Optimization & Operations Research Courses and Certifications

Convex Optimization I - 2023

Master convex optimization fundamentals and applications across engineering, finance, and machine learning through Stanford's comprehensive mathematical framework and solution techniques.

• YouTube
• 23 hours 44 minutes
• Self-Paced
• Free Video

Krista King

Calculus I - Complete Course with Functions, Limits, Derivatives and Applications

Master fundamental calculus concepts from functions and limits to derivatives and optimization through comprehensive problem-solving and real-world applications.

• YouTube
• 17 hours 52 minutes
• Self-Paced
• Free Video

Krista King

Applications of Derivatives - Optimization, Graph Sketching, Linear Approximation, Related Rates, and Physics Applications

Master optimization, graph sketching, related rates, and real-world applications using derivative techniques for physics, economics, and exponential models.

• YouTube
• 7 hours 42 minutes
• Self-Paced
• Free Video

Sebastian Lague

A* Pathfinding Tutorial in Unity

Master A* pathfinding algorithm implementation in Unity through comprehensive tutorials covering grid systems, heap optimization, unit movement, and advanced smoothing techniques.

• YouTube
• 3 hours 11 minutes
• Self-Paced
• Free Video

Linear programming – the basic ideas

3 ratings at OpenLearn

This free course examines the formulation and solution of small linear programming problems. Section 1 deals with the formulation of linear programming models, describing how mathematical models of...

• OpenLearn
• 16 hours
• Self-Paced
• Free Certificate

Validation of Safety Critical Systems

Master mathematical validation techniques for autonomous systems using sampling methods, formal verification, and reachability analysis in safety-critical applications.

• YouTube
• 18 hours 50 minutes
• Self-Paced
• Free Video

Optimization: principles and algorithms - Linear optimization

Introduction to linear optimization, duality and the simplex algorithm.

• edX
• 5 weeks, 6-8 hours a week
• Self-Paced
• Free Online Course (Audit)

Mathematical methods for Economics

The primary goal of this course is to equip students with essential mathematical tools that are crucial for a comprehensive understanding of the foundations and methodologies in modern economic analys

• Federica
• Self-Paced
• Free Online Course

Decision Science in Management

Apply quantitative and qualitative modeling techniques to make sound business decisions in complex and uncertain environments.

• Swayam
• Available until Oct 31, 2026
• Free Online Course

Mathematical Foundations of AI

"Mathematical Foundatiouns of AI" offers a rigorous introduction to the fundamental concepts of linear algebra, calculus, and optimization theory that form the mathematical basis of machine learning,

• edX
• 8 weeks, 6-8 hours a week
• Self-Paced
• Free Certificate

Career Certificate

Data Analytics for Digital Transformation

The Data Analytics for Digital Transformation Certificate equips you with tools like Python, SimPy, and Pyomo to master predictive, simulation, and prescriptive analytics.

• edX
• 31 weeks, 2-5 hours a week
• Self-Paced
• $429.00
• 4 courses

IIT Kanpur;  NPTEL

Linear programming and its applications to computer science

Develops linear programming from linear algebra, convex geometry, simplex and duality to applications in game theory, network flows, approximation algorithms, and machine learning.

• Swayam
• 8 weeks
• Available until Oct 9, 2026
• Free Online Course

IIT Roorkee;  NPTEL

Essential Mathematics for Machine Learning

Builds the mathematical foundations of machine learning through linear algebra, calculus, optimization, and probability.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

IIT Kanpur;  NPTEL

Data Analysis & Decision Making - II

n general Decision Analysis and Decision Making (DADM) covers three main areas which are: Multivariate Statistical Analysis with its applications, Other Decision Making Models like DEA, AHP, ANP, TOPSIS, etc., and Operations Research and its tools with a…

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

IIT Kharagpur;  NPTEL

Mathematics for Machine Learning

Builds mathematical foundations for machine learning through optimization, probability, statistics, and applications to modern learning algorithms.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course