Contemporary Precalculus : A Graphing Approach (5 Student)

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Contemporary Precalculus : A Graphing Approach (5 Student)

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  • 製本 Hardcover:ハードカバー版/ページ数 1058 p.
  • 言語 ENG,ENG
  • 商品コード 9780495108337
  • DDC分類 512.1

Full Description


Respected for its detailed guidance in using technology, CONTEMPORARY PRECALCULUS: A GRAPHING APPROACH, Fifth Edition, is written from the ground up to be used with graphing calculators that you may be using in your precalculus course. You'll appreciate that the text has also long been recognized for its careful, thorough explanations and its presentation of mathematics in an informal yet mathematically precise manner. The authors also emphasize the all-important "why?" of mathematics--which is addressed in both the exposition and in the exercise sets by focusing on algebraic, graphical, and numerical perspectives.

Table of Contents

Preface                                            xi
To the Instructor xiv
Ancillaries xvii
To the Student xix
Basics 1 (76)
The Real Number System 2 (17)
Special Topics: Decimal Representation 16 (3)
of Real Numbers
Solving Equations Algebraically 19 (20)
Special Topics: Absolute Value Equations 32 (1)
Special Topics: Variation 33 (6)
The Coordinate Plane 39 (14)
Lines 53 (24)
Review 69 (6)
Discovery Project 1 75 (2)
Graphs and Technology 77 (64)
Graphs 78 (14)
Solving Equations Graphically and 92 (9)
Numerically
Applications of Equations 101 (13)
Optimization Applications 114 (6)
Linear Models 120 (21)
Review 131 (6)
Discovery Project 2 137 (4)
Functions and Graphs 141 (98)
Functions 142 (9)
Functional Notation 151 (10)
Graphs of Functions 161 (18)
Special Topics: Parametric Graphing 175 (4)
Graphs and Transformations 179 (16)
Special Topics: Symmetry 189 (6)
Operations on Functions 195 (9)
Rates of Change 204 (13)
Inverse Functions 217 (22)
Review 228 (8)
Discovery Project 3 236 (3)
Polynomial and Rational Functions 239 (102)
Quadratic Functions 240 (10)
Polynomial Functions 250 (12)
Special Topics: Synthetic Division 259 (3)
Real Roots of Polynomials 262 (8)
Graphs of Polynomial Functions 270 (18)
Special Topics: Polynomial Models 283 (5)
Rational Functions 288 (20)
Special Topics: Other Rational Functions 304 (4)
Polynomial and Rational Inequalities 308 (13)
Special Topics: Absolute Value 317 (4)
Inequalities
Complex Numbers 321 (7)
Theory of Equations 328 (13)
Review 334 (6)
Discovery Project 4 340 (1)
Exponential and Logarithmic Functions 341 (86)
Radicals and Rational Exponents 342 (15)
Special Topics: Radical Equations 350 (7)
Exponential Functions 357 (18)
Special Topics: Compound Interest and 369 (6)
the Number e
Common and Natural Logarithmic Functions 375 (10)
Properties of Logarithms 385 (14)
Special Topics: Logarithmic Functions 392 (7)
to Other Bases
Algebraic Solutions of Exponential and 399 (10)
Logarithmic Equations
Exponential, Logarithmic, and Other Models 409 (18)
Review 419 (6)
Discovery Project 5 425 (2)
Trigonometric Functions 427 (86)
Angles and Their Measurement 428 (14)
Special Topics: Arc Length and Angular 435 (7)
Speed
The Sine, Cosine, and Tangent Functions 442 (10)
Alternate: The Sine, Cosine, and Tangent 452 (5)
Functions
Algebra and Identities 457 (9)
Basic Graphs 466 (11)
Periodic Graphs and Simple Harmonic Motion 477 (19)
Special Topics: Other Trigonometric 490 (6)
Graphs
Other Trigonometric Functions 496 (17)
Review 505 (7)
Discovery Project 6 512 (1)
Trigonometric Identities and Equations 513 (60)
Basic Identities and Proofs 514 (9)
Addition and Subtraction Identities 523 (12)
Special Topics: Lines and Angles 532 (3)
Other Identities 535 (10)
Inverse Trigonometric Functions 545 (10)
Trigonometric Equations 555 (18)
Review 567 (4)
Discovery Project 7 571 (2)
Triangle Trigonometry 573 (52)
Trigonometric Functions of Angles 574 (10)
Alternate: Trigonometric Functions of 584 (4)
Angles
Applications of Right Triangle 588 (9)
Trigonometry
The Law of Cosines 597 (9)
The Law of Sines 606 (19)
Special Topics: The Area of a Triangle 617 (3)
Review 620 (4)
Discovery Project 8 624 (1)
Applications of Trigonometry 625 (44)
The Complex Plane and Polar Form for 626 (6)
Complex Numbers
DeMoivre's Theorem and nth Roots of 632 (7)
Complex Numbers
Vectors in the Plane 639 (14)
The Dot Product 653 (16)
Review 662 (4)
Discovery Project 9 666 (3)
Analytic Geometry 669 (102)
Circles and Ellipses 671 (15)
Hyperbolas 686 (14)
Parabolas 700 (18)
Special Topics: Parametric Equations 713 (5)
for Conic Sections
Rotations and Second-Degree Equations 718 (9)
Special Topics: Rotation of Axes 722 (5)
Plane Curves and Parametric Equations 727 (16)
Polar Coordinates 743 (10)
Polar Equations of Conics 753 (18)
Review 763 (5)
Discovery Project 10 768 (3)
Systems of Equations 771 (54)
Systems of Linear Equations in Two 772 (20)
Variables
Special Topics: Systems of Nonlinear 784 (8)
Equations
Large Systems of Linear Equations 792 (14)
Matrix Methods for Square Systems 806 (19)
Review 819 (4)
Discovery Project 11 823 (2)
Discrete Algebra 825 (54)
Sequences and Sums 826 (11)
Arithmetic Sequences 837 (7)
Geometric Sequences 844 (13)
Special Topics: Infinite Series 852 (5)
The Binomial Theorem 857 (7)
Mathematical Induction 864 (15)
Review 873 (4)
Discovery Project 12 877 (2)
Limits and Continuity 879 (52)
Limits of Functions 880 (10)
Properties of Limits 890 (13)
Special Topics: The Formal Definition 897 (6)
of Limit
Continuity 903 (11)
Limits Involving Infinity 914 (17)
Review 924 (3)
Discovery Project 13 927 (4)
Appendix 1: Algebra Review 931 (22)
Appendix 2: Geometry Review 953 (11)
Appendix 3: Programs 964 (3)
Selected Answers 967
Index of Applications 1 (3)
Subject Index 4