Published here are the notes from my studios for Math 2552 (Differential Equations, SP24 semester). Most of these notes are handwritten, so I apologize for any illegibility. If you have any questions about notation/content, feel free to email me.

Studio Notes (Spring 2024)

[January 8] (calculus review)
[January 10] (fixed points, direction fields, intro to diff eq)
[January 17] (classification, separation of variables, integrating factor)
[January 22] (modelling problems, existence and uniqueness theorem, Quiz 1)
[January 24] (autonomy, homogeneity, population growth problem)
[January 29] (systems of differential equations, 2nd order DE, phase portraits)
[January 31] (3x3 system of differential equations)
[February 5] (complex eignvalues, repeated eigenvalues, more phase portraits)
[February 14] (shifted systems, double salt tank problem)
[February 21] (homogenous second order linear differential equations)
[February 26] (RLC-series circuits)
[February 28] (method of undetermined coefficients)
[March 4] (damping, forcing, oscillators)
[March 6] (method of variation of parameters)
[March 13] (laplace transforms pt 1)
[March 27] (laplace transforms pt 2)
[April 3] (dirac delta function, convolution)
[April 8] (linearization of non-linear systems)
[April 10] (more nonlinearization)
[April 17] (euler's method)
[April 22] (improved euler's method, runge-kutta)

Test Reviews

[Quiz 1 Review (fa23)], [Quiz 1 Review (sp24)]
[Quiz 2 Review (fa23)], [Quiz 2 Review (sp24)]
[Quiz 3 Review (fa23)], [Quiz 3 Review (sp24)]
[Quiz 4 Review (fa23)], [Quiz 4 Review (sp24)]
[Quiz 5 Review (fa23)], [Quiz 5 Review (sp24)]
[Midterm 1 Review (fa23)], [Midterm 1 Review (sp24)]
[Midterm 2 Review (fa23)], [Midterm 2 Review (sp24)]
[Final Review (fa23)], [Final Review (sp24)]

Miscellaneous

[Guide to Improved Euler Method]
[Differential Equations textbook (Brannon & Boyce, 3rd edition)]