# Master Syllabus

 Administrative Unit: Computer and Mathematical Sciences Department Course Prefix and Number: MATH 300 Course Title: Multivariate Calculus
Number of:
 Credit Hours 3
 Lecture Hours 3
 Lab Hours 0
 Catalog Description: Two and three dimensional vectors, partial derivatives, multiple integrals, line and surface integrals. Prerequisite: MATH 222 or MATH 235. Prerequisite(s) / Corequisite(s): MATH 222 or MATH 235. Course Rotation for Day Program: Offered even Fall. Text(s): Most current editions of the following:CalculusBy Stewart (Brooks-Cole) Recommended Course Learning Outcomes Describe curves and surfaces in space in Cartesian, vector and parametric forms. Apply and modify vector-valued functions to describe the motion of objects through space. Apply basic ideas of differential calculus to functions of several variables. Define and compute double and triple integrals. Compute line and surface integrals and use these to solve applied problems in the sciences. Major Topics/Skills to be Covered: Use vectors in two and three dimensions to describe lines and planes in space. Use vector functions to describe curves in space. Use vector-valued functions to describe the motion of objects through space. Apply basic ideas of differential calculus to functions of several variables. Define double and triple integrals to extend the basic ideas of integral calculus to functions of two and three variables. Apply double and triple integrals to find volumes, surface areas, masses, and centroids of solid regions. Compute line and surface integrals and use these to solve applied problems in the sciences. Establish connections between line and surface integrals and single, double, and triple integrals through the higher-dimensional versions of the Fundamental Theorem of Calculus: Green’s Theorem, Stokes’ Theorem, and the Divergence Theorem. Recommended maximum class size for this course: 30 Library Resources: Online databases are available at http://www.ccis.edu/offices/library/index.asp. You may access them using your CougarTrack login and password when prompted.
Prepared by: Suzanne Tourville Date: April 1, 2015
NOTE: The intention of this master course syllabus is to provide an outline of the contents of this course, as specified by the faculty of Columbia College, regardless of who teaches the course, when it is taught, or where it is taught. Faculty members teaching this course for Columbia College are expected to facilitate learning pursuant to the course learning outcomes and cover the subjects listed in the Major Topics/Skills to be Covered section. However, instructors are also encouraged to cover additional topics of interest so long as those topics are relevant to the course's subject. The master syllabus is, therefore, prescriptive in nature but also allows for a diversity of individual approaches to course material.