Precalculus: A Unit Circle Approach / Edition 3 available in Other Format
Precalculus: A Unit Circle Approach / Edition 3
- ISBN-10:
- 0134433203
- ISBN-13:
- 9780134433202
- Pub. Date:
- 02/02/2017
- Publisher:
- Pearson Education
- ISBN-10:
- 0134433203
- ISBN-13:
- 9780134433202
- Pub. Date:
- 02/02/2017
- Publisher:
- Pearson Education
Precalculus: A Unit Circle Approach / Edition 3
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Overview
Providing the rigor of solid mathematics with an engaging and friendly approach
As teachers, Ratti and McWaters saw firsthand where their Precalculus and Calculus students struggled, where they needed help making connections, and what material they needed to be successful in calculus. They decided to partner and write this text with the primary goal of preparing students to be successful in calculus and future STEM courses. Their experience in the classroom shows in each chapter. The focus on conceptual development, real-life applications, and extensive exercises, encourages a deeper understanding of the mathematics. Precalculus: A Unit Circle Approach, 3rd Edition, includes thorough coverage of topics as preparation for calculus, including; trig identities, difference quotient, functional composition, decomposition and emphasizes graphing techniques/transformations.
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MyLabTM Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. At University of South Florida, the authors’ school, student results improved when using this book with MyLab Math. Published results are available at Pearsonmylabandmastering.com on the Results page. For the new edition, MyLab Math continues to expand the comprehensive auto-graded exercise options. The pre-existing exercises were carefully reviewed, vetted, and improved using aggregated student usage and performance data over time. In addition, MyLab Math includes new options to support conceptual learning, visualization, and student preparedness.
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Product Details
ISBN-13: | 9780134433202 |
---|---|
Publisher: | Pearson Education |
Publication date: | 02/02/2017 |
Edition description: | 3rd ed. |
Pages: | 1104 |
Product dimensions: | 8.40(w) x 11.00(h) x 1.40(d) |
About the Author
Marcus McWaters is currently an Associate Professor at the University of South Florida (USF). He is a former Chair of the Department of Mathematics and Statistics at USF. Since receiving his PhD in mathematics from the University of Florida, he has taught all levels of undergraduate and graduate courses, with class sizes ranging from 3 to 250. As Chair, he successfully structured a course delivery system for lower-level courses that improved the low retention rate in those courses at USF. He is also a founding member of the USF Center for Digital and Computational Video. When not involved with mathematics or administrative activity, he enjoys traveling with his wife and two daughters, theater, waterskiing and racquetball.
Leslaw Skrzypek is currently the Chair of the Department of Mathematics and Statistics at the University of South Florida. His research is in the area of Banach Spaces and Approximation Theory. He is the recipient of a Fulbright Award and a NATO Advanced Grant research award, and is a founding director of the USF Center for Complex Data Systems. Throughout his career, Professor Skrzypek has enjoyed teaching all levels of courses, from remedial to graduate real analysis. Over the years he also has been involved in training students for the Mathematical Olympiads. He enjoys nature, listening to music and spending time with his family.
Jessica Bernards has been teaching mathematics since 2005. She began her career at the high-school level and transitioned to teaching at Portland Community College in 2010. She has taught a wide range of mathematics courses from developmental math up to calculus and has created curricula for each level. Bernards is a member of AMATYC's Project ACCCESS Cohort 9, where she developed a math study skills program that is now used across the US. In 2017, she was the honored recipient of the Leila and Simon Peskoff AMATYC Award for her work with Project ACCCESS, and in 2021 received the AMATYC Teaching Excellence Award.
Wendy Fresh has been a full-time instructor at Portland Community College (PCC) since 1997. She has taught a wide range of classes, from developmental math through calculus, both on campus and online. Fresh began her teaching career in 1992 in both rural and urban high schools. Her love of creating curricula to bring classrooms to life has led to work with technologies that complement her many courses. She earned her bachelor's degree in mathematics education from the University of Oregon and her master's degree in the teaching of mathematics from Portland State University.
Table of Contents
1. Graphs and Functions1.1 Graphs of Equations
1.2 Lines
1.3 Functions
1.4 A Library of Functions
1.5 Transformations of Functions
1.6 Combining Functions; Composite Functions
1.7 Inverse Functions
2. Polynomial and Rational Functions
2.1 Quadratic Functions
2.2 Polynomial Functions
2.3 Dividing Polynomials and the Rational Zeros Test
2.4 Rational Functions
2.5 Polynomial and Rational Inequalities
2.6 Zeros of a Polynomial Function
2.7 Variation
3. Exponential and Logarithmic Functions
3.1 Exponential Functions
3.2 Logarithmic Functions
3.3 Rules of Logarithms
3.4 Exponential and Logarithmic Equations and Inequalities
3.5 Logarithmic Scales; Modeling
4. Trigonometric Functions
4.1 Angles and Their Measure
4.2 The Unit Circle; Trigonometric Functions of Real Numbers
4.3 Trigonometric Functions of Angles
4.4 Graphs of the Sine and Cosine Functions
4.5 Graphs of the Other Trigonometric Functions
4.6 Inverse Trigonometric Functions
5. Analytic Trigonometry
5.1 Trigonometric Identities
5.2 Sum and Difference Formulas
5.3 Double-Angle and Half-Angle Formulas
5.4 Product-to-Sum and Sum-to-Product Formulas
5.5 Trigonometric Equations
6. Applications of Trigonometric Functions
6.1 Right-Triangle Trigonometry
6.2 The Law of Sines
6.3 The Law of Cosines
6.4 Vectors
6.5 The Dot Product
6.6 Polar Coordinates
6.7 Polar Form of Complex Numbers; DeMoivre’s Theorem
7. Systems of Equations and Inequalities
7.1 Systems of Equations in Two Variables
7.2 Systems of Linear Equations in Three Variables
7.3 Systems of Inequalities
7.4 Matrices and Systems of Equations
7.5 Determinants and Cramer’s Rule
7.6 Partial-Fraction Decomposition
7.7 Matrix Algebra
7.8 The Matrix Inverse
8. Analytic Geometry
8.1 Conic Sections: Overview
8.2 The Parabola
8.3 The Ellipse
8.4 The Hyperbola
8.5 Rotation of Axes
8.6 Polar Equations of Conics
8.7 Parametric Equations
9. Further Topics in Algebra
9.1 Sequences and Series
9.2 Arithmetic Sequences; Partial Sums
9.3 Geometric Sequences and Series
9.4 Mathematical Induction
9.5 The Binomial Theorem
9.6 Counting Principles
9.7 Probability
10. An Introduction to Calculus
10.1 Finding Limits Using Tables and Graphs
10.2 Finding Limits Algebraically
10.3 Infinite Limits and Limits at Infinity
10.4 Introduction to Derivatives
10.5 Area and the Integral
Appendix A. Review
A.1 The Real Numbers; Integer Exponents
A.2 Polynomials
A.3 Rational Expressions
A.4 Radical and Rational Exponents
A.5 Topics in Geometry
A.6 Equations
A.7 Inequalities
A.8 Complex Numbers