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Overview
Engage your students and prepare them for success in your course and beyond with the student-focused approach of Ron Larson and WebAssign. Updated and refined through learning design principles, the 11th Edition removes barriers to learning and offers a carefully planned and inclusive experience for all students. Larson presents concepts clearly and offers a wealth of learning support, including free text-specific tutorial support at CalcView.com and CalcChat.com. Students facing readiness gaps will overcome them with new “Review & Refresh” exercises and WebAssign support (A corequisite version is also available). Taking their understanding to the next level, students apply mathematical concepts with new “Exploring the Concepts” sections, “How Do You See It?” exercises, and Explore It interactive learning modules.
- NEW Review & Refresh exercises–cumulative review exercises from current or prerequisite courses within each section exercise set–prepare students for the next section and provide a general skill review throughout the text.
- NEW Skills Refresher videos provide timely support by covering previously learned skills that students need to better understand a concept, example, or definition.
- NEW Exploring the Concepts sections, Vocabulary and Concept Checks build student confidence and develop conceptual understanding.
- REVISED 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.
- WebAssign provides instructors with the tools needed to build students’ confidence and elevate their performance. WebAssign offers built-in flexibility and control for instructors with high quality content that students can afford.
- Text-specific tutorial videos at Larson’s CalcView.com provide instruction with stepped-out solutions for selected exercises.
- Learning support at Larson’s CalcChat.com provides students with free online tutoring and solutions to all odd-numbered problems.
- 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.
- Side-By-Side Examples help students see not only that a problem can be solved in more than one way but also how different methods--algebraic, graphical, and numerical--yield the same result. The side-by-side format also addresses many different learning styles.
- Algebra of Calculus examples and exercises throughout the text emphasize various algebraic techniques used in calculus.
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. Cumulative Test for Chapters 1-3. 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. Cumulative Test for Chapters 4-6. 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. Cumulative Test for Chapters 7-9. 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.
Review of Fundamental Concepts of Algebra.
A.1. Real Numbers and Their Properties.
A.2. Exponents and Radicals.
A.3. Polynomials and Factoring.
A.4. Rational Expressions.
A.5. Solving Equations.
A.6. Linear Inequalities in One Variable.
A.7. Errors and the Algebra of Calculus.
APPENDIX B.
Concepts in Statistics (Web).
B.1 Representing Data.
B.2 Analyzing Data.
B.3 Modeling Data.
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ISBN: 9780357457207
WebAssign for Larson's Precalculus, 11th Edition is a flexible and fully customizable online instructional solution that puts powerful tools in the hands of instructors, enabling you deploy assignments, instantly assess individual student and class performance and help your students master the course concepts. With WebAssign’s powerful digital platform and Precalculus specific content, you can tailor your course with a wide range of assignment settings, add your own questions and content and access student and course analytics and communication tools.