Updated 05 Mar 2019
GETTING STARTED WITH MATLAB
Matlab Basics
XY Plots
Advanced XY plotting techniques
Creating a simple GUI with input boxes: SHM and the Sine Function
Creating and Saving Sounds: BEATS
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DATA ANALYSIS and MATHEMATICAL ROUTINES
Curve Fitting: Least squares fit to a straight line for linear, power and exponential relationships
Curve Fitting: Weighted least squares fit for uncertainties in the y-data
Solving Quadratic Equations: GUI and Function call
Stationary Points of a function: Function to find the points of maximima and minima of a curve
VECTOR ANALYSIS: coordinates, vector algebra, dot product, cross product, [3D] rotation of axes
DIFFERENTIAL CALCULUS: 1st and 2nd derivatives; gradient; divergence; curl; Laplacian
INTEGRATION: Numerical computation of one-dimensional integrals
INTEGRATION: Estimate the value of the integral of the function y = f(x) between x = a and y = b
INTEGRATION: Numerical computation of two-dimensional integrals - double or surface integrals
SINC FUNCTION: Characteristics of the unnormalized sinc function
BESSEL FUNCTION OF THE FIRST KIND: Fraunhofer Diffraction from a circular aperture
SOLIDS OF REVOLUTION: [2D] and [3D] plots and an animation
Finite Difference Time Development Method: [1D] Scalar Wave Equation
PERCOLATION THEORY: A Matlab simulation of site percolation
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MECHANICS / MECHANICAL SYSTEMS
Horizontal Motion with Resistance: drag and viscous drag force
Analytical and Numerical Analysis of Vertical Motion with Resistance: drag and viscous drag force, falling, drag coefficient
Animation of a vibrating spring: time variation of KE and PE
Animation of the Slingshot Effect
Physics of bungee jumps and bridge swings
Animation of the free fall vertical motion of an object: trajectory, displacement, velocity and acceleration time graphs
Satellite Motion GUI used for inputs. Finite difference method used to calculate a detailed description of the satellite motion
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THERMAL PHYSICS
Thermal Conduction: Temperature gradient and energy flux calculations through a composite rod
Blackbody Radiation
Second Law of Thermodynamics - arrow of time: animation for the motion of gas molecules released from a corner of a room
Newton's Law of Cooling: CSI Murder - time of death / Coffee cooling problem / First Order Differential Equations
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ELECTROMAGNETISM OPTICS ELECTROMAGNETIC WAVES
HOME PAGE: Computational OPTICS and propagation of electromagnetic waves
Electric field and electric potential due to various charge distributions
Electric field and electric potential: Line Integral of the electric field
Electric field and electric potential: Method of Images
Electric field and electric potential: Gauss's Law and Electric Flux
Electrostatics: Diververgence / Curl / Radial electric Fields
Numerical solution of [2D] Poisson's and Laplace's equations: introduction and examples
Numerical solution of [2D] Laplace's equation: Two concentric conductive squares
Numerical solution of [2D] Poisson's and Laplace's equations: Examples using Dirchlet and Neumann boundary conditions
Animation: Electromagnetic Induction - induced current as magnet moves through a coil
Animation: DC Motor - Armature current, torque and rotation
Motion of charged particles through magnetic and electric fields: Numerical and graphical analysis
Electromagnetic Induction: Faraday's Law / Mutual Inductance / Self Inductance
Static Magnetic Fields: Divergence / Curl / Biot-Savart Law
ANIMATIONS: GIF and AVI FILES: POLARIZED LIGHT: Linear, Circular, Elliptical John Sims Biomedical Engineering Department, Universidade Federal do ABC, Brazil
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OSCILLATIONS
Creating a simple GUI with input boxes: SHM and the Sine Function
Physics of bungee jumps and bridge swings
Forced vibration of a string: RESONANCE - animations of a vibrating string due a vibrator
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WAVE MOTION
ANIMATIONS: GIF and AVI FILES: [1D] Travelling Harmonic Transverse Wave John Sims Biomedical Engineering Department, Universidade Federal do ABC, Brazil
WAVE MOTION ANIMATED GIFS: Travelling, Transverse, Longitudinal Waves
BEATS: Superposition of two sinusoidal waves of slightly different frequencies: Creating and saving sounds
DOPPLER EFFECT: [2D] simulation for a moving source with sound effects and creation of animated gifs
Travelling waves along a string: Solving the wave equation for the transmission of energy along a string
Refraction: Animations of a plane wave incident upon an interface separating two different medium
Normal modes for air columns of varying cross-sectional area - musical instruments
Animated solutions of the [1D] Scalar Wave Equation using the Finite Difference Time Develo
Create scripts with code, output, and formatted text in a single executable document.
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