What will I learn?
The online pre-university mathematics course (in its free or paid mode), Mathematics for the U, offers a review of the concepts and techniques of arithmetic, algebra, and calculus, from both a theoretical and practical perspective. 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, equations, inequalities, functions, derivatives, and integrals. In addition, you will have the opportunity to work through 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. 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 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 entirely for free or by paying a small fee.
Contents of the online pre-university mathematics course, Mathematics for the U
These are the contents of the course, which will allow you to review the essential concepts and methods of 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 expressions and their terminology are reviewed, as well as the elementary operations between them, without neglecting the resolution of application problems. The concept of equations and inequalities is also reviewed, as well as solving techniques and the graphical representation of solutions.
- Functions: the concept of functions and their terminology are reviewed, as well as properties and operations between functions, without neglecting the resolution of application problems. The concepts of linear, quadratic, exponential, and logarithmic functions are also reviewed, as well as their characteristics and graphs.
- Differential Calculus: the concept of limits and their terminology are reviewed, as well as properties and operations involving limits, without neglecting the resolution of application problems. The concept of derivatives and their terminology is also reviewed, as well as differentiation rules and techniques, without neglecting the resolution of application problems.
- Integral Calculus: the concept of integrals and their terminology are reviewed, as well as properties and operations involving integrals, without neglecting the resolution of application problems. The concept of definite and indefinite integrals is also reviewed, as well as the Fundamental Theorem of Calculus and integration techniques, without neglecting the resolution of application problems.
Free or paid pre-university mathematics course
The course has two modes: free and paid. The free mode allows you to access all course content, including videos, readings, exercises, and discussion forums. The paid mode also offers 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 mathematics. Furthermore, by paying for the course, you will be contributing to the ability of the Universidad del Rosario and edX 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 online pre-university mathematics course (in its free or paid mode), Mathematics for the U, is a course that provides an excellent opportunity to review the foundations and applications of arithmetic, algebra, and calculus, which are the basis of university-level 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.
