Math 20:
Intermediate Algebra
Lecture Videos

to accompany Intermediate Algebra, 3rd ed, by Sullivan, Struve


Chapter R. Real Numbers and Algebraic Expressions
R.2 Sets and Classification of Numbers
R.3.2 Compute the Absolute Value of a Real Number
R.3.2 Determine the Additive Inverse of a Number
R.3.3 Multiplicative Inverse
R.3.3 Write a Fraction in Lowest Terms
R.3 Operations on Signed Numbers; Properties of Real Numbers
R.4 Order of Operations
R.5 Algebraic Expressions

Chapter 1. Linear Equations and Inequalities
1.1 Linear Equations in One Variable
1.2 An Introduction to Problem Solving
1.3 Using Formulas to Solve Problems
1.4 Linear Inequalities in One Variable
1.5 Rectangular Coordinates and Graphs of Equations
1.6 Author in Action Videos - Linear Equations in Two Variables
1.7 Parallel and Perpendicular Lines
1.8 Linear Inequalities in Two Variables

Chapter 2. Relations, Functions, and More Inequalities
2.1 Relations
2.2 An Introduction to Functions
2.3 Functions and Their Graphs
2.4 Linear Functions and Models
2.5 Compound Inequalities
2.6 Absolute Value Equations and Inequalities

Chapter 3. Systems of Linear Equations and Inequalities
3.1 Systems of Linear Equations in Two Variables
3.2 Problem Solving: Systems of Two Linear Equations Containing Two Unknowns
3.3 Systems of Linear Equations in Three Variables
3.4 Using Matrices to Solve Systems
3.5 Determinants and Cramer's Rule
3.6 Systems of Linear Inequalities

Chapter 4. Polynomials and Polynomial Functions
Getting Ready for Chapter 4: Laws of Exponents and Scientific Notation
4.1 Adding and Subtracting Polynomials
4.2 Multiplying Polynomials
4.3 Dividing Polynomials; Synthetic Division
4.4 Greatest Common Factor; Factoring by Grouping
4.5 Factoring Trinomials
4.6 Factoring Special Products
4.7 Factoring: A General Strategy
4.8 Polynomial Equations

Chapter 5. Rational Expressions and Rational Functions
Getting Ready for Chapter 5: A Review of Operations on Rational Numbers
5.1 Multiplying and Dividing Rational Expressions
5.2 Adding and Subtracting Rational Expressions
5.3 Complex Rational Expressions
5.4 Rational Equations
5.5 Rational Inequalities
5.6 Models Involving Rational Expressions
5.7 Variation

Chapter 6. Radicals and Rational Exponents
Getting Ready for Chapter 6: Square Roots
6.1 nth Roots and Rational Exponents
6.2 Simplify Expressions Using the Law of Exponents
6.3 Simplify Radical Expressions Using Properties of Radicals
6.4 Adding, Subtracting, and Multiplying Radical Expressions
6.5 Rationalizing Radical Expressions
6.6 Functions Involving Radicals
6.7 Radical Equations and Their Applications
6.8 The Complex Number System

Chapter 7. Quadratic Equations and Functions
7.2 Solving Quadratic Equations by the Quadratic Formula">
7.3 Solving Equations Quadratic in Form
7.4 Graphing Quadratic Functions Using Transformations
7.5 Graphing Quadratic Functions Using Properties
7.6 Polynomial Inequalities

Chapter 8. Exponential and Logarithmic Functions
8.1 Composite Functions and Inverse Functions
8.2 Exponential Functions
8.3 Logarithmic Functions
8.4 Properties of Logarithms
8.5 Exponential and Logarithmic Equations

Chapter 9. Conics
9.1 Distance and Midpoint Formulas
9.2 Circles
9.3 Parabolas
9.4 Ellipses
9.5 Hyperbolas
9.6 Systems of Nonlinear Equations

Chapter 10. Sequences, Series, and the Binomial Theorem
10.1 Sequences">
10.2 Arithmetic Sequences
10.3 Geometric Sequences and Series
10.4 The Binomial Theorem