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Precalculus with Limits Cynthia Y. Young

Precalculus with Limits By Cynthia Y. Young

Precalculus with Limits by Cynthia Y. Young


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Precalculus with Limits Summary

Precalculus with Limits by Cynthia Y. Young

The new 1st edition of Cynthia Young's Precalculus helps to bridge the gap between in-class work and homework by helping students overcome common learning barriers and build confidence in their ability to do mathematics. The text features unique, strong pedagogy and is written in a clear, single voice that speaks directly to students and mirrors how instructors communicate in lectures. In this text, Young enables students to become independent, successful learners by including multiple exercise types, more opportunities to use technology, and a themed modeling project that empowers students to apply what they have learned in the classroom to the world outside the classroom. The seamlessly integrated digital and print resources to accompany Precalculus offer additional tools for both instructors and students in order to help students experience success. Precalculus is suited for a 1 or 2 semester course and will focus on different learning styles. There will also be an emphasis on more challenging problems as well as streamlined prose to quicken the pace of the book.

About Cynthia Y. Young

Cynthia Young is an Associate Dean for the College of Sciences and a Professor of Mathematics. She received her B.A. in Mathematics Education from the University of North Carolina and both her M.S. in Electrical Engineering and her PhD in Applied Mathematics from the University of Washington. She went to UCF in 1997 and as an assistant professor she was selected by the Office of Naval Research for the Young Investigator Award to support her research in mathematical modeling of atmospheric effects on laser beams with interest in laser radar and laser communications systems. In addition to atmospheric propagation studies, Dr. Young leads several STEM education initiatives at UCF. From 2005-2008 Dr. Young was the NCAA Faculty Athletics Representative for UCF.?Her primary areas of responsibility as Associate Dean in the College of Sciences involve oversight of COS Assessment, External Research, and Faculty Affairs.

Table of Contents

Review: Equations and Inequalities 0.1 Linear Equations 0.2 Quadratic Equations 0.3 Other Types of Equations 0.4 Inequalities 0.5 Graphing Equations 0.6 Lines 0.7 Modeling Variation 1 Functions and Their Graphs 1.1 Functions 1.2 Graphs of Functions 1.3 Graphing Techniques: Transformations 1.4 Combining Functions 1.5 One-to-One Functions and Inverse Functions 2 Polynomial and Rational Functions 2.1 Quadratic Functions 2.2 Polynomial Functions of Higher Degree 2.3 Dividing Polynomials 2.4 The Real Zeros of a Polynomial Function 2.5 Complex Zeros: The Fundamental Theorem of Algebra 2.6 Rational Functions 3 Exponential and Logarithmic Functions 3.1 Exponential Functions and Their Graphs 3.2 Logarithmic Functions and Their Graphs 3.3 Properties of Logarithms 3.4 Exponential and Logarithmic Equations 3.5 Exponential and Logarithmic Models 4 Trigonometric Functions of Angles 4.1 Angle Measure 4.2 Right Triangle Trigonometry 4.3 Trigonometric Functions of Angles 4.4 The Law of Sines 4.5 The Law of Cosines 5 Trigonometric Functions of Real Numbers 5.1 Trigonometric Functions: The Unit Circle Approach 5.2 Graphs of Sine and Cosine Functions 5.3 Graphs of Other Trigonometric Functions 6 Analytic Trigonometry 6.1 Verifying Trigonometric Identities 6.2 Sum and Difference Identities 6.3 Double-Angle and Half-Angle Identities 6.4 Product-to-Sum and Sum-to-Product Identities 6.5 Inverse Trigonometric Functions 6.6 Trigonometric Equations 7 Vectors, the Complex Plane, and Polar Coordinates 7.1 Vectors 7.2 The Dot Product 7.3 Polar (Trigonometric) Form of Complex Numbers 7.4 Products, Quotients, Powers, and Roots of Complex Numbers 7.5 Polar Coordinates and Graphs of Polar Equations 8 Systems of Linear Equations and Inequalities 8.1 Systems of Linear Equations in Two Variables 8.2 Systems of Linear Equations in Three Variables 8.3 Systems of Linear Equations and Matrices 8.4 Matrix Algebra 8.5 The Determinant of a Square Matrix and Cramer's Rule 8.6 Partial Fractions 8.7 Systems of Linear Inequalities in Two Variables 9 Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations 9.1 Conic Basics 9.2 The Parabola 9.3 The Ellipse 9.4 The Hyperbola 9.5 Systems of Nonlinear Equations 9.6 Systems of Nonlinear Inequalities 9.7 Rotation of Axes 9.8 Polar Equations of Conics 9.9 Parametric Equations and Graphs 10 Sequences and Series 10.1 Sequences and Series 10.2 Arithmetic Sequences and Series 10.3 Geometric Sequences and Series 10.4 Mathematical Induction 10.5 The Binomial Theorem 11 Limits: A Preview to Calculus 992 11.1 Introduction to Limits: Estimating Limits Numerically and Graphically 11.2 Techniques for Finding Limits 11.3 Tangent Lines and Derivatives 11.4 Limits at Infinity; Limits of Sequences 11.5 Finding the Area Under a Curve Appendix Prerequisites: Fundamentals of Algebra A.1 Real Numbers A.2 Integer Exponents and Scientific Notation A.3 Polynomials: Basic Operations A.4 Factoring Polynomials A.5 Rational Expressions A.6 Rational Exponents and Radicals A.7 Complex Numbers

Additional information

CIN0470532025G
9780470532027
0470532025
Precalculus with Limits by Cynthia Y. Young
Used - Good
Hardback
John Wiley and Sons Ltd
2010-01-11
1272
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

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