In this program
- First-order equations and classification
- Separation of variables
- Classical PDEs in one space dimension
Classical PDEs in one space dimension
Partial differential equations · Standard syllabus
Heat equation on a finite rod; Fourier sine/cosine series solutions
Objectives
- Heat equation on a finite rod; Fourier sine/cosine series solutions
- Wave equation on a finite interval; d'Alembert's formula (1D)
- Vibrating string
- Heat conduction interpretations
- Steady-state solutions
- Equilibrium limits
- Inhomogeneous problems via eigenfunction expansion (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