Foundations of Mathematical Reasoning
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 is an introduction to mathematical thinking and techniques of proof. During the course, basic notions and notations will be given. We will encounter sets, relations, functions, real and complex numbers, modular arithmetic, and polynomials.
In order to study this subjects efficiently and to be able to obtain exact results, students will be exposed to different techniques of formal proof. These will in particular be mathematical induction, arguing by contradiction, equivalence and pigeonhole principle.
Learning highlights
- One of the goals of the course is to provide necessary background and tools for studying further more profound courses.
- More importantly, students will learn how to approach a large variety of mathematical problems by reasoning logically and abstractly.
Course outline
4 classes
Session 1
Elements of Logic
Session 2
Sets: Operations and Relations
Session 3
Numbers: Real Line
Session 4
Functions: Basic Terminology
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.
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
Foundations of Mathematical Reasoning
by David Zmiaikou
Total hours
45 Hours
Dates
Oct 15 - Nov 02, 2018
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.