MATH 214 Calculus III
Spring 2008
8:30-9:45 am; MWF, OU 313A

Jan Spalinski
Office: Olds-Upton 203D
Phone: 337-5721
email: jspalins at kzoo.edu

Office Hours:
MW 3:00-5:00 p.m.
F 10:00-11:00 a.m.
   (or by appointment)

Goals:   

· Develop skills for reading and writing mathematics.   

· Model problems that require more than a single variable.     

· Extend differential and integral calculus of one variable to functions of more variables.

Text:
Calculus Concepts and Contexts, 3rd edition
James Stewart
2005 Brooks/Cole Publishing Company

Workload:        with relative contribution to your course grade

Differentiation

And Integration

Skills Mastery Exam

An unlimited opportunity to display mastery of differentiation and integration skills from Calculus I and II. Use of calculators is not allowed during the mastery exam. The only possible scores are 100%, which corresponds to demonstration of mastery, and 0%. The first meeting should take place by Wednesday, April 2.  The exam may be repeated as many times as necessary, until the deadline: Monday, April 7.

10%

 

Homework A

 

 

 

 

Homework B

Practice problems will begin almost every class. Participation will be recorded and will count towards the final grade.

 

 

Selected exercises from the textbook and elsewhere.
Homework problems, along with several pages of reading, will be assigned each day. There will always be one class day for questions and discussion between the assignment and its collection. (i.e. assignment on day n-1, discussion and questions about the assignment on day n, assignment is due on day n+1.) Homework is due at the beginning of each class.

10%

 

 

 

 

25%

 

Exams

Exam 1, week 4

Exam 2, week 8
Comprehensive Final Exam

A problem set will be distributed in advance of each exam. Exams, consisting of a few problems closely (but not identically) related to those from the problem set, will be written in class without books, notes or calculators. The emphasis is on clear mathematical thinking and writing.

15%

15%
25%

 

Approximate Pace:

Week 1

Vectors, Cross and Dot Products, Equations of Lines and Planes

9.1-9.5

Week 2

Functions and Surfaces, Cylindrical and Spherical Coordinates.

Derivatives and Integrals of Vector Functions. Arc Length and Curvature.

 9.6,9.7.

10.1-10.3

Week 3

Motion in Space. Parametric Surfaces. Limits and Continuity of Functions of Several Variables

10.4, 10.5.

11.1,11.2

Week 4

Partial Derivatives. Review. Midterm Exam

11.3

Week 5

Tangent Planes, Chain Rule, Directional Derivatives

11.4-11.6

Week 6

Maximum and Minimum Values. Lagrange Multipliers.

Multiple Integrals

11.7,11.8.

12.1,12.2

Week 7

Applications of Double Integrals

12.3-12.6

Week 8

Line Integrals. Midterm Exam

13.1,13.2

Week 9

Green’s Theorem

13.3,13.4

Week 10

Curl and Divergence. Review

13.5

 

Final Exam