Calculus 3: course

Book

Planned for Fall 2012.

Description

This is a traditional third semester course in introductory calculus. The main goal is some familiarity with the derivative and integral in 3D.

Prerequisites

• Calculus 2: course

Outline

• Review of Cartesian coordinate system
• Functions of several variables
• Partial derivatives and the gradient
• Parametric curves and line integrals
• Vector fields
• Vector integrals
• Green's theorem
• Stokes theorem

• Calculus 3: test 1
• Calculus 3: test 2
• Calculus 3: final

Notes

An alternative approach to studying calculus is to start with Differential calculus and then proceed to Integral calculus.

Calculus by Stewart was used.

Further reading

• Differential equations: course
• Vector calculus: course
• Introduction to abstract mathematics: course