Last updated: 1212013 Work in progress!
Date Due  Assignment
Number 

WebAssign 
Related Graded problems are on WebAssign 

1/24 
0 
Review of Calc I and II  Look at Final Exams from Calc I and II  
1/25 
1 
12.1 
HW #1 210 12.1 3D Coordinates  12.1: 17 odd, 11, 19,21,24,25, 28 

21  2 
10.1 [review] Read Consider what
this has to do with vectors. 10.2 645647:tangents 12.2 pp770 774 
HW #2 210 Section 12.2 Introduction
to Vectors 
10.1: 10,12, 1416, 44, 31 10.2: 1,2,3,5,6 12.1: 1, 3, 4, 11, 15, 2329 odd 12.2: 17,19,21,2325, 37 
38, 39, 41,46,47 
25  3 
3.1 10.2 Reread 645647 12.5 (i) pages 816819(lines in space) 
HW # 3 M210 12.5 and 13.1 Vectors, lines, and vector valued functions.  13.1: 3,4,1924, 7,9,11,25,27 10.2: 7, 9,11, 15, 23, 30 12.5: 24,7,13 

27  4 
13.2 vector derivatives and
tangent vectors: pp847850(middle) 
HW #4 M210 13.2 Tangent Vectors
(derivatives and integrals) 
13.2: 1,35,9,13,14 

211  5 
13.2 integrals and de's p851 
HW #5 210 Tangent Lines, Integrals, DE's (13.2)  13.2: integrals 3339 odd, 38, 40 

Not Yet Assigned  
211 
10.2 :arc length 13.2 p848 (Unit tangent vector) 13.3 arc length ( pp 853855 middle ) 

10.2: 3741, 45, 51 13.2: 1719, 27, 29 13.3: 14,7, 8 (arc length) 

212 
6 
13.4
velocity
and
acceleration
(p862
866,Example 6) 
HW #6F12 13.3Arc Length13.4 Velocity and accelerat  13.4:
17 odd, 913, 15,1719 

215 
7 
12.3 dot product  HW #7 M210 F1212.3 The Dot Product I  12.3: 1,3,4,810,15,16, 23, 25  
219 
8 
12.3 (angles and projections)again... :) 
HW #8 M210F12 12.3 The Dot Product II  13.2: 41,45,49 12.3: 57, 11, 17, 18, 21, 24, 26,27; 35,36,41,42, 50 
13.2: 42,44 
221 
9 
12.5 819821 with example 4 12.3 p804805 13.1 (review?) 
HW #9 M210 F12 Dot Products III (Lines and Planes)  12.5: 5,19,2329 odd 12.3:45,47, 48, 51, 52 13.1: 28,29, 32 
12.3:54,
5759 
222 
10 
13.2 pp 850851(omit Theorem 3.formula5)  HW #10 Math 210F12 Calculus of derivatives  13.3: 17b,19 b (curvature)  13.3:30 
222 
11 
14.1
pp878882 Online Materials on 1 controlling 2 or 3 variables 
HW #11 m210f12 Functions of 2 or 3 Variables  14.1: 1,2, 59 odd, 15,17  
225 
12 
14.1 pp 882887  HW #12M210 F12 Level curves: 2 and 3 var  14.1:Sketch
a
scalar
field
for
the integer lattice of [2,2]x[2,2] : 2127,3743 odd
Not reported on Blackboard. 14.1: 30, 3538, 5560 (Graphs) 14.1: 17, 31, 32, 65,69 

226 
13 
14.1 
HW #13 M210 F12 Graphs of Functions  
228 
14 
14.3 read pp900903  HW #14A M210 F12 Partial Derivatives  14.3: 3a,1529 odd  
15 
14.3 read pp905908  HW #15 M210F12 More on Partial Derivatives!  14.3: 24,26, 34, 31, 37; 45, 49, 51, 58  
16 
14.4 read pp 915919  HW #16 m210F12 Linear Estimates and Tangent Planes  14.4: 15,7  
17 
14.4 read 919921 
HW #17 M210 F12 Differentials  14.4: 17,18, 2528, 31, 33,36  
18 
14.2 pp 892897 14.4 Finish Section. 14.5: 121 pp924925 (Ex. 2) 
HW #18 M210 F12 The Chain Rule I  14.2: 3,4, 511odd 14.4: 11, 12, 35, 37 14.5: 14, 13, 35 
14.4: 45,46  
19 
14.5:
221
pp926928 14.5: implicit... pp928929 
HW #19 F12 Tutorial examples on Limits that fail.  14.5:
711 odd, 21,22, 39, 43 14.5: 2733 odd 

20  14.3 read pp906908 14.6 pp933939 
HW #20 F12 Directional Derivatives &The gradient  14.3: 71,73,77,78 14.6: 7,8, 5, 11 14; 2123,27, 30 

21  14.6 p 940942  HW #21M210F12 level curves, surfaces and gradients  14.6:37,39,40,47;49,53  
22 
14.7 pp 946ex.2 p947; p 951  HW #22 M210 F12 Extremes I  14.7: 513 odd (use technology to see extreme/saddle)  
23 
14.7 p947953  HW #23 M210F12 Extremes II  14.7: 6,14,15,17  Read
notes on Quadratic Functions on line. p930 

44 
24 
14.8
pp 934938 
HW #24 F12 Review of integration  14.7:
27,29,31 14.8:19 odd 

45/8 
25 
12.6
Surfaces
15.1 pp 951955 
HW #25 F12 Integration I  12.6:
1117
odd,
2128,
3739,
41,43 15.1: 3a,5,9 
12.6: 47,49 
26 
15.1
pp956958 15.2 p959960 
HW #26 M210F12 Integration II  15.1:
1113, 17,18 15.2:111 odd, 4, 8 

27 
15.2 pp 961964 15.3 pp 965 969 
HW #27 M210F12 Integration for planar regions I  15.2:
1315, 18, 25, 29 15.3: 19 odd, 8, 1115 odd 
15.2:33  
28 and 29 
15.3 pp 969972 15.4 
HW #28 M210 F12 Review of Polar
coordinates HW #29 M210F12 Integration with polar coordinates 
15.3: 12,19, 3941
15.4: 113 odd 
REVIEW: Read
10.3 on Polar coordinates. Read 10.5 on conics! See also: wikipedia on the Conic_section 

30 
12.4
cross
products
Notes on Cross Products 
HW #30 M210F12 Cross Product 
15.3:
4547 odd, 51, 55,61 12.4: 19 odd, 13, 15, 23 

31  15.7 Integration
in 3 space (rectangular). 
HW #31 M210 F12 Triple Integrals  15.7:111 odd  
15.8and 15.9 Cylindrical and spherical
coordinates. pp10271029; 10331036 
HW #32 M210 F12 Cylindrical Integration  15.8: 15 

12.4: pp790792 15.7: pp10021003 15.8: pp10071009 
15.7: 17, 21 15.8: 17,21 

16.1 16.2 pp 10341036; pp10411043 
16.1: 1, 1118; 2932 16.2:1,3; 19, 21 

16.3 pp10461048; 10491053 16.4 pp10551058 
16.3: 1, 35, 13 

15.5 pp980, 985988  15.5:1, 27,
29 15.7:111 odd, 17 15.5: 3(mass only) 15.6: 3,9,11,13,33 
Darts 15.5:33 

Final
Examination: Self Scheduled : Covers material TBA 
Week/Day  Monday  Tuesday  Thursday  Friday  
1 
1/21 MLK
Day
No Class 
Introduction
Begin review
Variables relationsfunctions.
What is calculus? Differential Equations? 
13.1 Introduction to 3dimensional coordinate
geometry. 
More on 3 dim. coordinate geometry. Introduction to vectors. 

2 
1/28 More on Vectors and visualization of vector algebra  More vector stuff. 
13.2 "1
variable controlling 2" 11.1 Parametric curves and vectors. 
Visualizations: Transformations and graphs. More on vectors and functions "1 variable controlling 2," 2 controlling 1". 

3  2/4 More on vector algebra 12.5 Lines: parametric and vector equations 2 &3 dim..  11.1 Parametric curves
. Visualizations:13.1, 13.2 Vector functions, tangent vectors and velocity. 
The tangent problem 11.2 "1 variable controlling 2 (or 3) ."Begin:Derivatives,Tangent lines, Differential equations and integrals . 13.2 
Tangent lines, Lengths: segments, vectors, arcs. 10.2, 10.3, 13..3 speed 13.4 Acceleration Arc length as an integral of speed. Smooth curves. 

4 
2/11 Smooth curves. Finish up 1 variable controlling 2 and 3. The calculus of the"vector" derivative The Dot Product. 12.3. 
More on dot products. Geometry of dot product with angles. Orthogonal vectors. Lines in the plane with dot products. 
Planes in
Space. Projections and Dot products. 
Work and dot
products More Calculus for r'(t). 

5 Summary #1 Due 2/18  2/18Begin "2 controlling 1 variable" Tables and Scalar fields. 
Level Curves. Linear Functions, Equations: Revisit Planes in Space. 
Graphs and level curves of functions of 2 and 3 variables. 
Application of derivative calculus The graph of a function of 2 variables. Begin Partial Derivative. Linear (Affine)Functions lines, planes and vectors. 

6 
2/25 More! on tangents, partial derivatives, planes and "Tangent Planes". 
Second order Partial derivatives.  The Differentials.Concepts and
definitions 
Differentials, C^{1} and
differentiable functions. Geometry of differentiability Tangent planes. 

7
Summary #2 Due 3/8 POW Optional 37 
3/4 The Chain Rule (121) [Limits and
Continuity. Closeness, Approximations.?] 
Implicit Differentiation 
What is continuity? What does differentiable mean? Implicit Differentiation 
Gradient and level curve/surfaces. 

8 Exam #1 Self Scheduled Wednesday 3/13 
3/11 Chain Rule(221) 
(Review for exam #1) Begin Directional derivatives and the gradient. Geometry of the gradient. 
More Gradient and level surfaces  Tangent planes from gradients.  
3/18 to 3/22 No Classes. Spring Break 

9  3/25 . More on Tangent Planes. Testing for extremes. 
The discriminant test. Quadratic forms. 
Odds and ends 
.Taylor and functions of 2 variables. (Synopsis) Extrema on compact sets LaGrange Multiplier 

10 Summary #3 Due 45 or 48  4/1 No Class
CC Day. 
Start Integration over rectangles 
More on Integration and
iterated integrals Fubini's Theorem. Beginningbasic properties.applications volumes. 
Integration over compact regions. 

11 What about 4 variables: 13, 31, 22 ? 5 variables? 23, 32? 
4/8 Average Value The area problem.11.2(?) 
More Integration over compact regions 
Properties of integration in the plane.



12 Summary #4 Due 
4/15 Examples for changing order
of Integration factors in integration [e^(x^2y^2)] Polar coordinates review assigned. 
Begin Integration with Polar
Coordinates. 
Polar coordinates review. Begin Integration with Polar Coordinates. 
More integration with Polar
Coordinates. The integral of exp(x^{2}). 

13 Exam #2 Self Scheduled TBA 
4/22 Cross Product  More Integration in the plane. 
Quadric Surfaces 13.6? Cross products More on planes and normal vectors with cross products.. 
Begin Integration in 3D. Cartesian coordinate  
14 
4/29 .Applications of
integration in the plane and space to mass, probability
and means? Integration in Cylindrical and spherical coordinates 
More work on integration and spherical coordinates. Applications? Surface Integrals.I 
A first look at other integration with one or two controlling variables. Vector fields and line integrals.  Integration Over curves. Curvature Formulae 13.3 

15Summary #5 Due  5/6 FT of calculus for line integrals. 
Finish Surface Area and Surface
integrals II. More Integration. Conservative fields. 
More on
conservative fields. Green's theorem. 
Briefly 23 visualized More! Application to tangent plane. Applications of integration in the plane and space to mass. Linear regression and "least squares." Review.!? 
16 Final Examination Self scheduled Review Session: Sunday TBA 
Monday May 13 10:2012:10 
Tuesday
May 14 10:2012:10 
Wednesday, May 15 12:4014:30 

Friday, May 17 10:2012:10. 