1

10.1

Vectors in the Plane

p723-726. 1-27,  31-41,  47-55,  93,  94,  99-104all

2

10.2

Vectors in Space

p732-734. 1-55,  61-71,  77-85,  91-95

10.3

Dot Product

p741-742. 1-33,  45,  47

3

10.4

Cross Product

p750-751. 1-17, 41, 43, 57-61

10.5

Lines and Planes in Space

p759-761. 3-21, 63-71

4

10.6

Surfaces in Space

p771-772. 7-15, 19-29

10.7

Cylindrical and Spherical Coordinates

p778. 1-23

5

11.1

Vector-Valued Functions

p791-793. 1-15, 23-27, 31-37, 59-79

6

Test

7

11.2

Vector-Valued Functions;
Differentiation and Integration of

p800-801. 1, 3, 7-15, 27-35, 43-59

8

11.3

Velocity and Acceleration

p808-809. 1-15, 19-29, 35, 36, 37

9

11.4

Tangent and Normal Vectors

p817-818. 1-9, 21-27, 31, 37, 39

11.5

Arclength and Curvature

p828. 1-9

10

12.1

Functions of Several Variables

p846-847. 1-11, 17-27, 31-37, 49-53

11

Test

12

12.2

Limits and Continuity

p856-858. 7-23, 37-47

12.3

Partial Derivatives

p865-867. 5-29, 33-39, 51-63, 69, 71, 91, 92

13

12.4

Differentials

p874-875. 1-17, 25, 27, 31,  (supplementary)

12.5

Chain Rules for Functions of Several Var.

p882. 1-7, 15-19, 23, 25, 27-41

14

12.6

Directional Derivatives and Gradients

p893-895. 1-31, 47-50all, 63, 73

15

12.7

Tangent Planes and Normal Lines

p902-903. 5-33, 39-43, 47, 49

16

12.8

Extrema of Functions of Two Variables

p911-912. 7-11, 21-27, 45, 47, 51

12.9

Applications of Extrema

p917. 1, 5, 7, 9

17

12.10

Lagrange Multipliers

p927-928.  5-11, 15-25, 31, 33

18

13.1

Iterated Intergrals and Area in Plane

p942-943.  11-61

19

Test

20

13.2

Double Integrals and Volume

p951-952. 7-29, 33-41, 49, 51

13.3

Polar Coordinates

p960-961. 1-31, 37-41

21

13.4

Center of Mass and Moments of Inertia

p969. 1-7, 11-21

13.5

Surface Area

p976. 1-17

22

13.6

Triple Integrals and Applications

p986-987. 1-7, 13-25, 31-43

23

13.7

Triple Integrals-Cylindrical and Spherical

p993. 1-5, 9, 13 (cyl. only), 15 (cyl. only), 17,  23, 25

13.8

Change of Variables - Jacobians

24

14.1

Vector Fields

p1017-1018. 1-6all, 7-15, 21-41, 51-55, 89

25

Test

26

14.2

Line Integrals

p1029-1030. 1-19, 21-25, 29-33, 43-61

28

14.3

Vector Fields and Independence of Path

p1039-1040. 1-35

29

14.4

Green's Theorem

p1048-1049. 1, 3, 7, 11-17

30

Review

31

FINAL EXAM

Optional