Precalculus, 2nd edition
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Overview
Interactive figures are worth a thousand words. The Precalculus eText is a concise presentation of material needed for success in precalculus, integrating narrative, interactive figures, author videos and progress checks to immerse you in a rich learning environment within MyLab Math. Each of the 365 interactive figures helps build your geometric intuition of a concept. This innovative eText, paired with the author-created printed note-taking guide Explorations & Notes, creates a framework for learning that builds a strong mathematical foundation for calculus. The 2nd Edition adds 2 new chapters (Chapter 9, Vectors; Chapter 10, Systems of Equations) and includes many more enhancements.
Published by Pearson (July 29th 2022) - Copyright © 2022
ISBN-13: 9780137373710
Subject: Precalculus, College Algebra & Trigonometry
Category: Precalculus
Overview
1. Functions
- Introduction to Functions
- Graphs
- Linear Functions
- Combinations of Functions
- Transformations of Functions
- Families of Functions
- Summary and Review Exercises
2. Polynomials and Rational Functions
- Quadratic Functions
- Polynomial Functions
- Real Roots and Factors of Polynomial Functions
- Complex Numbers
- Complex Roots of Polynomial Functions
- Rational Functions
- Inequalities
- Summary and Review Exercises
3. Exponentials and Logarithms
- Exponential Functions
- Inverse Functions
- Logarithmic Functions
- Logarithmic Identities
- Solving Exponential and Logarithmic Equations
- Summary and Review Exercises
4. Unit Circle Trigonometry
- Angles and Their Measures
- Unit Circle Definitions of Sine, Cosine, and Tangent
- Sine, Cosine, and Tangent Functions
- Secant, Cosecant, and Cotangent Functions
- Inverse Trigonometric Functions
- Summary and Review Exercises
5. Triangle Trigonometry
- Right Triangle Trigonometry
- Right Triangles and the Unit Circle
- Law of Sines
- Law of Cosines
- Applications of Triangles
- Summary and Review Exercises
6. Trigonometric Identities
- Fundamental Identities
- Sum, Difference, and Double-Angle Identities
- Power-Reducing, Half-Angle, and Product-Sum Identities
- Solving Trigonometric Equations
- Summary and Review Exercises
7. Parametric and Polar Graphs
- Parametric Equations
- Polar Coordinates
- Polar Graphs
- Polar Form of Complex Numbers; DeMoivre's Theorem
- Summary and Review Exercises
8. Conic Sections
- Parabolas
- Ellipses and Circles
- Hyperbolas
- Eccentricity and Polar Equations of Conic Sections
- Summary and Review Exercises
9. Vectors
- Vectors in Two Dimensions
- Vectors in Three Dimensions
- Dot Product
- Cross Product
- Summary and Review Exercises
10. Matrices and Systems of Equations
- Systems of Equations and Inequalities
- Matrices
- Method of Partial Fractions
- Summary and Review Exercises
Appendices
- Looking Forward to Calculus: Limits
- Looking Forward to Calculus: Sequences and Series
Index
Figure Index
App. Index
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