Algebra and Trigonometry Structure and Method Book 2 (Student Version),9780395771181

Algebra and Trigonometry Structure and Method Book 2 (Student Version)

by
ISBN13: 9780395771181
ISBN10: 0395771188
Format: Hardcover
Pub. Date: 1996-03-01
Publisher(s): Houghton Mifflin College Div
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Table of Contents

Basic Concepts of Algebra
The Language of Algebra
Real Numbers and Their Graphs
1(5)
Simplifying Expressions
6(8)
Operating with Real Numbers
Basic Properties of Real Numbers
14(7)
Sums and Differences
21(6)
Products
27(6)
Quotients
33(4)
Solving Equations and Solving Problems
Solving Equations in One Variable
37(6)
Words into Symbols
43(6)
Problem Solving with Equations
49(10)
Inequalities and Proof
Working with Inequalities
Solving Inequalities in One Variable
59(6)
Solving Combined Inequalities
65(4)
Problem Solving Using Inequalities
69(4)
Working with Absolute Value
Absolute Value in Open Sentences
73(3)
Solving Absolute Value Sentences Graphically
76(5)
Proving Theorems
Theorems and Proofs
81(7)
Theorems about Order and Absolute Value
88(13)
Linear Equations and Functions
Linear Equations and Their Graphs
Open Sentences in Two Variables
101(6)
Graphs of Linear Equations in Two Variables
107(5)
The Slope of a Line
112(6)
Finding an Equation of a Line
118(6)
Linear Systems
Systems of Linear Equations in Two Variables
124(7)
Problem Solving: Using Systems
131(4)
Linear Inequalities in Two Variables
135(6)
Functions and Relations
Functions
141(5)
Linear Functions
146(7)
Relations
153(14)
Products and Factors of Polynomials
Working with Polynomials
Polynomials
167(4)
Using Laws of Exponents
171(3)
Multiplying Polynomials
174(5)
Factors of Polynomials
Using Prime Factorization
179(4)
Factoring Polynomials
183(5)
Factoring Quadratic Polynomials
188(6)
Applications of Factoring
Solving Polynomial Equations
194(4)
Problem Solving Using Polynomial Equations
198(4)
Solving Polynomial Inequalities
202(9)
Rational Expressions
Using the Laws of Exponents
Quotients of Monomials
211(5)
Zero and Negative Exponents
216(5)
Scientific Notation and Significant Digits
221(6)
Rational Expressions
Rational Algebraic Expressions
227(5)
Products and Quotients of Rational Expressions
232(3)
Sums and Differences of Rational Expressions
235(3)
Complex Fractions
238(4)
Problem Solving Using Fractional Equations
Fractional Coefficients
242(5)
Fractional Equations
247(12)
Irrational and Complex Numbers
Roots and Radicals
Roots of Real Numbers
259(5)
Properties of Radicals
264(6)
Sums of Radicals
270(4)
Binomials Containing Radicals
274(3)
Equations Containing Radicals
277(6)
Real Numbers and Complex Numbers
Rational and Irrational Numbers
283(5)
The Imaginary Number i
288(4)
The Complex Numbers
292(15)
Quadratic Equations and Functions
Solving Quadratic Equations
Completing the Square
307(4)
The Quadratic Formula
311(6)
Roots of Quadratic Equations
The Discriminant
317(5)
Equations in Quadratic Form
322(4)
Quadratic Functions and Their Graphs
Graphing y - k = a(x - h)2
326(7)
Quadratic Functions
333(5)
Writing Quadratic Equations and Functions
338(13)
Variation and Polynomial Equations
Variation and Proportion
Direct Variation and Proportion
351(7)
Inverse and Joint Variation
358(6)
Polynomial Equations
Dividing Polynomials
364(4)
Synthetic Division
368(4)
The Remainder and Factor Theorems
372(5)
Some Useful Theorems
377(24)
Solving Polynomial Equations
Finding Rational Roots
382(4)
Approximating Irrational Roots
386(5)
Linear Interpolation
391(10)
Analytic Geometry
Conic Sections: Circles and Parabolas
Distance and Midpoint Formulas
401(6)
Circles
407(5)
Parabolas
412(6)
Conic Sections: Ellipses and Hyperbolas
Ellipses
418(8)
Hyperbolas
426(6)
More on Central Conics
432(4)
Systems of Equations
The Geometry of Quadratic Systems
436(3)
Solving Quadratic Systems
439(5)
Systems of Linear Equations in Three Variables
444(11)
Exponential and Logarithmic Functions
Exponential Functions
Rational Exponents
455(4)
Real Number Exponents
459(4)
Composition and Inverses of Functions
463(5)
Logarithmic Functions
Definition of Logarithms
468(5)
Laws of Logarithms
473(5)
Applications
Applications of Logarithms
478(5)
Problem Solving: Exponential Growth and Decay
483(6)
The Natural Logarithm Function
489(12)
Sequences and Series
Sequences
Types of Sequences
501(6)
Arithmetic Sequences
507(3)
Geometric Sequences
510(8)
Series
Series and Sigma Notation
518(7)
Sums of Arithmetic and Geometric Series
525(6)
Infinite Geometric Series
531(6)
Binomial Expansions
Powers of Binomials
537(3)
The General Binomial Expansion
540(9)
Triangle Trigonometry
Trigonometric Functions
Angles and Degree Measure
549(6)
Trigonometric Functions of Acute Angles
555(6)
Trigonometric Functions of General Angles
561(7)
Values of Trigonometric Functions
568(6)
Triangle Trigonometry
Solving Right Triangles
574(6)
The Law of Cosines
580(6)
The Law of Sines
586(5)
Solving General Triangles
591(6)
Areas of Triangles
597(10)
Trigonometric Graphs; Identities
Circular Functions and Their Graphs
Radian Measure
607(6)
Circular Functions
613(6)
Periodicity and Symmetry
619(5)
Graphs of the Sine and Cosine
624(6)
Graphs of the Other Functions
630(6)
Trigonometric Identities
The Fundamental Identities
636(5)
Trigonometric Addition Formulas
641(5)
Double-Angle and Half-Angle Formulas
646(4)
Formulas for the Tangent
650(9)
Trigonometric Applications
Vectors
Vector Operations
659(7)
Vectors in the Plane
666(9)
Polar Coordinates and Complex Numbers
Polar Coordinates
675(5)
The Geometry of Complex Numbers
680(5)
De Moivre's Theorem
685(4)
Inverse Functions
The Inverse Cosine and Inverse Sine
689(4)
Other Inverse Functions
693(4)
Trigonometric Equations
697(12)
Statistics and Probability
Statistics
Presenting Statistical Data
709(4)
Analyzing Statistical Data
713(6)
The Normal Distribution
719(5)
Correlation
724(6)
Counting
Fundamental Counting Principles
730(4)
Permutations
734(4)
Combinations
738(5)
Probability
Sample Spaces and Events
743(2)
Probability
745(9)
Mutually Exclusive and Independent Events
754(13)
Matrices and Determinants
Matrices
Definition of Terms
767(3)
Addition and Scalar Multiplication
770(4)
Matrix Multiplication
774(5)
Applications of Matrices
779(8)
Inverses of Matrices
Determinants
787(3)
Inverses of Matrices
790(4)
Working with Determinants
Expansion of Determinants by Minors
794(4)
Properties of Determinants
798(3)
Cramer's Rule
801(9)
Tables 810(22)
Explorations 832(16)
Portfolio Projects 848(21)
Appendix
A-1 Common Logrithms: Notation and Interpolation
856(2)
A-2 Common Logrithms: Computation
858(4)
A-3 Discrete Mathematics
862(2)
A-4 Preparing for College Entrance Exams
864(5)
Glossary 869(10)
Index 879

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