Overview

Dive into a comprehensive video series on intermediate algebra, covering essential topics from factoring polynomials to exploring conic sections. Master algebraic skills through in-depth lectures on solving equations, working with rational expressions, graphing functions, tackling inequalities and absolute value equations, simplifying radicals, manipulating quadratic equations, and understanding exponential and logarithmic functions. Enhance problem-solving abilities with practical applications and word problems throughout the course. Progress through carefully structured lessons, building a strong foundation in algebraic concepts over approximately 55 hours of instructional content.

Syllabus

Intermediate Algebra Lecture 6.1: Factoring the Greatest Common Factor (GCF).
Intermediate Algebra Lecture 6.2: Factoring Polynomials (Trinomials) With a = 1.
Intermediate Algebra Lecture 6.4: Factoring Polynomials (Trinomials) in General.
Intermediate Algebra Lecture 6.5: Factoring Binomials (Difference of Squares/Cubes).
Intermediate Algebra Lecture 6.6: Solving Equations by Factoring.
Intermediate Algebra Lecture 6.7: Using Factoring to Solve Word/Application Problems.
Intermediate Algebra Lecture C.1: A BRIEF Review of Solving Equations and Factoring.
Intermediate Algebra Lecture C.3: A BRIEF Review of Graphing.
Intermediate Algebra Lecture C.4: A BRIEF Review of Polynomial Mathematics.
Intermediate Algebra Lecture 7.1: Defining and Simplifying Rational Expressions.
Intermediate Algebra Lecture 7.2: How to Multiply and Divide Rational Expressions.
Intermediate Algebra Lecture 7.3: Finding LCD and Equivalent Rational Expressions.
Intermediate Algebra Lecture 7.4: Adding and Subtracting Rational Expressions.
Intermediate Algebra Lecture 7.5: Solving Rational Equations (Equations with Rational Expressions).
Intermediate Algebra Lecture 7.6: Using Proportions and Rational Methods in Problem Solving.
Intermediate Algebra Lecture 7.7: Introducing and Simplifying Complex Fractions.
Intermediate Algebra Lecture 8.1: Graphing Lines. Equations of Parallel and Perpendicular Lines.
Intermediate Algebra Lecture 8.2: An Introduction to Non-Linear Functions.
Intermediate Algebra Lecture 8.3: Study of Piecewise Functions and Basic Translations of Graphs.
Intermediate Algebra Lecture 8.4: An Introduction to Direct and Inverse Variation.
Intermediate Algebra Lecture 9.1: Compound Inequalities (Inequalities with "And" and "Or").
Intermediate Algebra Lecture 9.2: Solving Absolute Value Equations.
Intermediate Algebra Lecture 9.3: Solving Absolute Value Inequalities.
Intermediate Algebra Lecture 9.4: How to Graph Systems of Linear Inequalities.
Intermediate Algebra Lecture 10.1: An Introduction to Radicals (Roots) and Radical Functions.
Intermediate Algebra Lecture 10.2: Rational Exponents; From Radicals (Roots) to Rational Exponents.
Intermediate Algebra Lecture 10.3: Simplifying Radical (Roots) Expressions.
Intermediate Algebra Lecture 10.4: Adding, Subtracting, and Multiplying Radicals (Roots).
Intermediate Algebra Lecture 10.5: Rationalization of Radical Expressions (Roots).
Intermediate Algebra Lecture 10.6: Solving Radical (Roots) Equations and Pythagorean Theorem.
Intermediate Algebra Lecture 10.7: An Introduction to Operations with Complex Numbers.
Intermediate Algebra Lecture 11.1: Solving Quadratic Equations By Completing the Square.
Intermediate Algebra Lecture 11.2: Solving Quadratic Equations with the Quadratic Formula.
Intermediate Algebra Lecture 11.3: Solving Equations Using Various Quadratic Methods.
Intermediate Algebra Lecture 11.4: Solving Non-Linear and Quadratic Inequalities..
Intermediate Algebra Lecture 11.5: Sketching Graphs of Quadratic Functions.
Intermediate Algebra Lecture 11.6: Graphing of Quadratics. Vertex, X - Intercept, Y - Intercept.
Intermediate Algebra Lecture 12.1: Operations and Composition of Functions..
Intermediate Algebra Lecture 12.2: An Introduction to Inverse Functions.
Intermediate Algebra Lecture 12.3: Graphing and Solving Exponential Functions.
Intermediate Algebra Lecture 12.4: Introduction to Graphing and Solving Logarithmic Functions.
Intermediate Algebra Lecture 12.5: Exploring the Properties of Logarithms..
Intermediate Algebra Lecture 12.6: Studying Common and Natural Logarithms..
Intermediate Algebra Lecture 12.7: Solving Exponential and Logarithmic Equations..
Intermediate Algebra Lecture 13.1: A Study of Conic Sections -- Parabola and Circle..
Intermediate Algebra Lecture 13.2: A Study of Conic Sections -- Ellipse and Hyperbola..