Linear Algebra - 1
Faculty
Maxim Beketov
PhD student in ML & Topology @ HSE
Course length
Duration
Total hours
Credits
Language
Course type
Fee for single course
Fee for degree students
Skills you’ll learn
Overview
Linear algebra – a study of lines, planes, vectors, linear equations, transforms, matrices, tensors – is the heart of many areas of mathematics. It spans from pure (like representation theory), to applied to any natural sciences such as physics & chemistry (linear algebra is the language of quantum mechanics), any numerical modeling (including mechanical and networks engineering) and data processing, statistical inference and machine learning. This course will be the beginning of your journey in this exciting field, covering the required theory and providing you with a lot of practice (including some numerical programming)!
Learning highlights
- Our main goal is to master the concepts: vector spaces, linear dependence/independence, span and rank, matrices and their arithmetic, the basis, orthogonality, determinants, etc. – discovering them ourselves by solving problems (motivated by practice).
Course outline
4 classes
Lecture: Introduction. Vectors, linear combinations, the dot product, vector’s length
Seminar (Lab): Vectors in Python & NumPy, comparing data with the dot-product
Lecture: Systems of linear equations (SLEs)
Seminar: Solving problems on SLEs
Session 3
Lecture: (Gaussian) Elimination: the idea of it, elimination in terms of (augmented) matrix notation for SLEs
Seminar: Solving SLEs with elimination. Commenting on the code implementation of GE
Lecture: Matrices and matrix operations, inverse matrices
Seminar: Solving problems on matrix arithmetic
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.
I got my BSc and MSc in Physics & Mathematics from MIPT and Skoltech, with a specialisation in theoretical/computational physics (integrable and chaotic quantum systems, to be certain). Upon graduation I temporarily left academia, working as a data scientist for App in the Air (ask me about recommender systems) for a year, as well as teaching 10-11th grades IB DP Mathematics (passionate about teaching). I then realized that what interests me most is geometry & topology, so I worked as a Python developer for an architectural startup Archeads Inc., doing some computational geometry for procedural floor plan generation; and also joined a wonderful laboratory of Algebraic Topology and its Applications at the CS department of Higher School of Economics, where I'm now a PhD student researching topological data analysis and its applications in machine learning.
See full profileApply for this course
Linear Algebra - 1
by Maxim Beketov
Total hours
45 Hours
Dates
Jun 08 - Jun 26, 2020
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.