MTH 243 Sections 2 and 3 Spring 2018

Topics and Practice Problems

(Section assignment for each week is approximate. At any given point, we may be ahead or behind the syllabus.)

  Week of    

                Topics

           Suggested Practice Problems

Jan 22

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 29

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 5

Displacement Vectors: 13.1 (Read before class)
Vectors in General: 13.2 (Read before class)
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 12

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 19

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 26

Gradients and Directional Derivatives in the Space: 14.5
The Chain Rule: 14.6
Second Order Partial Derivatives: 14.7

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
Section 14.7: #1,3,23,27,41

Mar 5

Exam I, Tuesday, Mar 6
Local Extrema: 15.1
The Definite Integral of a Function of Two Variables: 16.1
Iterated Integrals: 16.2

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

Spring Break

 

Mar 19

Triple Integrals: 16.3
Double Integrals in Polar Coordinates: 16.4

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

Mar 26

Integrals in Cylindrical and Spherical Coordinates: 16.5
Parameterized Curves: 17.1
Motion, Velocity and Acceleration: 17.2

Section 16.5: #1,3,5,9,11,19,21,22,23,73,74
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 2

Vector Fields: 17.3
The Idea of a Line Integral: 18.1

Section 18.1: #1,2,3,4,5,7,8,9,11,27
Section 17.3: #1,2,3,4,5,6,7,8,10,11,13,15,17,21,22,23,24

Apr 9

Computing Integrals over Parameterized Curves: 18.2

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

Apr 16

Exam II, Tuesday, Apr 17
Gradient Fields and Path-Independent Fields: 18.3

Section 18.3: #1,3,13,14,17,19,24,31,32

Apr 23

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

Section 18.4: #1,2,3,5,6,11,12,13,14,15

Apr 30

Classes end M