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Algebra for College Students

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Algebra for College Students

by D. Franklin Wright

While the first chapter reviews topics covered in a beginning algebra course, Algebra for College Students soon jumps into more advanced material with a faster pace while still maintaining an in-depth look at key concepts. Content includes topics such as determinants and Cramer's rule, exponential and logarithmic functions, conic sections, sequences, series, and the binomial theorem, among others.

Formats: Software, Textbook, eBook

Product ISBN
Software + eBook 978-1-941552-87-2
Software + eBook + Textbook 978-1-941552-13-1

Table of Contents

  1. Chapter 1: Real Numbers and Solving Equations
    1. 1.1 Prime Numbers, Exponents, and LCM
    2. 1.2a Name that Real Number
    3. 1.2b Properties of Real Numbers
    4. 1.3a Introduction to Absolute Values
    5. 1.3b Addition with Real Numbers
    6. 1.3c Subtraction with Real Numbers
    7. 1.3d Multiplication and Division with Real Numbers
    8. 1.3e Order of Expressions
    9. 1.4a Simplifying Expressions
    10. 1.4b Solving Linear Equations
    11. 1.4c Solving Absolute Value Equations
    12. 1.5a Evaluating Formulas
    13. 1.5b Solving Formulas
    14. 1.6 Applications
    15. 1.7a Solving Linear Inequalities
    16. 1.7b Solving Absolute Value Inequalities
  2. Chapter 2: Linear Equations and Functions
    1. 2.1a Introduction to the Cartesian Coordinate System
    2. 2.1b Graphing Linear Equations by Plotting Points
    3. 2.2 Graphing Linear Equations in Slope-Intercept Form
    4. 2.3a Graphing Linear Equations in Point-Slope Form
    5. 2.3b Finding the Equation of a Line
    6. 2.4 Introduction to Functions and Function Notation
    7. 2.5 Graphing Linear Inequalities
  3. Chapter 3: Systems of Linear Equations
    1. 3.1a Solving Systems of Linear Equations by Graphing
    2. 3.1b Solving Systems of Linear Equations by Substitution
    3. 3.1c Solving Systems of Linear Equations by Addition
    4. 3.2 Applications: Systems of Equations
    5. 3.3 Solving Systems of Linear Equations with Three Variables
    6. 3.4 Matrices and Gaussian Elimination
    7. 3.5 Determinants
    8. 3.6 Determinants and Systems of Linear Equations: Cramer's Rule
    9. 3.7 Systems of Linear Inequalities
  4. Chapter 4: Exponents and Polynomials
    1. 4.1a Simplifying Integer Exponents I
    2. 4.1b Simplifying Integer Exponents II
    3. 4.1c Scientific Notation
    4. 4.2a Identifying Polynomials
    5. 4.2b Adding and Subtracting Polynomials
    6. 4.3a Multiplying Polynomials
    7. 4.3b The FOIL Method
    8. 4.4a Division by a Monomial
    9. 4.4b The Division Algorithm
    10. 4.5a GCF of a Polynomial
    11. 4.5b Factoring by Grouping
    12. 4.6a Factoring Trinomials by Trial and Error
    13. 4.6b Factoring Trinomials by the ac-Method
    14. 4.7a Special Factorizations - Squares
    15. 4.7b Special Factorizations - Cubes
    16. 4.8 Solving Equations by Factoring
    17. 4.9 Using a Graphing Calculator to Solve Equations
  5. Chapter 5: Rational Expressions and Rational Equations
    1. 5.1a Defining Rational Expressions
    2. 5.1b Multiplication and Division of Rational Expressions
    3. 5.2 Addition and Subtraction of Rational Expressions
    4. 5.3 Complex Fractions
    5. 5.4 Solving Equations Involving Rational Expressions
    6. 5.5 Applications Involving Rational Expressions
    7. 5.6 Applications: Variation
  6. Chapter 6: Roots, Radicals, and Complex Numbers
    1. 6.1a Evaluating Radicals
    2. 6.1b Simplifying Radicals
    3. 6.2 Rational Exponents
    4. 6.3a Addition and Subtraction with Radicals
    5. 6.3b Multiplication with Radicals
    6. 6.3c Rationalizing Denominators
    7. 6.4 Solving Radical Equations
    8. 6.5 Functions with Radicals
    9. 6.6 Complex Numbers
    10. 6.7 Multiplication and Division with Complex Numbers
  7. Chapter 7: Quadratic Equations and Quadratic Functions
    1. 7.1a QE: The Square Root Method
    2. 7.1b QE: Completing the Square
    3. 7.2 QE: The Quadratic Formula
    4. 7.3 Applications: Quadratic Equations
    5. 7.4 Equations in Quadratic Form
    6. 7.5 Graphing Parabolas
    7. 7.6a Solving Quadratic Inequalities
    8. 7.6b Solving Inequalities with Rational Exponents
  8. Chapter 8: Exponential and Logarithmic Functions
    1. 8.1 Algebra of Functions
    2. 8.2 Composition of Functions and Inverse Functions
    3. 8.3 Exponential Functions and the Number e
    4. 8.4 Logarithmic Functions
    5. 8.5 Properties of Logarithmic Functions
    6. 8.6 Common Logarithms and Natural Logarithms
    7. 8.7 Exponential and Logarithmic Equations
    8. 8.8 Applications: Exponential and Logarithmic Functions
  9. Chapter 9: Conic Sections
    1. 9.1 Translations
    2. 9.2 Parabolas as Conic Sections
    3. 9.3 Distance Formula and Circles
    4. 9.4 Ellipses and Hyperbolas
    5. 9.5 Nonlinear Systems of Equations
  10. Chapter 10: Sequences, Series and the Binomial Theorem
    1. 10.1 Sequences
    2. 10.2 Sigma Notation
    3. 10.3 Arithmetic Sequences
    4. 10.4 Geometric Sequences and Series
    5. 10.5 The Binomial Theorem
  11. Chapter A: Appendix
    1. A.1 Review of Fractions
    2. A.2 Synthetic Division
    3. A.3 Applications of Linear Equations
    4. A.4 Permutations
    5. A.5 Combinations