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Course Syllabus

MATH 2210 Calculus III

  • Division: Natural Science and Math
  • Department: Mathematics
  • Credit/Time Requirement: Credit: 3; Lecture: 3; Lab: 0
  • Prerequisites: MATH 1220 with a C or better
  • Semesters Offered: Fall, Spring
  • Semester Approved: Summer 2024
  • Five-Year Review Semester: Spring 2029
  • End Semester: Spring 2030
  • Optimum Class Size: 20
  • Maximum Class Size: 36

Course Description

This course is a continuation of the study of calculus. Topics include vectors in two and three-dimensional space, quadric surfaces, cylindrical and spherical coordinates, calculus of vector-valued functions, partial derivatives and the gradient, limits and continuity of functions of several variables, vector fields and line integrals, multiple integrals, Green's, Stoke's, and Divergence Theorems.

Justification

Calculus is a required topic in a wide variety of major programs including, but not limited to, mathematics and mathematics education, many areas of engineering, physics, chemistry, and other science intensive areas. This course is similar to other third semester calculus courses taught across the state.

Student Learning Outcomes

  1. Students will demonstrate understanding of, and solve problems involving vector-valued functions.
  2. Students will demonstrate understanding of, and solve problems involving partial derivatives.
  3. Students will demonstrate understanding of, and solve problems involving multiple integrals in a variety of coordinate systems (rectangular, cylindrical, spherical).
  4. Students will demonstrate understanding of and solve problems involving integration in vector fields (including Green's Theorem, Stokes' Theorem, and the Divergence Theorem).
  5. Students will demonstrate familiarity with a computational software package such as Maple, Matlab, Maxima, Python, SageMath, Mathematica, etc.

Course Content

The course will cover the following:* Vectors and vector-valued functions * Partial derivatives and applications * Multiple integrals and applications * Integration in vector fields * Green's Theorem * Stokes' Theorem * Divergence TheoremThe course will incorporate additional viewpoints by presenting applications of the course material to a variety of professional fields.