Algebra for College Students

by D. Franklin Wright

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Algebra for College Students textbook and software

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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.

Textbook

Algebra for College Students, by D. Franklin Wright

ISBN

Product 13 Digit ISBN
Courseware + eBook* 978-1-941552-87-2
Courseware + eBook* + Textbook 978-1-941552-13-1
* Included eBook can only be accessed online through the courseware.

Table of Contents

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