- Instructor: Sean Donovan
- Lectures: 32
- Students: 161
- Duration: 10 weeks
This tutorial will introduce various concepts involved in non-linear optimization. Linear programming problems are very easy to solve but most of the real world applications involve non-linear boundaries. So, the scope of linear programming is very limited. Hence, it is an attempt to introduce the topics like convex functions and sets and its variants, which can be used to solve the most of the worldly problems.
This tutorial is suited for the students who are interested in solving various optimization problems. These concepts are widely used in bioengineering, electrical engineering, machine learning, statistics, economics, finance, scientific computing and computational mathematics and many more.
Convex Optimization Course is based on textbook learning material by Academy Europe.
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The textbook courses by Academy Europe are targeted at providing the students with the most important aspects of the theoretical and methodical materials. In addition, the textbook courses will also focus on the philosophical background for the development and use of the theoretical background and are thus to be understood as partly complementary to the material of the course notes. It is assumed and strongly suggested that the students study and become familiar with the course notes.
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Audience
This course by Academy Europe aims at imparting quality education and training to students.
Academy Europe is dedicated to its students, their specific learning requirements, and their overall learning success.
This course is directed toward a student-centered, independent study, asynchronous learning approach.
After completing this course on Academy Europe, students will get self improvement and promotion in their careers.
This course is based on at least two learning skills which are provided to the users through audio & visuals, videos, verbal presentations and articles, all of which are asynchronized with distance education approach.
Prerequisites
The prerequisites for this course is introduction to linear algebra like introduction to the concepts like matrices, eigenvectors, symmetric matrices; basic calculus and introduction to the optimization like introduction to the concepts of linear programming.
Before you start proceeding with this course on Academy Europe, we are assuming that you have a good aptitude and can think logically. You should want to try something different.
Ideal candidates for the course would typically possess:
– Discipline and attentiveness
– Ability to conduct research
– Ability to perform tasks with speed, efficiency, and accuracy
– Analytical judgment
– Patience to interpret technical/scientific data
– A willingness to learn, roll up your sleeves and work toward your dream!
– A computer, tablet or smartphone and an internet connection
– Basic computer skills
Curriculum
- 31 Sections
- 32 Lessons
- 10 Weeks
- Introduction2 Items
- Convex Optimization - Linear Programming1 Item
- Convex Optimization - Norm1 Item
- Convex Optimization - Inner Product1 Item
- Convex Optimization - Minima and Maxima1 Item
- Convex Optimization - Convex Set1 Item
- Convex Optimization - affine Set1 Item
- Convex Optimization - Hull1 Item
- Caratheodory Theorem1 Item
- Convex Optimization - Weierstrass Theorem1 Item
- Convex Optimization - Closest Point Theorem1 Item
- Fundamental Separation Theorem1 Item
- Convex Optimization - Cones1 Item
- Convex Optimization - Polar Cone1 Item
- Convex Optimization - Conic Combination1 Item
- Convex Optimization - Polyhedral Set1 Item
- Extreme point of a convex set1 Item
- Convex Optimization - Direction1 Item
- Convex and Concave Function1 Item
- Convex Optimization - Jensen\'s Inequality1 Item
- Convex Optimization - Differentiable Function1 Item
- Sufficient & Necessary Conditions for Global Optima1 Item
- Quasiconvex and Quasiconcave functions1 Item
- Differentiable Quasiconvex Function1 Item
- Strictly Quasiconvex Function1 Item
- Strongly Quasiconvex Function1 Item
- Pseudoconvex Function1 Item
- Convex Optimization - Programming Problem1 Item
- Convex Optimization - Fritz-John Conditions1 Item
- Karush-Kuhn-Tucker Optimality Necessary Conditions1 Item
- Algorithms for Convex Problem1 Item
Requirements
- Discipline and attentiveness
- Ability to conduct research
- Ability to perform tasks with speed, efficiency, and accuracy
- Analytical judgment
- Patience to interpret technical/scientific data
- A willingness to learn, roll up your sleeves and work toward your dream!
- A computer, tablet or smartphone and an internet connection
- Basic computer skills
Features
- Before you start proceeding with this course on Academy Europe, we are assuming that you have a good aptitude and can think logically. You should want to try something different.
Target audiences
- This course by Academy Europe aims at imparting quality education and training to students.
- Academy Europe is dedicated to its students, their specific learning requirements, and their overall learning success.
- This course is directed toward a student-centered, independent study, asynchronous learning approach.
- After completing this course on Academy Europe, students will get self improvement and promotion in their careers.
- This course is based on at least two learning skills which are provided to the users through audio & visuals, videos, verbal presentations and articles, all of which are asynchronized with distance education approach.
