Vector Calculus

Last years' information

Course Syllabus for Vector Calculus          Spring Semester, 2013-14   Room:  GS-201

CVCC Math 277                 

Instructor:  Charlie Jones    Office:  GS-201    Phone:  434-477-5980     e-mailcjones@cvgs.k12.va.us

Course Description:

A college level study of vector (multivariable) calculus which includes polar coordinates, analysis of vector-valued functions, analysis of functions of several variables, multiple integrals, and analysis of vector fields.  This course emphasizes computational techniques, geometry, theoretical structure, and creative problem solving.   Upon successful completion of the course, the student will receive 4 credit hours from the Central Virginia Community College.

Course Materials:

TextbookCalculus, by Larson, Hostetler, and Edwards (4th edition).  We will also use software packages and graphing calculators.

Course Content (and Tentative Schedule): 

Week of

Coverage in textbook   

HW due on Fri

Topics

1/6- 1/10

11.1 - 11.5

1

Parametric Eqs, Polar Coords, & Calculus

1/13 – 1/17

12.1-12.5

2

Vectors, Lines, planes

1/20 – 1/24

13.1 -13.3

3

No School Monday, Tuesday.
vector-valued funs & Calculus

1/27 – 1/31

13.4-13.5,14.1

4

Calculus of Vector-valued functions
Functions of several variables

2/3 - 2/7

14.2, 14.3, 14.5

5

 Limits/continuity,Partial Derivs,Chain Rules

2/10 – 2/14

Review, Test 1,14.6

none

Test 1 on Weds, Directional derivatives

2/17 - 2/21

14.7-14.8

6

No school Monday
Tangent planes, Max/Min problems

2/24- 2/28

14.9 - 14.10

7

Max/Min  & Lagrange Multipliers,

3/3 - 3/7

15.1 - 15.3

8

Double Integrals, including Polar Coords

3/10 - 3/14

Review, Test

none

Test 2 on Thursday. Double Integrals in Polar Coordinates.   Applications.  No school Monday

3/17 – 3/21

15.4, 15.6, 12.7

9

Applications and Triple Integrals
Cyl and Sph Coordinates

3/24 – 3/28

15.7,16.1

10

Triple Integrals in Cyl and Sph Coordinates
Vector Fields  Thursday is Middle School Day

3/31 - 4/4

16.2 - 16.4

11

Line integrals Conservative Vector Fields,
Independence of Path, Green's Theorem

4/7 - 4/11

Review, Exams

 

 

4/14 – 4/18

Spring Break

 

 

4/21 – 4/25

S3– project

 

 

4/28 - 5/2

S3– project

 

 Monday night, Recognition Reception

5/5 - 5/9

S3 – project

 

 

5/12 - 5/16

S3– project

 

 

5/19- 5/23

S3– project

 

Picnic, Friday, 5/23 (last day of semester)

Grading:

  • Homework                  10 %
  • 2 Midterm tests           22 %  each
  • S3 Project                    10%
  • Semester Exam           36 %
  • Grading will be on a 10-point scale as described in the student handbook.
  • Six-week grades should be viewed as progress reports for the entire semester.