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Overview
Engage your students and prepare them for success in your course and the future with the student-focused approach of Ron Larson’s “Precalculus” with WebAssign. Updated with the purpose of giving students every chance to succeed, the 12th edition streamlines the presentation to emphasize and reinforce key concepts while eliminating any distractions. Students overcome preparedness gaps at the beginning of the term with Larson’s review material and the College Math Readiness Bootcamp in WebAssign. Students then stay on track with continual reinforcement of key skills with Review & Refresh exercises and the new Getting Ready for the Chapter sections. Taking their understanding to the next level, students apply mathematical concepts with Exploring the Concepts sections, How Do You See It? exercises and Explore It interactive learning modules.
- NEW Getting Ready for the Chapter sections prepare students for success by providing an increased emphasis on and reinforcement of the key Big Idea concepts and skills.
- NEW Brief lecture videos in WebAssign provide engaging presentations that connect with today’s students and help them understand key concepts.
- Review & Refresh exercises within section sets reinforce key prerequisite skills to prepare students for the next section and provide continual skill review throughout.
- Exploring the Concepts sections, Vocabulary and Concept Checks build student confidence and develop conceptual understanding.
- Summary and Study Strategies for each chapter include explanations and examples of the key objectives and essential study skills to help students succeed in the course.
- How Do You See It? exercises in every section present real-life problems that students solve by visual inspection using the concepts in the lesson.
- Algebra of Calculus examples and exercises throughout the text emphasize various algebraic techniques used to prepare students for future success.
- WebAssign provides control and flexibility for instructors, high quality learning resources, engaging exercise types and a patented grading engine that ensures accuracy.
Rectangular Coordinates. Graphs of Equations. Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Parent Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions. Mathematical Modeling and Variation. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
2. POLYNOMIAL AND RATIONAL FUNCTIONS.
Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Complex Numbers. Zeros of Polynomial Functions. Rational Functions. Nonlinear Inequalities. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
3. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions and Their Graphs. Logarithmic Functions and Their Graphs. Properties of Logarithms. Exponential and Logarithmic Equations. Exponential and Logarithmic Models. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
4. TRIGONOMETRY.
Radian and Degree Measure. Trigonometric Functions: The Unit Circle. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Graphs of Sine and Cosine Functions. Graphs of Other Trigonometric Functions. Inverse Trigonometric Functions. Applications and Models. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
5. ANALYTIC TRIGONOMETRY.
Using Fundamental Identities. Verifying Trigonometric Identities. Solving Trigonometric Equations. Sum and Difference Formulas. Multiple-Angle and Product-to-Sum Formulas. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
6. ADDITIONAL TOPICS IN TRIGONOMETRY.
Law of Sines. Law of Cosines. Vectors in the Plane. Vectors and Dot Products. The Complex Plane. Trigonometric Form of a Complex Number. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
7. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Linear and Nonlinear Systems of Equations. Two-Variable Linear Systems. Multivariable Linear Systems. Partial Fractions. Systems of Inequalities. Linear Programming. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
8. MATRICES AND DETERMINANTS.
Matrices and Systems of Equations. Operations with Matrices. The Inverse of a Square Matrix. The Determinant of a Square Matrix. Applications of Matrices and Determinants. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
9. SEQUENCES, SERIES, AND PROBABILITY.
Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Counting Principles. Probability. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
10. TOPICS IN ANALYTIC GEOMETRY.
Lines. Introduction to Conics: Parabolas. Ellipses. Hyperbolas. Rotation of Conics. Parametric Equations. Polar Coordinates. Graphs of Polar Equations. Polar Equations of Conics. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
APPENDIX A: REVEIEW OF FUNDAMENTAL CONCEPTS OF ALGEBRA.
Real Numbers and Their Properties. Exponents and Radicals. Polynomials and Factoring. Rational Expressions. Solving Equations. Linear Inequalities in One Variable. Errors and the Algebra of Calculus.
APPENDIX B: CONCEPTS IN STATISTICS (ONLINE).
Representing Data. Analyzing Data. Modeling Data.