Linear Algebra – 2
Faculty
David Zmiaikou
PhD, Lecturer at the Belarusian State University
Course length
Duration
Total hours
Credits
Language
Course type
Fee for single course
Fee for degree students
Skills you’ll learn
Overview
In this module, the beautiful and powerful results of linear algebra will be explored. One of the most important tools in the study of matrices is Jordan canonical form which allows to simplify many calculations (e.g. exponentiation).
We will learn how to find such a canonical form and apply that knowledge to special classes of matrices. Furthermore, bilinear forms will be introduced together with the classical notion of a Euclidean space. An algorithm called Gram–Schmidt Process will provide a useful technique for constructing orthonormal bases of a Euclidean space and its subspaces.
Learning highlights
- During the module, students will deepen their knowledge of linear algebra. They will learn new key concepts and methods that will help them in solving the majority of problems related to the study of linear transformations of vector spaces. Some of these concepts and methods are applied to biology, economics, computer graphics, electrical engineering and cryptography.
Course outline
4 classes
Session 1
Algebraic Prerequisites
Session 2
Minimal Polynomial of a Matrix
Session 3
Special Matrices
Session 4
Duality
Prerequisites
This course is one of three in a wholistic series.
Students that have already taken MSL-111 and those with prior experience with HTML, CSS, and Javascript building simple web pages will be good candidates for this module.
David Zmiaikou graduated from the Ecole Polytechnique in France, and obtained his Ph.D. degree at the University Paris-Sud under the supervision of Professor Jean-Christophe Yoccoz (Fields Medal).
After that, he did his postdoctoral research in Mathematics in Rio de Janeiro, Vienna, Zurich, Bures-sur-Yvette and Bonn, and worked in DNA Analysis at Sanger Institute near Cambridge.
See full profileApply for this course
Linear Algebra – 2
by David Zmiaikou
Total hours
45 Hours
Dates
Apr 09 - Apr 27, 2018
Fee for single course
€1500
Fee for degree students
€750
How to secure your spot
Complete the form below to kickstart your application
Schedule your Harbour.Space interview
If successful, get ready to join us on campus
FAQ
Will I receive a certificate after completion?
Yes. Upon completion of the course, you will receive a certificate signed by the director of the program your course belonged to.
Do I need a visa?
This depends on your case. Please check with the Spanish or Thai consulate in your country of residence about visa requirements. We will do our part to provide you with the necessary documents, such as the Certificate of Enrollment.
Can I get a discount?
Yes. The easiest way to enroll in a course at a discounted price is to register for multiple courses. Registering for multiple courses will reduce the cost per individual course. Please ask the Admissions Office for more information about the other kinds of discounts we offer and what you can do to receive one.