M 371 - Alexiades - Spring 2024
ASSIGNMENTS
Labs are due by midnight of Due date , late submissions will incur a penalty.
Assigned Due Assignment Topic
Matlab brief Matlab tutorial
Lab 0 Computing environment and How to submit your work
Class1: T Jan 23 M Jan 29 Lab 1 Taylor expansion
Class2: R Jan 25 R Feb 1 PS1   Taylor expansion, machine arithmetic PS
Class5: T Feb 6 T Feb 13 PS 2 roots PS
Class5: T Feb 6 M Feb 19 Lab 2 Finding roots: Bisection and Newton
Class6: R Feb 8 R Feb 22 PS 3 linear systems PS
Class9: T Feb 20 W Feb 28 Lab 3 linear systems lab
Class9: T Feb 20 T Feb 27 PS 4 nonlinear systems PS
Class10: R Feb 22 T Feb 27 PS 5 numerical differentiation PS
Class10: R Feb 22 M Mar 4 Lab 4 numerical differentiation
Class13: T Mar 5 T Mar 19 PS 6 interpolation PS
Class13: T Mar 5 R Mar 21 PS 7 interpolation and differentiation PS
Class13: T Mar 5 W Mar 20 Lab 5 Interpolation
Class15: T Mar 19 T Mar 26 PS 8 quadrature PS
Class16: R Mar 21 S Mar 30 Lab 6 Quadrature
Class19: T Apr 2 T Apr 9 PS 9 ODE solvers PS
Class19: T Apr 2 S Apr 13 Lab 7 ODE solver
Class23: T Apr 16 T Apr 23 PS 10 Least Squares fitting PS
Class23: T Apr 23 T Apr 30 PS 11 Fourier analysis
Class23: T Apr 23 S May 4 Lab 8 FFT
Assigned Due Assignment Topic
Lecture Notes:
  • Calculus review
  • roundoff
  • Roots:   part-1  part-2
  • Linear Algebra:   LA-1.basics   LA-2.conditioning   LA-3.norms   LA-4.condNumber
  • nonlinear_systems   num-differentiation
  • Interpolation:   p1-4.   p5-6.   p7-8.errors   p9-10.
  • Quadrature:   p1-4.   p5-8.   p9-13.
  • Numerical ODEs:   p1-4.   p5-8.   p9-12.   p13-15.   p16-20.  
  • Approximation:   p1-5.   p6-9.   LS-fitting  

    Quizes:Quiz 1:   Thu Feb 15 : review     Quiz 2:   Thu Apr 11 : review for Quiz2
    Exams:   Midterm:   Thu Feb 29 : review for midterm
    Supplementary material:
  • series-convergence Speed
  • Gnuplot basics
  • Matrix Factorizations from Strang LA book
  • interpolation in 1D talk by John Burkardt at ORNL, 2012 (see pages 63-82)
  • Interpolation is basis of Reed-Solomon codes Quanta Mag. Sep.2022,   see Reed-Solomon error correcting codes
  • High order Gauss-Legendre Quadrature SIAM News, 2015
  • solving ODEs a nice brief survey of methods for non-stiff and stiff ODEs
  • Hybrid modeling design patterns J.Math.Industry, Mar.2024 excellent ← NEW
  • AI now beats humans at basic tasks..., Apr.2024: meteoric rise in capabilities... and some issues... ← NEW
  • Some basic Matlab: commands/functions I/O functions   a free Matlab book
                        Calendar: Spring 2024    (if not aligned, use Firefox or Opera or Edge browser)
     
              January                February                  March
       Su Mo Tu We Th Fr Sa    Su Mo Tu We Th Fr Sa    Su Mo Tu We Th Fr Sa
                                            1  2  3                    1  2
                                4  5  6  7  8  9 10     3  4  5  6  7  8  9
                               11 12 13 14 15 16 17    10 --Sprg_Break-- 16
             23 24 25 26 27    18 19 20 21 22 23 24    17 18 19 20 21 22 23
       28 29 30 31             25 26 27 28 29          24 25 26 27 28 29 30
    
                          April                    May
                  Su Mo Tu We Th Fr Sa     Su Mo Tu We Th Fr Sa
                      1  2  3  4  5  6               1  2  3  4
                   7  8  9 10 11 12 13      5  6  7  8  9 10 11
                  14 15 16 17 18 19 20     12 13 14 15
                  21 22 23 24 25 26 27
                  28 29 30
    
    Cv
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