Last updated: 2252015 Work in progress!
Date Due  Assignment
Number 

WebAssign 
Related Graded problems are on WebAssign 

1/23 
0 
Review of Calc I and II  Look at Final Exams from Calc I and II  
1/27 
1 
12.1 
HW #1 210 12.1 3D Coordinates  12.1: 17 odd, 11, 19,21,24,25, 28 

1/302/2 
2 
10.1 [review] Read Consider what
this has to do with vectors. 10.2 :(tangents) p645647 12.2 : pp791 797 
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 
2/3  3  13.1 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  
2/10 
Summary #1 due by 5:00pm. Cooperative Partnership Summaries: Every two/three weeks you will be asked to submit a summary of what we have covered in class. (No more than two sides of a paper.) These may be organized in any way you find useful but should not be a copy of your class notes. I will read and correct these before returning them. The summaries are to be submitted in a partnership (23 members). Exceptions by permission only. Each individual partner will receive corrected photocopies. Your summaries will be allowed as references at the final examination only. 

2/12 
POW #1 Problem of the Week #1: Thursday Feb 12 5:00 pm. 

2/611  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  
2/912  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  
2/1017  6  10.2 :arc length 13.2 p848 (Unit tangent vector) 13.3 arc length ( pp 853855 middle ) 13.4 velocity and acceleration (p862 866,Example 6)  HW #6 13.3 Arc Length13.4 Velocity and acceleration  10.2: 3741, 45, 51 13.2: 1719, 27, 29 13.3: 14,7, 8 (arc length) 13.4: 17 odd, 913, 15,1719  
217  7  12.3 dot product  HW #7 M210 12.3 The Dot Product I  12.3: 1,3,4,810,15,16, 23, 25  
220  8  12.3 (angles and projections)again... :)  HW #8 M210 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 
220  9 
13.2 pp 850851(omit Theorem 3.formula5)  HW #9 Math 210 Calculus of derivatives  13.3: 17b,19 b (curvature)  13.3:30 
223  10  12.5 819821 with example 4 12.3 p804805 13.1 (review?)  HW #10 M210 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 
224  11  14.1
pp878882 Online Materials on 1 controlling 2 or 3 variables  HW #11 m210 Functions of 2 or 3 Variables  14.1: 1,2, 59 odd, 15,17  
227  12  14.1 pp 882887  HW #12M210 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  
227  13  14.1  HW #13 M210 Graphs of Functions  
226  Summary #2 due by 5:00pm. Cooperative Partnership Summaries: Every two/three weeks you will be asked to submit a summary of what we have covered in class. (No more than two sides of a paper.) These may be organized in any way you find useful but should not be a copy of your class notes. I will read and correct these before returning them. The summaries are to be submitted in a partnership (23 members). Exceptions by permission only. Each individual partner will receive corrected photocopies. Your summaries will be allowed as references at the final examination only.  
32  14  14.3 read pp900903  HW #14 M210 Partial Derivatives  14.3: 3a,1529 odd  
33  15  14.3 read pp905908  HW #15 M210 More on Partial Derivatives!  14.3: 24,26, 34, 31, 37; 45, 49, 51, 58  
34  16  14.4 read pp 915919  HW #16 m210 Linear Estimates and Tangent Planes  14.4: 15,7  
35  17  14.4 read 919921  HW #17 M210 Differentials  14.4: 17,18, 2528, 31, 33,36  
35 
POW #2 Due Thursday March 5, 5 pm. Work for a Moving Particle.  
36  18  14.2 pp 892897 14.4 Finish Section. 14.5: 121 pp924925 (Ex. 2)  HW #18 M210 The Chain Rule I  14.2: 3,4, 511odd 14.4: 11, 12, 35, 37 14.5: 14, 13, 35  14.4: 45,46 
39  19  14.5:
221
pp926928 14.5: implicit... pp928929  HW #19 M210 Sp15 The Chain Rule II  14.5:
711 odd, 21,22, 39, 43 14.5: 2733 odd  
313  20  14.3 read pp906908 14.6 pp933939  HW #20 S15 level curves, surfaces and gradients  14.3: 71,73,77,78 14.6: 7,8, 5, 11 14; 2123,27, 30  
323  21  14.6 p 940942  HW #21 M210 S15 More Gradients  14.6:37,39,40,47;49,53  
330  22  14.7 pp 946ex.2 p947; p 951  HW #22 M210 S15 Extremes I  14.7: 513 odd (use technology to see extreme/saddle)  
42  23  14.7 p947953  HW #23 M210Sp15Extremes II  14.7: 6,14,15,17  Read
notes on Quadratic Functions on line. p930 
46  24  14.8
pp 957961  HW #24 SP 15 Review of integration  14.7:
27,29,31 14.8:19 odd  
47  25  15.1 pp 951955  HW #25 SP 15 Integration I  15.1: 3a,5,9  12.6: 47,49 
49  26  15.1
pp974978 15.2 p982987  HW #26 M210Sp 15 Integration II  15.1:
1113, 17,18 15.2:111 odd, 4, 8  
410  27  15.2 pp 961964 15.3 pp 965 969  HW #27 M210SP 15 Integration for planar regions I  15.2:
1315, 18, 25, 29 15.3: 19 odd, 8, 1115 odd  15.2:33 
414/17  28 and 29  15.3 pp 969972 15.4  HW #28 M210 SP 15 Review of Polar
coordinates HW #29 M210Sp 15 Integration with polar coordinates  15.3: 12,19, 3941
15.4: 113 odd1  REVIEW: Read
10.3 on Polar coordinates. Read 10.5 on conics! See also: wikipedia on the Conic_section 
4/21  30  12.6 Surfaces  HW #30 M210S15 Quadric Surfaces  15.3:
4547 odd, 51, 55,61 12.6: 1117 odd, 2128, 3739, 41,43  12.6: 47,49 
4/27 
31  15.7 Integration
in 3 space (rectangular). 
HW #31M210 Sp 15 Triple Integrals  
4/28  32  12.4
cross
products Notes on Cross Products 
HW #32 M210Sp 15 Cross Product  12.4: 19 odd, 13, 15, 23  
4/30 
33 
15.7 Integration
in 3 space (rectangular). 
HW #33 M210 S15 Triple Integrals II 
15.7:111 odd  
Below this line is not yet assigned!  
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 

HW #19.5 Sp15 Tutorial on Limits that fail.  
Week/Day  Monday  Tuesday  Thursday  Friday  
1 
1/19 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 
1/26 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  2/2 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 
More on DE's and integrals. 
13.4 Smooth curves and parametrization (?) 

4 Summary #1 Due 2/10 POW #1 Submit Thursday 2/13 
2/9 Smooth curves. Definite intgrals: Change in position  a vector. Arc length as an integral of speed. Lengths: segments, vectors, arcs. 10.2, 10.3, 13..3 speed Arc length as an integral.  velocity, speed Finish up 1 variable controlling 2 and 3. The calculus of the"vector" derivative 
The Dot Product. 12.3. Geometry of dot product with angles. Orthogonal vectors. Orthogonal vectors. 
acceleration More on dot products. 

5  2/16 Lines in the plane with dot products. Planes in Space. 
More Calculus for r'(t). Projections and Dot products. Work and dot product 
More on Work and dot products? Finish Velocity and Acceleration with example? Unit tangent vector. Revisit lines in the plane and Planes in Space. Begin "2 controlling 1 variable" Tables .Scalar fields Level Curves and surfaces of functions of 2 and 3 
Begin visualize function with mapping diagram. Linear (Affine)Functions and Equations: lines, planes and vectors. 

6 Summary #2 Due 2/26 
2/23 Begin the graph and mapping diagram of a function of 2 variables. 
Graphs and mapping diagrams  Begin Partial Derivative.  More! tangents, partial derivatives, planes and
"Tangent Planes". Second order Partial
derivatives. Start Differentials.Concepts and definitions 

7
POW #2 Due March 5. Work for a Moving Particle. 
3/2 Differentials, C^{1} and
differentiable functions. Geometry of differentiabilityTangent Planes 
The Chain Rule (121) [Limits and
Continuity. Closeness, Approximations.?] 
Implicit Differentiation Chain Rule(221) What is continuity? What does differentiable mean? 
Definition of limit. Review of continuity and differentiability. Gradient and level curve/surfaces. 

8 Exam #1 Self Scheduled Wed. 3/11 
3/9 Begin Directional derivatives and the gradient. 
Geometry of the gradient. (Review for exam #1) 
More Gradient and level surfaces Tangent planes from gradients. 
More on Tangent Planes. Testing for extremes. 

3/14 to 3/22 No Classes. Spring Break 

9Summary #3 Due 3/27 
3/23 . 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 POW #3 Submit Friday 4/3  3/30 Start Integration over rectangles 
3/31 No Class CC Day.  More on Integration and
iterated integrals 
Fubini's Theorem. Beginning 

11 What about 4 variables: 13, 31, 22 ? 5 variables? 23, 32?  4/6 Integration over compact regions.  Basic properties.applications volumes. The area problem.11.2(?) More Integration over compact regions 
Examples for changing order of
Integration factors in integration [e^(y^2)] 
Properties of integration in the plane.
Average Value 

12Summary #4 Due 4/13 POW #4 Due April 17 5:00 pm. 
4/13 More Change of Order example. Begin Integration with Polar Coordinates. 
Polar coordinates review assigned. More integration with Polar Coordinates. 
The integral of exp(x^{2}).  Quadric Surfaces 13.6? 

13 Exam #2 Self Scheduled Wed. April 22  4/20 Cross Product

More Integration in the plane. 
Cross
products Begin Integration in 3D. Cartesian coordinates 
More on cross products, planes and normal vectors More on Integration in 3D Compact Domains bounded by Surfaces. . 

14 POW # 5 Due May 1 5:00 pm. 
4/27 .
Finish Cross Product. More on Integration in 3D Compact Domains bounded by Surfaces. 
A first look at other
integration with one or two controlling variables. Parametrized curves and surfaces. Integration of functions over curves. 
Cylindrical coordinates. Integration of functions over curves. Vector fields and line integrals 
FT of calculus for line integrals. Integration in Cylindrical and spherical coordinates Applications of integration in the plane and space to mass, probability and means? 

15Summary #5 Due 5/5  5/4 ?More work on integration and spherical coordinates.
Applications? Curvature Formulae 13.3 Applications of integration in the plane and space to mass, probability and means? Surface Integrals.I 
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 11, 12:40 14:30  Wednesday May 13, 10:2012:10  Thursday May 14 10:2012:10 
Thursday May 14 3:004:50 
Friday May 15 10:2012:10 