Advanced Math

Perspective: Since nature has an inherent mathematical component, and nature was created by God, 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. Mathematics is not invented by man, but rather it is a discovery of God's created truth.

Purpose: This course is offered to help students meet their graduation requirements for mathematics. It is the mathematics course that follows Geometry. It is essentially a precalculus course and includes further work in algebra, trigonometry, as well as some review of geometry. It is important that students have a good mastery of algebra, trigonometry, and geometry before taking other advanced math and science courses. 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 basic concepts learned in Algebra II.
2. Express ideas and quantities with abstract algebraic expressions.
3. Learn how to solve a variety of advanced word problems.
4. Learn how to work with logarithms, exponential functions, conic sections, complex numbers, polynomials, probability, matrices, and determinants.
5. Learn trigonometry.
6. Learn about points, lines, planes, angles, triangles, quadrilaterals, parallel lines, circles, spheres, cones, cylinders, and other objects in space.
7. Learn basic concepts about statistics.

General Outline:

1. Review Algebra II.
2. Introduce new material each day.
3. Continual practice and review.
4. Periodic tests covering all that has been learned.

Textbook:

Advanced Mathematics(Second Edition), John H. Saxon, Jr., Saxon Publishers, Inc., 1996.