Math008
Elementary Combinatorics & Probability
Faculty
Evgeniya Korneva
Senior Data Scientist at Monster
Course length
Duration
Total hours
Credits
Language
Course type
Fee for single course
Fee for degree students
Skills you’ll learn
Overview
Probability theory plays a significant role in science, finance and industry. Whenever there is a non-deterministic experiment, one would like to describe possible outcomes and to measure their likelihoods (in other words, to find their probabilities). During this course, we will give an elementary outline of probability with examples and applications.
We will start by explaining relevant counting tools and strategies, then we will introduce probability and give useful properties.
Learning highlights
- The objective of the course is to provide a vivid introduction to combinatorics and probability theory by uncovering their basic notions and techniques.
Course outline
15 classes
Class 1
The Multiplication and Addition Principles
Class 2
The Principle of Inclusion-Exclusion
Class 3
Permutations and Combinations - I
Class 4
Permutations and Combinations - II
Class 5
The Pigeonhole Principle
Class 6
Review and Interim Exam 1
Class 7
The Probability of an Event - I
Class 8
The Probability of an Event - II
Class 9
Conditional Probability
Bayes’ Rule
Class 10
Independent Events
Class 11
Review and Interim Exam 2
Class 12
Random Variables
The probability distribution of a discrete random variable
Class 13
Expected Value and Variance
Class 14
Review
Class 15
Final Exam
Course materials
Books
Methodology
Each three-hour class is a mixture of a lecture, where the new material is presented, and a practical section, where problems related to the topic of the day are solved and discussed.
In order to further improve understanding of the taught material, ungraded tests and quizzes will be given regularly. Besides, five graded homeworks will be assigned that will contribute to the final grade for the course.
There will be two interim exams at the end of the first two weeks, followed by the final exam on the final day of the course.
Grading
Evgeniya was born in Moscow and got a bachelor’s degree in Applied Mathematics and Informatics from Higher School of Economics in 2015. She then moved to Belgium to continue her education at KU Leuven, where she got a master's degree in Artificial Intelligence. In October 2016, Evgeniya joined the DTAI research group as a doctoral researcher.
Apart from conducting research on Machine Learning, Evgeniya was teaching master’s courses on Fundamentals of AI and Data Mining. For three years in a row, she won The Best Teaching Assistant prize. Apart from that, Evgeniya volunteers as an instructor at summer schools and workshops, as well as creates educational content on programming and Machine Learning for several on-line learning platforms.
See full profileApply for this course
Elementary Combinatorics & Probability
by Evgeniya Korneva
Total hours
45 Hours
Dates
Mar 15 - Apr 02, 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.