Advanced Algebraic Concepts and Applications in Mathematics

Gain a clear understanding of key concepts, techniques, and theorems through this advanced algebra course.

Free Course
This free online mathematics course covers advanced algebraic concepts and applications, including linear equations, inequalities, functions, exponential, sequences, series, probability, and trigonometry. Math often seems complicated, but the right course can make it simple. This free online course will teach you about advanced algebraic concepts and their applications in simple and easy to understand language and examples.
  • Duration

    3-4 Hours
  • Assessment

  • Certification

  • Publisher

    Math Planet





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This course is divided into 13 modules, and each module is divided into lessons with theories, examples, and video presentations for a clear study experience. Upon completion of this advanced linear algebra course, you will be able to simplify expressions and inequalities, and represent functions and linear equations on a graph. You will also be able to calculate equations with two or three variables, and will know how to operate with matrices and simplify polynomials and radical expressions.

In this course, you will also learn how to plot a quadratic function on a graph, solve conic sections, polynomial functions, rational expressions, and exponential and logarithmic functions. Solving geometric sequences and series, as well as the use of Binomial Theorem, are also part of the course outline. You will fully grasp the concepts of permutations, combinations, probabilities, and the trigonometric functions of angles, sines, cosines, and circular and inverse functions.

Learning algebra develops critical thinking skills, logic, patterns, and deductive and inductive reasoning. These are great skills not only for science and math but also for our daily activities. This advanced algebra course makes learning these topics simple and includes video explanations for effective and easy to follow learning. So, check out the course now, and gain a clearer understanding of algebra in no time at all, for free.


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Module 1: Equations and inequalities

Module 2: How to graph functions and linear equations

Module 3: How to solve system of linear equations

Module 4: Matrices

Module 5: Polynomials and radical expressions

Module 6: Quadratic functions and inequalities

Module 7: Conic Sections

Module 8: Polynomial functions

Module 9: Rational expressions

Module 10: Exponential and logarithmic functions

Module 11: Sequences and series

Module 12: Discrete mathematics and probability

Module 13: Trigonometry

Module 14: Advanced Algebra Assessment

Learning Outcomes

Upon completion of this course you will be able to solve equations, and simplify expressions and inequalities. You will know how to represent functions and linear equations on a graph. You will be able to calculate equations of two or three variables. You will learn how to operate with matrices and simplify polynomials and radical expressions. This course will demonstrate how to graph a quadratic function, solve conic sections, polynomial functions, rational expressions, exponential and logarithmic functions. You will understand how to solve geometric sequences and series. You will learn about the Binomial theorom. You will be more aware of permutations, combinations, probabilities and trigonometric functions such as angles, sines, cosines, circular functions and inverse functions.


All Alison courses are free to enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire an official Certificate, which is a great way to share your achievement with the world. Your Alison Certificate is:

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An indication of your commitment to continuously learn, upskill and achieve high results
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