Online course Mathematical Foundations: Algebra

What will I learn?

The online algebra course (in its free or paid mode), Mathematical Foundations: Algebra, offers an introduction to algebra from both a theoretical and practical perspective. You will learn the basic concepts of algebra, such as algebraic expressions, equations, inequalities, systems of equations, matrices, determinants, and polynomials. In addition, you will have the opportunity to complete exercises and problems that will allow you to apply what you have learned and develop your mathematical reasoning. The course is designed for people who want to learn how to use algebra without the need for prior knowledge of advanced mathematics. The course has a rigorous and didactic approach that combines clear and detailed explanations with examples and activities to help you consolidate your learning. The course also offers additional resources, such as readings, videos, and links of interest, which you can consult to expand your knowledge and delve deeper into the topics that interest you most. This course is available on the edX platform, one of the most prestigious in the world for online education, founded by MIT and Harvard University. It can be taken completely for free or by paying a small fee.

Contents of the online algebra course, Mathematical Foundations: Algebra

These are the contents of the course, which will allow you to learn the basic concepts and methods of algebra:

1. Algebraic expressions: the concept of an algebraic expression is defined, algebraic expressions are classified according to their characteristics, operations are performed with algebraic expressions, and algebraic expressions are simplified.
2. Equations and inequalities: the concept of equations and inequalities is defined, equations and inequalities are classified according to their degree, first and second-degree equations and inequalities are solved, and the solutions to the equations and inequalities are represented graphically.
3. Systems of equations: the concept of a system of equations is defined, systems of equations are classified according to their type, systems of equations are solved using the substitution method, the equalization method, and the reduction method, and the conditions for the existence and uniqueness of solutions to systems of equations are studied.
4. Matrices and determinants: the concept of a matrix is introduced, matrices are classified according to their characteristics, operations are performed with matrices, determinants of square matrices are calculated, and the relationship between matrices, determinants, and systems of equations is explored.
5. Polynomials: the concept of a polynomial is defined, polynomials are classified according to their degree, operations are performed with polynomials, polynomials are factored, and polynomial equations are solved.

Free or paid algebra course

The course has two modalities: free and paid. The free algebra course modality allows you to access all course content, including videos, readings, exercises, and discussion forums. The paid modality also offers you the possibility of obtaining a verified edX certificate, which accredits your participation and completion of the course. This certificate can be of great value for your resume, as it demonstrates your interest and competence in the use of algebra. In addition, by paying for the course, you will be contributing to ensuring that the Universitat Politècnica de València and edX can continue to offer quality and accessible courses for everyone. If you want to know more about the cost and benefits of this modality, I invite you to visit the course page on edX, where you will find all the information you need. In conclusion, the online algebra course Mathematical Foundations: Algebra is a course that provides you with an excellent opportunity to learn the foundations and applications of algebra, one of the most relevant and versatile disciplines in mathematics. If you are interested in this topic, do not hesitate to sign up and start enjoying this course. I am sure you will not regret it.