Easy Pre-Calculus Step-by-Step, Second Edition

1 Graphs and the Graphing Calculator<br/>Step 1. Review Linear Equations<br/>Step 2. Meet the Parents<br/>Step 3. Master the Fundamentals of Graphing<br/>Step 4. Transform the Graphs<br/>Step 5. Master Basic Calculator Skills<br/>2 Functions<br/>Step 1. Analyze Relations and Functions<br/>Step 2. Perform Arithmetic of Functions<br/>Step 3. Compose Functions<br/>Step 4. Find Inverse Functions<br/>3 Quadratic Functions<br/>Step 1. Solve Quadratic Functions<br/>Step 2. Explore Complex Numbers<br/>Step 3. Graph Parabolas<br/>Step 4. Apply What You’ve Learned<br/>4 Polynomial Functions<br/>Step 1. Factor Polynomials<br/>Step 2. Use Synthetic Division to Find Zeros<br/>Step 3. Use Long Division to Factor Polynomials<br/>Step 4. Find the Zeros of Polynomial Functions<br/>Step 5. Graph Polynomial Functions<br/>5 Rational Functions<br/>Step 1. Operate with Rational Expressions<br/>Step 2. Deal with Discontinuities<br/>Step 3. Examine End Behavior<br/>Step 4. Find Intercepts<br/>Step 5. Graph Rational Functions<br/>6 Conic Sections<br/>Step 1. Analyze and Graph Parabolas<br/>Step 2. Analyze and Graph Ellipses<br/>Step 3. Analyze and Graph Circles<br/>Step 4. Analyze and Graph Hyperbolas<br/>Step 5. Graph and Solve Quadratic Systems<br/>7 Exponential and Logarithmic Functions<br/>Step 1. Get to Know the Exponential Function<br/>Step 2. Define the Logarithmic Function<br/>Step 3. Learn to Use Properties of Logarithms<br/>Step 4. Solve Exponential and Logarithmic Equations<br/>Step 5. Explore Exponential Growth and Decay<br/>8 Radical Functions<br/>Step 1. Review Rules for Exponents<br/>Step 2. Simplify Radicals and Rationalize Denominators<br/>Step 3. Explore the Square Root and Cube Root Functions<br/>9 Systems of Equations<br/>Step 1. Review Two-Variable Linear Systems<br/>Step 2. Solve Systems of Linear Equations in Three Variables<br/>Step 3. Solve Nonlinear Systems<br/>10 Matrices and Determinants<br/>Step 1. Master Matrix Arithmetic<br/>Step 2. Find Determinants<br/>Step 3. Apply Cramer’s Rule<br/>Step 4. Find Inverse Matrices<br/>Step 5. Solve Systems by Inverse Matrices<br/>11 Triangle Trigonometry<br/>Step 1. Review Right Triangle Trigonometry<br/>Step 2. Use Trigonometry to Find Areas<br/>Step 3. Use the Law of Cosines to Extend to Nonright Triangles<br/>Step 4. Apply the Law of Sines<br/>12 Trigonometric Functions<br/>Step 1. Expand Your Concept of Angles<br/>Step 2. Learn the Unit Circle<br/>Step 3. Define Trigonometric Functions<br/>Step 4. Explore Inverse Trigonometric Functions<br/>Step 5. Verify Identities<br/>Step 6. Use Identities<br/>Step 7. Solve Trigonometric Equations<br/>13 Polar and Parametric Equations<br/>Step 1. Plot Points in the Polar Coordinate System<br/>Step 2. Convert Coordinates Between Systems<br/>Step 3. Graph Polar Equations<br/>Step 4. Convert Equations Between Polar and Rectangular Forms<br/>Step 5. Convert Equations Between Parametric and Function Forms<br/>Step 6. Graph Parametric Equations<br/>14 Transformations<br/>Step 1. Understand the Geometry of Reflections<br/>Step 2. Translate by Reflecting<br/>Step 3. Rotate by Reflecting<br/>Step 4. Dilate Geometrically<br/>Step 5. Use Matrices for Transformations<br/>15 Rotating Conics<br/>Step 1. Create the Equation that Rotates a Conic<br/>Step 2. Recognize Rotation in Equations<br/>Step 3. Graph a Rotated Conic<br/>Step 4: Classify Rotated Conics without Graphing<br/>16 Complex Numbers<br/>Step 1. Change Between Forms<br/>Step 2. Add and Subtract Complex Numbers<br/>Step 3. Multiply and Divide Complex Numbers<br/>Step 4. Raise a Complex Number to a Power<br/>Step 5. Find the Roots of a Complex Number<br/>17 Limits<br/>Step 1. Evaluate Limits<br/>Step 2. Deal with Problems<br/>Step 3. Use Properties of Limits<br/>Step 4. Evaluate Infinite Limits and Limits at Infinity<br/>18 Sequences and Series<br/>Step 1. Find Terms of Sequences<br/>Step 2. Find Limits of Sequences<br/>Step 3. Find Sums of Series<br/>Step 4. Find Sums of Infinite Series<br/>Answer Key<br/>Index