MTH243, Spring 2009

Topics and Assignments
   

  Week of    

                Topics

           Suggested Practice Problems

Jan 19

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

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

Jan 26

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

Section 12.3:# 1,3-5,7,10,17,28,30
Section 12.4:# 1,7-9,11,13,15,20,25
Section 12.5:# 1,7,8,12,19

Feb 2

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

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

Feb 9

The Cross Product: 13.4
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: # 1-10,19,25,29,35,36,39

Feb 16

Local Linearity and the Differential: 14.3

Section 14.3: # 1-7,13,14,18

Feb 23

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: #1,3,15-21odd,25,28,29,32-38,52,53,55,66
Section 14.5: #1-19odd, 23,24,27
Section 14.6: #1-13odd,19,27,28

March 2

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

Section 14.7: # 1-9odd, 35
Section 15.1: # 2-11, 19
Section 15.3: # 1-9odd, 28

March 9

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: # 1-21odd,27-31odd,32,35,39,41

March 23

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

Section 16.3: # 1-4,5-13odd,15,19,21,23
Section 16.4: # 1-5,7,11-20
Section 16.5: # 2-5,14-18,22-24,28,29,30

March 30


Parameterized Curves: 17.1

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

April 6

Motion, Velocity and Acceleration: 17.2
Vector Fields: 17.3

The flow of a vector field: 17.4

Section 17.2: # 1,3,5,7,9-11,15,17,26
Section 17.3: # 1,3,7,9,13

Section 17.4: # 1-9.

April 13

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

Section 18.1: #1,2-14,16
Section 18.2: #1-17

April 20

Gradient Fields and Path-Independent Fields: 18.3
Path-Dependent Vector Fields and Green's Theorem: 18.4

Section 18.3: # 3-5,11,16,18,19,21-24,32
Section 18.4: # 1-12, 16,17,18,21,23

April 27

Review