Homework Exercises Solutions

Grades











 

Math 2A  Tentative Schedule  Fall 2007

Monday

Tuesday

Wednesday

 Thursday

Friday

8/27  8/31

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

9.2  Vectors
1, 2, 3, 4, 6, 10, 11, 13, 17, 20, 22, 23, 25, 26, 28, 30, 32, 35, 36, 37

9.3 The Dot Product
1, 5, 7, 9, 11, 13, 17, 20, 22, 25, 26, 29, 33 34, 35, 37, 39, 41, 43, 44, 45

9.4 The Cross Product
1-33 odd & Discovery Project 1, 2, 3

9.5  Equations of Lines and Planes          1, 3, 8, 12, 13, 15, 17, 19, 23, 27, 29, 33, 40, 43, 45, 47, 49, 51, 53, 56

  9/4   9/7

Labor Day Holiday

9.6  Functions and Surfaces      
1-33 odd

9.7  Cylindrical and Spherical Coordinates
1-35 odd

Families of Surfaces
1,2,3

Review

  9/10  9/14

Review

Chapter 9 test

10.1 Vector Functions and Space Curves
4, 12, 16, 20, 24, 28, 30, 34, 38, 40

10.2 Derivatives and Integrals of Vector Functions  
4, 12, 18, 22, 26, 30, 42, 44

10.3 Arc Length and Curvature    4, 8, 12, 32, 38, 42, 49

   9/17  9/21

10.4 Motion in Space
4, 8, 12, 14, 16, 18, 22, 26, 28, 30, 32, 34, 36

10.5 Parametric Surfaces
2, 4, 6, 10, 18, 22, 24, 28, 30, 32

Review:
Page 727: Kepler's Laws

Review 
Page 735, 1-23 all

Review   
Page 736: 1-8 all

   9/24  9/28

Review

Chapter 10 Test.

11.1 Functions of Several Variables
1, 4, 6, 7, 9, 12, 13, 20, 22, 26, 30, 36, 42

11.2 Limits and Continuity
3, 4,6, 10, 14, 18, 22, 30, 32, 35, 36

11.3 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

  10/1   10/5

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

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

11.6 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

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

Designing a Dumpster
Page 811

10/8  10/12

Quadratic Approximations and Critical Points
Page 812

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

Rocket Science
Page 820

Hydro-Turbine Optimization
Page 821

Review

  10/15  10/19

Review

Chapter 11 Test

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

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

12.3 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

  10/22   10/26

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

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

12.6 Surface Area
2, 5, 6, 8, 10, 12, 15, 17, 19, 21, 23, 27, 28

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

12.8 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

 10/29   11/1

Roller Derby
Page 888

Intersection of Three Cylinders
Page 889

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

Review

Review

 11/5   11/9

Review

Chapter 12 Test

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

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

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

 11/12   11/16

Holiday

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

13.5 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

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

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

  11/19   11/23

13.7 Stokes Theorem
1, 2, 3, 5, 6, 7, 9, 11, 13, 15, 16, 17

13.7 Stokes Theorem
18, 19, 20

13.8 The Divergence Theorem
1, 2, 3, 5, 7, 9, 10, 11, 13, 15, 16, 17, 18, 20, 22, 23

Thanksgiving Holiday

Thanksgiving Holiday

 11/26   11/30

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

13.9 Summary

Review

Review

Holiday

 12/3   12/7

Review

Chapter 13 Test

Review

Review

Review

 12/10 - 12/12

Review
(Last Day of Class)

Final Exam