12-267/Register of Good Deeds

DBN: Classes: 2012-13: 12-267 / Navigation Additions to this web site no longer count towards good deed points. # Week of... Notes and Links 1 Sep 10 About This Class.  Monday: Introduction and the Brachistochrone.  Tuesday: More on the Brachistochrone, administrative issues. Tuesday Notes.  Friday: Some basic techniques: first order linear equations. 2 Sep 17  Monday: Separated equations, escape velocities. HW1.  Tuesday: Escape velocities, changing source and target coordinates, homogeneous equations.  Friday: Reverse engineering separated and exact equations. 3 Sep 24  Monday: Solving exact equations, integration factors. HW2.  Tuesday: Statement of the Fundamental Theorem. Class Photo.  Friday: Proof of the Fundamental Theorem. 4 Oct 1  Monday: Last notes on the fundamental theorem. HW3.  Tuesday Hour 1: The chain law, examples of variational problems.  Tuesday Hour 2: Deriving Euler-Lagrange.  Friday: Reductions of Euler-Lagrange. 5 Oct 8 Monday is thanksgiving.  Tuesday: Lagrange multiplyers and the isoperimetric inequality. HW4.  Friday: More Lagrange multipliers, numerical methods. 6 Oct 15  Monday: Euler and improved Euler.  Tuesday: Evaluating the local error, Runge-Kutta, and a comparison of methods.  Friday: Numerical integration, high order constant coefficient homogeneous linear ODEs. 7 Oct 22  Monday: Multiple roots, reduction of order, undetermined coefficients.  Tuesday: From systems to matrix exponentiation. HW5. Term Test on Friday. 8 Oct 29  Monday: The basic properties of matrix exponentiation.  Tuesday: Matrix exponentiation: examples.  Friday: Phase Portraits. HW6. Nov 4 was the last day to drop this class 9 Nov 5  Monday: Non-homogeneous systems.  Tuesday: The Catalan numbers, power series, and ODEs.  Friday: Global existence for linear ODEs, the Wronskian. 10 Nov 12 Monday-Tuesday is UofT November break. HW7.  Friday: Series solutions for $y'=f(x,y)$. 11 Nov 19  Monday: $\pi$ is irrational, more on the radius of convergence.  Tuesday (class): Airy's equation, Fuchs' theorem.  Tuesday (tutorial): Regular singular points. HW8.  Friday: Discussion of regular singular points.. 12 Nov 26  Monday: Frobenius series by computer. Qualitative Analysis Handout (PDF).  Tuesday: The basic oscillation theorem. Handout on the Frobenius Method. HW9.  Friday: Non-oscillation, Sturm comparison. 13 Dec 3  Monday: More Sturm comparisons, changing the independent variable.  Tuesday: Amplitudes of oscillations. Last class was on Tuesday! F1 Dec 10 F2 Dec 17 The Final Exam (time, place, style, office hours times) Register of Good Deeds Add your name / see who's in!

Important. The good deed points are extra, bonus, a treat. If you got some you should be happy. But if you got none, so what? You are still eligible to get an A+ in this class just going the normal routes.

User id	Deed or deeds	All contributions	Points
Diningeachox	-	show	-
Dongwoo.kang	link re. matrix inversion; scanned solutions of HW6, HW8, HW5 (on Dec 13); typo correction; "differential equations study guide" (external source)	show	9
Eyjaffe	Video note; 2-3 typo corrections	show	2
Gordonj	-	show	-
Ilan	-	show	-
Jonathanrlove	link to mirrored cat	show	1
Ktnd3	Scanned notes to almost all classes; more	show	25
Mathstudent	Misnamed scanned solutions of 3 HW assignments	show	8
Mianwei	-	show	-
Naranjoa	-	show	-
Samer	"ODE to Joy" (last minute)	show	10
Simon1	2 links re. CoV; Sep 10 - Oct 30 class notes; two "subject summaries"	show	20
Syjytg	Unformatted Brachistochrone notes; two video comments	show	2
Tkojar	-	show	-
Twine	MANY wiki edits; 12-267/Derivation of Euler-Lagrange; 12-267/Existence And Uniqueness Theorem; 12-267/Numerical Methods; 12-267/Topic List; partial HW1, HW2, HW3, HW4 solutions; links to past exams; link re. mirrors	show	25
Vsbdthrsh	External E-L link; 3 scanned section summaries; partial HW4 solutions; HW5, HW6, HW7, HW8 solutions	show	20

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