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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo and Text Based

Course Overview

Intended for an electrical engineering audience, the Probability Foundations for Electrical Engineers certification by Swayam touches upon the fundamental aspects of the probability theory. Probability theory and its models play a significant part in various aspects of design and implementation, communications, networking applications, and signal processing. 

Besides, the Probability Foundations for Electrical Engineers certification syllabus covers vital concepts of probability like conditional probability, continuous random variables, discrete random variables, variance, correlation, and the like. This AICTE approved course will require candidates to have basic calculus knowledge to better grasp the course. 

The Probability Foundations for Electrical Engineers online course is taught by two eminent professors from IIT Madras known as Prof. Andrew Thangaraj and Prof. Aravind R, who hails from the electrical engineering department. Although the course isn’t directly relevant to industries, it is a foundational path towards various other courses like Wireless/Digital communication, adaptive signal processing, and the like.

The Highlights

  • Elective course 
  • AICTE approved, FDP course
  • 12-week course
  • Undergraduate/postgraduate level course
  • Weekly assignments 
  • Final examination 
  • Free course 
  • Certificate on completion 
  • Free books and materials

Programme Offerings

  • Weekly Assignments
  • elective course
  • Free books and materials
  • AICTE approved
  • FDP course
  • certificate on completion
  • 12-week study
  • free course
  • Undergraduate/Postgraduate level course
  • Final examination

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 1000yesIIT Madras (IITM)
  • The Probability Foundations for Electrical Engineers online course is a free course. Candidates opting for the course with a certificate must pay Rs 1,000.  

The Probability Foundations for Electrical Engineers fee structure 

Course option

Fee 

Probability Foundations for Electrical Engineers (Audit only)

Free

Probability Foundations for Electrical Engineers (With certificate)

Rs 1,000


Eligibility Criteria

There is one prerequisite to the Probability Foundations for Electrical Engineers online program. Candidates applying for the course must understand basic calculus to navigate the course better.  

Certificate Qualifying Details

Besides, applicants who want to avail a certificate must complete all the weekly assignments, give the final examination, and secure a passing average as provided on the Swayam platform. The passing average is 40% in the weekly assignments, which will be calculated based on eight best assignments out of the 12. Similarly, the passing average for the final examination is 40%.

What you will learn

Mathematical skill

Upon completing the Probability Foundations for Electrical Engineers Certification syllabus, candidates will be an expert in the following:

  • All about probability space 
  • Understanding random variables 
  • All about variance and correlation 
  • Exploring conditional probability 
  • All about the law of large numbers 
  • Understanding independence

Who it is for

Learners interested in gaining in-depth knowledge in the foundations of probability can apply for the Probability Foundations for Electrical Engineers certification course. It can be opted by students and professionals.


Admission Details

Candidates who wish to pursue the Probability Foundations for Electrical Engineers Certification program by Swayam should register on the platform as given below: 

Step: 1 Go to Swayam’s website: https://swayam.gov.in/

Step: 2 On the search bar, type, “Probability Foundations for Electrical Engineers” and click on the course.  

Step: 3 On reaching the course page, click on the “Join” button. 

Step: 4 Candidates will now be directed to the account creation page. Here they should register by creating a new account or using their existing email. 

Step: 5 Once the registration is complete, candidates must verify their id. Once verification is done, the course will be open for learning.  

Application Details

There is no requirement to fill an application form during the Probability Foundations for Electrical Engineers online course registration process. However, for successful registration, they must use their existing Facebook, Google, or Microsoft Id to log in or sign up by creating a new account on the Swayam platform.

The Syllabus

  • Introduction
  • Cardinality and Countability
  • Probability Space

  • Properties of Probability Space
  • Discrete Probability Space
  • Generated \sigma-algebra

  • Borel sets, Caratheodory’s extension theorem
  • Lebesgue Measure
  • Infinite coin toss model

  • Conditional probability
  • Independence
  • Borel-Cantelli Lemmas

  • Random variables
  • Distribution function
  • Types of random variables

  • Discrete Random variables
  • Continuous random variables
  • Singular random variables

  • Several random variables
  • joint distribution
  • Independent random variables

  • Transformation of random variables

  • Integration and Expectation
  • Properties of integrals
  • Monotone convergence
  • Dominated convergence
  • Expectation over different spaces

  • Variance
  • Covariance
  • Conditional expectation

  • Transform techniques: moment generating function, characteristic function

  • Convergence of random variables
  • Laws of large numbers
  • Central limit theorem

Evaluation process

The certificate is only offered to students to appear for and clear the final exam. The details regarding the exam are made available by Swayam in due course. The exam will be proctored, and students will have to appear for it by visiting one of Swayam’s designated centers. The exam registration fee is Rs. 1,000.

Instructors

IIT Madras (IITM) Frequently Asked Questions (FAQ's)

1: What is the duration of the Probability Foundations for Electrical Engineers course?

The duration of the Probability Foundations for Electrical Engineers course is 12 weeks. 

2: Are there any prerequisites to be considered while applying?

Yes. Candidates applying for the course are expected to know basic calculus. 

3: Do I have to pay the course fee if I am not going to attempt the final examination?

No. Candidates who want to receive a certificate have to attempt the final examination for which they must make the payment. 

4: Are my weekly assignments considered for certificate evaluation?

Yes. Out of 12 weekly assignments that the candidates turn in, eight best ones will be considered for certification eligibility. 

5: Do I receive career guidance on the platform?

No. The course and the platform are only for learning, and candidates don’t receive any career guidance.

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