9780470532027

Engineers looking for an accessible approach to calculus will appreciate Young's introduction. The book offers a clear writing style that helps reduce any math anxiety they may have while developing their problem-solving skills. It incorporates Parallel Words and Math boxes that provide detailed annotations which follow a multi-modal approach. Your Turn exercises reinforce concepts by allowing them to see the connection between the exercises and examples. A five-step problem solving method is also used to help engineers gain a stronger understanding of word problems.

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.

Review: Equations and Inequalities
Linear Equations
Quadratic Equations
Other Types of Equations
Inequalities
Graphing Equations
Lines
Modeling Variation
Functions and Their Graphs
Functions
Graphs of Functions
Graphing Techniques: Transformations
Combining Functions
One-to-One Functions and Inverse Functions
Polynomial and Rational Functions
Quadratic Functions
Polynomial Functions of Higher Degree
Dividing Polynomials
The Real Zeros of a Polynomial Function
Complex Zeros: The Fundamental Theorem of Algebra
Rational Functions
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
Trigonometric Functions of Angles
Angle Measure
Right Triangle Trigonometry
Trigonometric Functions of Angles
The Law of Sines
The Law of Cosines
Trigonometric Functions of Real Numbers
Trigonometric Functions: The Unit Circle Approach
Graphs of Sine and Cosine Functions
Graphs of Other Trigonometric Functions
Analytic Trigonometry
Verifying Trigonometric Identities
Sum and Difference Identities
Double-Angle and Half-Angle Identities
Product-to-Sum and Sum-to-Product Identities
Inverse Trigonometric Functions
Trigonometric Equations
Vectors, the Complex Plane, and Polar Coordinates
Vectors
The Dot Product
Polar (Trigonometric) Form of Complex Numbers
Products, Quotients, Powers, and Roots of Complex Numbers
Polar Coordinates and Graphs of Polar Equations
Systems of Linear Equations and Inequalities
Systems of Linear Equations in Two Variables
Systems of Linear Equations in Three Variables
Systems of Linear Equations and Matrices
Matrix Algebra
The Determinant of a Square Matrix and Cramer's Rule
Partial Fractions
Systems of Linear Inequalities in Two Variables
Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations
Conic Basics
The Parabola
The Ellipse
The Hyperbola
Systems of Nonlinear Equations
Systems of Nonlinear Inequalities
Rotation of Axes
Polar Equations of Conics
Parametric Equations and Graphs
Sequences and Series
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
Mathematical Induction
The Binomial Theorem
Limits: A Preview to Calculus 992
Introduction to Limits: Estimating Limits Numerically and Graphically
Techniques for Finding Limits
Tangent Lines and Derivatives
Limits at Infinity; Limits of Sequences
Finding the Area Under a Curve
Appendix Prerequisites: Fundamentals of Algebra
Real Numbers
Integer Exponents and Scientific Notation
Polynomials: Basic Operations
Factoring Polynomials
Rational Expressions
Rational Exponents and Radicals
Complex Numbers
Table of Contents provided by Publisher. All Rights Reserved.

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Precalculus with Limits

Precalculus with Limits

0470532025

Summary

Author Biography

Table of Contents

Supplemental Materials