What will I learn?
The introductory online mathematics course (available in free or paid mode), Mathematical Elements for Critical Thinking, offers a review of the concepts and techniques of arithmetic and algebra 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, expressions containing exponents and radicals, and the calculation of the greatest common divisor and the least common multiple. In addition, you will have the opportunity to complete 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 arithmetic and algebra to succeed in the study of disciplines that require them, such as economics, engineering, statistics, or physics. The course has a rigorous and didactic approach, combining 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, which you can consult to expand your knowledge and delve 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 in a totally free mode or by paying a small fee.
Contents of the introductory online mathematics course, Mathematical Elements for Critical Thinking
These are the contents of the course, which will allow you to review the essential concepts and methods of arithmetic and algebra:
- Real Numbers: 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).
- Order of Operations: the order of arithmetic operations and the use of parentheses are reviewed, and exercises and problems with expressions containing combined operations are solved.
- Fractions: the concept of fractions and their terminology are reviewed, as well as the elementary operations between them, without neglecting the resolution of application problems.
- Ratio, Proportion, and Percentages: the concept of ratio and proportion is reviewed, and problems of direct and inverse proportionality are solved. The concept of percentage and its relationship with fractions and decimals are also reviewed, and application problems are solved.
- Exponents: the concept of exponents is reviewed, as well as the properties and operations involving exponents, and exercises and problems with expressions containing exponents are solved.
- Algebraic Expressions: the concept of algebraic expressions and their terminology are reviewed, as well as the elementary operations between them, without neglecting the resolution of application problems.
- Special Products: the concept of special products and their formulas are reviewed, and exercises and problems with expressions containing special products are solved.
- Algebraic Factorization: the concept of algebraic factorization and its methods are reviewed, and exercises and problems with expressions containing algebraic factorizations are solved.
Free or paid introductory mathematics course
The course has two modes: free and paid. The free 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 resume, 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 University of Rosario and edX being able to continue offering quality courses that are accessible to 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 introductory online mathematics course (in its free or paid mode) Mathematical Elements for Critical Thinking is a course that provides you with an excellent opportunity to review the foundations and applications of arithmetic and algebra, which are the basis of critical 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.
