Last updated: 332014 Work in progress!
Date Due  Assignment
Number 

WebAssign 
Related Graded problems are on WebAssign 

1/29 
0 
Review of Calc I and II  Look at Final Exams from Calc I and II  
1/2728 
1 
12.1 
HW #1 210 12.1 3D Coordinates  12.1: 17 odd, 11, 19,21,24,25, 28 

1/2830 
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 
2/34 
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 

2/6 
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 

2/7 
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 

2/7 
6 
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) 

2/1011 
6.5 
13.4
velocity
and
acceleration
(p862
866,Example 6) 
HW #6 13.3 Arc Length13.4 Velocity and acceleration  13.4:
17 odd, 913, 15,1719 

2/17 
7 
12.3 dot product  HW #7 M210 12.3 The Dot Product I  12.3: 1,3,4,810,15,16, 23, 25  
2/1718 
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 
2/18 
9 
12.5 819821 with example 4 12.3 p804805 13.1 (review?) 
HW #9 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 
2/20 
10 
13.2 pp 850851(omit Theorem 3.formula5)  HW #10 Math 210 Calculus of derivatives  13.3: 17b,19 b (curvature)  13.3:30 
2/22  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  
2/24  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  
2/27  13  14.1  HW #13 M210 Graphs of Functions  
2/28  14  14.3 read pp900903  HW #14 M210 Partial Derivatives  14.3: 3a,1529 odd  
3/3  15  14.3 read pp905908  HW #15 M210 More on Partial Derivatives!  14.3: 24,26, 34, 31, 37; 45, 49, 51, 58  
3/4  16  14.4 read pp 915919  HW #16 m210 Linear Estimates and Tangent Planes  14.4: 15,7  
3/5  17  14.4 read 919921  HW #17 M210 Differentials  14.4: 17,18, 2528, 31, 33,36  
3/7  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 
3/1011  19  14.5:
221
pp926928 14.5: implicit... pp928929  HW #19 M210 Sp14 The Chain Rule II HW #19.5 Sp14 Tutorial on Limits that fail.  14.5:
711 odd, 21,22, 39, 43 14.5: 2733 odd  
3/1424  20  14.3 read pp906908 14.6 pp933939  HW #20 F14 Directional Derivatives &The gradient  14.3: 71,73,77,78 14.6: 7,8, 5, 11 14; 2123,27, 30  
3/1424  21  14.6 p 940942  HW #21M210F14 level curves, surfaces and gradients  14.6:37,39,40,47;49,53  
3/27  22  14.7 pp 946ex.2 p947; p 951  HW #22 M210 F14 Extremes I  14.7: 513 odd (use technology to see extreme/saddle)  
3/28  23  14.7 p947953  HW #23 M210F14 Extremes II  14.7: 6,14,15,17  Read
notes on Quadratic Functions on line. p930 
4/3  24  14.8
pp 957961  HW #24 F14 Review of integration  14.7:
27,29,31 14.8:19 odd  
4/8  25  15.1 pp 951955  HW #25 F14 Integration I  15.1: 3a,5,9  12.6: 47,49 
4/10  26  15.1
pp974978 15.2 p982987  HW #26 M210F14 Integration II  15.1:
1113, 17,18 15.2:111 odd, 4, 8  
4/11  27  15.2 pp 961964 15.3 pp 965 969  HW #27 M210F14 Integration for planar regions I  15.2:
1315, 18, 25, 29 15.3: 19 odd, 8, 1115 odd  15.2:33 
4/1418  28 and 29  15.3 pp 969972 15.4  HW #28 M210 F14 Review of Polar
coordinates HW #29 M210F14 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 
4/2225  30 30A  12.4
cross
products
Notes on Cross Products 12.6 Surfaces  HW #30 M210S14 Quadric Surfaces HW #30A M210F14 Cross Product  15.3:
4547 odd, 51, 55,61 12.4: 19 odd, 13, 15, 23 2.6: 1117 odd, 2128, 3739, 41,43  12.6: 47,49 
4/2829  31A and B  15.7 Integration
in 3 space (rectangular).  HW #31 M210 F12 Triple Integrals  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 

Final Examination:
Self Scheduled : Covers material TBA 
Week/Day  Monday  Tuesday  Thursday  Friday  
1 
1/20 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 
1/27 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  2/3 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. Definite intgrals: Change in position  a vector. Lengths: segments, vectors, arcs. 10.2, 10.3, 13..3 speed Arc length as an integral 
13.4 velocity, speed and acceleration Arc length as an integral of speed. Smooth curves and parametrization (?) 

4 POW #1 Submit
Thursday 2/13 
2/10 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. 
Orthogonal vectors. Lines in the plane with dot products. Planes in Space. 
Projections and Dot products. Work and dot product 

5 Summary #1 Due 2/17  2/17
More on Work and dot products More Calculus for r'(t). 
Begin "2 controlling 1 variable" Tables . 
Scalar fields Level Curves and surfaces of functions of 2 and 3 Linear Functions, Equations: Revisit lines in the plane and Planes in Space. Begin visualize function with mapping diagram. 
The graph and mapping diagram of a function of 2 variables. Linear (Affine)Functions lines, planes and vectors. Begin Partial Derivative. 

6 #2 Curvature Due Feb 28 
2/24 More! on tangents, partial derivatives, planes and "Tangent Planes". 
Second order Partial derivatives.  Tangent planes. Start Differentials.Concepts and definitions 
Differentials, C^{1} and
differentiable functions. Geometry of differentiabilityTangent Planes 

7
Summary #2 Due 3/4 
3/3 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. 3/12 
3/10 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. 

3/17 to 3/21 No Classes. Spring Break 

9  3/24 . 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 4/4  3/31No
Class CC Day. 
4/1 Start Integration over rectangles 
More on Integration and
iterated integrals 
Fubini's Theorem. Beginning 

11 What about 4 variables: 13, 31, 22 ? 5 variables? 23, 32?  4/7 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 

12 POW #3 Submit Friday 4/18 
4/14 Polar coordinates review assigned. Begin Integration with Polar Coordinates. 
More integration with Polar
Coordinates. 
The integral of exp(x^{2}).  Quadric Surfaces 13.6? 

13Summary #4 Due 4/21 Exam #2 Self Scheduled 4/23  4/21 Cross Product

Cross
products More Integration in the plane. 
More on planes and normal vectors with cross products.. Begin Integration in 3D. Cartesian coordinates 
More on Integration in 3D Compact Domains bounded by Surfaces. A first look at other integration with one or two controlling variables. Vector fields and line integrals. 

14 
4/28 .
More integration Over curves. Curvature Formulae 13.3 
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? 
More work on integration and spherical coordinates.
Applications? 

15Summary #5 Due  5/5 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 12 10:2012:10 Art 27 
Thursday May 15 10:2012:10 FH 177 
Thursday May 15 12:4014:30 Art 27 
Friday May 16 10:2012:10 FH 177 