Online course Mathematical Foundations: Numbers and terminology

What will I learn?

The online number theory course (in its free or paid mode), Mathematical Foundations: Numbers and Terminology from the Universitat Politècnica de València, offers an introduction to numbers from a theoretical and practical point of view. You will learn the basic concepts of number theory and the main numerical systems such as natural, integer, rational, real, irrational, and complex numbers. In addition, you will have the opportunity to perform exercises and solve 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 number theory without the need for prior knowledge of advanced mathematics. Whether you are a student preparing for higher-level mathematics courses or someone interested in improving your mathematical skills, this course offers valuable and practical knowledge to help you stand out in this field. The course has a rigorous and didactic approach, which combines clear and detailed explanations with examples and activities that will help you consolidate your learning. This course is available on the edX platform, one of the most prestigious in the world in online education, founded by MIT and Harvard University. It can be taken entirely for free or by paying a small fee.

Contents of the online number theory course Mathematical Foundations: Numbers and Terminology

These are the contents of the course:

1. Natural, integer, and rational numbers.You will discover how these numerical sets are constructed, how they operate with each other, and how they are represented in different numbering systems, such as binary, octal, or hexadecimal.
2. Real and irrational numbers.You will explore the structure and properties of real numbers, how they are distinguished from irrational numbers, and how they can be approximated using fractions or decimals. You will also learn how to locate them on the real line and order them according to their absolute value or modulus.
3. Complex numbers.You will be introduced to the world of complex numbers, which extend the concept of real numbers and allow for the solution of equations that would otherwise be impossible. You will learn how to define them, represent them in the complex plane, and operate with them in binomial or polar form.

Free or paid number theory course

The course has two modes: free and paid. The free number theory course mode allows you to access all the course content, including videos, readings, exercises, and discussion forums.The paid mode also offers you the possibility of obtaining a verified certificate from edX, which accredits your participation and completion 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 numbers. In addition, by paying for the course, you will be contributing to the Universitat Politècnica de València and edX’s ability to continue offering quality and accessible courses for everyone. If you want to know more about the cost and benefits of this mode, I invite you to visit the course page on edX, where you will find all the information you need. In conclusion, the online number theory course, Mathematical Foundations: Numbers and Terminology, is a course that offers you an excellent opportunity to learn the fundamentals and applications of number theory, one of the most relevant and versatile disciplines in 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.