INSTRUCTOR: K. W. Nicholson
Phone: 256 234 6346 ext 6259 or 6264 email: caccphysic@aol.com
Office: BS 224 Office Hours : Tuesday and Thursday 3- 5 PM

COURSE TITLE AND CREDIT:

Math 227 Calculus III

5 Hrs Lecture each week for 10 weeks Credit: 4 semester Hours

COURSE PREREQUISITES: A minimum prerequisite of high school Algebra I, Geometry, and Algebra II with an appropriate mathematics placement score is required. An alternative to this is that the student should successfully pass with a C or higher MTH 126.

I. COURSE DESCRIPTION:

This is the third of three courses in the basic calculus sequence. Topics include vectors in the plane and in space, lines and planes in space, applications of integration (such as volume, arc length, work and average value), techniques of integration, infinite series, polar coordinates, and parametric equations, multivariable differentiation and integration, line and surface integrals.

II. COURSE OBJECTIVES: As a result of successfully completing this course the student will be able to:

1. Use vector notation, find dot and cross products of two vectors.
2. Recognize and analyze equations of lines and planes in two and three space.
3. Find the sum of GP's and AP's .
4. Determine whether or not series converge or diverge using Comparison, limit comparison, ratio and integral tests.
5. Test Alternating series for convergence and Absolute convergence.
6. Use Taylors Theorem to solve integral problems.
7. Differentiate multivariable functions.
8. Find Directional derivatives.
9. Evaluate double and triple integrals.
10. Apply double and triple integrals to volume, mass, and moments of inertia problems.
11. Evaluate line and surface integrals.

III. CONTENT AND ORGANIZATION:

1. Riddle Chapters 16, 17, 15, 18, 19, 20, in that order.

IV. References: Serway's Physics for Scientists and Engineers

V. Required (Graded) Assignments: 3- 100 pt tests, 1-200 point final, ocassional quizes.

VI. Evaluation Procedures:

Grading System:

• A: 90 - 100 Accumulative percent,
• B: 80 - 89 Accumulative percent,
• C: 70 - 79 Accumulative percent,
• D: 60 - 69 Accumulative percent,
• F: 0 - 59 Accumulative percent.
  

VI. TEXTBOOKS CURRENTLY BEING USED:

Riddle's Calculus, Alternative Edition

VIII. Other Important Information:

1. Attendance: Students with more than 1 week (2 classes) unexcused absences will be advised to dropped from the course.

2. If you have a disability that may prevent you from meeting the course requirements, contact the instructor before the end of the first week of classes to file a student disability request and to discuss a reasonable plan. Course requirements will not be waived but accommodations may be made to assist you in meeting the requirements, provided you are timely in working with the instructor to develop a reasonable accommodation plan.