Math 2A – Multivariate Calculus – 3306 – Fall 2011
curl        Divergence

Syllabus     Calendar    Links    Problems   Grades

 

 

Monday

Tuesday

Wednesday

Thursday

Week 1

8/29

12.1  Three Dimensional Coordinate Systems    
2, 3, 4, 5, 6, 9, 10, 12, 13, 16, 18, 19-36, 37, 40

12.2  Vectors
2, 3, 4, 6, 11, 13, 17, 22, 25, 26, 28, 32, 35, 39, 45,
46

12.3 The Dot Product
1, 5, 9, 11, 13, 17, 20, 25, 26, 29, 33, 34, 39, 41, 43, 44, 45, 49, 51, 53, 57, 59

12.4 The Cross Product
1-41 every other odd & 43, 44, 45, 48
Check out the Discovery Project

Week 2 

9/5



Labor Day Holiday


12.5: Equations of Lines and Planes         
1, 3, 8, 12, 13, 17, 23, 29, 33, 40, 45, 53, 56, 63, 69, 71, 77


12.6
  Cylinders and Quadric Surfaces      
1-49 every other odd


Week 3

  9/12

 

Chapter 12 Review

 

Chapter 12 Review

 

Chapter 12 Review

 

Chapter 12 Test


Week 4

9/19


13.1
Vector Functions and Space Curves
4, 12, 14, 19-24, 27, 29, 33, 35, 41, 44, 45


13.2
Derivatives and Integrals of Vector Functions  
4, 12, 18, 22, 26, 30,
41-51


13.3
Arc Length and Curvature   
4, 8, 12, 16, 18, 22, 28, 32, 38, 40, 42, 49, 51, 53, 60

 

Week 5

9/26


13.4 Motion in Space
5, 8, 11, 14, 16, 18, 22, 26, 28, 32, 34, 36, 40, 42


Kepler's Laws


Chapter 13 Review


Chapter 13 Test.

Week 6

10/3


14.1 Functions of Several Variables
1, 4, 6, 7, 9, 12, 13, 20, 22, 26, 30, 36, 42 14.2 Limits and Continuity
3, 4,6, 10, 14, 18, 22, 30, 32, 35, 36

14.3 Partial Derivatives
2, 3, 4, 5, 8, 10, 12, 16, 18, 20, 22, 24, 28, 30, 32, 34, 36, 40, 42, 48, 54, 62, 68, 72, 78, 82

14.4 Tangent Planes and Linear Approximations
1, 4, 6, 8, 13, 16, 17, 22, 23, 27, 31, 34, 37, 38, 42

14.5 The Chain Rule
1, 2, 6, 7, 8, 11, 12, 14, 16, 19, 20, 24, 28 31, 34, 36, 38, 42, 44, 47

Week 7

10/10

14.6 Directional Derivatives and the Gradient Vector
2, 6, 7, 10, 13, 16, 18, 21, 24, 28,30, 32, 35, 38, 40, 42, 44, 48, 50, 54

14.7 Maximum and Minimum Values
2, 4, 7, 9, 13, 16, 20, 24, 27, 30, 32, 36, 38, 40, 42, 48, 49, 50

Quadratic Approximations and Critical Points
Page 812

14.8 Lagrange Multipliers
1, 4, 6, 8, 10, 12, 14, 17, 21, 24, 28, 30, 32, 34, 42, 44

  Week 8

10/17

Review

Chapter 14 Test

15.1 Double Integrals over Rectangle
2, 4, 6, 7, 9, 10, 11, 13, 15, 17, 18

15.2 Iterated Integrals
2, 4, 8, 10, 12, 15, 16, 18, 20, 22, 24, 27, 29, 31, 33, 34

Week 9

10/24

15.3 Double Integrals over General Regions
1, 3, 5, 8, 10, 12, 14, 15, 18,22, 25, 28, 30, 32, 35, 37, 40, 42, 46, 52, 54

15.4 Double Integrals in Polar Coordinates
1, 3, 5, 8, 10,12, 16, 15, 18, 20, 22, 24, 27, 28, 30, 32, 33

15.5 Applications of Double Integrals
2, 4, 6, 9, 12, 13, 16, 17, 20, 22, 26, 27

15.6 Triple Integrals
2, 5, 6, 8, 10, 12, 15, 17, 19, 21, 23, 27, 28, 34, 35, 42,
51, 52, 53

Week 10

10/31

15.7 Triple Integrals in Cylindrical Coordinates
1, 2, 6, 8, 9, 11, 15, 17,  22, 24, 26, 30, 32, 36, 38, 40, 42, 44, 46, 48, 49

15.8 Triple Integrals in Cylindrical and Spherical Coordinates
1, 2,4, 6, 7, 9, 11, 14, 16, 18, 21, 23, 26, 27, 28, 30, 32, 34, 35, 37

15.9 Change of Variables in Multiple Integrals
1, 2, 3, 4, 5, 6, 7, 9, 12, 13, 15, 16, 17, 19, 21, 23, 24

Review

 Week 11

11/7

Chapter 15 Test

16.1 Vector Fields
2, 4, 6, 8, 10, 12, 14, 17, 18, 20, 22, 26, 28, 32, 35, 36

16.2 Line Integrals
1, 4, 6, 8, 10, 12, 14, 15, 17, 19, 22, 24, 26, 27, 29, 31, 34, 36, 38, 40, 42

16.3 The Fundamental Theorem for Line Integrals
1, 2, 5, 7, 8, 9, 11, 13, 16, 18, 20, 22, 23, 26, 27, 30, 32, 34

Week 12

11/14

16.4 Green's Theorem
1, 4, 6, 8, 9, 11, 12, 14, 16, 18, 21, 23, 25, 26, 27, 28, 29

16.5 Curl and Divergence
1, 4, 5, 6, 8, 10, 13, 14, 16, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37

16.6 Parametric Surfaces and Their Areas
2, 6, 8, 9, 12, 16, 19, 23, 26, 32, 33, 37, 41, 47, 53, 55, 57, 58, 59, 60

16.7 Surface Integrals
1, 2, 4, 6, 7, 10, 12, 14, 16, 18, 19, 21, 23, 25, 27, 28

  Week 13

11/21

16.7 Surface Integrals
30, 31, 32, 33, 34, 36, 38, 39, 40, 41, 42, 43

16.8 Stokes Theorem
1, 2, 3, 5, 6, 7, 9, 11, 13, 15, 16, 17,
18, 19, 20

16.9 The Divergence Theorem
3, 4, 5, 6, 10, 13, 14, 16, 19, 21, 22, 23

Thanksgiving Holiday

 Week 14

11/28

16.9 The Divergence Theorem
24, 25, 26, 27, 28, 29, 30, 31, 32

16.10 Summary
and review

Chapter 16 Review

Chapter 16 Test

 Week 15

12/5

Review

Review

Review

Review

 Week 16

12/12

 

 

 

Final Exam