STEM / applied
Partial differential equations · Undergraduate · Math
Topics
Applied boundary-value problems
- Heat conduction in a slab; insulated and fixed-end boundaries
- Wave propagation: reflections, standing waves, and resonance
- Laplace's equation in simple domains; electrostatics analogy
- Method of images or maximum principle (introductory applications)
- Numerical visualization of solutions with software
Engineering interpretation
- Deriving the heat and wave equations from physical principles (overview)
- Boundary conditions from physical constraints (fixed, free, insulated)
- Energy methods and physical meaning of eigenmodes
- Comparison of parabolic vs hyperbolic behavior in applications
- Brief introduction to numerical PDE methods (finite differences)
Pricing calculator
Choose materials, tutoring, or both — or book a single session as needed. Customize your plan on the subscribe page.
$1,162 · Partial differential equations · 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 or Venmo.