Probability Foundations for Electrical Engineers

Probability Foundations for Electrical Engineers

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Advanced course for professionals

Why enroll

Participants should join this course because it helps them build a strong and clear foundation in probability theory. The course explains concepts from first principles, which is essential for students who want to truly understand how probability works, not just apply formulas. It is especially useful for those planning careers or higher studies in machine learning, signal processing, communications, networks, and control systems, where probability plays a key role. By focusing on logic, proofs, and core ideas, the course improves analytical thinking and prepares learners for advanced research and real-world problem solving.

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Career opportunities

Course content

The course is readily available, allowing learners to start and complete it at their own pace.

Probability Foundations for Electrical Engineers

30 Lectures

708 min

Introduction
Preview
34 min
Cardinality
18 min
Countability
22 min
Uncountable sets-1
23 min
Uncountable sets-2
15 min
Probability spaces-Introduction
26 min
Probability spaces-Algebra
25 min
Probability spaces-σ-algebra
19 min
Probability spaces-Measurable space
31 min
Properties of probability measures
17 min
Continuity of probability measure
31 min
Discrete probability space-finite and countably infinite sample space
26 min
Discrete probability space-Uncountable sample space
18 min
Generated σ-algebra, Borel Sets
26 min
Borel sets
25 min
Uniform probability measure on Borel sets-Lebesgue measure
24 min
Carathéodory’s extension theorem
23 min
Lebesgue measure (contd)
26 min
Infinite coin toss model
25 min
Infinite coin toss model (Contd)
23 min
Conditional probability
16 min
Properties of conditional probability
33 min
Independence of events
17 min
Independence of σ-algebras
23 min
Borel-Cantelli Lemma 1
20 min
Borel-Cantelli Lemma 2
30 min
Random Variables
22 min
Random Variables (Contd)
24 min
Cumulative Distribution Function
23 min
Properties of CDF
23 min

Course details

This is a graduate-level course on probability theory for students who want to understand the subject deeply and clearly. It is especially helpful for students interested in areas like communications, networks, signal processing, machine learning, and control systems.Instead of focusing mainly on solving numerical problems or calculating probabilities, this course explains how probability theory is built from the ground up. Students will learn the basic rules (axioms) of probability and understand why important results are true by studying their proofs. Overall, the course helps learners develop a strong, logical foundation in probability rather than just learning formulas.

Source: NPTEL, NOC IIT Madras

Course suitable for

Automotive
Electronics & Instrumentation
Electrical
Engineering & Design
Project Management
Research & Developmnet

Key topics covered

Learn the core foundations of probability theory with a strong mathematical focus.
Understand sets, countability, and probability spaces from first principles.
Study how probabilities are defined, extended, and measured rigorously.
Learn about random variables and their different types.
Analyze multiple random variables and their relationships.
Understand expectation, integration, variance, and covariance clearly.
Learn how probability behaves under transformations and conditioning.
Use mathematical tools to study probability distributions.
Understand convergence concepts in probability theory.
Learn key results like the Law of Large Numbers and Central Limit Theorem.

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Industry-aligned courses, expert training, hands-on learning, recognized certifications, and job opportunities—all in a flexible and supportive environment.

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Bangalore, India

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Dubai, UAE

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Ass Manager, Projects

Mumbai, India

Technip

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Frankfrut, Germany

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Sr Engineer

Calgary, Canada

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Engineering Academy

Learn Without Limits: Free Engineering Courses

Probability Foundations for Electrical Engineers

Engineering Academy

FREE

Advanced course for professionals

Probability Foundations for Electrical Engineers

Engineering Academy

Why enroll

Opportunities that awaits you!

Earn a course completion certificate

Career opportunities

Course content

Probability Foundations for Electrical Engineers

Course details

Course suitable for

Key topics covered

Why people choose EveryEng

Worley

Arghyapratim Haldar

Penta Global Engineering

Prashant Joshi

L&T

Omkar Zolekar

Technip

Mulkita Sabharwal

Advanced Upstream

Ratish Kadam

Engineering Academy

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