MTH 243 Sections 2 and 3, Spring 2013

Topics and Practice Problems

  Week of    

                Topics

           Suggested Practice Problems

Jan 21

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

Section 12.1:# 1,3,4,5,7,9,11,22,24
Section 12.2:# 1,2,5,9,12,14

Jan 28

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

Section 12.3:# 1,2,3,5,7,9,11,13,16,17
Section 12.4:# 1,3,5,9,10,15,21,23,25
Section 12.5:# 1,3,4,11

Feb 4

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

Section 13.1: # 3,5,6,7,9,15,21,25,27,29,31
Section 13.2: # 1,7,8,11,13,14,21,24
Section 13.3: # 1,5,7,6,11,13,15,17,19,23,29,31,33,35,36,37,41,43,45,55

Feb 11

The Cross Product: 13.4
The Partial Derivative: 14.1
Computing Partial Derivatives Algebraically: 14.2

Section 13.4: # 1,3,5,7,11,12,13,15,21,23,25,27
Section 14.1: # 1,3,7,9,10,11,12,13,14,17,19,22
Section 14.2: # 1,3,5,7,8,9,11,13,17,19,20,27,35,43

Feb 18

Local Linearity and the Differential: 14.3
Gradients and Directional Derivatives in the Plane: 14.4

Section 14.3: # 1,3,7,9,11,22
Section 14.4: # 1,3,5,7,9,11,15,17,19,23,25,31,33,47,48,71,72,76

Feb 25

Exam I, Thursday, Feb 28
Gradients and Directional Derivatives in the Space: 14.5
The Chain Rule: 14.6

Section 14.5: # 1,3,7,17,19,25,27,29,53,57
Section 14.6: # 1,3,9,13,18,21, #85 page 784

Mar 4

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

Section 14.7: # 1,3,5,7,9,19,21
Section 15.1: # 1,3,5,7,9,11,17,24,29
Section 15.3: # 1,3,5,13

Mar 11-17

Spring Break

 

Mar 18

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

Section 16.1: # 1,3,9,11,15,27
Section 16.2: # 1,3,5,7,11,13,19,21,29,35,37,43,45

Mar 25

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

Section 16.3: # 1,3,5,7,11,17,21,35
Section 16.4: # 1,3,5,6,7,9,13,15,20,21,22,23
Section 16.5: # 1,3,5,8,9,11,13,15,19,25,27,29,31

Apr 1

Parameterized Curves: 17.1
Motion, Velocity and Acceleration: 17.2

Section 17.1: # 2,4,7,9,13,17,19,21,29,31,33,36,49,57
Section 17.2: # 1,3,5,7,11,13,15,25,29

Apr 8

Exam II, Thursday, Apr 11
Vector Fields: 17.3

Section 17.3: # 1,3,5,7,9,10,11,13,15,17,

April 15

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

Section 18.1: # 1,2,3,7,9,21,22,33
Section 18.2: # 1,4,5,7,9,10,11,13

April 22

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

Section 18.3: # 1,9,10,11,13,19,21,22,23,29,39
Section 18.4: # 1,4,5,6,9,14,15,17,20,21

Apr 29

Classes end Tues