In this program
- Convex analysis foundations
- Convex optimization problems
- Algorithms
- Applications in science and engineering
- Implementation and case studies
Convex analysis foundations
Convex optimization · Standard syllabus
Convex sets and convex functions; epigraphs and sublevel sets
Objectives
- Convex sets and convex functions; epigraphs and sublevel sets
- Separation theorems
- Supporting hyperplanes
- Subgradients and optimality conditions
- Conjugate functions and Fenchel duality
- Strong and strict convexity; smoothness and Lipschitz continuity
Study materials
- Study guideComing soon
- Exam StrategyComing soon
- Common MistakesComing soon
- WorksheetsComing soon
- Word problemsComing soon
- Mixed PracticeComing soon
- Multi-Unit ProblemsComing soon
- ReviewComing soon
- Practice testComing soon
- Answer keyComing soon
Interactive practice
Quizzes, typed answers, and flashcards for this unit — coming soon.
- Coming soon
Quiz
Multiple-choice questions with instant feedback
- Coming soon
Typed practice
Type answers and check them
- Coming soon
Flashcards
Vocabulary and key facts
- Coming soon
Mixed quiz
Harder mixed review for this standard