Math104BKK
Calculus – 1
Faculty
Mikhail Romanov
Senior Machine Learning Engineer, Yandex, Expert
Course length
Duration
Total hours
Credits
Language
Course type
Fee for single course
Fee for degree students
Skills you’ll learn
Overview
This course provides the students with the must-to-know math needed for advancing in any analytical field. In other words, the course will teach them the language science uses to quantify and evaluate phenomena. The first part of the course is mainly about using the language and learning its rules; then, you will apply these rules to solve the problems without diving into the philosophy of why it is so.
It is important to note that this course will be very intense.
Learning highlights
- The main objective of this module is to learn the basic notions of mathematical analysis, get the required skills to read the notations and perform calculations.
Course outline
15 classes
Session 1
Definition of function.
The functions that we know. Exponents and logarithms recap. Features of exponents and logarithms. Memorization of exponents and logarithms. Equations.
Session 2
Exercises
Session 3
Trigonometry recap. Derivation of two main trigonometric equations.
Complex numbers. Complex exponent, The Circle and how to use them. Memorization of trigonometry. Equations
Session 4
Exercises
Session 5
Derivatives. Physical meaning. Table of derivatives. The rules. Memorization of that.
Session 6
Exercises
Session 7
Indefinite Integrals. Physical meaning. Table of the integrals. The rules. Memorization of the integration rules. Exercises.
Definite Integrals. Newton’s formula.
Substitutions. Physical meaning. Improper integrals.
Session 8
Exercises
Session 9
Definite Integrals. Newton’s formula. Substitutions. Physical meaning. Improper integrals.
Session 10
Exercises
Session 11
Partial derivatives. Multiplicate integrals.
Approximate derivatives and integrals I.
Session 12
Exercises
Session 13
Euler-Maclaurin formula and Taylor formula. Physical meaning.
Approximation of the functions. Approximation of derivatives and integrals II.
Summing the series. Geometric progression.
Session 14
Exercises
Session 15
Exam
Prerequisites
Time, perseverance, and ability to concentrate.
Methodology
I will adapt the course flow to the students. This course is about practicing and building up skills. Thus, there will be a lot of exercises. Before each of the parts there will be a small lecture to ensure transparent understanding of the notions and what they are needed for. In each of the lectures the knowledge will be given in the form of mindmaps, these should be compiled by each student by hand.
Grading
Mikhail Romanov, PhD, is a deep learning researcher and engineer. His experience includes deep learning for production, scientific computing and research, accompanied by teaching mathematics and machine learning in general.
His academic experience includes teaching courses at MIPT, HSE, Harbour Space Universities and online platforms. As a researcher, he has conducted research at the Technical University of Denmark, Mail.ru, Samsung Research, Quantori, and Yandex. In his research, his main areas of interest are depth estimation, optical flow, optimisation of neural networks, multi-task learning, self-supervised learning, LLMs and diffusion models. He has published papers on tomography, deep learning, scientific computing, computer vision, generative AI, and diffusion models.
See full profileApply for this course
Calculus – 1
by Mikhail Romanov
Total hours
45 Hours
Dates
Oct 23 - Nov 10, 2023
Fee for single course
€2999
Fee for degree students
€1999
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.