Last updated: 1/20/01
| Week
/Day |
Monday | Wednesday | Friday |
| 1 | 1/22 Introduction-
Begin review Variables- relations-functions. What is calculus? Differential Equations? |
1/24 Introduction to 3-dimensional coordinate geometry. 13.1 | 1/26 Introduction to vectors. 13.2 |
| 2 | 1/29 Visualizations: Transformations and graphs. | 1/31 More on vectors and functions
"1 variable controlling 2," 2 controlling 1". |
2/2Parametric curves . 11.1 and |
| 3 | 2/5
Lines: parametric and vector equations 2 &3 dim. 13.5 The tangent problem 11.2 "1 variable controlling 2 (or 3)." |
2/7 Vector functions, tangent vectors and velocity. 14.1, 14.2 | 2/9 Lengths: segments, vectors, arcs. 11.3, 14.3 speed |
| Week/Day | Monday | Wednesday | Friday |
| 4 | 2/12 Smooth curces. Differential equations and integrals of vector functions. | 2/14 Acceleration 14.4 and Curvature Formulae 14.3 | 2/16 The Dot Product. 13.3. |
| 5 | 2/19 More on dot products. | 2/21Finish up 1 variable controlling 2 and 3. Calculus
for r'(t).
Curvature Formulae 14.3 |
2/23Begin "2 controlling 1 variable". Graphs.
Scalar fields |
| 6 | 2/26 Graphs and level curves of Functions with 2 controlling variables. Begin Partial Derivatives | 2/28 Second order Partial derivatives.
Start Tangent Planes |
3/2 Tangent Planes, Differentials.
Start limits and continuity |
Assignment Problem List I
Not yet complete.
|
|
Due |
|
|
| Review of Calc I and II] | 1/24 | Look at Final Exams from Calc I and II | |
| 11.1 2/2 Read- Consider what this has to do with vectors. | (i) 2/5
(ii) ? |
(i) 1-7 odd, 17,19,23, 22, 28
(ii) 4,6,8, 11-13, 25, 40 |
34, 35, 37,42,43 |
| 11.2 (i) (682-685:tangents)
(ii) (iii) (685-687: area) |
(i)2/7
(ii) 2/9 (iii)2/19 |
(i) 1,3,5,6,8
(ii) 9, 11,13, 15, 25, 32 (iii) 33- 35, 39 |
(i)
(ii) (iii) |
| 11.3 arc length (689-691 middle) | 2/12 | 1-5, 9, 15 | |
| 13.1 | (i) 1/26
And (ii) 1/29 |
(i) 1, 3, 4, 7, 11, 13, 15, 23-29
odd
(ii) 5, 6, 21, 31,33,35-37 |
(i) 19 |
| 13.2 | (i) 1/31
(ii) 1/31 |
(i) 7-9,13,14
(ii)17,19,21,23-25, 29 |
|
| 13.5 (i)
(ii) read pages 848-849 to example 4 (iii) |
(i) 2/7
(ii) 2/21 (iii) (iv) |
(i) 2-5,7,11,
17;
(ii) 19-25 odd (iii)27, 29, 31,49; (iv) 51, 53-55, 61, 63 |
|
| 14.1 | (i)2/9
(ii)2/12 |
(i) 3,4,7-13, 16, 17,21,23
(ii) 24,25, 28 |
(ii)33 |
| 14.2 vector derivatives and
tangent vectors
integrals and de's |
(i) 2/9
more (ii) 2/12 (iii) 2/14 (iv)2/23? |
(i) 1,3-5,9,13,14
(ii) 17-19, 27, 29 (iii) 33-39 odd, 38, 40 (iv)41,42,44,45,49 |
|
| 14.3 (i) arc length (883-885)
(ii) Curvature I (885-Ex.3) (iii) Example 5 |
(i)2/14
(ii) 2/23 (iii) |
(i)1-6
(ii)11b,13 b,18 (iii)21-23,29,31,32 |
|
| 14.4 velocity and acceleration(891-895) | (i) 2/16 | (i)1-7 odd, 9-13, 15,17-19 | |
| 13.3 dot product | (i)2/19
(ii) 2/21 (iii)2/21 |
(i) 1,3,4,8-10,15,16, 23, 24, 29, 30
(ii) 5-7, 11, 17, 18, 21, 25-28, 31, 54 (iii) 39,40,45,46 |
49,51, 53, 55, 56, 58, 61-63 |
| 15.1 | (i) 2/26
(ii) 2/26 (iii)2/28 (iv) 3/2 |
(i) 1,2, 5-9 odd, 15,17
(ii) Sketch a scalar field for the integer lattice of [-2,2]x[-2,2] : 21-27,35-41 odd (iii) 30, 35-37,43, 51-56 (iv) 9, 19, 33, 34, 61,65 |
|
| 15.2 3/9 | Read the examples. | 3,4, 5-11odd, 21,25, 27 | |
| 15.3 | (i)2/28
(ii)3/2 (iii) 3/5 |
(i) 3,11-25 odd
(ii) 6, 20,22, 32, 35, 37, 43, 45,46, 51, 56 (iii) 63, 65, 66, 68(a,c), 69, 76 |
87 |
| 15.4 | (i) 3/5
(ii) 3/5 (iii) 3/9 |
(i) 1-5,7
(ii) 23-27,29, 17,18,31,36 (iii) 11, 12, 35, 37 |
(iii)41,42 |
| 15.5 (i) 1-2-1 p952-3 (Ex. 2)
(ii) 2-2-1 p953-956 (iii) implicit... p956-7 |
(i)3/9
(ii)3/12 (iii)3/12 |
(i) 1-4, 13, 33
(ii) 7-11 odd, 19,20, 37, 41 (iii) 25-31 odd |
|
| 3/14-3/15 Exam #1 covers Assigned Material through 3/12. 11.1-11.3, 13.1,13.2,13.3,13.5, 14.1-14.4. 15.1-15.5. | |||
| 15.6 | (i) 3/14
(ii) 3/16 |
(i)7,8, 3,5, 11 -14
(ii) 21-23,27, 32a,34,35,45 |
|
| 15.7 | (i) 3/26
(ii)3/26 |
(i)5-13 odd
(ii)6,14,15,17, 27,29,31 |
|
| 15.8 pp985-989 | 4/2 | 1-9 odd,23-31 odd | |
| 13.6 | 4/6 | (i) 9-15 odd, 21-28, 37-39, 41,43 | 47,49 |
| 16.1 | 4/9 Read
4/11 (i) & (ii) |
(i)Look at 3a,5,9 (will not be collected till
4/11)
(ii) 11-13, 17,18 |
|
| 16.2 | 4/13 (i)
4/16 (ii) |
(i)1-11 odd, 4, 8, 25
(ii) 13-15, 18, 29 |
|
| 13.4 | 4/13 Read section.
(i) 4/16 (ii) 4/18 |
(i) 1-9 odd, 13, 15
(ii) 23, 29,30, 33, 41,42,43 |
18 |
| 16.3 | (i) 4/18
(ii) 4/20 (iii) 4/23 |
(i)1-9 odd, 8
(ii) 11-15 odd, 12,19, 33-35 (iii) 39-43 odd, 44, 45 |
|
| 16.5 1034-1038 (probability) | 5/4 | 23, 25 | |
| 11.4 | (i) 4/23
(ii)4/25 (iii)4/25 |
(i) 1-3,5,7-11, 15-17, 31-35
(ii)33-45 odd, 56 (iii) 57-65 odd |
(ii) 71-73,81 |
| 4/27 Examination #2 (In-class) Covers material assigned through 4/23. 15.5-15.8, 13.6, 16.1-16.3, 13.4 | |||
| 11.5 p707 polar coordinates | 4/30 | 45-49 odd | |
| 13.7 Cylindrical and spherical coordinates. | 5/4 Read
5/7 Do problems |
3-9 odd, 13-19 odd, 31,35,36,9, 40, 49-51, | |
| 16.4 Integration in polar coordinates. | Read 4/25
(i)4/30 (ii)5/2 |
(i)1-11 odd
(ii) 15-17, 19-23 odd, 27, 33 |
|
| 16.7 Integration in 3 space (rectangular). | (i) 5/2
(ii) 5/4 |
(i)1-11 odd, 17
(ii) 25, 37 find mass only, 47 |
|
| 16.8 Integration in 3 space (Cylindrical and polar) | (i)5/7
(ii) 5/9 |
(i)1,2, 5,7 , 15
(ii) 3,17,33,35 |
|
| Week/Day | Monday | Wednesday | Friday |
| 7 | 3/5 Limits and Continuity. Closeness, Approximations... concepts and defintions. | 3/7 Differentials, C1 and differentiable functions.The geometry
of differentiability- Tangent planes.
The Chain Rule (1-2-1) |
3/9 Chain rule continued. 2-2-1 chain rule |
| 8Exam #1 | 3/12 Directional derivatives and the gradient. Geometry of the gradient. | 3/14 Local Extremes and the gradient continued. | 3/16 Testing for extremes. |
| 9 | 3/19 No Class (Break) | 3/21 | 3/23 |
| 10 | 3/26 Quadratic forms.
extrema on compact sets. C1 implies differentiable? Mixed partials are equal.? |
3/28 Finish discussion of the discriminant test.
LaGrange Multiplier, extremes, and odds and ends. |
3/30 No Class |
| 11 | 4/2 What about 4 variables: 1-3, 3-1, 2-2
Quadric Surfaces 13.6 |
4/4 Quadric Surfaces 13.6
The area problem.11.2(?) |
4/6Linear regression and "least squares." 15.7 problem 51. |
| 12 | 4/9 Start Integration over rectangles | 4/11 More on Integration and iterated integrals.
Fubini's Theorem. Cross products. Beginning-basic properties. |
4/13 More cross product- applications volumes. |
| Week/Day | Monday | Wednesday | Friday |
| 13 | 4/16 Integration over compact regions.More on planes and normal vectors with cross products.. | 4/18
More Integration in the plane. Cross Product Application to tangent plane. |
4/20 Properties of integration in the plane.
Polar coordinates- curves in the plane. Tangents. |
| 14Exam #2 | 4/23 More Polar coordinates. | 4/25 Integration with polar coordinates. | 4/27 Exam #2 (in class) |
| 15 | 4/30 The integral of e^(-x^2). Application of integration in the plane
to mass and probability. Arc length in Polar coordinates.
Integration in 3D. Cartesian coordinates. |
5/2 More integration in 2 and 3 dimensions and probability.
Cylindrical coordinates. |
5/4 Begin spherical coordinates
Integration in Cylindrical. |
| 16 Talks Cancelled. | 5/7 More Integration in Cylindrical and spherical coordinates | 5/9 Integration over curves and surfaces.?
Vector fields and line integrals? |
5/11Review.!? |
Assignment Problem List II
Not yet revised from 3rd Edition
| Chapter.Section (pages). | Problems | Interesting/optional |
| 11.9
(i) (ii) Read Ex.3&5 |
[Use only first two components]
(i) 1-4 (ii) 15, 16, 20, 21, 26, 27 |
Assignment Problem List IV
| Chapter.Section (pages). | Problems | Interesting/optional |
| 9.4 (i)Polar Coordinates 12-5
(ii) Curves sketching 12-5 (iii) Tangents 12-5 |
(i)1-4,7-9,13-15, 17-21,25-27,31-35
(ii) 37-53 odd (iii) 63-71 odd |
59,60,62,75,77,78,84 |
| 9.5 arc length p576-7 12-8 | 43-47 odd | |
| 11.10 (i) cylindrical coordinates 12-10
(ii)spherical coordinate 12-12 |
(i) 1-9 odd, 51-53 (a)
(ii)13-27 odd, 33-37, 51-53(b) |
|
| 13.3 integration over regions in the plane(i) 12-5
(ii)12-10 |
(i) 1-5, 7-13 odd, 19,21
(ii)33-35, 39,41 |
31 |
| 13.4 integration in polar coordinates 12- 10 | 1-9 odd,14, 15, 19,25 | 32 |
| 13.7 Triple integrals (rectangular) (i)12-10
(ii) 12-12 |
(i)1-11 odd, 17
(ii) 25, 37 find mass only, 47 |
|
| 13.8 Triple integrals (cylindrical & polar) 12-12 | 1-3, 5,7 , 15,17,33,35 |
Assignment Problem List V
| 11.4 Cross Product due 11/19 | (i) 1-5, 9-11, 14, 19, 21, 22, 25, 26, 29
(ii) 35-37, (read example 5) 31 |
|
| 11.5 (i) Lines due 11/10
(ii) Planes due 11/19 (iii)Planes due 11/21 |
(i) 1,3,5,11,13,17
(ii) 19, 21, 23, 25, 27. 31, 35, 55 (iii) 41-43, 47, 51, 61, 63, 69 |
|
| 11.7 due 12/1 | (i) 1-6, 7-9, 15, 17
(ii) 27-29, 33, 34, 41,42, 46 (iii) 51, 57, 58, 61, 70, 71, 73 |
74 |
| 13.1 (i) due 11/14
(i) due 11/17 |
(i) 1, 3, 5
(ii) 6-8, 10 |
|
| 13.2 (i) due 11/14
(ii) due 11/17 |
(i) 1,3, 5-8, 23
(ii) 15-17, 25-27, 35 |