MA 122 explores three types of approximation: Taylor approximations of one-variable function, linear approximations of multivariable functions, and Riemann sum approximations of integrals of multivariable functions. The central questions will always be: How good is the approximation? and Can it be improved? We will encounter a number of bizarre functions showing that the answers to these questions can be subtle indeed. For nicely behaved functions we will come to a good working understanding of the sort of information that these various types of approximations can impart. The course picks up where MA 122 leaves off and seeks, above all else, to develop a good conceptual understanding of the material under consideration.
Calculus Study Sessions (CSS) are held in Mudd 405 on Sun, Mon, Tues nights from 7 - 10 PM and on Wed nights from 7-9 PM. Check this spot regularly for the current schedule.
- Notes on Taylor polynomials.
- Convergence Tests (This will be provided at the exams)
- Practice Exam/Study Guide for Exam 1
- Solutions for Practice Exam/Study Guide for Exam 1