Week of 
Topics 
Suggested Practice Problems 
Jan 23

Functions of Several Variables
Functions of Two Variables: 12.1
Graphs of Functions of Two Variables: 12.2

12.1:# 1,5,7,11,19,22,25,27,31
12.2:# 1,2,5,8,9,13,17,21

Jan 28

Contour Diagrams: 12.3
Linear Functions: 12.4
Functions of Three Variables: 12.5

Section 12.3:# 1,35,7,10,17,28,30
Section 12.4:# 1,79,11,13,15,20,25
Section 12.5:# 1,7,8,12,19

Feb 4

Vectors
Displacement Vectors: 13.1
Vectors in General: 13.2
The Dot Product: 13.3

Section 13.1: # 17 odd,11,13,15,19,21,22,24,30,34
Section 13.2: # 713 odd, 24
Section 13.3: # 1,5,7,1115odd,16,18,20,21,24,25,29,31,41

Feb 11

The Cross Product: 13.4
Differentiating Functions of Several Variables
The Partial Derivative: 14.1
Computing Partial Derivatives Algebraically: 14.2

Section 13.4: # 1,3,5,7,14,19,21,23
Section 14.1: # 1,3,7,8,15,21
Section 14.2: # 110,19,25,29,35,36,39

Feb 18

Local Linearity and the Differential: 14.3
Exam I

Sction 14.3: # 17,13,14,18

Feb 25

Gradients and Directional Derivatives in the Plane: 14.4
Gradients and Directional Derivatives in the Space: 14.5
The Chain Rule: 14.6

Section 14.4: #1,3,1521odd,25,28,29,3238,52,53,55,66
Section 14.5: #119odd, 23,24,27
Section 14.6: #113odd,19,27,28

March 3

Second Order Partial Derivatives: 14.7
Optimization: Local and Global Extrema
Local Extrema: 15.1
Constrained Optimization: Lagrange Multipliers: 15.3

Section 14.7: # 19odd, 35
Section 15.1: # 211, 19
Section 15.3: # 19odd, 28

March 10

Integrating Functions of Several Variables
The Definite Integral of a Function of Two Variables: 16.1
Iterated Integrals: 16.2

Section 16.1: # 1,3,5,9,11,23
Section 16.2: # 121odd,2731odd,32,35,39,41

March 17

Spring Break!

QUIZ4.PDF DUE MARCH 25th. 2008

March 24

Triple Integrals: 16.3
Double Integrals in Polar Coordinates: 16.4
Integrals in Cylindrical and Spherical Coordinates: 16.5

Section 16.3: # 14,513odd,15,19,21,23
Section 16.4: # 15,7,1120
Section 16.5: # 25,1418,2224,28,29,30

March 31

ExamII
Parametrization and Vector Fields
Parametrized Curves: 17.1

Section 17.1: # 1,3,13,15,19,21,27,31,34,45,47,51,57

April 7

Motion, Velocity and Acceleration: 17.2
Vector Fields: 17.3
The flow of a vector field: 17.4

Section 17.2: # 1,3,5,7,911,15,17,26
Section 17.3: # 1,3,7,9,13
Section 17.4: # 19

April 14

Line Integrals
The Idea of a Line Integral: 18.1
Computing Integrals over Patrametrized Curves: 18.2

Section 18.1: #1,214,16
Section 18.2: #117

April 21

Gradient Fields and PathIndependent Fields: 18.3
PathDependent Vector Fields and Green's Theorem: 18.4

Section 18.3: # 35,11,16,18,19,2124,32
Section 18.4: # 112, 16,17,18,21,23

April 28

Review


May ???

Final!!

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