MA 201

Undergraduate Courses

MA 201, Calculus C

Course Description and Goals

Calculus C is the final course in a three-course sequence in calculus, primarily intended for students in science and engineering. Topics include

  • vectors and vector-valued functions
  • partial derivatives of functions of several variables
  • applications to optimization and motion in space
  • multiple integrals of functions of several variables
  • the classification of quadric surfaces
  • cylindrical and spherical coordinates
  • vector fields and their applications
  • line and surface integrals
  • the fundamental theorems of multivariable calculus, including Green's theorem, the divergence theorem, and Stokes theorem.
  • the use of the Maple computer algebra system

Goals of the course include

  • a basic understanding of the special language, notation, and point of view of calculus
  • the ability to solve basic computational problems involving multivariate calculus
  • an understanding of concepts from complementary points of view (algebraic, geometric, numerical, procedural)
  • the ability to model and solve basic calculus problems in science and engineering
  • a basic sense of the history of calculus and its central importance in science
  • an improved ability to read, write, speak, and think in mathematical terms

Alabama General Studies Curriculum

MA 201 is an AGSC approved course; the standard AGSC number is Math 125.

Prerequisites

MA 172, Calculus B with a grade of C or better

Credit

4 Semester Hours

Grading System

This course is graded A, B, C, D, F. The grade typically depends on a combination of class tests, homework, Maple assignments, quizzes, and a comprehensive final exam.