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

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 in the topics below

Required Texts

The required textbook for this course is:       

• Calculus (9th ed.) Varberg, Purcell, Rigdon, Prentice-Hall, 2007

For information on how to order your textbooks, go to http://eli.nvcc.edu/books/ 

Additional Materials
The following materials are also required for this course:

• Scientific Notebook: You will find additional information about Scientific Notebook in the Course Materials section of the Course site.

There are 2 exams in this course. You are expected to take your examinations at one of the NVCC campus Testing Centers. Be sure to allow enough time to complete your exam before the Testing Center closes; Testing Centers have specific policies relating to the administration of ELI exams. You will need to take a photo ID, your NovaConnect empl ID number, and the appropriate Exam Pass when you go to the Testing Center.  

For Testing Center locations, hours of operation and policies, click here.

For information on taking exams outside of the metropolitan area, click here.

I am here to help you succeed in this course. Occasionally questions or problems may arise. Here is how to contact me when they do:

BY EMAIL: dgoral@nvcc.edu
BY CAMPUS PHONE: (703) 323-3888
BY ELI PHONE: (703) 323-3347

1. Use your web browser to connect to www. nvcc.edu/bbstart. Follow the directions to determine your email, Blackboard and VIVA account user names and passwords.
2. Log on to your email account and make sure you know how to use it; you will be required to use this account for all course-related email.
3. Log on to your Blackboard account.
4. Click on this course under "My Courses." Review the entire course to make sure you understand what will be required of you. Then start completing the assignments.

Please note that account generation takes approximately one week from the time of your paid registration. If you cannot log on after one week, contact the IT Help Desk.