Math Book Seminar: Advanced Calculus

Math Book Seminar: Advanced Calculus is a Natural Science course taught by David Kelly.

This course requires prerequisites.

Course Description
The students in this book seminar will meet formally with each other twice each week and with the instructor once a week. The text for the first months of the course is "Div, Grad, Curl and All That, An Informal Introduction to Vector Calculus," by H. M. Schey. Basic concepts of the calculus will be extended to functions of several variables in the context of electrostatics (though no physics experience is required) with studies of directional derivatives, path and surface integrals, and the title topics. Gauss' Law, Stokes' Theorem, and Green's Theorem relate these tools of vector calculus, extend the fundamental theorem of calculus, and provide powerful evaluation techniques. This course completes the standard calculus syllabus essential to physicists, astronomers, and mathematicians, and almost essential to geologists, economists, computer scientists, and statisticians. For the final week of the semester, topics may be determined by consensus. Prerequisite: At least a solid introduction to the calculus