Monthly Subscription Starting at AED 99 + VAT

Level Awareness
Duration 23 hours
Course by Delft University of Technology
Total students 1,751 enrolled
Offered by

About

A strong foundation in mathematics is critical for success in all science and engineering disciplines. Whether you want to make a strong start to a master's degree, prepare for more advanced courses, solidify your knowledge in a professional context or simply brush up on fundamentals, this course will get you up to speed.

Probability theory can be applied to learn more about real-life problems, and it is useful for building models. Moreover, it provides the basis for statistics and applications in data analysis. Therefore, it is a useful subject for any aspiring or practicing engineer.

We will use some basic calculus, in particular (partial) differentiation and (multiple) integration. The focus will be on the interpretation rather than on the computation; so the required techniques will be low-level. If, however, you feel insecure about these topics, you can brush up on them in our calculus courses within this series.

This course will offer you an overview of the probability theory elements common to most engineering bachelor programs. It will provide enough depth to cover the probability theory you need to succeed in your engineering master's or profession in areas such as modeling, finance, signal processing, logistics and more.

This is a review course
This self-contained course is modular, so you do not need to follow the entire course if you wish to focus on a particular aspect. As a review course you are expected to have previously studied or be familiar with most of the material. Hence the pace will be higher than in an introductory course.

This format is ideal for refreshing your bachelor level mathematics and letting you practice as much as you want. Through the Grasple platform, you will have access to plenty of exercises and receive intelligent, personal and immediate feedback.

What you will learn

Describe discrete and continuous random variables (RVs).
Deduce properties of RVs, such as expectation and variance.
Gain insight into when certain RVs appear in a specific context.
Observe how two RVs interact.
Obtain understanding into some limiting results, in particular the Central Limit Theorem and how powerful it is.
Simulate some real-life situations.

Skills you learn

Syllabus

Week 1: Probability spaces and general concepts

events
probability function
conditional probability
introduction to discrete random variables

Week 2: Discrete random variables

Bernoulli distribution
geometric distribution
binomial distribution
Poisson distribution
applications

Week 3: Continuous random variables

density function
exponential distribution
Pareto distribution
normal distribution

Week 4: Multivariate random variables

joint distribution
marginal distribution
covariance and correlation
independence
conditional expectation

Week 5: Limiting theorems

law of large numbers (LLN)
central limit theorem (CLT)
applications

Week 6: Simulation

Monte Carlo simulation
examples

Auto Summary

Explore the fundamentals of probability theory with edX's "Probability Theory" course. Delve into discrete and continuous random variables, understand their properties, and discover their applications. This 23-hour course is perfect for those seeking to build awareness in Maths & Statistics. Available with Professional and Starter subscription options, it’s tailored for learners looking to enhance their knowledge in this domain.