Partial Differential Equations

APM | 384 | Partial Differential Equations | homework | 

FACULTY OF APPLIED SCIENCE AND ENGINEERING University of Toronto APM384F Partial Diﬀerential Equations Midterm Exam II November 14th, 2012 Examiner: Nicholas Hoell Duration: 50 minutes NO AIDS ALLOWED. Total: 60 marks Family Name: (Please Print) Given Name(s): (Please Print) Student Number: FOR MARKER’S USE ONLY Problem 1: /15 Problem 3: /15 Problem

APM | 384 | Partial Differential Equations | homework | FACULTY OF APPLIED SCIENCE AND

Some Extra Credit Problems Due No Later Than Beginning of Class, November 7 Do as Many or as Few Problems as You Wish Only Complete Problems Will be Graded 1. This problem concerns a particular functional arising in physics called an “action inte- gral”. We start with a real-valued function of position and velocity, called L ( q ( t ) , ˙ q ( t )) which has the units o

APM | 384 | Partial Differential Equations | homework | Some Extra Credit Problems Due

Topics for the Final Exam APM 384 Partial Diﬀerential Equations Autumn 2013 Here is a list of concepts you should be familiar with for the ﬁnal exam. 1. Deﬁnitions and basic classiﬁcation of diﬀerential equations: You should be familiar with the diﬀerence between ordinary and partial diﬀerential equa- tions (ODEs and PDEs) and know what the order of a diﬀer

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