Optimization from fundamentals

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Free Online Course: Optimization from fundamentals provided by Swayam is a comprehensive online course, which lasts for 12 weeks long. The course is taught in English and is free of charge. Upon completion of the course, you can receive an e-certificate from Swayam. Optimization from fundamentals is taught by Prof. Ankur A. Kulkarni.

Overview
  • This course will cover the topic of Optimization from its fundamentals. It will start with an overview of real analysis and convexity. With this base it will cover linear programming, convex optimization and nonlinear programming, complementarity problems and algorithms for the same. We will end with dynamic optimization.INTENDED AUDIENCE :Mathematics, any engineering and science disciplinePREREQUISITES : NoneINDUSTRIES SUPPORT :None

Syllabus
  • Week 1: Introduction to optimization and overview of real analysisWeek 2: Optimization over open setsWeek 3: Optimization over surfaceWeek 4: Transformation of optimization problems and convex analysisWeek 5: Introduction to linear programmingWeek 6: Linear programming and dualityWeek 7: Linear programming and dualityWeek 8: Nonlinear and convex optimizationWeek 9: Nonlinear and convex optimizationWeek 10: AlgorithmsWeek 11: AlgorithmsWeek 12: Dynamic optimizatio