Math202
Linear Algebra 1
Faculty
Galina Kaleeva
Data Scientist at Yandex & HSE Lecturer
Course length
Duration
Total hours
Credits
Language
Course type
Fee for single course
Fee for degree students
Skills you’ll learn
Overview
The Linear Algebra I course introduces students to the fundamental concepts of linear algebra. The course covers linear spaces and linear operators. Students not only become familiar with these objects but also learn their geometric interpretation and how to perform computations with them. Along with the Linear Algebra - 2 course, this course provides the language and tools for solving applied problems in various areas, from game development to fintech, particularly in machine learning.
Learning highlights
- Understand and apply the main concepts of linear algebra.
- Solve problems in linear algebra both manually and using special computational tools.
- Deeply understand matrices not only as tables of numbers but also as elements of a linear space, linear transformations, and bilinear functions, and use the properties of these objects to effectively solve problems involving matrices.
Course outline
15 classes
Session 1
Systems of Linear Equations. Matrices. Elementary Operations. RREF.
Session 2
Linear Spaces – Introduction.
Session 3
Complex Numbers.
Session 4
Permutations
Session 5
Determinant and its Properties. Computing Determinants.
Session 6
Linear Transformations. Algebra of Matrices.
Session 7
Inverse Matrix.
Session 8
Linear (in)dependence. Basis. Subspaces.
Session 9
Change of Basis. Rank.
Session 10
Midterm
Session 11
Linear Operators. Eigenvalues and Eigenvectors.
Session 12
Jordan Normal Form.
Session 13
Bilinear Functions.
Session 14
Practice Session. Review.
Session 15
Final Exam
Prerequisites
Mathematical Foundations of Computing, Calculus, and Python.
Methodology
The typical 3-hour session consists of a lecture that will provide the necessary theory to later work on the practical part, a problem-solving session, and a short test on the previous session. In-depth understanding of the course is achieved through problem solving, both in class and at home. Homework provides students with more practical problems for a better understanding of the course.
Grading
Galina Kaleeva obtained her degree from Lomonosov Moscow State University, where she majored in Mathematics and Mechanics.
Currently, Galina works as a Data Scientist at Yandex, where she puts her analytical skills to create a platform for school students interested in STEM: enables hypothesis generation and validation based on data, extracts insights from big data, and supports management in making decisions related to the EdTech business.
See full profileApply for this course
Linear Algebra 1
by Galina Kaleeva
Total hours
45 Hours
Dates
Oct 16 - Nov 03, 2023
Fee for single course
€1500
Fee for degree students
€750
Explore related courses
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.