Syllabus

 

Week-By-Week Syllabus

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AG = First Course in Numerical Methods  CVL1  CVL2

Week

Lecture

Notes

1
Aug 26  Introduction
Aug 28

 Errors and Examples
 AG 1-2   
 AG 1-2 CVL 1.4 
 FpFacts, Kahan, Taylor, ShowDD

2
Sep 2 Polynomial Interpolation
Sep 4 Polynomial Interpolation
 AG 10    
InterpV, HornerV, ShowV, ShowMatPolyTools, ShowRungePhenom

ShowN, InterpN, InterpNRecur, HornerN, ShowCheby
  P1 Due Sept 5

3
Sep 9  Polynomial Interpolation
Sep 11  Piecewise Polynomials
 
AG 11 
 ShowMatSplineTools, ShowSplineErr, ShowCompleteSpline, PiViaSpline

4
Sep 16  Cubic Splines
Sep 18  Cubic Splines
 CVL3  pwLstatic, pwLadapt, ShowpwL
Noisy, pwC, pwCeval, ShowpwC, Showpchip, ShowpchipSlope
 P2 Due Sept 19

5
Sep 23  Trigonometric Interpolation
Sep 25  Best Approximation
CSmatrix, ShowCS, CSinterpSlow, CSinterpFast, ShowCSinterp, CSeval, ShowChebychevPoly, ShowLegendrePoly
 AG 12
 

6
Sep 30  Fast Transforms
Oct 2  Matlab's Quadrature Tools
 AG 13       QNC, NCWeights, ShowNCIdea,ShowNCError
CompQNC, ShowCompQNC, AdaptQNC, ShowAdapts
 P3 Due Oct 3

7
Oct 7  Newton Cotes Rules
Oct 9  Gauss Rules
 AG 15,  CVL4
CompSimpson, AdaptSimpson, ShowSimpson
 GLWeights QGL, GLvsNC ShowQuads, ShowGK, ShowQuadGK

8
Oct 14  Fall Break
Oct 16  Quadrature Topics
 
 
  P4 Due Oct 17
  MIDTERM EXAM CUT-OFF  

9
Oct 21  Review via P.O.D.s
Oct 23   In-Class Midterm
 
 
 AG 16.1-16.6,  CVL9

10
Oct 28  IVPs and Euler's Method
Oct 30  Runge-Kutta methods
ShowRabbits
Kepler, ShowMatIVPTools, RKStep, FixedRK, ShowRK
 

11
Nov 4  Multistep Methods
Nov 6  Stiff Problems
ShowEvent, ShowMarkov
ABStart, ABStep AMStep, FixedAB, FixedPC, PCStep,RKStep, ShowAB, ShowPC, ShowEverything
  P5 Due Nov 7

12
Nov 11   Stability/Implicit methods
Nov 13   Stiff problems
 AG 16.7-16.8
ShowLorenz, ShowChem, ShowStiff, ShowFlame
 

13
Nov 18   1D BVPs
Nov 20   1D BVPS
ShowMultipleEvents, ShowTwoPtBVP
Prof Bindel's Lecture
   P6 Due Nov 22

14
Nov 25   Poisson Equation
Nov 27   Thanksgiving
 Show121Props
 
 

15
Dec 2   Poisson/ POD review
Dec 4   POD Review
ShowPoisson, FastPoisson, FastPoissonSolve
ShowOtherRegions
  P7 Due Dec 5

 

FINAL EXAM: 

Friday, December 12, 9:00-11:30 AM in Rockafeller 122.Your leaving-for-the-holidays travel arrangements must respect this date.