A newer version of this course is available here:
Calculus: Single Variable Part 1 - Functions
Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat.
This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences.Distinguishing features of the course include:
- the introduction and use of Taylor series and approximations from the beginning;
- a novel synthesis of discrete and continuous forms of Calculus;
- an emphasis on the conceptual over the computational; and
- a clear, dynamic, unified approach.