Differential Equations

First and second-order ODEs, systems of differential equations, Laplace transforms, and mathematical modeling of physical systems.

Course Overview

Textbook

TBD (Zill or Boyce & DiPrima)

Chapters

TBD

Sections

TBD

Prerequisites

Calculus II, Linear Algebra

Target

Foundation for PDEs, control systems, mathematical modeling

Status

Planned

Chapters will be scaffolded when this course becomes active.

Why This Course

  • Control systems — feedback loops, stability analysis

  • Circuit analysis — RLC circuits are second-order ODEs

  • Population modeling — logistic growth, epidemiology (SIR models)

  • Heat transfer — cooling/heating governed by ODEs

  • Networking — queueing models, congestion dynamics