_______ North Seattle Community College ________________________________________
Math and Sciences Division
Course Establishment Form
Outline
Effective date: Fall 2006
Division:
Math and Sciences
Program/Dept:
Math
Course Number:
MATH 224
Credits: 5
Variable: No
Course Title:
Vector Calculus
Inst. Intent:
11 Academic Transfer
Fee: Yes
No X
Degree/Certificate Requirement:
CIP: 270101
Type
Yes
No: X
Name of Degree/Certificate:
Distribution Requirement for AA/AS:
The Natural World/The Language of Science
Transfer Status to 4-year institution:
Yes X
No:
If yes, please describe:
Transfers to the University of Washington as MATH 324 (3), 2xx(2)
Course length:
One quarter
55
Course Contact Hours:
Lecture: 55
Prerequisite:
Class Size: 32
Lab:
Yes: X
Clinical:
Other:
System:
No:
If yes, please describe:
MATH& 153 or higher or permission or concurrent enrollment.
Required Placement Tests:
Yes
No X
If yes, please describe:
Comments:
Course Description:
This course extends MATH& 153, which introduces multivariable calculus to the calculus of vectors.
Topics include vector-valued functions, vector fields, line and surface integrals and the theorems of
Green, Gauss, and Stokes. The objectives of this course are to understand vector operators, line and
surface integrals, and the extension of the calculus to vectors in two and three-dimensional space.
Page 2
NSCC General Education Learning Outcomes and/or Related Instructional Outcomes (for
technical courses) Met by Course:
Outcome #1:
Think critically in reading and writing.
Outcome #2:
Use quantitative reasoning processes to understand, analyze, interpret, and solve
quantitative problems.
Outcome #4:
Assess, evaluate, and apply information from a variety of sources and a variety of
contexts.
Course Outcomes/Learning Objectives:
Upon successful completion of the course, students will be able to,



Set up and evaluate line and surface integrals.
Understand the meaning and computations involved in the theorems of Gauss, Green and
Stokes.
Understand vector fields and their utility in the study of fluid mechanics and electromagnetism.
Topical Outline and/or Major Divisions:
I.
II.
III.
IV.
V.
VI.
Review of vector algebra
Vector-valued functions
Parameterization of curves
Vector fields and vector operators
Line, surface and volume integrals
Applications
Course Requirements (Expectations of Students)
Students are expected to,

Complete reading and homework assignments outside of class.

Come prepared to utilize this information in class.

Participate in study groups.
Students will be expected to demonstrate the ability to perform specific competencies listed under “Course
Outcomes/Learning Objectives.”
Methods of Assessment/Evaluation:
Includes but is not limited to:
I.
Participation
II.
Completion of assigned work
III.
Exams
Final grades are assigned according to published grading standards for the course.
Required Text(s) and/or Materials:
As determined by instructor, but the following text is strongly recommended: P.C. Matthews, Vector
Calculus, current edition
Supplemental Text(s) and/or Materials:
As determined by instructor, but should include computer demonstrations.
Outline Developed by:
Hon Li
Date:
May 1996
Outline Revised by:
Tom Griffith
Date:
May 1, 2006
Outline Revised by:
Hon Li
Date:
June 1, 2006
Course Establishment Form 2001
le 10/11/01