Differential Equations
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How do populations grow? How do viruses spread? What is the trajectory of a glider? Introduce yourself to the modelling cycle which includes: analyzing a problem, formulating it as a mathematical model, calculating solutions and validating your results.
More resources on Differential Equations
Wolfram MathWorld
MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler (MIT RES.18-009)
Short video lessons on ordinary differential equations, from first-order and second-order equations to Laplace transforms, linear systems, eigenvalues and matrix exponentials, alongside demonstrations of numerical solution with the MATLAB ODE suite. Includes 68 videos pairing analytical methods with practical computation.
Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra (MIT RES.18-008)
Third part of a 1972 lecture series, covering complex variables, ordinary differential equations and linear algebra at the sophomore level. Provides 20 lecture videos (about 11.5 hours), study guides, supplementary notes and problem sets with solutions. Assumes single and multivariable calculus.
Differential Equations (MIT 18.03SC)
Modeling with ordinary differential equations and solving them: first-order equations, linear second-order equations and oscillations, Fourier series, Laplace transforms, and linear and nonlinear systems in the phase plane. Includes 72 lecture and recitation videos, course notes, and problem sets and exams with solutions.
Introduction to Differential Equations
Learn differential equations: explore methods for solving, modeling, and analyzing them. Taught by the Khan Academy Team.
Differential Equations
Learn differential equations with Paul Dawkins' comprehensive online course! Covers techniques for solving various DE types.