Calculus: A Classical Approach
Course Description
Summary
This course covers the breadth of university calculus: differentiation, integration, infinite series, and ordinary differential equations. It focuses on concepts and interconnections. In order to cover this much material, computational techniques are de-emphasized. The approach is historically based and classical, following original texts where possible. Further techniques and applications, which would normally be covered in a first calculus sequence, will appear in following mathematics courses, such as Differential Equations and Non-Linear Dynamical Systems, Ordinary Differential Equations, and Fourier Analysis and Partial Differential Equations. This is an advanced course; Calculus AP or IB cannot be used as substitutes for it. On the other hand, this is at the same time an introductory course on calculus: the course treats the concepts in a logically independent way, so if the other prerequisites are met, no prior experience with calculus is required.
Learning Outcomes
- Understand foundational ideas of calculus as a whole
- Recognize when a problem is amenable to calculus methods
- Interpret models involving calculus, specifically differential equations
- Try out ideas, make conjectures, and experiment
- Persist on difficult, long-form, and open-ended problems
- Develop "mathematical maturity"
Prerequisites
MAT 2102: Introduction to Quantitative Reasoning and Modeling (recommended), or any previous 51成人猎奇 mathematics course, or permission of the instructor.
Please contact the faculty member : amcintyre@bennington.edu