Easy pre-calculus step-by-step Master high-frequency concepts and skills for precalc proficiency--fast!
Book - 2019
The quickest route to learning a subject is through a solid grounding in the basics. So what you won't find in Easy Pre-Calculus Step-by-Step is a lot of endless drills. Instead, you get a clear explanation that breaks down complex concepts into easy-to-understand steps, followed by highly focused exercises that are linked to core skills--enabling learners to grasp when and how to apply those techniques.
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- Subjects
- Genres
- Problems and exercises
- Published
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New York :
McGraw-Hill Education
[2019]
- Language
- English
- Main Author
- Edition
- Second edition
- Physical Description
- x, 390 pages : illustrations ; 23 cm
- Bibliography
- Includes index.
- ISBN
- 9781260135114
- Preface
- 1. Graphs and the Graphing Calculator
- Step 1. Review Linear Equations
- Step 2. Meet the Parents
- Step 3. Master the Fundamentals of Graphing
- Step 4. Transform the Graphs
- Step 5. Master Basic Calculator Skills
- 2. Functions
- Step 1. Analyze Relations and Functions
- Step 2. Perform Arithmetic of Functions
- Step 3. Compose Functions
- Step 4. Find Inverse Functions
- 3. Quadratic Functions
- Step 1. Solve Quadratic Functions
- Step 2. Explore Complex Numbers
- Step 3. Graph Parabolas
- Step 4. Apply What You've Learned
- 4. Polynomial Functions
- Step 1. Factor Polynomials
- Step 2. Use Synthetic Division to Find Zeros
- Step 3. Use Long Division to Factor Polynomials
- Step 4. Find the Zeros of Polynomial Functions
- Step 5. Graph Polynomial Functions
- 5. Rational Functions
- Step 1. Operate with Rational Expressions
- Step 2. Deal with Discontinuities
- Step 3. Examine End Behavior
- Step 4. Find Intercepts
- Step 5. Graph Rational Functions
- 6. Conic Sections
- Step 1. Analyze and Graph Parabolas
- Step 2. Analyze and Graph Ellipses
- Step 3. Analyze and Graph Circles
- Step 4. Analyze and Graph Hyperbolas
- Step 5. Graph and Solve Quadratic Systems
- 7. Exponential and Logarithmic Functions
- Step 1. Get to Know the Exponential Function
- Step 2. Define the Logarithmic Function
- Step 3. Learn to Use Properties of Logarithms
- Step 4. Solve Exponential and Logarithmic Equations
- Step 5. Explore Exponential Growth and Decay
- 8. Radical Functions
- Step 1. Review Rules for Exponents
- Step 2. Simplify Radicals and Rationalize Denominators
- Step 3. Explore the Square Root and Cube Root Functions
- 9. Systems of Equations
- Step 1. Review Two-Variable Linear Systems
- Step 2. Solve Systems of Linear Equations in Three Variables
- Step 3. Solve Nonlinear Systems
- 10. Matrices and Determinants
- Step 1. Master Matrix Arithmetic
- Step 2. Find Determinants
- Step 3. Apply Cramer's Rule
- Step 4. Find Inverse Matrices
- Step 5. Solve Systems by Inverse Matrices
- 11. Review Right Triangle Trigonometry
- Step 1. Review Right Triangle-Trigonometry
- Step 2. Use Trigonometry to Find Areas
- Step 3. Use the Law of Cosines to Extend to Nonright Triangles
- Step 4. Apply the Law of Sines
- 12. Trigonometric Functions
- Step 1. Expand Your Concept of Angles
- Step 2. Learn the Unit Circle
- Step 3. Define Trigonometric Functions
- Step 4. Explore Inverse Trigonometric Functions
- Step 5. Verify Identities
- Step 6. Use Identities
- Step 7. Solve Trigonometric Equations
- 13. Polar and Parametric Equations
- Step 1. Plot Points in the Polar Coordinate System
- Step 2. Convert Coordinates Between Systems
- Step 3. Graph Polar Equations
- Step 4. Convert Equations Between Polar and Rectangular Forms
- Step 5. Convert Equations Between Parametric and Function Forms
- Step 6. Graph Parametric Equations
- 14. Transformations
- Step 1. Understand the Geometry of Reflections
- Step 2. Translate by Reflecting
- Step 3. Rotate by Reflecting
- Step 4. Dilate Geometrically
- Step 5. Use Matrices for Transformations
- 15. Rotating Conics
- Step 1. Create the Equation that Rotates a Conic
- Step 2. Recognize Rotation in Equations
- Step 3. Graph a Rotated Conic
- Step 4. Classify Rotated Conics without Graphing
- 16. Complex Numbers
- Step 1. Change Between Forms
- Step 2. Add and Subtract Complex Numbers
- Step 3. Multiply and Divide Complex Numbers
- Step 4. Raise a Complex Number to a Power
- Step 5. Find the Roots of a Complex Number
- 17. Limits
- Step 1. Evaluate Limits
- Step 2. Deal with Problems
- Step 3. Use Properties of Limits
- Step 4. Evaluate Infinite Limits and Limits at Infinity
- 18. Sequences and Series
- Step 1. Find Terms of Sequences
- Step 2. Find Limits of Sequences
- Step 3. Find Sums of Series
- Step 4. Find Sums of Infinite Series
- Answer Key
- Index