Math107BKK
Linear Algebra 1
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
This course will teach you basic notions and results of Linear Algebra. You will study matrices, vector spaces and linear maps which will allow you to solve general systems of linear equations. One of the most important tools in the study of matrices is the Jordan normal form which allows to simplify many calculations (e.g. exponentiation). You will learn how to find such a canonical form and apply that knowledge to special classes of matrices.
Learning highlights
- The goal of the module is to meet linear algebra and understand its foundation.
- Students will learn key concepts and methods that will help them tackle a variety of problems related to the study of linear systems and linear transformations of vector spaces.
- Some of these concepts and methods are applied to biology, economics, computer graphics, electrical engineering and cryptography.
Course outline
15 classes
Session 1
Vectors, Matrices and Basic Operations on Them
Session 2
Matrices as Linear Maps
Session 3
Matrix Multiplication, Invertible Matrices
Session 4
Square Matrices of Order 2
Session 5
Square Matrices of Order 2, Linear Systems
Session 6
Midterm Test 1. Some Algebraic Notions
Session 7
Vector Spaces
Session 8
Linear Maps and Endomorphisms
Session 9
Polynomials of Matrices
Session 10
Diagonalization
Session 11
Midterm Test 2. Jordan Normal Form
Session 12
Jordan Normal Form
Session 13
Special Matrices
Session 14
Review
Session 15
Final Exam
Methodology
Lectures
Practical sessions under professor's supervision
Classroom discussions
Homework after every session
Two interim tests after each of the first two weeks
Final exam at the end of the module
Grading
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 1
by David Zmiaikou
Total hours
45 Hours
Dates
Jan 17 - Feb 04, 2022
Fee for single course
€1500
Fee for degree students
€750
Explore related courses
Filter by campus:
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.