MATH 113 Calculus II



Course Schedule



Please check this schedule regularly for updates.
This schedule is subject to change: last modified on Apr 27.
All practice problems are from Calculus, Early Transcendentals (6th edition) by James Stewart.

Week of

Lecture Topic

Webwork Assignment

Practice problems

Extra credit

Jan18

First day of class is Monday, January 18 (20 minute meeting)


12.1 Three-dimensional coordinate systems

12.1: 3, 11, 17

12.2: 4, 6, 7, 20, 23, 24, 25

Problem 1
and
Problem 1'

Jan 25

12.2 Vectors

12.3 The Dot Product

 

12.3: 24, 25, 27, 59


Problem 2

Feb 1

12.4 The Cross Product

  

12.4: 45

  
Feb 8

12.5 Equations of Lines and Planes

12.6 Cylinders and Quadric Surfaces

12.5: 59

12.6: 41

  
Feb 15

13.1 Vector Functions and Space Curves

13.2 Calculus of Vector Functions

13.1: 41, 42

13.2: 30a, 31, 32, 33-38, 50

  

Midterm Exam 1: Thursday, February 18, 7:00 – 9:00 pm, McGregory 215
Feb 22

13.4 Motion in Space; Kepler's Laws

13.4: 15, 16, 17a, 18a, 19, 20, 21, 22, 25, 26, 27, 41

  
Mar 1

14.1 Functions of Several Variables





14.2 Limits and Continuity

14.1: 21-30, 32, 35-38, 40, 41, 53, 54, 55-60

14.2: 7, 9, 11, 15, 21, 22, 23, 24

Here's the link with the online software that draws surfaces. Try it yourself with the functions we had in class and the ones that appear in the textbook exercises above.

  
Mar 8

14.3 Partial Derivatives


  

14.3: 86, 89, 92, 95


 
March 12 - March 21: Spring Break
Mar 22

14.4 Tangent Planes and Linear Approximations

14.5 The Chain Rule



14.5: 43

  
Mar 29

14.6 Directional Derivatives and the Gradient Vector

 14.6: 23, 28, 29, 36, 53  

Apr 5

14.7 Maximum and Minimum Values

14.8 Lagrange Multipliers

 14.7: 19 (use the online applet to draw graph), 41, 43
14.8: 9, 10, 14, 26, 29, 31, 45
(problems 29 and 31 require to find alternate solutions to the problems 41 and 43)		  
Midterm Exam 2: Wednesady, April 7, 5:00 – 7:00 pm, McGregory 209
Apr 12

15.1 Double Integrals over Rectangles

15.2 Iterated Integrals

15.3 Double Integrals over General Regions

Set 9





15.3: 25, 43, 47, 50, 59
 
Apr 19

15.9 Change of variables

15.4 Double Integrals in Polar Coordinates

15.6 Triple Integrals

 

15.4: 1, 14, 24, 27

 

  

Apr 26

15.7 & 15.8 Cylindrical and Spherical Coordinates

Using double integrals to solve single integrals

Set 12

15.7: 1, 9, 12

15.8: 1, 9, 12

  

Final exam: Thursday, May 6 from 3:00 - 5:00 pm in McGregory 209