Free online courseIntermediate Algebra

Course Description

The Intermediate Algebra course presents an in-depth exploration of algebraic principles, meticulously designed to transition learners from basic algebra to more advanced concepts. With a total duration of 54 hours and 38 minutes, this course provides a comprehensive journey through intermediate algebra, ensuring learners build a strong foundation for future mathematical studies.

Earned an exceptional average rating of 4.82 out of 5 stars, this course has garnered widespread acclaim from learners who have appreciated the clear instruction and thorough coverage of topics. Positioned within the Basic Studies category, and specifically within the Algebra subcategory, this course caters to those aiming to deepen their understanding of algebraic techniques and applications.

The course begins with fundamental topics such as factoring the greatest common factor (GCF) and advances through the intricacies of polynomials, including specific techniques for factoring different forms of trinomials and binomials. Students learn to solve equations by factoring, extending this skill to tackle word problems and application scenarios.

A brief review segment consolidates previous algebraic principles, ensuring that students are well-prepared for the more advanced topics ahead. This includes a refresher on solving equations, graphing, and polynomial mathematics. The course then delves into rational expressions, guiding learners through simplification, multiplication, division, and manipulation of these expressions, as well as solving rational equations and complex fractions.

The graphing section introduces linear equations and their graphical representations, highlighting the relationships of parallel and perpendicular lines. Students explore non-linear functions, piecewise functions, and basic translations of graphs. Applications of direct and inverse variation further enhance their graphical understanding.

Addressing inequalities, the course covers compound inequalities, absolute value equations, and inequalities, alongside graphing systems of linear inequalities. A thorough introduction to radicals and radical functions sets the stage for working with rational exponents, simplifying radical expressions, and solving related equations, including applications involving the Pythagorean theorem and complex numbers.

The quadratic equations section provides tools for solving by completing the square and using the quadratic formula, along with employing various quadratic methods. Students also learn to solve non-linear and quadratic inequalities, and sketch graphs of quadratic functions.

Further, the course explores the operations and compositions of functions, delving into inverse functions and the processes of graphing and solving both exponential and logarithmic functions. Essential properties of logarithms and equations expand the students' algebraic toolkit.

Finally, a detailed study of conic sections – including parabolas, circles, ellipses, and hyperbolas – concludes the curriculum, equipping learners with the skills to analyze and graph these important geometric figures.

This Intermediate Algebra course stands as a vital resource for those seeking to advance their algebraic knowledge and problem-solving abilities, providing a well-structured and engaging learning experience.