MTH 243 Sections 2 and 3 Spring 2019

Topics and Practice Problems

  Week of    

                Topics

           Suggested Practice Problems

Jan 21

Classes start W
Functions of Two Variables: 12.1
Graphs of Functions of Two Variables: 12.2

Section 12.1: #1,3,5,7,8,9,10,11,12,13,14,,17,18,19,23,27,33,37,41,43;
Section 12.2: #1,3,6,7,9,11,13,15,16,17,18,19,20,21,34,35,43,44,45,47,53;

Jan 28

Contour Diagrams: 12.3
Linear Functions: 12.4

Section 12.3: #1,2,3,4,5,7,9,10,11,16,18,30;
Section 12.4: #1,2,3,4,5,7,10,11,12,21,22,25,35,36,46,47,50,52,57;

Feb 4

Functions of Three Variables: 12.5
Displacement Vectors: 13.1 (Read before class)
Vectors in General: 13.2 (Read before class)

Section 12.5: #1,2,3,4,6,8,9,10,16,17,19,20,30,47,49,51,53;
Section 13.1: #1,2,3,4,5,7,9,11,15,17,21,25,29,31,33,34,37,38,39,41,54,55,56,59,60;
Section 13.2: #1,2,4,6,7,8,9,10,11,15,17;

Feb 11

The Dot Product: 13.3
The Cross Product: 13.4

Section 13.3: #1,3,4,5,11,15,17,19,21,23,25,28,29,30,31,32,34,35,36,40,42,44,51,52,59,63,71;
Section 13.4: #1,3,5,9,11,24,29,34;

Feb 18

The Partial Derivative: 14.1
Computing Partial Derivatives Algebraically: 14.2
Local Linearity and the Differential: 14.3

Section 14.1: #1,4,5,6,8,11,13,15,17,19,20,29;
Section 14.2: #3,5,7,9,11,23,24,25,31,35;
Section 14.3: #1,3,5,7,9,11,13,26,29,37;

Feb 25

Gradients and Directional Derivatives in the Plane: 14.4
Gradients and Directional Derivatives in the Space: 14.5

Section 14.4: #1,7,11,15,17,19,21,23,25,27,29,31,33,45,47,49,75,97;
Section 14.5: #3,7,13,17,19,21,25,27,69;

Mar 4

Exam I, Tuesday, Mar 5
The Chain Rule: 14.6
Second Order Partial Derivatives: 14.7
Extrema: 15.1

Section 14.6: 1,3,7,9,18,19,20,27,29,47;
Section 14.7: 1,3,5,7,8,23,25,49;
Section 15.1: 1,2,3,4,8,14,15,19,21,25,29,41,42,53,54;

Mar 11

Spring Break

Mar 18

Constrained Optimization: Lagrange Multipliers: 15.3 (Read only)
The Definite Integral of a Function of Two Variables: 16.1
Iterated Integrals: 16.2

Section 15.3: None;
Section 16.1: 1,3,9,11,17;
Section 16.2: 1,3,5,7,15,17,19,21,23,25,,34,36,39,43,44,53,54,60,61,62,65;

Mar 25

Triple Integrals: 16.3
Double Integrals in Polar Coordinates: 16.4

Section 16.3: 1,2,5,7,9,11,13,15,37,39,45,55;
Section 16.4: 1,3,4,5,9,11,16,17,19,20,21,31,34,36,49;

Apr 1

Integrals in Cylindrical and Spherical Coordinates: 16.5
Parameterized Curves: 17.1

Section 16.5: 3,4,5,8,9,11,13,15,19,21,23,24,25,29,31,51;
Section 17.1: 1,2,3,6,7,9,11,13,15,19,20,23,27,53,61,62,65,76;

Apr 8

Motion, Velocity and Acceleration: 17.2
Vector Fields: 17.3

Section 17.2: 1,3,6,7,9,17,19,22,26,57;
Section 17.3: 1,2,3,4,5,6,7,8,11,12,15,21,31;

Apr 15

Exam II, Tuesday, Apr 16
The Idea of a Line Integral: 18.1

Section 18.1: 1,2,3,9,11,32;

Apr 22

Computing Integrals over Parameterized Curves: 18.2
Gradient Fields and Path-Independent Fields: 18.3
Path-dependent Vector Fields and Green's Theorem: 18.4

Section 18.2: 1,3,7,9,11,12,13,14,19,35,36,41;
Section 18.3: 1,3,5,13,17,18,19,24,35,37;
Section 18.4: 1,3,5,11,13,15,17,19;

Apr 29

Classes end T
Review