My Academic Background

Introduction

I can divide the development of my academic background into three levels. In each level my focus was mainly on Engineering, Mathematics, Mathematical Modelling and finally Programming respectively.
I started my undergrad studies with Mechanical Engineering. After obtaining my B.Sc. in mechanical engineering, due to my old passion in mathematics particularly during training for mathematics olympiad, I started another bachelor in mathematics. During my bachelor’s in mathematics and in the first nine months of my master’s degree at UBC, my main focus was on mathematics which I explained in detail below.
After leaving the UBC Harmonic Analysis Group to the “Complex Fluid Lab” in the UBC Institute Of Applied Mathematics, I officially started my journey in Programming and Mathematical Modeling. I continued that journey in my Ph.D. study at University of Toronto and after that until today.

  1. Introduction
  2. Engineering Background
  3. Mathematics Background
  4. Mathematical Modelling
  5. Programming Background

Engineering Background

  • Mechanical Engineering courseworks taken
  • Internships: Two undergrad internships at Safi Aran Company. 
  • Mechanical Engineering Thesis explained in mathematical modelling section
  1. Introduction
  2. Engineering Background
  3. Mathematics Background
  4. Mathematical Modelling
  5. Programming Background

Mathematics Background

  • Obtaining silver medal in mathematical olympiad:
  • Bachelor’s thesis: In my thesis, I was working on Banach Spaces and properties of a subspace of it called “Infinite Dimensional Banach Spaces” which is a branch of Functional Analysis.
  • Mathematics courses taken
  • Membership in UBC Harmonic Analysis Group for nine months: I started my grad studies in the Harmonic Analysis Group of the Mathematics Department Of UBC where I could find answers to many of my questions related to my research in Banach Space Theory.
  1. Introduction
  2. Engineering Background
  3. Mathematics Background
  4. Mathematical Modelling
  5. Programming Background

Mathematical Modelling

  • Fundamental Knowledge of Mathematical Modeling in both solid and fluid mechanics
  • Mechanical Engineering Bachelor’s Thesis: My thesis was about “Vibration Analysis Of Functionally Graded Material (FGM) Beams Using The Third Order Shear Deformation Theory”, which was a problem in Elasticity and Shear Deformation Theory . You can find a summary of my thesis here.
  • M.Sc. Thesis in Fluid Dynamics and Chaotic Advection: 
    • Title: “Effect of Geometry On The Behavior Of Steady Newtonian Fluid In a Multiply Connected Domain”
    • Numerical techniques applied: Spectral Methods, Compact finite differences,
    • Fluid dynamic concepts applied: Convection-Diffusion equation, Navier-Stokes equation, Biharmonic equation, Vorticity equation, 
    • Official thesis here, Updated version here 
  • Research in My Ph.D. program at University of Toronto in Computational Fluid Dynamics (CFD) field
  1. Introduction
  2. Engineering Background
  3. Mathematics Background
  4. Mathematical Modelling
  5. Programming Background

Programming Background

  • Supervisor of Matlab Labs for two years for Mech358 at UBC:
  • Scientific Computing for physicists course at University of Toronto, Topics covered: C++, Modular programming, Building tools, Debugging, Version Control, I/O, Random numbers and Monte Carlo, Super computing, Parallel programming, gpu computing, 
  • Thorough knowledge of Data Structure and Algorithms by solving hundreds of problems mainly in Python
  • Knowledge of CSS and HTML by working on my own website
  1. Introduction
  2. Engineering Background
  3. Mathematics Background
  4. Mathematical Modelling
  5. Programming Background