In this program
- First-order and planar systems
- Nonlinear dynamics
- Discrete dynamical systems
First-order and planar systems
Dynamical systems · Standard syllabus
Autonomous ODEs
Objectives
- Autonomous ODEs
- Phase lines
- Bifurcations in one-dimensional systems (saddle-node, transcritical)
- Planar linear systems: classification via eigenvalues
- Phase plane analysis and nullclines
- Liapunov functions (introduction)
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