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16-18 August 2016

Assoc. Prof. Dr. Ali H. M. MuridCentre for Industrial and Applied Mathematics (UTM-CIAM),

Ibnu Sina Institute for Scientific and Industrial Research,

Universiti Teknologi Malaysia@) 2016 AP Dr Ali H.M. Murid 1

WorkshopTeaching and Research

using Mathematica

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Outline of Presentation

• Introduction

• Vector Field

• Falling Bodies

• Integration

• Conformal Mapping

• Fluid Flow

• Aerofoil

• Mathematical Modelling of Surface Decontamination

by Clay Solution

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Introduction (Mathematica User for 23 Years)

• Started using Mathematica V4 in 1993 while doing my

PhD work.

• Did not undergo any formal training in Mathematica

(through classes, courses, workshops).

• Learn Mathematica in the course of doing research and

teaching.

• Read manual and books on Mathematica.

• PSZ Lestari search on Mathematica: Approx. 150 titles

• Look up information in the Mathematica website

• Google for the information

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VECTOR FIELD: How to plot vector field using Mathematica?

• Google the question.

• Look at a suggestion.

• Use Mathematica.

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FALLING BODIES

• Mathematical modelling of freely falling bodies

• Mathematica programme

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INTEGRATION

• Integration along branch cuts

• Mathematica programme for integrations

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CONFORMAL MAPPING

• A conformal mapping, also called a conformal map,

conformal transformation, angle-preserving

transformation, or biholomorphic map, is

a transformation that preserves local angles. An analytic

function is conformal at any point where it has

a nonzero derivative. Conformal mapping is extremely

important in complex analysis, as well as in many areas

of physics and engineering.

• Mathematica programme for conformal mapping

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APPLICATIONS OF CONFORMAL MAPPING

• Fluid Flow (Note1, Mathematica Programme 1)

• Aerofoil (Note 2, Mathematica Programme 2)

• Electrostatics

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Mathematical Modelling of Surface Decontamination

by Clay Solution

• Mathematical model

• Mathematica Programme 1

• Mathematica Programme 2

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Presenter 2: Lee Khiy Wei (M.Sc. Student by research)

• Basic Features of Mathematica

• Define Array, Matrix, and Solve linear system

• Some properties of matrices

• Factor, Expand and Simplify

• Some special functions

• Differentiation and integration

• Define Function and Plot

• Solving ODE

• Manipulate the parameter

• Getting coordinates from graph picture

• Loops

• Construct program (involve Do loop)

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Presenter 3: Amir Syafiq Syamin Syah (Ph.D. Student)

• Ordinary Differential Equation (ODE)

• System of ODEs

• Partial Differential Equation (PDE)

• System of PDEs

• Manipulate: System of ODEs

• Parameter Estimation: ODE Model

• Application: Wastewater Treatment Process of Oxidation

Pond

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Presenter 4: Ummu Tasnim Husin (Ph.D. Student)

• How to do simple integration

• Classifications of Integral Equations

• Numerical quadrature (integral) formulas

• Nystrom method with Trapezoidal rule

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Thank You

&

Have a great workshop!

13@) 2016 AP Dr Ali H.M. Murid