## Table of Contents

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- 1. Analyzing Functions
Topics in this chapter include: function minimums and maximums, increasing and decreasing functions, end behavior of functions, function families, transformations of functions, operations and compositions, and mathematical models.

- 2. Analyzing Polynomial and Rational Functions
This chapter focuses on concepts and skills relevant to solving problems involving polynomial and rational functions. Analytical, graphical and numerical methods are considered for solving polynomial and rational equations.

- 3. Analyzing Exponential and Logarithmic Functions
Topics in the chapter include: inverse functions, exponential functions, logarithmic functions, properties of logarithms, exponential and logarithmic models and equations, compound interest and growth and decay applications.

- 4. Polar Equations and Complex Numbers
Topics in this chapter include: imaginary and complex numbers, polar coordinates and polar-cartesian transformations.

- 5. Vectors
Topics in this chapter include: vectors in 2-dimensions & 3-dimensions and applications of vectors.

- 6. Analyzing Conic Sections
This chapter analyzes conic sections. It covers circles, ellipses, parabolas, and hyperbolas. It ends by exploring their general algebraic forms.

- 7. Sequences, Series, and Mathematical Induction
Topics in this chapter include: recursive and explicit formulas, summation notation, mathematical induction, geometric series, and the Binomial Theorem.

- 8. Introduction to Calculus
Students explore and learn about limits from an intuitive approach, computing limits, tangent lines and rates of change, derivatives, techniques of differentiation, conceptual basis for integration and The Fundamental Theorem of Calculus.