Math103
Basics of Mathematics
Faculty
Alexey Vasiliev
Senior Researcher at Space Research Institute, Moscow
Course length
Duration
Total hours
Credits
Language
Course type
Fee for single course
Fee for degree students
Skills you’ll learn
Overview
During this course, we’ll recall the basic notions of high school mathematics such as: the coordinate plane, functions and their graphs, and the general properties of the graphs. We’ll review the most important functions, including: linear, polynomial, rational, exponential, logarithmic, and trigonometric functions. Many examples demonstrating the applications of these functions will be considered.
Learning highlights
Course outline
15 classes
Session 1
Coordinate plane; function graphs
Session 2
Linear functions. Analysis of function graphs
Session 3
Polynomial functions
Session 4
Rational functions
Session 5
Examples and problem solving
Session 6
Review and Midterm 1
Session 7
Exponents and logarithms
Session 8
Trigonometric functions
Session 9
Trigonometric functions
Session 10
Examples and problem solving
Session 11
Review and Midterm 2
Session 12
Sequences and series; binomial formula
Session 13
Problem Solving
Session 14
Problem Solving
Session 15
Final test
Prerequisites
It is recommendable to have a certain level of high school math.
Methodology
Each three-hour session will consist partly of a lecture given by the professor and partly of a practical session, where students will try to solve problems (related to the subject of the day) under the professor's supervision. There will also be some classroom discussion about these problems. In order to further improve understanding of the material, homework will be assigned after every session. There will be two interim tests after each of the first two weeks, and a final test at the end of the module.
Grading
In 1987, Alexei Vasiliev graduated from the Physics Department of Moscow State University and joined Moscow Space Research Institute as a PhD student. After obtaining his PhD in theoretical physics in 1991, he worked on problems of nonlinear chaotic dynamics in various fields of physics, like hydrodynamics, classical mechanics, celestial mechanics, and plasma physics. In 2012 he obtained his Second doctoral degree in theoretical and mathematical physics. Alexei Vasiliev worked as PI or investigator in numerous international projects; he authored more than 70 scientific publications. He also teaches at Moscow Institute of Physics and Technology and at New Economic School.
See full profileApply for this course
Basics of Mathematics
by Alexey Vasiliev
Total hours
45 Hours
Dates
Nov 07 - Nov 25, 2022
Fee for single course
€1500
Fee for degree students
€750
How to secure your spot
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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.