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MATH 263

Ordinary Differential Equations for Engineers

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4Good Class
3Avg. Difficulty
5Very Interesting
5Very Useful

Professor Rating

5Amazing Prof

Prof: Mohammad Shirazi / Winter 2022

May 16, 2022

Comments on the course

A course on ordinary differential equations, focusing on engineering / physical science applications and practical methods to solve ODEs rather than pure theory.

Course Content

Introduction: defining an ODE, solutions to ODEs, direction fields + Euler's Method, general + particular solutions, initial value problems. 1st Order ODEs: integration factor, variation of parameters, separable ODEs, homogenous equations in y / x, Bernoulli's Equations, y' = G(ax + by), dynamical systems (salt concentration in an open tank, simple harmonic motion), Existence and Uniqueness Theorem, exact equations, Ricatti Equations. 2nd Order ODEs: special case where dependent variable is missing, special case where independent variable is missing, Superposition Theorem, characteristic equation method, Existence and Uniqueness Theorem, Wronskian, fundamental set of solutions, Abel's Theorem, reduction of order method, Cauchy-Euler's Equations, method of undetermined coefficients, more

Comments on the professor

Very nice and willing to help students understand. Tries to accommodate COVID by livestreaming his lectures over Zoom. Solves many example problems in class.


Practice by going to tutorials and doing the Webworks. Do not try to cram this class as equations will not be provided during exams.

Delivery: HybridGrade: A-Workload: ModerateTextbook Use: Optional
Assignment HeavyExam Heavy

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