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-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 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 rulesNo 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)