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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.