CALCULUS FOR TEACHER I

MATH 614

Course Description

This course is designed for teachers to investigate the concepts, techniques, and applications of elementary calculus. Topics include: the foundations of calculus, differentiation and integration of both algebraic and transcendental functions, and applications of calculus to the arts and sciences, professional studies and education.

Goals Of The Course

1. To provide a suitable approach to calculus for teachers in both elementary and secondary schools.

2. To explore potential techniques for teaching selected concepts of calculus.

3. To investigate connections between calculus and other subjects, such as arts and sciences and allied branches of mathematics.

Evaluation Measures

1.Participation in classroom activities

2.Preparation of assignments

3.Written examinations

Bibliography

Anton, Howard, Calculus, a new horizon, 6^th Ed., John Wiley & Sons, New York, N.Y., 1999.

Berkeley, Dennis, Applied Calculus. Philadelphia, Pa.: Saunders, 1990.

Bittinger, Marvin, Calculus and its applications, 7^th Ed., Addison-Wesley, Reading Mass., 2000.

Coughlin/Zitarelli, Brief Calculus with Applications, Saunders Pub., Philadelphia, Pa., 1990.

Demana, Franklin. 1998. Graphing Calculator and Computer Graphing Laboratory Manual, 2^nd ed. New York: Addison-Wesley Publishing Company.

Geckmann, Charlene, Exploring Calculus with a Graphing Calculator. Reading, Mass. Addison-Wesley, 1992.

Harris, Kent, Discovering Calculus with Maple, New York, Wiley, 1992.

Hughes-Hallett, Deborah, and Andrew Gleason, Calculus: Single Variable. New York: John Wiley, 1997.

Kaplan, Wilfred, Advanced Calculus. Cambridge, Mass,: Addison Wesley, 1991.

Larson, Roland E., Robert P. Hostetler, and Bruce Edwards. 1998. Calculus with Analytic Geometry, 6^th ed. Boston: Houghton Mifflin Company.

Simmons, George, Calculus Gems. New York: McGraw-Hill, 1992.

Strang, Gilbert, Calculus. Wellesley, Mass: Wellesley-Cambridge, 1991.

Stewart, James, Calculus with early transcendental functions, 4^th Ed., Brooks/Cole, Pacific Grove Ca., 1999.

Thomas, George and Finney, Ross, Calculus and Analytical Geometry. Reading, Mass. Addison Wesley, 1992.

Addenda to Bibliography

Mathematical Association of America, Resources for Calculus Collection. Washington, DC, 1993.

Vol 1: Learning by Discovery: A Lab Manual for Calculus

Vol 2: Calculus Problems for a New Century

Vol 3: Applications of Calculus

Vol 4: Readings for Calculus

Periodicals

The Mathematics Teacher

The American Mathematics Monthly

School Science and Mathematics