math_170

Math 170    PRECALCULUS WITH LIMITS
A Graphing Approach 3rd. Edition

Houghton Mifflin

Graphs of Equations

Lines in the Plane

Solving Equations Algebraically and Graphically

Solving Inequalities Algebraically and Graphically

Graphs of Functions

Shifting, Reflecting, and Stretching Graphs

Combination of Functions

Inverse Functions

Chapter 2   Polynomial and Rational Functions

Real Zeros of Polynomial Functions

Complex Numbers

Rational Functions and Asymptotes

Graphs of Rational Functions

Properties of Logarithms

Solving Exponential and Logarithmic Equations

Trigonometric Functions: The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Using Fundamental Identities

Sum and Difference Formulas

Law of Sines

Law of Cosines

Vectors and Dot Products

Solving Systems of Equations

Systems of Linear Equations in Two Variables

Multivariable Linear Systems

Systems of Inequalities

Linear Programming

Matrices and Systems of Equations

The Inverse of a Square Matrix

The Determinant of a Square Matrix

Applications of Matrices and Determinants

Sequences and Series

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

Mathematical Induction

The Binomial Theorem

Counting Principles

Probability

Introduction to Conics; Parabolas

Ellipses

Hyperbolas

Rotation and Systems of Quadratic Equations

Parametric Equations

Polar Coordinates

Graphs of Polar Equations

Polar Equations of Conics

Vectors in Space

The Cross Product of Two Vectors

Lines and Planes in Space

Introduction to Limits

Techniques for Evaluating Limits

Limits at Infinity and Limits of Sequences