Constrained Optimization Courses and Certifications

NPTEL-NOC IITM

Optimization Theory: Introduction to Constrained and Unconstrained Problems - Part 1

Explore fundamental concepts of optimization theory, including constrained and unconstrained approaches for solving complex mathematical problems.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Multivariate Optimization With Equality Constraints

Learn advanced techniques for solving optimization problems with equality constraints in multivariable calculus, enhancing your mathematical problem-solving skills.

• YouTube
• 31 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 3 Lecture - Constrained Optimization with LaGrange Multipliers

Use gradients and Lagrange multipliers to optimize multivariable functions subject to constraints.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Wolfram

Tame Your Data - Constrained Spline Regression in the Wolfram System

Explore disciplined convex programming for optimized cubic spline functions with constraints, applying advanced techniques to solve multi-objective optimization problems.

• YouTube
• 30 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Constrained Optimisation

Explore constrained optimization techniques for solving problems with restrictions on variables, essential for mathematical modeling and decision-making in various fields.

• YouTube
• 29 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Single Inequality Constraint

Explore the mathematical concept of single inequality constraint and its applications in optimization problems.

• YouTube
• 20 minutes
• Self-Paced
• Free Video

NPTEL;  IIT Kharagpur

Constrained and Unconstrained Optimization

A systematic course in optimization and operations research, spanning linear, integer, nonlinear, dynamic, and multi-objective methods.

• YouTube
• 1 day 6 hours
• Self-Paced
• Free Video

The Julia Programming Language

GPU Implementation of Algorithm NCL for Constrained Optimization

Explore GPU-accelerated constrained optimization using Algorithm NCL with Julia, MadNLP.jl, and CUDSS.jl for efficient KKT system reduction and Cholesky factorization.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

The Julia Programming Language

Efficient Constrained Optimization using ConicSolve.jl

Master constrained optimization with ConicSolve.jl, covering interior-point methods for LP, QP, SOCP, and SDP problems with practical robotics and image processing examples.

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

Engineering Design Optimization - Linear Constrained Optimization

Explore mathematical and algorithmic fundamentals of optimization for engineering systems design, covering linear and non-linear problems with emphasis on multidisciplinary applications.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Basic Math: Derivatives

Master differential calculus: work with functions and their properties, apply the chain rule and implicit differentiation, and solve optimization problems including constrained maxima and minima.

• Coursera
• 6 weeks, 3 hours a week
• Self-Paced
• Paid Course

Advanced Intelligent Optimization and its Applications

Configure evolutionary algorithms, handle constraints and multiple objectives, and implement combinatorial optimization algorithms in Python for science and engineering design.

• Coursera
• 3 weeks, 5 hours a week
• Self-Paced
• Paid Course

Advanced Concepts in Economics

Learn the basic concepts of economics through Data Science applications and Python programming. This course covers applications in production theory, utility maximization, randomized controlled trials

• edX
• 4 weeks, 5-10 hours a week
• Self-Paced
• Free Online Course (Audit)

Mathematics for Economists

通过具体的例子与练习学习如何使用和应用数学。 Learn how to use and apply mathematics by working with concrete examples and exercises

• XuetangX
• Self-Paced
• Free Online Course

现代优化方法（英）

学习连续优化的基本理论与经典算法，并将半光滑牛顿法等方法应用于科研问题求解。

• XuetangX
• Self-Paced
• Free Online Course