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MTH 277: Vector Calculus (4 credits)
Overview

This course presents vector valued functions, partial derivatives, multiple integrals and topics from the calculus of vectors.

Prerequisite :

The following are required for entry into this course:

  • MTH 174 - Calculus with Analytic Geometry or equivalent

 

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Objectives
 

If you do well in this course, you will be able to:

  • determine the equation of lines, planes, spheres, cylinders, and quadric surfaces in 3- dimensional space
  • define a three-dimensional vector function and compute its higher order derivatives
  • determine the arc length of a vector function and determine the tangent, normal, binormal, velocity and acceleration vectors and curvature for a vector function at a given point
  • define limit and continuity of a function of two or three variables
  • define and compute the partial derivative, total derivative, directional derivatives and extrema of functions of two and three variables
  • compute exact differentials and line integrals
  • compute double integrals in Cartesian and polar coordinates
  • compute triple integrals in Cartesian, cylindrical, and spherical coordinates
  • apply Green's Theorem to the solution of line integrals
  • compute area, volume, mass and center of mass using double and triple integrals
  • obtain competency in the use of a graphing utility and CAS
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Materials
 

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Grading
 

Possible Assignments Include: (Subject to change each semester. The actual assignments are available in the Syllabus in the Blackboard course site on the first day of classes.)

ASSIGNMENTS
Percentage
Quizzes
25
Midterm Exam
35
Final Exam
40

Your final grade may be based on the following scale. Please note that you must also pass both exams in order to pass the course, regardless of your scores on the other assignments.

Grading Scale
A
90-100
B
80-89
C
70-79
D
60-69
F
0-59
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Exams
 

There are 2 paper & pencil exams in this course.

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ELI Policies and Procedures
 
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Beginning the Course
 

Last Updated: September 1, 2015