# CK-12 Math Analysis Concepts

**At Grade**Created by: CK-12

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- 1.
## Analyzing Functions

Topics in this chapter include: function minimums and maximums, increasing and decreasing functions, end behavior, function families, transformations, 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.