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Introduction.pdf: the overall introduction and motivation to the course as presented in class

Unit 1.pdf: basic numerical concepts

     •      variables and vectors (10thElement.m)

     •      plotting and scripts (sine.m, linlog.m, loglog.m, errbars.m)

     •      numerical derivatives (derivation.m, derivation2.m)

     •      numerical integration (integration.m, integratecos.m)

     •      applications (function.m/antiderivative.m, cannonball.m, trajectories.m, harmosc.m, TullyFisher.m)

Unit 2.pdf: Matrices & advanced plotting/scripting

     •      matrices (Cgenerate.m, Aextract.m, Afindfill.m, cannonball-colored.m)

     •      plotting scalar fields (x2+y2.m, sinxcosy.m, potential2D.m, potentials2D.m)

     •      plotting vector fields (vectorfield2D.m, vectorfield3D.m, force2D.m, force3D.m)

     •      rotations (rotation2D.m, rotsin.m, rotation3D.m)

     •      functions (use-statistic.m/statistic.m, use-oplot.m/oplot.m, use-ang2rad.m/ang2rad.m,force2D-dist2D.m/dist2D.m,log3.m)

,     •      conditions (sine-positive.m, ranfraction.m, cannonball-maximum.m)

,     •      if-clause (my_abs.m, calculation.m)

,     •      while-loops (simple-log3.m, prime.m)

     •      for-loops (fibonacci.m, my_sum.m, my_find.m, fac.m, matrix.m)

     •      switch statement (weekdays.m, units.m)

     •      applications (matrices.m, gravity.m/derivative.m, MaxwellBoltzmann.m/vecmax.m, charges.m, lissajous.m,

                                   trajectory.m, dharmosc.m/dho_x.m, Lseries.m, montecarlo.m)

Unit 3.pdf: Linear systems & root finding

     •      linear systems (intersection.m, suitcase.m, cannonball-vinit.m, horse.m, unsolvable.m)

     •      root finding:

             - bisection (bisection.m, bisection-parabola.m, bisec.m, bisection-fzero.m)

             - Newton-Raphson (NewtonRaphson.m, NewRaph.m, NewtonRaphson-minimum.m)

     •      example: zero crossings of a vector (veczeros.m)

     •      applications (circle-exp.m, circuit.m, wheatstone.m, charges-unknown.m, use_equilib3m.m/equilib3m.m)

Unit 4.pdf: DATA ANALYSIS & STATISTICS

     •      mean, variance, median, and error bars (temperatures.m)

     •      probability distributions (random.m, normalise.m, cannonball-random.m, rabbit.m)

     •      fitting of data (fit3rdpolynomial.m, fitgauss.m)

     •      interpolation of data (use-linterpol.m/linterpol.m, use-p4interpol.m/p4interpol.m)

     •      I/O of data (cannonball-save.m, cannonball-load.m, GalaxiesReadWrite.m, GalaxiesPositions.m, Galaxies.dat)

     •      applications (planck-curve.m, freefall.m, jumper.m)

Unit 5.pdf: Differential equations

     •      ordinary differential equations (ODE’s)

     •      Euler methods (pressure-euler.m/euler.m, pressure-meuler.m/meuler.m)

     •      Runge-Kutta methods (pressure-rk2.m/rk2.m, pressure-rk4.m/rk4.m)

     •      systems of ODE’s (spring.m, euler2.m, rk22.m, spring-rk4.m, rk42.m)

     •      applications (decay.m, radioactivedecay.m, cosmos.m, cannonball-integration.m/rk22_2D.m)

Misc. scripts

     •      creating a movie: video.m

     •      symbolic derivative: symbolicderivative.m

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