Precalculus A Unit Circle Approach -- Access Card

ISBN-10: 0131992635

ISBN-13: 9780131992634

Edition: 2012 (Revised)

Authors: Kirk Trigsted

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Book details

Copyright year: 2012
Publisher: Pearson Education, Limited
Publication date: 6/22/2011
Binding: Print, Other 
Pages: 1650
Size: 7.00" wide x 9.25" long x 0.25" tall
Weight: 0.440
Language: English

Kirk Trigsted teaches mathematics at the University of Idaho and has been Director of the Polya Mathematics Center since its inception in 2001. Kirk has taught with MyMathLab for many years, and has contributed to the videos for several Pearson books. Kirk is also actively involved with the National Center for Academic Transformation (NCAT).

The Rectangular Coordinate System, Lines, and Circles
The Rectangular Coordinate System
Parallel and Perpendicular Lines
Relations and Functions
Properties of a Function's Graph
Graphs of Basic Functions; Piecewise Functions
Transformations of Functions
The Algebra of Functions; Composite Functions
One-to-One Functions; Inverse Functions
Polynomial and Rational Functions
Quadratic Functions
Applications and Modeling of Quadratic Functions
The Graphs of Polynomial Functions
Synthetic Division; The Remainder and Factor Theorems
The Zeros of Polynomial Functions; The Fundamental Theorem of Algebra
Rational Functions and Their Graphs
Exponential and Logarithmic Functions and Equations
Exponential Functions
The Natural Exponential Function
Logarithmic Functions
Properties of Logarithms
Exponential and Logarithmic Equations
Applications of Exponential and Logarithmic Functions
An Introduction to Trigonometric Functions
Angles: Degree and Radian Measure
Applications of Radian Measure
The Unit Circle
Trigonometric Functions of General Angles
Right Triangle Trigonometry
The Graphs of Trigonometric Functions
The Graphs of Sine and Cosine
More on Graphs of Sine and Cosine; Phase Shift
The Graphs of the Tangent, Cosecant, Secant, and Cotangent Functions
Inverse Trigonometric Functions I
Inverse Trigonometric Functions II
Trigonometric Identities, Formulas, and Equations
Trigonometric Identities
The Sum and Difference Formulas
The Double-Angle and Half-Angle Formulas
The Product-to-Sum and Sum-to-Product Formulas
Trigonometric Equations
Applications of Trigonometry
The Law of Sines
The Law of Cosines
Area of Triangles
Polar Equations, Complex Numbers, and Vectors
Polar Coordinates and Polar Equations
The Graphs of Polar Equations
Complex Numbers; DeMoivre's Theorem
The Dot Product
Conic Sections
The Parabola
The Ellipse
The Hyperbola
Systems of Equations and Inequalities
Systems of Linear Equations in Two Variables
Systems of Linear Equations in Three Variables
Inconsistent and Dependent Linear Systems in Three Variables
Partial Fraction Decomposition
Systems of Nonlinear Equations
Systems of Inequalities
Matrix Operations
Inverses of Matrices and Matrix Equations
Determinants and Cramer's Rule
Sequences and Series; Counting and Probability
Introduction to Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Theorem
Mathematical Inductions
The Theory of Counting
An Introduction to Probability
Real Numbers
The Order of Operations and Algebraic Expressions
The Laws of Exponents; Radicals
Factoring Polynomials
Rational Expressions
Linear Equations
Applications of Linear Equations
Complex Numbers
Quadratic Equations
Applications of Quadratic Equations
Other Types of Equations
Linear Inequalities
Absolute Value Equations and Inequalities
Polynomial and Rational Inequalities
Degree, Minute, Second Form and Degree Decimal Form
Conic Section Proofs
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