College Algebra and Trigonometry – Margaret L. Lial – 6th Edition


The College Algebra series, by Lial, Hornsby, Schneider, and Daniels, combines the experience of master teachers to help students develop both the conceptual understanding and the analytical skills necessary for success in mathematics. With this latest edition, the authors respond to the challenges of new student expectations and new classroom models.

A systematic approach is used to present each topic, and is designed to actively engage students in the learning process. As a result, students develop both the conceptual understanding and the analytical skills necessary for success. The concepts Preview Exercises now begin each homework section to ensure students’ understanding of vocabulary and basic concepts.

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  • R. Review of Basic Concepts
    R-1 Sets
    R-2 Real Numbers and Their Properties
    R-3 Polynomials
    R-4 Factoring Polynomials
    R-5 Rational Expressions
    R-6 Rational Exponents
    R-7 Radical Expressions

    1. Equations and Inequalities
    1-1 Linear Equations
    1-2 Applications and Modeling with Linear Equations
    1-3 Complex Numbers
    1-4 Quadratic Equations
    1-5 Applications and Modeling with Quadratic Equations
    1-6 Other Types of Equations and Applications
    1-7 Inequalities
    1-8 Absolute Value Equations and Inequalities

    2. Graphs and Functions
    2-1 Rectangular Coordinates and Graphs
    2-2 Circles
    2-3 Functions
    2-4 Linear Functions
    2-5 Equations of Lines and Linear Models
    2-6 Graphs of Basic Functions
    2-7 Graphing Techniques
    2-8 Function Operations and Composition

    3. Polynomial and Rational Functions
    3-1 Quadratic Functions and Models
    3-2 Synthetic Division
    3-3 Zeros of Polynomial Functions
    3-4 Polynomial Functions: Graphs, Applications, and Models
    3-5 Rational Functions: Graphs, Applications, and Models
    3-6 Variation

    4. Inverse, Exponential, and Logarithmic Functions
    4-1 Inverse Functions
    4-2 Exponential Functions
    4-3 Logarithmic Functions
    4-4 Evaluating Logarithms and the Change-of-Base Theorem
    4-5 Exponential and Logarithmic Equations
    4-6 Applications of Models of Exponential Growth and Decay

    5. Trigonometric Functions
    5-1 Angles
    5-2 Trigonometric Functions
    5-3 Trigonometric Function Values and Angle Measures
    5-4 Solutions and Applications of Right Triangles

    6. The Circular Functions and Their Graphs
    6-1 Radian Measure
    6-2 The Unit Circle and Circular Functions
    6-3 Graphs of the Sine and Cosine Functions
    6-4 Translations of the Graphs of the Sine and Cosine Functions
    6-5 Graphs of the Tangent and Cotangent Functions
    6-6 Graphs of the Secant and Cosecant Functions
    6-7 Harmonic Motion

    7. Trigonometric Identities and Equations
    7-1 Fundamental Identities
    7-2 Verifying Trigonometric Identities
    7-3 Sum and Difference Identities
    7-4 Double-Angle and Half-Angle Identities
    7-5 Inverse Circular Functions
    7-6 Trigonometric Equations
    7-7 Equations Involving Inverse Trigonometric Functions

    8. Applications of Trigonometry
    8-1 The Law of Sines
    8-2 The Law of Cosines
    8-3 Geometrically Defined Vectors and Applications
    8-4 Algebraically Defined Vectors and the Dot Product
    8-5 Trigonometric (Polar) Form of Complex Numbers, Products and Quotients
    8-6 De Moivre’s Theorem, Powers and Roots of Complex Numbers
    8-7 Polar Equations and Graphs
    8-8 Parametric Equations, Graphs, and Applications

    9. Systems and Matrices
    9-1 Systems of Linear Equations
    9-2 Matrix Solution of Linear Systems
    9-3 Determinant Solution of Linear Systems
    9-4 Partial Fractions
    9-5 Nonlinear Systems of Equations
    9-6 Systems of Inequalities and Linear Programming
    9-7 Properties of Matrices
    9-8 Matrix Inverses

    10. Analytic Geometry
    10-1 Parabolas
    10-2 Ellipses
    10-3 Hyperbolas
    10-4 Summary of the Conic Sections

    11. Further Topics in Algebra
    11-1 Sequences and Series
    11-2 Arithmetic Sequences and Series
    11-3 Geometric Sequences and Series
    11-4 The Binomial Theorem
    11-5 Mathematical Induction
    11-6 Counting Theory
    11-7 Basics of Probability

  • Citation
    • Full Title: College Algebra and Trigonometry
    • Author/s:
    • ISBN-10: 0134112520
    • ISBN-13: 9780134112527
    • Edition: 6th Edition
    • Publication date: 2017
    • Topic: Math
    • Subtopic: Algebra | Trigonometry
    • File Type: eBook
    • Idioma: English

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