John Hornsby, Margaret Lial, Margaret L. Lial, Gary Rockswold, Gary K. Rockswold - Student's Solutions Manual for a Graphical Approach to Precalculus with Limits

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John Hornsby, Margaret Lial, Margaret L. Lial, Gary Rockswold, Gary K. Rockswold

Student's Solutions Manual for a Graphical Approach to Precalculus with Limits

English · Paperback / Softback

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Description

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List of contents

  1. Linear Functions, Equations, and Inequalities
    • 1.1 Real Numbers and the Rectangular Coordinate System
    • 1.2 Introduction to Relations and Functions
      • Reviewing Basic Concepts (Sections 1.11.2)
    • 1.3 Linear Functions
    • 1.4 Equations of Lines and Linear Models
      • Reviewing Basic Concepts (Sections 1.31.4)
    • 1.5 Linear Equations and Inequalities
    • Unifying Linear Functions
    • 1.6 Applications of Linear Functions
      • Reviewing Basic Concepts (Sections 1.51.6)
    • Summary
    • Review Exercises
    • Test
  2. Analysis of Graphs of Functions
    • 2.1 Graphs of Basic Functions and Relations; Symmetry
    • 2.2 Vertical and Horizontal Shifts of Graphs
    • 2.3 Stretching, Shrinking, and Reflecting Graphs
      • Reviewing Basic Concepts (Sections 2.12.3)
    • 2.4 Absolute Value Functions
      • Unifying Absolute Value Functions
    • 2.5 Piecewise-Defined Functions
    • 2.6 Operations and Composition
      • Reviewing Basic Concepts (Sections 2.42.6)
    • Summary
    • Review Exercises
    • Test
  3. Quadratic Functions
    • 3.1 Complex Numbers
    • 3.2 Quadratic Functions and Graphs
      • Reviewing Basic Concepts (Sections 3.13.2)
    • 3.3 Quadratic Equations and Inequalities
      • Unifying Quadratic Functions
    • 3.4 Applications of Quadratic Functions and Models
      • Reviewing Basic Concepts (Sections 3.33.4)
    • Summary
    • Review Exercises
    • Test
  4. Polynomial Functions of Higher Degree
    • 4.1 Graphs of Polynomial Functions
    • 4.2 Topics in the Theory of Polynomial Functions (I)
      • Reviewing Basic Concepts (Sections 4.14.2)
    • 4.3 Topics in the Theory of Polynomial Functions (II)
    • 4.4 Polynomial Equations, Inequalities, Applications, and Models
      • Reviewing Basic Concepts (Sections 4.34.4)
      • Unifying Polynomial Functions
    • Summary
    • Review Exercises
    • Test
  5. Rational, Power, and Root Functions
    • 5.1 Rational Functions and Graphs (I)
    • 5.2 Rational Functions and Graphs (II)
    • 5.3 Rational Equations, Inequalities, Models, and Applications
      • Reviewing Basic Concepts (Sections 5.15.3)
    • 5.4 Functions Defined by Powers and Roots
    • 5.5 Equations, Inequalities, and Applications Involving Root Functions
      • Reviewing Basic Concepts (Sections 5.45.5)
      • Unifying Root Functions
    • Summary
    • Review Exercises
    • Test
  6. Inverse, Exponential, and Logarithmic Functions
    • 6.1 Inverse Functions
    • 6.2 Exponential Functions
      • Unifying Exponential Functions
    • 6.3 Logarithms and Their Properties
      • Reviewing Basic Concepts (Sections 6.1¿6.3)
    • 6.4 Logarithmic Functions
    • 6.5 Exponential and Logarithmic Equations and Inequalities
      • Unifying Logarithmic Functions
    • 6.6 Further Applications and Modeling with Exponential and Logarithmic Functions
      • Reviewing Basic Concepts (Sections 6.46.6)
      • Summary Exercises on Functions: Domains, Defining Equations, and Composition
    • Summary
    • Review Exercises
    • Test
  7. Systems and Matrices
    • 7.1 Systems of Equations
    • 7.2 Solution of Linear Systems in Three Variables
    • 7.3 Solution of Linear Systems by Row Transformations
      • Reviewing Basic Concepts (Sections 7.17.3)
    • 7.4 Matrix Properties and Operations
    • 7.5 Determinants and Cramers Rule
    • 7.6 Solution of Linear Systems by Matrix Inverses
      • Reviewing Basic Concepts (Sections 7.47.6)
    • 7.7 Systems of Inequalities and Linear Programming
    • 7.8 Partial Fractions
      • Reviewing Basic Concepts (Sections 7.77.8)
    • Summary
    • Review Exercises
    • Test
  8. Conic Sections, Nonlinear Systems, and Parametric Equations
    • 8.1 Circles Revisited and Parabolas
    • 8.2 Ellipses and Hyperbolas
      • Reviewing Basic Concepts (Sections 8.18.2)
    • 8.3 The Conic Sections and Nonlinear Systems
    • 8.4 Introduction to Parametric Equations
      • Reviewing Basic Concepts (Sections 8.38.4)
    • Summary
    • Review Exercises
    • Test
  9. The Unit Circle and the Functions of Trigonometry
    • 9.1 Angles, Arcs, and Their Measures
    • 9.2 The Unit Circle and Its Functions
    • 9.3 Graphs of the Sine and Cosine Functions
    • 9.4 Graphs of the Other Circular Functions
    • 9.5 Functions of Angles and Fundamental Angles
    • 9.6 Evaluating Trigonometric Functions
    • 9.7 Applications of Right Triangles
    • 9.8 Harmonic Motion
    • Summary
    • Review Exercises
    • Test
  10. Trigonometric Identities and Equations
    • 10.1 Trigonometric Identities
    • 10.2 Sum and Difference Identities
    • 10.3 Further Identities
    • 10.4 The Inverse Circular Functions
    • 10.5 Trigonometric Equations and Inequalities (I)
    • 10.6 Trigonometric Equations and Inequalities (II)
      • Unifying Trigonometric Functions
    • Summary
    • Review Exercises
    • Test
  11. Applications of Trigonometry and Vectors
    • 11.1 The Law of Sines
    • 11.2 The Law of Cosines and Area Formulas
    • 11.3 Vectors and Their Applications
    • 11.4 Trigonometric (Polar) Form of Complex Numbers
    • 11.5 Powers and Roots of Complex Numbers
    • 11.6 Polar Equations and Graphs
    • 11.7 More Parametric Equations
    • Summary
    • Review Exercises
    • Test
  12. Further Topics in Algebra
    • 12.1 Sequences and Series
    • 12.2 Arithmetic Sequences and Series
    • 12.3 Geometric Sequences and Series
      • Reviewing Basic Concepts (Sections 9.19.3)
    • 12.4 Counting Theory
    • 12.5 The Binomial Theorem
      • Reviewing Basic Concepts (Sections 9.49.5)
    • 12.6 Mathematical Induction
    • 12.7 Probability
      • Reviewing Basic Concepts (Sections 9.69.7)
    • Summary
    • Review Exercises
    • Test
  13. Limits, Derivatives, and Definite Integrals
    • 13.1 An Introduction to Limits
    • 13.2 Techniques for Calculating Limits
    • 13.3 One-Sided Limits and Limits Involving Infinity
    • 13.4 Tangent Lines and Derivatives
    • 13.5 Area and the Definite Integral
  14. Review: Basic Algebraic Concepts
    • R.1 Review of Sets
    • R.2 Review of Exponents and Polynomials
    • R.3 Review of Factoring
    • R.4 Review of Rational Expressions
    • R.5 Review of Negative and Rational Exponents
    • R.6 Review of Radicals
    • Test

Appendices

  • A. Geometry Formulas
  • B. Vectors in Space
  • C. Polar Form of Conic Sections
  • D. Rotation of Axes
Instructors Answers
Answers to Selected Exercises*
Index
  • *In the AIE, Instructors Answers replaces Answers to Selected Exercises.

Product details

Authors John Hornsby, Margaret Lial, Margaret L. Lial, Gary Rockswold, Gary K. Rockswold
Publisher Pearson
 
Languages English
Product format Paperback / Softback
Released 19.02.2018
 
EAN 9780134698168
ISBN 978-0-13-469816-8
No. of pages 696
Dimensions 213 mm x 274 mm x 33 mm
Weight 1225 g
Subject Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous

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