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outline-263-2010-Fall

outline-263-2010-Fall - ORDINARY DIFFERENTIAL EQUATIONS AND...

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ORDINARY DIFFERENTIAL EQUATIONS AND LINEAR ALGEBRA (McGill University MATH-263) (Fall, 2010) Instructor: Prof. Jian-Jun Xu and Renato Calleja McGill University values academic integrity. Therefore, all students must understand the meaning and consequences of cheating, plagiarism, and other academic offenses un- der the Code of Student Conduct and Disciplinary Procedures (see www.mcgill.ca/integrity for more information).” 1. Course Syllabus (order according to the lecture notes) (a) First Order Differential Equations (Chap. 1, 2): intro, definition, geometrical interpretation; linear equation, separable equations; exact equations and integrating factors. (b) Second And Higher Order Differential Equations (Chap. 3): linear homogeneous equations, Wronskians; differential operators method; constant coefficient equations and Euler equations method of undetermined coefficients; variations of parameters; reduction of orders.
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