Vector Calculus

Course Syllabus for Vector Calculus          Spring Semester, 2011-12    Room:  GS-201

CVCC Math 277                 

Instructor:  Charlie Jones    Office:  GS-201    Phone:  434-582-1104     e-mail:  cjones@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:
Textbook:  Calculus, 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 Friday

Topics

1/5 – 1/6

Linear text 6.6

0

Regressions

1/9- 1/13

11.1 - 11.4

1

Parametric Eqs, Polar Coords, & Calc

1/16 – 1/20

11.5,12.1,12.2

2

Closed Monday,
Calculus in Polar Coordinates, Vectors

1/23 – 1/27

12.3 - 12.5

3

No School Monday,
lines, planes, vector-valued funs

1/30 - 2/3

13.1 -13.4

4

Calculus of Vector-valued functions

2/6 - 2/10

Review, Test 1,13.5

none

Test 1 on Wednesday, arc length

2/13 – 2/17

14.1-14.3, 14.5

5

Functions of several variables, Limits & continuity, Partial Derivatives,Chain Rules

2/20 - 2/24

14.6-14.7

6

Directional derivatives, chain rules
No school Monday

2/27- 3/2

14.8 - 14.9

7

Tangent planes, Max/Min problems

3/5 - 3/9

Review, Test 2, 14.10

None

Test 2 on Wednesday, Lagrange Multipliers

3/12 - 3/16

15.1 - 15.3

8

Double Integrals in Rectangular and Polar Coordinates.

3/19 – 3/23

15.4 - 15.6

9

Applications and Triple Integrals

3/26 – 3/30

12.7,15.7

10

Triple Integrals in Cyl and Sph Coordinates

4/2 - 4/6

16.1,16.2

11

Line integrals Conservative Vector Fields, Thursday is Middle School Day

4/9 - 4/13

Spring Break

 

 

4/16 – 4/20

16.3, 16.4

12

Independence of Path, Green's Theorem

4/23 – 4/27

Review, Exam

 

Exams on Tuesday & Wednesday

4/30 - 5/4

S3– project

 

 Monday night, Recognition Banquet,

5/7 - 5/11

S3 – project

 

 

5/14 - 5/18

S3– project

 

 

5/21- 5/25

S3– project

 

Picnic, Friday, 5/25 (last day of semester)

Grading:

  • Homework                  10 %
  • 2 Midterm exams        22 %  each
  • S3 Project                    10%
  • Final 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.