MATH 113 Calculus II
Spring 2008
1:15-2:30 pm; MWF, OU 112

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   

·  Mastery of traditional computational techniques of Integral Calculus, Sequences and Series   

·  Develop problem solving skills using integrals and series

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



Workload:        with relative contribution to your course grade

Differentiation Skills Mastery Exam

An unlimited opportunity to display mastery of differentiation skills from Calculus I. 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.

5%

 

Homework

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.

5%

 

 

 

25%

 

Integration

Mastery Exam

An opportunity to display mastery of techniques for integrals and series. The format is the same as for the Differentiation Skills Mastery Exam from week 1.

10%

 

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

Antiderivatives and Areas
Differentiation Skills Mastery Exam

4.9, 5.1-5.2

Week 2

The Mean Value Theorem, Definite Integrals and the Fundamental Theorem of Calculus

 5.3-5.5

Week 3

What every CalcII student knows: Techniques of Integration

 

5.6--5.7

Week 4

Improper Integrals, Approximation methods
Midterm Exam

5.10

Week 5

Areas and Volumes: Slicing Techniques

6.1-6.3

Week 6

Applications of Integration

6.4, 6.5

Week 7

Probability
Sequences

6.7

8.1

Week 8

First look at Series
Midterm Exam

8.2

Week 9

Convergence Tests
Power Series
Integration Mastery Exam

8.3--8.6

Week 10

Taylor Series

8.7

 

Final Exam