What will I learn?
The online determinants algebra course (in its free or paid mode), Linear Algebra III: Determinants and Eigenvalues, delves into the intricate concepts of determinants and eigenvalues, vital for advanced studies and professional applications in mathematics, engineering, computer science, and related disciplines. You will gain a deep understanding of critical concepts that are essential for advanced mathematics and practical applications. This course is designed to enhance your analytical skills and provide you with tools that are invaluable in both academic and professional settings.
This course is tailored for students and professionals in STEM fields who have a foundational knowledge of linear algebra and are eager to delve deeper into its applications. Students who are enrolling in this class should have completed the previous course in our four-part linear algebra sequence: Linear Algebra II. 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 determinants algebra course, Linear Algebra III: Determinants and Eigenvalues
These are the contents of the course:
- Introduction to Determinants: Learn the fundamental properties and computation methods for determinants, essential for understanding matrix theory.
- Cofactor Expansion: Explore the cofactor expansion method, a crucial technique for calculating determinants of larger matrices.
- Properties of Determinants: Understand the various properties of determinants and how they are used in solving linear systems.
- Introduction to Eigenvalues and Eigenvectors: Discover the importance of eigenvalues and eigenvectors in linear transformations and various applications.
- Characteristic Polynomial: Study the characteristic polynomial and its role in finding eigenvalues of a matrix.
- Diagonalization: Learn the process of diagonalizing matrices using their eigenvalues and eigenvectors, which simplifies many linear algebra problems.
- Applications of Eigenvalues: Explore real-world applications of eigenvalues and eigenvectors in fields such as stability analysis, quantum mechanics, and data science.
Paid or free determinants algebra course
The course has two modalities: free and paid. The free determinants algebra 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 determinants algebra. In addition, by paying for the course, you will be contributing to The Georgia Institute of Technology 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 determinants algebra course (in its free or paid mode), Linear Algebra III: Determinants and Eigenvalues, will empower you with a deeper understanding of linear algebra, enhancing your ability to solve complex mathematical problems. It’s an invaluable asset for anyone looking to advance in fields that rely on precise mathematical modeling. Enroll now and take a significant step forward in your mathematical education!
