# Instructor Class Description

Time Schedule:

**Peter J. Littig**

B CUSP 125

Bothell Campus

### Calculus II: Foundations and the Emergence of Modern Analysis

Focuses on the historical emergence of modern calculus, the Fundamental Theorem, area, volume, and area length calculations, properties and applications of the integral, infinite series, Taylor and Fourier expansions, and the Weierstrass definition of limit. Emphasizes problem-solving and mathematical thinking. Prerequisite: minimum grade of 2.0 in B CUSP 124, score of 3 on AP MAB or AP MBC exams. Offered: AWSp.

**Class description**

This course develops the concept of integration. We will begin with the area problem and move on to several other applications. Along the way, we will learn a handful of basic integration techniques, including substitution, integration by parts, and trigonometric substitution. Of central importance will be our study of the Fundamental Theorem of Calculus.

**Student learning goals**

Identify the major conceptual and theoretical themes of Calculus.

Solve mathematical problems of both contemporary and historical importance by applying the techniques learned in the course.

Describe the contributions made be various mathematicians and philosophers to the development of Calculus.

**General method of instruction**

Interactive lectures and small group work.

**Recommended preparation**

BCUSP 124 (Calculus I) or equivalent.

**Class assignments and grading**

Homework will be assigned regularly and will include problems from the course text and problems of my own design.

Grades will be based on student's performance on assigned work, quizzes, and exams.

*The information above is intended to be helpful in choosing courses. Because the instructor may further develop his/her plans for this course, its characteristics are subject to change without notice. In most cases, the official course syllabus will be distributed on the first day of class.*

Last Update by Peter J. Littig

Date: 10/24/2008