Table of Contents
Annotated Brief Table of Contents
|
Chapter |
Notes |
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1 Functions and Graphs |
The function concept is a unifying theme. |
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2 Linear and Quadratic Functions |
The development of a library of elementary functions, including their properties and uses, is a key objective. |
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3 Polynomial and Rational Functions |
The primary objective of this chapter is the development of specialized methods for finding and approximating the zeros of polynomial and rational functions. |
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4 Inverse Functions, Exponential and Logarithmic Functions |
This chapter concentrates on producing, defining, and investigating transcendental functions, and learning about related applications. |
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5 Trigonometric Functions |
This chapter provides an introduction to trigonometric functions, starting with circular functions. |
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6 Trigonometric Identities and Conditional Equations |
Trigonometric identities are used in this chapter to change an expression from one form to an equivalent and more useful form. |
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7 Additional Topics in Trigonometry |
Additional topics involving trigonometry are introduced to help solve triangles and to develop the concepts of vectors and the polar coordinate system. |
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8 Systems; Matrices |
This chapter focuses on the solution of linear equations and systems using graphical and algebraic methods, as well as using matrices and matrix operations. Applications are stressed throughout the chapter. |
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9 Sequences and Series |
The study of sequences and series provide useful tools for many areas of mathematics, including mathematical induction, counting techniques, and probability. |
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10 Additional Topics In Analytic Geometry |
In this chapter, students can further their knowledge of analytic geometry through the study of conic sections and translation of axes. |
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Appendix A |
A concise review of basic algebraic concepts can be used for reference or systematic review. |