Peter J. Littig
B CUSP 125
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.
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.
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.