 Chapter 1: Fundamentals
 Chapter 1.1: SETS OF REAL NUMBERS
 Chapter 1.2: ABSOLUTE VALUE
 Chapter 1.3: SOLVING EQUATIONS (REVIEW AND PREVIEW)
 Chapter 1.4: RECTANGULAR COORDINATES. VISUALIZING DATA
 Chapter 1.5: GRAPHS AND GRAPHING UTILITIES
 Chapter 1.6: EQUATIONS OF LINES
 Chapter 1.7: SYMMETRY AND GRAPHS. CIRCLES
 Chapter 10: Systems of Equations
 Chapter 10.1: SYSTEMS OF TWO LINEAR EQUATIONS IN TWO UNKNOWNS
 Chapter 10.2: GAUSSIAN ELIMINATION
 Chapter 10.3: MATRICES
 Chapter 10.4: THE INVERSE OF A SQUARE MATRIX
 Chapter 10.5: DETERMINANTS AND CRAMERS RULE
 Chapter 10.6: NONLINEAR SYSTEMS OF EQUATIONS
 Chapter 10.7: SYSTEMS OF INEQUALITIES
 Chapter 11: The Conic Sections
 Chapter 11.1: THE BASIC EQUATIONS
 Chapter 11.2: THE PARABOLA
 Chapter 11.3: TANGENTS TO PARABOLAS (OPTIONAL SECTION)
 Chapter 11.4: THE ELLIPSE
 Chapter 11.5: THE HYPERBOLA
 Chapter 11.6: THE FOCUSDIRECTRIX PROPERTY OF CONICS
 Chapter 11.7: THE CONICS IN POLAR COORDINATES
 Chapter 11.8: ROTATION OF AXES
 Chapter 12: Roots of Polynomial Equations
 Chapter 12.1: THE COMPLEX NUMBER SYSTEM
 Chapter 12.2: DIVISION OF POLYNOMIALS
 Chapter 12.3: THE REMAINDER THEOREM AND THE FACTOR THEOREM
 Chapter 12.4: THE FUNDAMENTAL THEOREM OF ALGEBRA
 Chapter 12.5: RATIONAL AND IRRATIONAL ROOTS
 Chapter 12.6: CONJUGATE ROOTS AND DESCARTESS RULE OF SIGNS
 Chapter 12.7: INTRODUCTION TO PARTIAL FRACTIONS
 Chapter 12.8: MORE ABOUT PARTIAL FRACTIONS
 Chapter 13: Additional Topics in Algebra
 Chapter 13.1: MATHEMATICAL INDUCTION
 Chapter 13.2: THE BINOMIAL THEOREM
 Chapter 13.3: INTRODUCTION TO SEQUENCES AND SERIES
 Chapter 13.4: ARITHMETIC SEQUENCES AND SERIES
 Chapter 13.5: GEOMETRIC SEQUENCES AND SERIES
 Chapter 13.6: DEMOIVRES THEOREM
 Chapter 2: Equations and Inequalities
 Chapter 2.1: QUADRATIC EQUATIONS: THEORY AND EXAMPLES
 Chapter 2.2: OTHER TYPES OF EQUATIONS
 Chapter 2.3: INEQUALITIES
 Chapter 2.4: MORE ON INEQUALITIES
 Chapter 3: Functions
 Chapter 3.1: THE DEFINITION OF A FUNCTION
 Chapter 3.2: THE GRAPH OF A FUNCTION
 Chapter 3.3: SHAPES OF GRAPHS. AVERAGE RATE OF CHANGE
 Chapter 3.4: TECHNIQUES IN GRAPHING
 Chapter 3.5: METHODS OF COMBINING FUNCTIONS. ITERATION
 Chapter 3.6: INVERSE FUNCTIONS
 Chapter 4: Polynimoial and Rational Functions.Applications to Optimization
 Chapter 4.1: LINEAR FUNCTIONS
 Chapter 4.2: QUADRATIC FUNCTIONS
 Chapter 4.3: USING ITERATION TO MODEL POPULATION GROWTH (Optional Section)
 Chapter 4.4: SETTING UP EQUATIONS THAT DEFINE FUNCTIONS
 Chapter 4.5: MAXIMUM AND MINIMUM PROBLEMS
 Chapter 4.6: POLYNOMIAL FUNCTIONS
 Chapter 4.7: RATIONAL FUNCTIONS
 Chapter 5: Exponential and Logarithmic Functions
 Chapter 5.1: EXPONENTIAL FUNCTIONS
 Chapter 5.2: THE EXPONENTIAL FUNCTION y ex
 Chapter 5.3: LOGARITHMIC FUNCTIONS
 Chapter 5.4: PROPERTIES OF LOGARITHMS
 Chapter 5.5: EQUATIONS AND INEQUALITIES WITH LOGS AND EXPONENTS
 Chapter 5.6: COMPOUND INTEREST
 Chapter 5.7: EXPONENTIAL GROWTH AND DECAY
 Chapter 6: The Trigonometric Functions
 Chapter 6.1: RADIAN MEASURE
 Chapter 6.2: TRIGONOMETRIC FUNCTIONS OF ANGLES
 Chapter 6.3: EVALUATING THE TRIGONOMETRIC FUNCTIONS
 Chapter 6.4: ALGEBRA AND THE TRIGONOMETRIC FUNCTIONS
 Chapter 6.5: RIGHTTRIANGLE TRIGONOMETRY
 Chapter 7: Graphs of the Trigonometric Functions
 Chapter 7.1: TRIGONOMETRIC FUNCTIONS OF REAL NUMBERS
 Chapter 7.2: GRAPHS OF THE SINE AND COSINE FUNCTIONS
 Chapter 7.3: GRAPHS OF y A sin(Bx C) AND y A cos(Bx C)
 Chapter 7.4: SIMPLE HARMONIC MOTION
 Chapter 7.5: GRAPHS OF THE TANGENT AND THE RECIPROCAL FUNCTIONS
 Chapter 8: Analytical Trigonometry
 Chapter 8.1: THE ADDITION FORMULAS
 Chapter 8.2: THE DOUBLEANGLE FORMULAS
 Chapter 8.3: THE PRODUCTTOSUM AND SUMTOPRODUCT FORMULAS
 Chapter 8.4: TRIGONOMETRIC EQUATIONS
 Chapter 8.5: THE INVERSE TRIGONOMETRIC FUNCTIONS
 Chapter 9: Additional Topics In Trigonometry
 Chapter 9.1: RIGHTTRIANGLE APPLICATIONS
 Chapter 9.2: THE LAW OF SINES AND THE LAW OF COSINES
 Chapter 9.3: VECTORS IN THE PLANE: A GEOMETRIC APPROACH
 Chapter 9.4: VECTORS IN THE PLANE: AN ALGEBRAIC APPROACH
 Chapter 9.5: PARAMETRIC EQUATIONS
 Chapter 9.6: INTRODUCTION TO POLAR COORDINATES
 Chapter 9.7: CURVES IN POLAR COORDINATES
Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign) 4th Edition  Solutions by Chapter
Full solutions for Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign)  4th Edition
ISBN: 9780534402303
Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign)  4th Edition  Solutions by Chapter
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Characteristic polynomial of a square matrix A
det(xIn  A), where A is an n x n matrix

Control
The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

Coordinate plane
See Cartesian coordinate system.

Inverse sine function
The function y = sin1 x

Lemniscate
A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

Line graph
A graph of data in which consecutive data points are connected by line segments

Linear correlation
A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

Normal distribution
A distribution of data shaped like the normal curve.

Parametric equations for a line in space
The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

Probability distribution
The collection of probabilities of outcomes in a sample space assigned by a probability function.

Quotient identities
tan ?= sin ?cos ?and cot ?= cos ? sin ?

Reference triangle
For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the xaxis, and a perpendicular dropped from a point on the terminal side to the xaxis. The angle in a reference triangle at the origin is the reference angle

Row echelon form
A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

Semiperimeter of a triangle
Onehalf of the sum of the lengths of the sides of a triangle.

Statute mile
5280 feet.

Sum of a finite geometric series
Sn = a111  r n 2 1  r

Sum of complex numbers
(a + bi) + (c + di) = (a + c) + (b + d)i

Symmetric property of equality
If a = b, then b = a

Upper bound test for real zeros
A test for finding an upper bound for the real zeros of a polynomial.

xzplane
The points x, 0, z in Cartesian space.