Title:
Algebra and trigonometry : enhanced with graphing utilities
Personal Author:
Edition:
2nd ed.
Publication Information:
New Jersey : Prentice Hall, 2000
ISBN:
9780130833341
Added Author:
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
---|---|---|---|---|---|
Searching... | 30000004740795 | QA154.2 S835 2000 | Open Access Book | Book | Searching... |
Searching... | 30000004434985 | QA154.2 S835 2000 | Open Access Book | Book | Searching... |
Searching... | 30000003411307 | QA154.2 S835 2000 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
This text will be useful both to students who have little mathematical background and those who are experienced in the subject and want to continue studying it. Each chapter has a review section with problems and a project section that incorporates real life examples of how the newly learned concept
Table of Contents
Preface to the Instructor | p. ix |
Preface to the Student | p. xiii |
List of Application | p. xxiii |
Photo Credits | p. xxvii |
Chapter 1 Graphs | p. 1 |
1.1 Rectangular Coordinates; Graphing Utilities; Scatter Diagrams | p. 2 |
1.2 Graphs of Equations | p. 15 |
1.3 Solving Equations | p. 29 |
1.4 Setting Up Equations; Applications | p. 40 |
1.5 Solving Inequalities | p. 53 |
1.6 Lines | p. 66 |
1.7 Circles | p. 83 |
Chapter Review | p. 90 |
Chapter Projects | p. 95 |
Chapter 2 Linear and Quadratic Functions | p. 97 |
2.1 Functions | p. 98 |
2.2 Linear Functions and Models | p. 115 |
2.3 Quadratic Equations and Functions | p. 124 |
2.4 Quadratic Functions and Models | p. 139 |
Chapter Review | p. 150 |
Chapter Projects | p. 154 |
Chapter 3 Functions and Their Graphs | p. 155 |
3.1 Characteristics of Functions; Library of Functions | p. 156 |
3.2 Graphing Techniques: Transformations | p. 178 |
3.3 Operations on Functions; Composite Functions | p. 191 |
3.4 Mathematical Models: Constructing Functions | p. 200 |
Chapter Review | p. 208 |
Chapter Projects | p. 212 |
Chapter 4 Polynomial and Rational Functions | p. 213 |
4.1 Power Functions and Models | p. 214 |
4.2 Polynomial Functions and Models | p. 221 |
4.3 Polynomial Division | p. 234 |
4.4 The Real Zeros of a Polynomial Function | p. 240 |
4.5 Complex Numbers; Quadratic Equations with a Negative Discriminant | p. 254 |
4.6 Complex Zeros; Fundamental Theorem of Algebra | p. 263 |
4.7 Rational Functions | p. 270 |
4.8 Polynomial and Rational Inequalities | p. 293 |
Chapter Review | p. 302 |
Chapter Projects | p. 307 |
Chapter 5 Exponential and Logarithmic Functions | p. 309 |
5.1 One-to-One Functions; Inverse Functions | p. 310 |
5.2 Exponential Functions | p. 323 |
5.3 Logarithmic Functions | p. 337 |
5.4 Properties of Logarithms | p. 347 |
5.5 Logarithmic and Exponential Equations | p. 355 |
5.6 Compound Interest | p. 362 |
5.7 Growth and Decay | p. 372 |
5.8 Exponential, Logarithmic, and Logistic Curve Fitting | p. 382 |
Chapter Review | p. 393 |
Chapter Projects | p. 398 |
Chapter 6 Systems of Equations and Inequalities | p. 401 |
6.1 Systems of Linear Equations: Two Equations Containing Two Variables | p. 402 |
6.2 Systems of Linear Equations: Three Equations Containing Three Variables | p. 413 |
6.3 Systems of Linear Equations: Matrices | p. 419 |
6.4 Systems of Linear Equations: Determinants | p. 434 |
6.5 Matrix Algebra | p. 445 |
6.6 Systems of Linear Inequalities; Linear Programming | p. 464 |
6.7 Partial Fraction Decomposition | p. 481 |
Chapter Review | p. 488 |
Chapter Projects | p. 493 |
Chapter 7 Trigonometric Functions | p. 495 |
7.1 Angles and Their Measure | p. 496 |
7.2 Right Triangle Trigonometry | p. 508 |
7.3 Computing the Values of Trigonometric Functions of Given Angles | p. 519 |
7.4 Trigonometric Functions of General Angles | p. 526 |
7.5 Properties of the Trigonometric Functions; Unit Circle Approach | p. 537 |
7.6 Graphs of the Trigonometric Functions | p. 548 |
7.7 Sinusoidal Graphs; Sinusoidal Curve Fitting | p. 560 |
Chapter Review | p. 579 |
Chapter Projects | p. 585 |
Chapter 8 Analytic Trigonometry | p. 587 |
8.1 Trigonometric Identities | p. 589 |
8.2 Sum and Difference Formulas | p. 594 |
8.3 Double-Angle and Half-Angle Formulas | p. 603 |
8.4 Product-to-Sum and Sum-to-Product Formulas | p. 613 |
8.5 The Inverse Trigonometric Functions | p. 616 |
8.6 Trigonometric Equations (I) | p. 632 |
8.7 Trigonometric Equations (II) | p. 637 |
Chapter Review | p. 644 |
Chapter Projects | p. 648 |
Chapter 9 Applications of Trigonometric Functions | p. 651 |
9.1 Solving Right Triangles | p. 652 |
9.2 The Law of Sines | p. 661 |
9.3 The Law of Cosines | p. 673 |
9.4 The Area of a Triangle | p. 679 |
9.5 Simple Harmonic Motion; Damped Motion | p. 685 |
Chapter Review | p. 692 |
Chapter Projects | p. 697 |
Chapter 10 Polar Coordinates; Vectors | p. 699 |
10.1 Polar Coordinates | p. 700 |
10.2 Polar Equations and Graphs | p. 708 |
10.3 The Complex Plane; DeMoivre's Theorem | p. 728 |
10.4 Vectors | p. 736 |
10.5 The Dot Product | p. 747 |
Chapter Review | p. 757 |
Chapter Projects | p. 761 |
Chapter 11 Analytic Geometry | p. 763 |
11.1 Conics | p. 764 |
11.2 The Parabola | p. 765 |
11.3 The Ellipse | p. 777 |
11.4 The Hyperbola | p. 790 |
11.5 Rotation of Axes; General Form of a Conic | p. 804 |
11.6 Polar Equations of Conics | p. 813 |
11.7 Plane Curves and Parametric Equations | p. 819 |
11.8 Systems of Nonlinear Equations | p. 834 |
Chapter Review | p. 845 |
Chapter Projects | p. 849 |
Chapter 12 Sequences; Induction; The Binomial Theorem | p. 851 |
12.1 Sequences | p. 852 |
12.2 Arithmetic Sequences | p. 864 |
12.3 Geometric Sequences; Geometric Series | p. 871 |
12.4 Mathematical Induction | p. 887 |
12.5 The Binomial Theorem | p. 891 |
Chapter Review | p. 898 |
Chapter Projects | p. 902 |
Chapter 13 Counting and Probability | p. 905 |
13.1 Sets and Counting | p. 906 |
13.2 Permutations and Combinations | p. 912 |
13.3 Probability of Equally Likely Outcomes | p. 922 |
13.4 Analyzing Univariate Data; Obtaining Probabilities from Data | p. 938 |
Chapter Review | p. 952 |
Chapter Projects | p. 957 |
Appendix Review | p. 959 |
1. Real Numbers | p. 959 |
2. Algebra Review | p. 973 |
3. Geometry Review | p. 984 |
4. Integer Exponents | p. 990 |
5. Polynomials | p. 998 |
6. Factoring Polynomials | p. 1006 |
7. Rational Expressions | p. 1015 |
8. Square Roots; Radicals | p. 1027 |
9. Rational Exponents | p. 1035 |
Answers | p. 1 |
Index | p. 1 |