STEM / applied
Classical mechanics · Undergraduate · Physics
Learning objectives from the Classical mechanics syllabus, grouped by unit. Click an objective for study materials.
Learning objectives
Click an objective for study materials.
Newtonian mechanics advanced
- Constraints and generalized coordinates — Constraints and generalized coordinates
- Central force problems and effective potential — Central force problems and effective potential
- Orbits: Kepler laws and scattering — Orbits: Kepler laws and scattering
- Rigid body dynamics and Euler equations — Rigid body dynamics and Euler equations
- Non-inertial frames and fictitious forces — Non-inertial frames and fictitious forces
Lagrangian mechanics
- Principle of least action and Euler–Lagrange equations — Principle of least action and Euler–Lagrange equations
- Conserved quantities and Noether's theorem (intro) — Conserved quantities and Noether's theorem (intro)
- Small oscillations and normal modes — Small oscillations and normal modes
- Hamilton's principle for holonomic systems — Hamilton's principle for holonomic systems
- Legendre transform to Hamiltonian mechanics — Legendre transform to Hamiltonian mechanics
Hamiltonian mechanics
- Canonical equations and phase space — Canonical equations and phase space
- Poisson brackets and constants of motion — Poisson brackets and constants of motion
- Canonical transformations (introduction) — Canonical transformations (introduction)
- Integrable systems and action–angle variables (overview) — Integrable systems and action–angle variables (overview)
- Chaos and sensitivity in nonlinear systems (intro) — Chaos and sensitivity in nonlinear systems (intro)
What each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Newtonian mechanics advanced
Constraints, central forces, rigid bodies, and non-inertial frames
Coming soon - Lagrangian mechanics
Action principles, Euler–Lagrange equations, and small oscillations
Coming soon - Hamiltonian mechanics
Phase space, canonical equations, and integrability
Coming soon
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$1,162 · Classical mechanics · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle.