Last updated: 11810 Work in progress!
Date Due  Asignment
Number 

Related Graded problems are on WebAssign 


1/22 
1 
Review of Calc I and II  Look at Final Exams from Calc I and II  
1/2225 
2 
12.1 
12.1:
17 odd, 11, 19,21,24,25, 28 

1/2829 
3  10.1 Read Consider what this has to do with vectors.  10.1: 10,12, 1416, 44, 31  38, 39, 41,46,47  
1/2829 
4 
[review]10.2 630632:tangents 12.1 12.2 pp770 774 
10.2: 1,2,3,5,6 12.1: 1, 3, 4, 11, 15, 2329 odd 12.2: 17,19,21,2325, 37 

1/292/1 
5  13.1  13.1: 3,4,1924, 7,9,11,25,27  
2/12 
6  10.2 Reread 630632 12.5 (i) pages 794797 (lines in space) 13.2 vector derivatives and tangent vectors: pp824826(middle) 
10.2: 7, 9,11, 15, 23, 30 12.5: 24,7,13 13.2: 1,35,9,13,14 

2/24 
7 
13.2 integrals and de's p8278 
13.2: integrals 3339 odd, 38, 40 

2/58
* 
8 
10.2 :arc
length 13.2 p825 (Unit tangent vector) 13.3 arc length ( pp 830831 ) 
10.2: 3741, 45, 51 13.2: 1719, 27, 29 13.3: 14,7, 8 (arc length) 

2/89 
9 
13.4
velocity
and
acceleration
(p838 842,Example 6) 
13.4:
17
odd,
913,
15,1719 

Summary 1 Weeks 13+ 

2/911 
10 
12.3 dot product  12.3: 1,3,4,810,15,16, 23, 25  
2/1112 
11  13.2
pp
826827
(omit
Theorem 3.formula5) 12.3 (angles and projections)again... :) 
13.2: 41,45,49 12.3: 57, 11, 17, 18, 21, 24, 26,27; 35,36,41,42, 50 
13.2: 42,44  
2/1216 
12  12.5
794798 with example
4 12.3 p7834 13.1 (review?) 
12.5:
5,19,2329
odd 12.3:45,47, 48, 51, 52 13.1: 28,29, 32 
12.3:54,
5759 

2/1618 
13  13.3 Curvature I (p832and Ex.3)  13.3: 17b,19 b (curvature)  13.3:30  
2/1922 
14  14.1 pp
855859 Online Materials on 1 controlling 2 or 3 variables 
14.1: 1,2, 59 odd, 15,17  
2/1922  15  14.1 pp 860865  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 

2/1922? 
Summary #2  weeks
4

6
+ 

2/2223 
16  14.3 read pp878881  14.3: 3a,1529 odd  
2/2325 
17 
14.3 read pp881885  14.3: 24,26, 34, 31, 37; 45, 49, 51, 58  
2/2526 
18 
14.4 read pp 892893  14.4: 15,7  
2/2526 
19 
14.4
read
893898

14.4: 17,18, 2528, 31, 33,36  
2/263/1 
20 
14.2
pp
870875 14.4 Finish Section. 
14.2:
3,4,
511odd 14.4: 11, 12, 35, 37 
14.4: 45,46  


3/14 
21 
14.5: 121 pp901902 (Ex. 2)  14.5: 14, 13, 35  
3/48 
22 
14.5: 221 pp903905  14.5: 711 odd, 21,22, 39, 43  
3/93/11 
23 
14.5: implicit... pp905907 
14.5: 2733 odd  
3/83/11 
24 
14.3
read
pp
886889 14.6 pp910916 
14.3:
71,73,77,78 14.6: 7,8, 5, 11 14; 2123,27, 30 

3/93/11 
25 
14.6 p 917919  14.6:37,39,40,47;49,53  
3/2526 
26  14.7 pp 922ex.1 p923; p 928  14.7: 513 odd (use technology to see extreme/saddle)  
3/2326 
27  14.7 p923929  14.7: 6,14,15,17  Read
notes on Quadratic Functions on line. p930 

4/12 
28  14.8
pp
934938 
14.7:
27,29,31 14.8:19 odd 

29  12.6
Surfaces 15.1 pp 951955 
12.6:
1117
odd,
2128,
3739, 41,43 15.1: 3a,5,9 
12.6: 47,49  
4/58 
30  15.1
pp956958 15.2 p959960 
15.1:
1113,
17,18 15.2:111 odd, 4, 8 

4/812 
31 
15.2 pp 961964 15.3 pp 965 969 
15.2:
1315,
18,
25,
29 15.3: 19 odd, 8, 1115 odd 
15.2:33  
4/1215 
32  15.3 pp 969972 15.4 
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 

4/1519 
33 
12.4
cross
products
Notes on Cross Products 15.5 pp980, 985988 
15.3:
4547
odd,
51,
55,61 12.4: 19 odd, 13, 15, 23 15.5:1, 27, 29 
Darts 15.5:33 

Examination #2  Self Scheduled for ... Tuesday, April 20
evening and Wednesday April 21. Covers material assigned from sections:14.214.8;15.115.4; 12.4 

4/224/29 
34 
15.6 Integration in 3 space (rectangular). 15.7and 15.8 Cylindrical and spherical coordinates. pp10001002; 10051006 
15.7:111 odd, 17 15.5: 3(mass only) 15.6: 3,9,11,13,33 15.7:111 odd 15.8: 15 

4/224/30 
35 
12.4: pp790792 15.7: pp10021003 15.8: pp10071009 
15.7: 17, 21 15.8: 17,21 

4/305/3 
36 
16.1 16.2 pp 10341036; pp10411043 
16.1: 1, 1118; 2932 16.2:1,3; 19, 21 

37 
16.3 pp10461048; 10491053 16.4 pp10551058 
16.3: 1, 35, 13 

Final Examination: Self Scheduled : Covers material assigned assignments 119; and from sections 12.4; 14.214.8;15.115.4, 15.7, 15.8 ; 16.1, 16.2. 
Week/Day  Monday  Tuesday  Thursday  Friday 
1 
118 Martin Luther King Day
No Class 
119 Introduction
Begin review
Variables relationsfunctions. What is calculus? Differential Equations? 
13.1 Introduction
to 3dimensional coordinate geometry. 

2 
125 More on 3 dim.
coordinate geometry. Introduction to vectors. 
More on vectors and functions 13.1 "1 variable controlling 2" Transformations and graphs. "1 variable controlling 2," 2 controlling 1". 
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)." 
3
Summary #1 Due 25 
21 Begin:Derivatives,Tangent lines, Differential equations and integrals . 13.2  Differential
equations and integrals of vector
functions. 13.2 Lengths: segments, vectors, arcs. 10.3, 
13..3 speed Smooth curves. Acceleration 13.4 Arc length as an integral of speed. 
The Dot Product. 12.3. 
4 
28 More
on dot products. Smooth curves. Finish up 1 variable controlling 2 and 3. The calculus of the"vector" derivative 
More on dot products  Work and dot products 
Planes in Space. 
5Summary #2 Due 219 
215 The Calculus for r'(t). Curvature Formulae 13.3 
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. Begin Partial Derivative. 
6 
222 Linear (Affine)Functions lines,
planes and vectors. Second order Partial derivatives. 
More on tangents, partial derivatives, planes and "Tangent Planes".  The
Differentials.Concepts and definitions. 
Limits and Continuity. Closeness, Approximations. 
7
Exam
#1
Self
Scheduled 33 
31 Differentials, C^{1} and
differentiable functions. Geometry of differentiability Tangent planes. 
The Chain Rule (121) Chain Rule(221) 

Begin Directional derivatives and the
gradient.Geometry of the gradient. 
8 
38 Finish Gradient and level
curve/surfaces. 
What
is
continuity? What does differentiable mean? Implicit Differentiation More Gradient and level surfaces. Tangent planes from gradients. 
Whatever is still undone. :) 
No class Furlough Day 
9
Spring
Break 

10 
322 Testing for extremes.  Extrema on compact sets More odds and ends. 
The discriminant test. Quadratic forms.  LaGrange Multiplier 
11 Summary #3 Due 4/2  329 NO CLASS Flashman Furlough Day 
Start Integration over rectangles 
41 More on Integration and iterated
integrals 
Fubini's Theorem. 
12 What about 4 variables: 13, 31, 22 ? 5 variables? 23, 32? 
45 More on Integration and iterated
integrals. Beginningbasic properties.applications volumes. 
Integration over compact regions. 
48 Average Value The area problem.11.2(?) 
More Integration over compact regions 
13 Summary
#4
Due
4/16 
412 Properties of integration
in the plane. Examples for changing order of Integration factors in integration [e^(x^2y^2)] Polar coordinates review assigned. Begin Integration with Polar Coordinates. 
Quadric
Surfaces 13.6? Integration with Polar Coordinates. The integral of exp(x^{2}). 
Begin
Cross
products More Integration in the plane. 
. 4/16 More on planes and normal vectors with cross products. 
14 Exam
#2
Self
Scheduled
Tuesday/Wednesday 4/2021 
419 Application to tangent plane. Applications of integration in the plane and space to mass. Linear regression and "least squares." Begin Integration in 3D. Cartesian coordinates 
Applications of integration (mass, probability and means?)  Begin cylindrical and spherical coordinates  
15 
426Integration in Cylindrical and spherical coordinates  427 More work on integration and spherical coordinates.  429 More work on integration and spherical coordinates. Applications? 
430A first look at other integration wtih one or two controlling variables. 
16 Summary #5 Due 54/6?  53 Surface Integrals.I Vector fields and line integrals. 
Integration Over
curves II. FT of calculus for line integrals. 
Finish Surface Area and Surface integrals
II. More Integration. Conservative fields. Green's theorem. 
Briefly 23 visualized More! Review.!? 
17 Final Examination Self scheduled Review Session: Sunday 35. BSS 3** TBA Sample Final Exam Questions will be available on Moodle by TBA. 
Mon: 8:00 FOR 107 
Tues: 10:20 KA 104 
Thurs.: 10:20 KA 104  Fri: 10:20 KA 104 