Textbook: Multivariable Calculus by James Stewart, 4th Edition, Brooks/Cole Publishing Co, 1999; Coursepack: Computer Laboratory Projects for Multivariable Calculus by Gavosto and Uribe
Cognizant Faculty:
Description:
The sequence Math 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof.
Course Topics:
Vector algebra and vector functions
Analytic geometry of planes, surfaces, and solids
Functions of several variables and partial differentiation
Line, surface, and volume integrals and applications
Vector fields and integration
Green's Theorem and Stokes' Theorem.
Computer labs (Maple):
Introduction; Working in the Computer Lab; Introduction to Maple
Space Curves and Parametric Surfaces
Graphs and Level Curves
Gradients and Rates of Change
Double Integrals and Polar Coordinates
Circulation and Curl
Course Objectives:
To teach the students the fundamentals and applications of multivariable and vector calculus.
To teach the students applications of the above topics to engineering problems using MAPLE computer software.
Course Outcomes:
Assessment Tools: