Math007
Algebra 1
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 is a crash course on algebra and number theory. We will start by refreshing basic useful notions such as ratio, percents and proportions, and will explain how to manipulate them and apply them to practical problems. Then we will consider arithmetic and geometric sequences, finding formulas for summing first several terms of such sequences. A large part of the course will be dedicated to modular arithmetic, including the Euclidean algorithms and applications to cryptography.
Learning highlights
- The goal of the course is to provide the necessary background in elementary algebra.
- On one hand we will recall algebraic notions already seen in high school, on the other hand, we will try to deepen understanding and see them from the perspective of a university level.
Course outline
15 classes
Class 1
Ratios and Conversion Factors
Class 2
Percents
Class 3
Proportions
Class 4
Rate Problems
Class 5
Arithmetic Sequences
Class 6
Review and Midterm 1
Class 7
Geometric Sequences
Class 8
Prime Numbers
Class 9
The Division Algorithm
Class 10
Congruence
Class 11
Review and Midterm 2 Applications to Cryptography
Class 12
The Euclidean Algorithm
Class 13
Integer Representations
Class 14
Review
Class 15
Final Exam
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. In order to further improve understanding of the taught material, homework will be assigned after every session. There will be two interim tests after each of the first two weeks, and a final exam at the end of the module.
Grading
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
Algebra 1
by David Zmiaikou
Total hours
45 Hours
Dates
Feb 22 - Mar 12, 2021
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.