Professional Certificate: Mastering Linear Algebra

Professional Certificate

Develop the proficiency and expertise that employers are looking for with specialized training and professional education.

2 Courses in program
6 weeks per course
4 - 6 hours per week
English language

Whether you want to make a strong start to a master’s degree, solidify your knowledge in a professional context or simply brush up on fundamentals in linear algebra, this program will get you up to speed.

This program will enable you to review the relevant topics and offer you an overview of the linear algebra common in most engineering bachelor programs.

The courses in this program provide enough depth to cover the linear algebra you need to succeed in your engineering master’s or professional work in areas such as computer graphics, systems and control, machine learning, quantum computing and more.

In the first course you will review all the basic concepts and practice and refresh the skills related to vectors and linear equations. The course focuses on vectors (from both algebraic and geometric perspectives) and solving linear equations.

The second course will review all the basic concepts and practice and refresh the skills related to matrices and linear transformations. Topics covered include matrix algebra, determinants, eigenvalues and eigenvectors, diagonalization and singular value decomposition.

These courses are self-paced, self-contained and modular, to make it easier to review specific topics and practice as often as you want without having to follow the entire courses.

This program is ideal for:

Prospective engineering students who want to meet the prerequisites for a MSc program, be better prepared or refresh their mathematics knowledge before starting a master’s degree.
Engineering or bachelor students who realize that they have a gap in their math knowledge or would like an additional challenge in mathematics not offered by their studies.
Working professionals who would like to improve their math knowledge.
Anyone interested in university level mathematics.
This program will refresh your knowledge, test your skills and review the relations between the various concepts in linear algebra. As review courses, you are expected to have previously studied or be familiar with most of the material.

This program is part of our series ‘Mastering Mathematics for Engineers’, together with ‘Mastering Calculus’ and ‘Mastering Probability and Statistics’.

Analyze and solve linear systems of equations.
Work with linear subspaces.
Use orthogonality in the analysis of linear systems and linear subspaces and calculate projections.
Matrix Algebra: calculate products, inverses and inverses of matrices.
Work with linear transformations.
Calculate eigenvalues, eigenvectors and eigenspaces of matrices.
Find diagonalizations and singular value decompositions of matrices, and use those to simplify matrix calculations.

In many engineering master’s programs or professions, you need to be familiar with linear algebra.
A strong foundation in mathematics is critical for any aspiring or practicing engineer.
Knowledge of linear algebra is needed to succeed in an engineering master’s or profession in areas such as computer graphics, systems and control, machine learning, quantum computing and more.