  
13.5 
13.5: 31, 33, 35,53 

13.5 
13.5: 51, 5557, 65, 67 

14.1 
37 

14.3 Example 5 
14.3: 2325,31,37,38 

15.2  15.2: 17, 21,25, 27,31  
16.4 
1719, 2125 odd, 29, 35 

17.3 pp1114 examples 2 4a, 5. 
39 odd. [NOTE: A vector field is called
conservative
if
it is the gradient vector field for a potential function.] 

17.3 pp 11101117 
13,15,17,21,2931 

17.2 Line Integrals 1098 1100, ex.3, 11031104, 11051107 
7,19, 21, 37 
Week/Day  Monday  Tuesday  Thursday  Friday 
1 
No Class MLK Day 
1/18 Introduction
Begin review Variables relationsfunctions. What is calculus? Differential Equations? 
1/20 Introduction to 3dimensional coordinate geometry. 
1/21 13.1
Introduction to vectors. 
2 
1/24 13.2 "1 variable controlling 2"
11.1 Parametric curves . Visualizations: Transformations and graphs. 
1/25 More on vectors and functions
"1 variable controlling 2," 2 controlling 1". 
1/27 More on vector algebra. 
1/28 Lines: parametric and vector equations 2 &3
dim. 13.5 
3  1/31 The tangent problem 11.2
"1 variable controlling 2 (or 3)." Vector functions, tangent vectors and velocity. 14.1, 14.2 
2/1Tangent lines, Lengths: segments, vectors, arcs. 11.2, 11.3, 14..3 speed  2/3 Smooth curves. Acceleration 14.4
Arc length as an integral of speed. 
2/4 Differential equations and integrals of vector functions. 
4
Summary #1 Due 27 
2/7 The Dot Product. 13.3.  2/8 More on dot products.
Finish up 1 variable controlling 2 and 3. The calculus of the"vector" derivative 
2/10 More on dot products  2/11 The Calculus for r'(t). 
5  2/14 Curvature Formulae 14.3  2/15 Begin "2 controlling 1 variable". Begin Linear Functions, Equations: Planes in Space. 
2/17 Tables and Scalar fields. Level Curves.  2/18 Graphs and level curves
of functions of 2 and 3 variables. 
6
Summary #2 Due 222 
221 Begin Partial Derivative. Linear (Affine)Functions lines, planes and vectors.  222 Second order Partial derivatives. 
2/24 More on tangents, partial derivatives, planes and "Tangent Planes".  2/25
The Differentials.Concepts and definitions. 
7  228 What is continuity? What
does differentiable mean? Limits and Continuity. Closeness, Approximations. 
31
Differentials, C^{1} and differentiable functions. Geometry of differentiability Tangent planes. 
33 The Chain Rule (121) Chain Rule(221) 
34 Implicit Differentiation 
8 Summary #3 Due 37
Exam #1 Self Scheduled for Wednesday 39 
37 Begin Directional derivatives and the gradient.Geometry of the gradient.  38.Finish Gradient and level curve/surfaces. Review for Exam. 
310 More Gradient and level surfaces. Tangent planes from gradients. 
311 Testing for extremes. 
9  314 No Class (Break)  315  317  318 
10  321 Extrema on compact sets 
322
More odds and ends. 
324 The discriminant test. Quadratic forms.  325 LaGrange Multiplier 
11Summary #4 Due 329 
328 Quadric Surfaces 13.6 Start Integration over rectangles 
329
Linear regression and "least squares." 15.7 problem 51. 
331 NO Classs C.C. Day  41
More on Integration and iterated integrals. Fubini's Theorem. 
12What about 4 variables: 13, 31, 22 ?
5 variables? 23, 32? 
44 More on Integration and iterated integrals.

45 Average Value The area problem.11.2(?) Beginningbasic properties.applications volumes. Integration over compact regions. 
47 More Integration over compact regions. 
48 .. Properties of integration
in the plane. Begin Cross products More on planes and normal vectors with cross products.. 
13  411 Cross Product

412 Application to tangent plane. More Integration in the plane. Begin Polar coordinates 
414 Polar coordinates curves in the plane. 
415 Tangents. Arc length in Polar coordinates 
14 Exam #2 Self Scheduled for Wednesday 420 
4181 Integration with Polar Coordinates. 
419 More integratioion with Polar Coordinates.The integral of exp(x^{2}).  421 Applications of integration in the plane and space to mass.  422 Begin Integration in 3D. Cartesian coordinates 
15  425More Applications of integration (mass, probability and means?) 
426
Begin cylindrical and spherical coordinates
Integration in Cylindrical. 
428 More Integration in Cylindrical and spherical coordinates Integration surface Area.
Briefly 23 visualized 
429 . More work on integration and spherical coordinaates. 
16  52 Vector fields and line integrals
22 Transformations and vector fields. 
53 Integration Over curves. Vector fields and line integrals

55 Green's theorem?  56 Review.!? 