High school Mathematics - Calculus, Trignometry, Algebra, Geometry, Linear equations, Complex numbers etc
- Awarded, Doctor of Philosophy (Ph.D.), Monash University, Melbourne, Australia.Title of the thesis: Modeling Silicon on Insulator Photonic Devices.
Master of Engineering (M.E) in Electronics Engineering by PEC University of Technology, Chandigarh, India. Title of the thesis: Optimization of Gain of Hybrid Raman/Erbium Doped Fiber Amplifier for WDM Applications.
- Awarded Bachelors of Engineering (B.E) in Electronics & Communication Engineering by Dr. B. R. Ambedkar University, Agra, India.
I worked for three semesters at the Faculty of Engineering, Monash University Melbourne Australia, in the capacity of Tutor and Laboratory demonstrator.
I took the course ENG1060 “Computing for Engineers”. The course involved introduction to MATLAB programming language, its usage in coding and problem solving; introduction to some numerical techniques such as: root findings, interpolation, numerical integration, numerical solution of ordinary differential equations etc.
My job profile included: teaching students fundamentals of MATLAB and application of basic numerical techniques to solve mathematical problems. Specific duties carried out:
- Taking Tutoring Lectures: Explaining and solving the mathematical problems, followed by coding in MATLAB.
- Laboratory Demonstrations: Assisting students with writing and debugging codes; marking and assessment.
- Marking final examination sheets.
I worked at Department of Physics, Indian Institute of Technology, Delhi (IIT-D), Hauz Khas, New Delhi-110016, India.
I worked there in the capacity of Project Associate.
Research project title - “R & D on Side Polished Fiber based devices”. A Department of Science and Technology (DST), Government of India funded Project.
I worked on this project as an experimentalist. My primary job was to experimentally fabricate and characterize side polished fiber half couplers. Upon fabrication: carry out measurements and demonstrate its usage as a Gain Equalization filter for EDFA (C-band) and as a temperature sensor.
Publicationas and awards
- Publishe d several papers in top scientific journals, including IEEE and Optical Society of America.
- Presented research work at several scientific conferences.
- Monash Graduate Scholarship (MGS) for pursuing PhD at Monash University, Melbourne, Australia.
- Best device oriented paper award at International conference on photonics, Hyderabad, India.
- Scholarship from MHRD, India to pursue Masters of Engineering.
Experience: 4 years
Attention: year 11 and 12 - Mathematics students
Usually, students in year 11 and 12 struggle with mathematics, particularly, solving worded problems and multi-stage modelling questions. Most students can learn the fundamentals of: trigonometry, algebra, geometry, differential and integral calculus, solving linear equations, complex numbers, sketching graphs etc. However, they struggle to apply the concept to solve real world physics problems, so-called worded problems, which are usually multi-stage problems.
Such worded problems are considered to be the most difficult questions by the students. Moreover, if the student plan to pursue engineering or science at university, a mastery on the use of mathematics to solve real world physics problem will greatly help in the transition from school to college. Needless to say, it leads to deeper appreciation of mathematics and science.
Who am I
I am a PhD graduate of the department Electrical and Computer Systems Engineering, Monash University, Clayton, Australia. I have worked extensively on the mathematical modelling and problem solving. Precisely, during my PhD, I worked on the modelling of Photonic devices. Starting from the fundamental device physics, the mathematical model was developed, which was primarily a set of coupled simultaneous ordinary differential equations, partial differential equation. These sets of equations were then numerically solved and simulated using MATLAB, followed by analysis of the obtained results.
I have also tutored first year engineering students at Monash University for three semesters. I have tutored the course ENG 1060, which is primarily an introduction to basic numerical techniques, modelling and problem solving using MATLAB. Numerical techniques covered were: Gauss elimination, solution of non-linear equations, optimisation, curve fitting, numerical calculus, ordinary differential equations.
My personal preference is to mentor the student continuously over a longer period. This allows me the opportunity to: assess the strengths and weaknesses of the student; tailor the approach to tackle the difficult part of the curriculum; accelerate or de-accelerate as the situation demands. Further, It allows me to draft the 'study plan' in consultation with the student keeping the school curriculum in mind. This enables us to plan for: regular revision of the past work; accelerate and get ahead of the school; plan for the upcoming class tests or future exam preparations etc.
One-off lesson: $18 (USD)/hour
One month plan: $15 (USD)/hour