Last updated: 8182012 Work in progress!
Date Due  Assignment
Number 

WebAssign 
Related Graded problems are on WebAssign 


824 
0 
Review of Calc I and II  Look at Final Exams from Calc I and II  
827/28 
1 
12.1 
HW #1 210 F12 12.1 3D Coordinates  12.1: 17 odd, 11, 19,21,24,25, 28 

831/94 
2 
10.1 [review] Read Consider what
this has to do with vectors. 10.2 645647:tangents 12.2 pp770 774 
HW #2 210 F12 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  
9/710 
3 
3.1 10.2 Reread 645647 12.5 (i) pages 816819(lines in space) 
HW # 3 M210 F12 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 

9/1011 
4 
13.2 vector derivatives and
tangent vectors: pp847850(middle) 
HW #4 M210F12 13.2 Tangent Vectors
(derivatives and integrals) 
13.2: 1,35,9,13,14 

9/14 
5 
13.2 integrals and de's p851 
HW #5 210F12 Tangent Lines, Integrals, DE's (13.2)  13.2: integrals 3339 odd, 38, 40 

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) 

9/1417  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 

9/10 
Summary 1 Weeks 13+ 

9/19 
7 
12.3 dot product  HW #7 M210 F1212.3 The Dot Product I  12.3: 1,3,4,810,15,16, 23, 25  
9/20 
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  
9/2124 
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 

9/25 
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  
9/2527 
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  
9/2710/1 
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 

10/2 
13 
14.1 
HW #13 M210 F12 Graphs of Functions  
10/2 Summary #2weeks 4  6 + 

10/4 
14 
14.3 read pp900903  HW #14 M210 F12 Partial Derivatives  14.3: 3a,1529 odd  
10/5 
15 
14.3 read pp905908  HW #15 M210F12 More on Partial Derivatives!  14.3: 24,26, 34, 31, 37; 45, 49, 51, 58  
10/8 
16 
14.4 read pp 915919  HW #16 m210F12 Linear Estimates and Tangent Planes  14.4: 15,7  
10/9 
17 
14.4 read 919921 
HW #17 M210 F12 Differentials  14.4: 17,18, 2528, 31, 33,36  
10/11 
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 

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

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 

Examination #2  Self Scheduled for ... Wed.
Nov. 14. Covers material assigned through 15.4 HW 29 

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 

Not
Yet Assigned 

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 
8/20 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 
8/27More 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  9/3 Labor Day Holiday No Class 
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 

4 Summary #1 Due 9/10 
9/10 Differential equations and integrals of vector
functions. 13.2 Lengths: segments, vectors, arcs. 10.3, 
13..3 speed Smooth curves. 13.4 Acceleration Arc length as an integral of speed. Smooth curves. 
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.  
5  9/17 Planes in
Space. 
Begin "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. 

6 
9/24 Work and dot products  925 The Calculus
for r'(t). 
927 Application of derivative
calculus The graph of a function of 2 variables. 
928 Graphs and level
curves of functions of 2 and 3 variables. 

7 Summary #2 Due 10/2  10/1Begin Partial
Derivative. Linear (Affine)Functions lines, planes and vectors. 
10/2 Second order Partial
derivatives.More on tangents, partial derivatives, planes
and "Tangent Planes". [Limits and Continuity. Closeness, Approximations.?] 
12/4 The Differentials.Concepts and
definitions 
10/5 The Chain Rule (121) 

8 
10/8 I mplicit Differentiation Differentials, C^{1} and differentiable functions. Geometry of differentiability Tangent planes. 
10/9 What is continuity? What does differentiable mean? Implicit Differentiation 
10/11 Gradient and level curve/surfaces. 
10/12 Chain Rule(221) Begin Directional derivatives and the gradient. Geometry of the gradient. 

9Exam #1 Self Scheduled Wednesday 10/17 
10/15 More Gradient and level surfaces. 
10/16 (Review for exam #1) Tangent planes from gradients. 
10/18 More on Tangent Planes. Testing for extremes. 
10/19 The discriminant test. Quadratic forms. 

10 Summary #3 Due 10/26  10/22 More
odds and ends. Taylor and functions of 2 variables. (Synopsis) 
10/23 Extrema on compact sets LaGrange Multiplier Start Integration over rectangles 
10/25 More on Integration and
iterated integrals Fubini's Theorem. Beginningbasic properties.applications volumes. 
10/26 Integration over compact
regions. 

11 What about 4 variables: 13, 31, 22 ? 5 variables? 23, 32? 
10/29 Average Value The area problem.11.2(?) 
More Integration over compact regions 
Properties of integration in the plane.



12 Summary #4 Due 11/9 
11/5 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 
11/12 Veteran's Day No class 
11/17 Cross Product More Integration in the plane. 
11/19 Quadric Surfaces 13.6? Cross products More on planes and normal vectors with cross products.. 
Begin Integration in 3D. Cartesian coordinate  
14 Break 
Thanksgiving
Break
No classes 

15Summary #5 Due 12/1 
11/26 .Applications of
integration in the plane and space to mass, probability
and means? Integration in Cylindrical and spherical coordinates 
11/27 More work on integration and spherical coordinates. Applications? Surface Integrals.I 
11/29 A first look at other integration with one or two controlling variables. Vector fields and line integrals. 
11/30 Integration Over curves. Curvature Formulae 13.3 

16  12/3 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.!? 

17 Final Examination Self scheduled Review Session: Sunday Sample Final Exam Questions will be available on Moodle by ???. 
Mon: 12/10 10:20 FOR 107 12:40 Harry Griffith Hall 226 
Tues: 12/11 10:20 FOR 107 7 