MTH 243 Sections 2 and 3, Spring 2014

     (Practice problems are added as we cover the material.)

Topics and Practice Problems

  Week of    

                Topics

           Suggested Practice Problems

Jan 20

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

Section 12.1: #1,2,3,4,6,7,9,10,11,13,18,20,21,24,28,35
Section 12.2: #2,3,4,5,7,8,11,12,13,15,16,17,23,24,26

Jan 27

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

Section 12.3: #1,2,3,4,5,7,8,9,11,14,16,17,28
Section 12.4: #1,2,3,5,7,8,9,10,13,21,22,23
Section 12.5: #1,2,3,4,5,6,12,15

Feb 3

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

Section 13.1: #1,2,3,5,6,7,9,11,15,17,21,25,27,28,30,31,32
Section 13.2: #6,7,9,10,11,13,15,17,25
Section 13.3: #1,3,5,6,7,11,13,15,17,19,21,22,23,25,27,33,39,43,47

Feb 10

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

Section 13.4: #1,3,5,7,13,14,15,20,23,29,30
Section 14.1: #1,3,4,5,6,7,8,10,11,13,14,15
Section 14.2: #2,3,5,7,9,11,13,17,26,31,32,39,40,49

Feb 17

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

Section 14.3: #2,3,5,11,13,17,21,22,25
Section 14.4: #1,5,7,9,15,19,23,25,27,33,36,37,51,66,74

Feb 24

Exam I, Thursday, Feb 27
Gradients and Directional Derivatives in the Space: 14.5
The Chain Rule: 14.6

Section 14.5: #3,5,17,18,19,21,25,28,30,33,57,58,61
Section 14.6: #3,7,11,16,19,21,25

Mar 3

Second Order Partial Derivatives: 14.7
Local Extrema: 15.1
Constrained Optimization: Lagrange Multipliers: 15.3 (Read only)

Section 14.7: #1,3,23,27,41
Section 15.1: #1,3,4,5,9,12,15,17,21,25,32,33

Mar 10-16

Spring Break

 

Mar 17

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

Section 16.1: #1,7,9,11,17,19,21,25
Section 16.2: #1,3,5,7,13,15,17,19,28,30,33,34,39,40,45,46

Mar 24

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

Section 16.3: #1,2,5,7,9,11,13,31,32,37,39,50
Section 16.4: #1,2,3,4,9,11,12,19,21,29,31
Section 16.5: #1,3,5,9,11,19,21,22,23,73,74

Mar 31

Parameterized Curves: 17.1
Motion, Velocity and Acceleration: 17.2

Section 17.1: #1,2,3,4,5,6,7,9,11,19,21,23,25,27,33,35,39,40
Section 17.2: #1,3,5,7,9,11,13,14,26,28

Apr 7

Exam II, Thursday, Apr 10
Vector Fields: 17.3

Section 17.3: #1,2,3,4,5,6,7,8,10,11,13,15,17,21,22,23,24

April 14

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

Section 18.1: #1,2,3,4,5,7,8,9,11,27
Section 18.2: #1,2,3,4,5,7,8,12,14,16,22,33

April 21

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

Section 18.3: #1,3,13,14,17,19,24,31,32
Section 18.4: #1,2,3,5,6,11,12,13,14,15

Apr 28

Classes end Tues