Calculus

Perspective: Since nature has an inherent mathematical component, and God created nature, the study of mathematics is the study of one aspect of God. A good working knowledge of mathematics is necessary in order to function well in our modern technological world. The Christian views mathematics as being part of creation. Man does not invent mathematics, but rather it is a discovery of God's created truth.

Purpose: This course is offered for those students who want to pursue higher mathematics. It is the mathematics course that follows our geometry course. It provides a thorough introduction to both differential and integral calculus. It prepares the student for higher mathematics and science courses in college. A good knowledge of mathematics is necessary for the study of such diverse fields as engineering, medicine, business, and architecture.

Objectives and Goals:

1. Review the structure of the number system.
2. Review algebra, geometry, and trigonometry.
3. Work with functions and their inverses.
4. Learn how to work with limits.
5. Learn differentiation and its applications.
6. Learn integration and its applications.

General Outline:

1. Review algebra, geometry, and trigonometry.
2. Introduce new material each day.
3. Continual practice and review.
4. Periodic tests covering all that has been learned.

Textbook:

Calculus with Trigonometry and Analytic Geometry, John Saxon, Frank Wang, with Diana Harvey, Saxon Publishers, Inc., 1997.