9780130553058

Applied College Algebra and Trigonometry With Calculus and Study Wizard

by
  • ISBN13:

    9780130553058

  • ISBN10:

    0130553050

  • Format: Hardcover
  • Copyright: 2000-05-01
  • Publisher: Prentice Hall
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Table of Contents

Solving Linear Equations and Inequalities
1(44)
Solving Linear Equations
9(6)
Solving Literal Equations
15(1)
Solving Linear Inequalities
15(8)
Variation
23(7)
Applications
30(15)
Factors and Fractions
45(44)
Factoring: Greatest Common Factor and Differences of Squares
46(6)
Factoring Trinomials
52(6)
Equivalent Fractions
58(4)
Multiplication and Division of Fractions
62(6)
Addition and Subtraction of Fractions
68(7)
Fractional Equations and Applications
75(14)
Exponents and Radicals
89(34)
Integral Exponents
90(6)
Rational Exponents
96(5)
Simplest Radical Form
101(5)
Operations with Radicals
106(5)
Equations with Radicals
111(12)
Functions and Graphs
123(42)
Functions
124(4)
The Rectangular Coordinate System
128(4)
Graphing a Function
132(6)
Distance and Slope
138(8)
Graphing an Inequality
146(7)
Applications
153(12)
Quadratic Equations
165(42)
Solution by Factoring and Completing the Square
166(6)
Solution by the Quadratic Formula
172(10)
Equations in Quadratic Form
182(5)
Nonlinear Inequalities
187(5)
Applications
192(15)
Systems of Equations
207(48)
Graphical Solution of Systems of Linear Equations
208(8)
Algebraic Solution of Two Linear Equations
216(11)
Algebraic Solution of Three Linear Equations
227(11)
Applications
238(17)
Solving Higher-Degree Equations
255(28)
The Remainder Theorem and the Factor Theorem
256(3)
Synthetic Division
259(5)
Roots of an Equation
264(4)
Rational Roots
268(4)
Irrational Roots by Linear Approximation
272(11)
Exponential and Logarithmic Functions
283(34)
The Exponential Function
284(8)
The Logarithmic Function
292(4)
Properties of Logarithms
296(6)
Exponential and Logarithmic Equations
302(15)
Right Angle Trigonometry
317(32)
Angles
318(3)
Defining the Trigonometric Functions
321(6)
Values of the Trigonometric Functions
327(7)
The Right Triangle
334(15)
Trigonometric Functions of Any Angle
349(28)
Signs of the Trigonometric Functions
350(5)
Trigonometric Functions of Any Angle
355(6)
Radian Measure
361(4)
Applications of Radian Measure
365(12)
Vectors and Oblique Triangles
377(38)
Vectors
378(7)
Applications of Vectors
385(9)
The Law of Sines
394(8)
The Law of Cosines
402(13)
Graphs of the Trigonometric Functions
415(38)
Graphs of Sine and Cosine Functions: Amplitude
416(6)
Graphs of Sine and Cosine Functions: Period
422(5)
Graphs of Sine and Cosine Functions: Phase Shift
427(5)
Applications
432(6)
Graphs of the Other Trigonometric Functions
438(4)
Composite Trigonometric Curves
442(11)
Trigonometric Equations and Identities
453(40)
Basic Trigonometric Identities
454(7)
The Sum or Difference of Two Angles
461(6)
Double-Angle and Half-Angle Identities
467(6)
Trigonometric Equations
473(7)
The Inverse Trigonometric Functions
480(13)
Complex Numbers
493(34)
Introduction to Complex Numbers
494(4)
Operations in Rectangular Form
498(4)
Polar Form and Exponential Form
502(6)
Products, Quotients, Powers, and Roots of Complex Numbers
508(6)
Applications
514(13)
Analytic Geometry
527(48)
The Straight Line
528(6)
The Circle
534(5)
The Parabola
539(7)
The Ellipse
546(7)
The Hyperbola
553(7)
The Second-Degree Equation
560(15)
Introduction to Statistics and Empirical Curve Fitting
575(36)
Frequency Distributions
576(5)
Measures of Central Tendency
581(4)
Measures of Dispersion
585(6)
Empirical Curve Fitting
591(20)
Sequences, Series, and The Binomial Theorem
611(24)
Arithmetic Progressions
612(5)
Geometric Progressions
617(5)
Infinite Geometric Series
622(3)
The Binomial Theorem
625(10)
Differentiation with Applications
635(76)
Limits and Continuity
636(12)
The Derivative
648(11)
The Derivative of a Polynomial
659(8)
The Derivatives of Products, Quotients, and Powers of Functions
667(10)
Implicit Differentiation
677(6)
Applications
683(14)
Applications: Rates of Change
697(14)
Integration with Applications
711(54)
Differentials
712(5)
The Indefinite Integral
717(9)
The Area Under a Curve
726(7)
The Definite Integral
733(17)
Numerical Integration
750(15)
Derivatives of Transcendental Functions
765(48)
Derivatives of the Sine and Cosine Functions
766(12)
Derivatives of the Other Trigonometric Functions
778(7)
Derivatives of the Inverse Trigonometric Functions
785(9)
Derivative of the Logarithmic Function
794(6)
Derivative of the Exponential Function
800(13)
Techniques of Integration
813(54)
The General Power Rule
814(4)
Integrating Exponential and Logarithmic Functions
818(9)
Integrating Basic Trigonometric Functions
827(8)
Integrating Other Trigonometric Forms
835(7)
Inverse Trigonometric Forms and Trigonometric Substitution
842(8)
Integration by Parts
850(5)
Integration Using Tables
855(12)
Series Expansion of Functions
867(36)
Maclaurin Series
868(5)
Operations with Series
873(6)
Computations with Series
879(4)
Taylor Series
883(4)
Fourier Series
887(16)
Introduction to Differential Equations
903(122)
Solving Differential Equations
904(7)
Integrable Combinations
911(8)
Applications of First-Order Differential Equations
919(10)
Higher-Order Differential Equations
929(8)
Non-Homogeneous Differential Equations
937(9)
The Laplace Transform
946(15)
APPENDIXES
A A Review of Basic Algebraic Concepts
961(38)
B Geometry Review
999(10)
C Tables
1009(16)
Answers to Odd-Numbered Exercises 1025(88)
Index 1113

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