What will I learn?
The online Linear Algebra course (in its free or paid mode), Foundations of Linear Algebra from the Universidad del Rosario, is an excellent option to get started in the world of linear algebra. This course offers an introduction to linear algebra, from both a theoretical and practical point of view. The course is designed for people who have prior knowledge of algebra and calculus, but who want to delve deeper into linear algebra and its applications. The course has a rigorous and didactic approach that 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 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 Linear Algebra course, Foundations of Linear Algebra
The course is divided into the following units:
- Vectors: the concept of a vector is defined, operations with vectors are performed, and linear combination and its properties are studied.
- Matrices: the concept of a matrix is introduced, matrices are classified according to their characteristics, matrix operations are performed, and matrix determinants are calculated.
- Vector spaces: what a vector space and subspace are is explained, linear combination and the span are analyzed, and the bases and dimensions of vector spaces are determined.
- Systems of linear equations: systems of linear equations are solved using the elimination method, the conditions for existence and uniqueness of solutions are studied, and systems of equations are related to matrices and vector spaces.
- Linear transformations: the concept of a linear transformation is defined, linear transformations are classified according to their properties, matrices associated with linear transformations are calculated, and linear transformations are applied to problems in geometry and data science.
- Eigenvalues and eigenvectors: the concept of eigenvalue and eigenvector is introduced, eigenvalues and eigenvectors of a matrix are calculated, their properties are studied, and they are applied to problems of stability and matrix diagonalization.
The course has two modalities: free and paid. The free 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 to your curriculum vitae, as it demonstrates your interest and competence in linear algebra. In addition, by paying for the course, you will be contributing to the ability of the Universidad del Rosario and edX to continue offering quality, 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 Linear Algebra course (in its free or paid mode), Foundations of Linear Algebra, is a course that offers you an excellent opportunity to learn the foundations and applications of linear algebra, 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.
