### What will I learn?

The online basic mathematics course (in its free or paid mode) Math Essentials offers you a review of the concepts and techniques of arithmetic, algebra and calculus, from a theoretical and practical point of view. You will review the principles that govern mathematics, the different numerical sets, the elementary operations between them, the properties of real numbers, the expressions that contain exponents and radicals, the equations, the inequalities, the functions, the derivatives and the integrals. In addition, you will have the opportunity to do exercises and problems that will allow you to apply what you have reviewed and develop your mathematical reasoning.

The course is designed for people who want to review mathematics to succeed in the study of disciplines that require them. It is recommended to have a basic level of mathematics, high school level or equivalent. No prior knowledge of advanced mathematics is required. The course has a rigorous and didactic approach, which combines clear and simple explanations with examples and activities that will help you consolidate your learning. The course also offers you additional resources, such as readings, videos and links of interest, that you can consult to expand your knowledge and deepen the topics that interest you the most.

This course is available on the edX platform, one of the world’s most prestigious online education platforms, founded by MIT and Harvard University. It can be taken completely free of charge or for a small fee.

### Contents of the online basic mathematics course, Math Essentials

These are the contents of the course, which will allow you to review the concepts and methods essential to arithmetic, algebra and calculus:

**Arithmetic**: the concept of number and the different numerical sets are reviewed, including a review of the Fundamental Theorem of Arithmetic, the Greatest Common Divisor (GCD) and the Least Common Multiple (LCM).

**Algebra**: the concept of algebraic expression and its terminology are reviewed, as well as the elementary operations between them, without neglecting the resolution of application problems. The concept of equation and inequality is also reviewed, as well as the resolution techniques and the graphical representation of the solutions.

**Functions**: the concept of function and its terminology are reviewed, as well as the properties and operations between functions, without neglecting the resolution of application problems. The concept of linear, quadratic, exponential and logarithmic function is also reviewed, as well as its characteristics and graphs.

**Differential calculus**: the concept of limit and its terminology are reviewed, as well as the properties and operations that involve the limits, without neglecting the resolution of application problems. The concept of derivative and its terminology are also reviewed, as well as the rules and techniques of derivation, without neglecting the resolution of application problems.

**Integral calculus**: the concept of integral and its terminology are reviewed, as well as the properties and operations that involve the integrals, without neglecting the resolution of application problems. The concept of definite and indefinite integral is also reviewed, as well as the Fundamental Theorem of Calculus and the integration techniques, without neglecting the resolution of application problems.

### Free or paid basic mathematics course

The course has two modalities: free and paid. The free basic mathematics course allows you to access all the content of the course, including the videos, the readings, the exercises and the discussion forums.

The paid modality also offers you the possibility of obtaining a verified certificate from edX, which accredits your participation and approval of the course. This certificate can be of great value for your curriculum vitae, as it demonstrates your interest and competence in the use of mathematics. In addition, by paying for the course, you will be contributing to the Imperial College London and edX being able to continue offering 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 basic mathematics course (in its free or paid mode), Math Essentials course is a course that offers you an excellent opportunity to review the fundamentals and applications of arithmetic, algebra and calculus, which are the basis of university mathematics. If you are interested in this topic, do not hesitate to register and start enjoying this course. I am sure you will not regret it.