PROJECT GALLERY

Bond Angles of Theoretical Electron Domain Geometries in Higher Dimensions

In this project I developed a vector-based mathematical model of a central atom and surrounding electron domains in ideal electron...

Gavin

Apr 28, 20191 min read

Python Project: Interactive Educational Programs

I designed 38 interactive questions for the course MATH 119: Mathematics of Finance 2 at Centennial College while I worked as a Math...

Gavin

Apr 20, 20191 min read

C Project: Fire Emblem Stats Calculator

This project was written entirely in the University of Waterloo Seashell environment. It uses a binomial probability distribution to...

Gavin

Jan 6, 20191 min read

Python Project: Chemical Equation Balancer

In this Python project, I designed a function to balance a chemical equation by constructing a matrix based on linear equations that...

Gavin

Nov 4, 20181 min read

Python 3 by 3 Matrix Eigenvalue Solver

In this project I used row expansion formulas and defined a Polynomial class to determine the eigenvalues of any matrix with size 1 by...

Gavin

Apr 22, 20181 min read

Racket Primality Testing and Integer Division Project

In this personal project I used my experience in Racket to write code for testing for standard, Fermat and Rabin-Miller prime integers. I...

Gavin

Apr 20, 20181 min read

Determining Possibility for Division by 0 in Subfields of R

In this research project I investigated fields contained in R which use the same operations, in which division by 0 by definition is an...

Gavin

Jan 9, 20181 min read

Biology Simulation: Determining the Effect of Changing Population Size on the Rate of Evolution

This was my internal assessment for IB HL Biology. I represented evolution of the peppered moth experimentally by recursively entering...

Gavin

Jan 8, 20181 min read

Chemistry Simulation: Determining the Effect of Changing Activation Energy on the Reaction Rate

This project was my internal assessment for IB HL Chemistry. I used Excel and independently derived a representative probability...

Gavin

Jan 8, 20181 min read

Testing the accuracy of an estimation for the sum of n consecutive natural numbers raised to the k

This was my Internal Assessment for IB SL Mathematics, in which I independently derived and tested a formula for determining an...

Gavin

Jan 8, 20181 min read

Properties of Arithmetic Pyramids

This is a research paper I wrote for fun a long time ago exploring the properties of pyramid-shaped structures resulting from adding...

Gavin

Jan 8, 20181 min read

Exponent Equality proof

Interesting proof showing that 2 and 4 are the only natural numbers that, when inverted as bases and exponents, yield the same numerical...

Gavin

Jan 8, 20181 min read

Gavin Orok

Math Project Blog

Bond Angles of Theoretical Electron Domain Geometries in Higher Dimensions

Python Project: Interactive Educational Programs

C Project: Fire Emblem Stats Calculator

Python Project: Chemical Equation Balancer

Python 3 by 3 Matrix Eigenvalue Solver

Racket Primality Testing and Integer Division Project

Determining Possibility for Division by 0 in Subfields of R

Biology Simulation: Determining the Effect of Changing Population Size on the Rate of Evolution

Chemistry Simulation: Determining the Effect of Changing Activation Energy on the Reaction Rate

Testing the accuracy of an estimation for the sum of n consecutive natural numbers raised to the k

Properties of Arithmetic Pyramids

Exponent Equality proof