This book, intended for a graphing calculator optional college algebra and trigonometry course, offers students the content and tools they will need to successfully master college algebra and trigonometry. The authors have addressed the needs of students who will continue their study of mathematics, as well as those who are taking college algebra and trigonometry as their final mathematics course. Emphasis is placed on exploring mathematical concepts by using real data, current applications and optional technology.
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Breite: 262 mm
Dicke: 35 mm
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978-0-321-05755-6 (9780321057556)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College.
Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.
John Hornsby When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics, education, or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and ten years of writing mathematics textbooks, both of his goals have been realized. His love for teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum.
John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.
1. Algebraic Expressions.
Real Numbers and Their Properties.
Order and Absolute Value.
Polynomials; The Binomial Theorem.
Factoring Polynomials.
Rational Expressions.
Rational Exponents.
Radical Expressions.
2. Equations and Inequalities.
Linear Equations.
Linear Applications and Modeling.
Complex Numbers.
Quadratic Equations.
Quadratic Applications and Modeling.
Other Types of Equations.
Inequalities.
Absolute Value Equations and Inequalities.
3. Relations, Functions, and Graphs.
Relations and the Rectangular Coordinate System; Circles.
Functions.
Linear Functions.
Equations of Lines; Curve Fitting.
Graphs of Relations and Functions.
General Graphing Techniques.
Operations and Composition.
4. Polynomial and Rational Functions.
Quadratic Functions; Curve Fitting.
Synthetic Division.
Zeros of Polynomial Functions.
Polynomials Functions: Graphs, Applications, and Models.
Rational Functions: Graphs, Applications, and Models.
Variation.
5. Exponential and Logarithmic Functions.
Inverse Functions.
Exponential Functions.
Logarithmic Functions.
Evaluating Logarithms and the Change-of-Base Theorem.
Exponential and Logarithmic Equations.
Applications and Models of Exponential Growth and Decay.
6. Trigonometric Functions.
Angles.
Trigonometric Functions and Fundamental Identities.
Finding Trigonometric Function Values.
Solving Right Triangles.
Radian Measure.
Circular Functions and Their Applications.
Graphs of the Sine and Cosine Functions.
Graphs of the Other Circular Functions.
7. Trigonometric Identities and Equations.
Fundamental Identities.
Verifying Trigonometric Identities.
Sum and Difference Identities.
Double-Angle Identities and Half-Angle Identities.
Inverse Trigonometric Functions.
Trigonometric Equations.
Equations with Inverse Trigonometric Functions.
8. Applications of Trigonometry.
Oblique Triangles and the Law of Sines.
The Law of Cosines.
Vectors and Their Applications.
Products and Quotients of Complex Numbers.
Powers and Roots of Complex Numbers.
Polar Equations.
Parametric Equations.
9. Systems of Equations and Inequalities.
Linear Systems of Equations.
Matrix Solution of Linear Systems.
Determinant Solution of Linear Systems.
Partial Fractions.
Nonlinear Systems.
Systems of Inequalities and Linear Programming.
Properties of Matrices.
Matrix Inverses.
10. Analytic Geometry.
Parabolas.
Ellipses.
Hyperbolas.
Summary of the Conic Sections.
11. Further Topics in Algebra.
Sequences and Series.
Arithmetic Sequences and Series.
Geometric Sequences and Series.
The Binomial Theorem Revisited.
Mathematical Induction.
Counting Theory.
Basics of Probability.
