MTH 243 Sections 2 and 4, Spring 2010

Topics and Practice Problems

See revisions due to flood at the bottom of the page.

  Week of    

                Topics

           Suggested Practice Problems

Jan 25

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

Feb 1

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 8

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 15

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 22

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

Mar 1

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 8

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 15

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 29

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 5

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 12

Vector Fields: 17.3

The flow of a vector field: 17.4

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

Section 17.4: # 1,5,7

April 19

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 26

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

REVISIONS TO THE CALLENDAR AND THE SYLLABUS DUE TO FLOOD

15.3 Reading recommended. The section will not be included in Exam 2 or Final.

17.2 Read please. The section WILL be included in the Final.

17.4 Reading recommended. The section will not be included in Exam 2 or Final.

18.4 Reading recommended. The section will not be included in Exam 2 or Final.

Approximate schedule for the remainder of the semester:

Thu, Apr 15, Finish 16.5; 17.1.

Tue, Apr 20, 17.3; begin 18.1.

Thu, Apr 22, Exam 2. The Exam covers from 14.3 to 16.5 (including both ends).

Tue, Apr 27, Finish 18.1; 18.2.

Thu, Apr 29, 18.3.

Revised: April 14, 2010.