 # 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

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
3. 6.2 Rational Exponents
6. 6.3c Rationalizing Denominators
9. 6.6 Complex Numbers
10. 6.7 Multiplication and Division with Complex Numbers
1. 7.1a QE: The Square Root Method
2. 7.1b QE: Completing the Square
3. 7.2 QE: The Quadratic Formula
5. 7.4 Equations in Quadratic Form
6. 7.5 Graphing Parabolas
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