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bkostadi

Boyan Kostadinov

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Workshop on Computational Modeling
CITE workshop, June 2023.
Discovering Kepler’s Third Law from Planetary Data
Short Presentation at the 20th City Tech Annual Poster Session
Critical Thinking and Problem Solving Strategies
Developed by the Instructional Support Committee, Mathematics Department, New York City College of Technology, CUNY
Data Analysis Using R
CUNY CITE 2022
A Lesson on Modern Data Analysis
CUNY CITE Project 2022
Interactive Maps
Turtle Graphics
An issue with Turtle Graphics in R Markdown and Quarto document.
Project Ideas for DIMACS Modules
Project Ideas for DIMACS Modules
Implementing in R a Generalized Hill-Keller Model Fitted to Usain Bolt’s Olympic Data
This project presents a general approach to solving numerically an ODE for velocity, then interpolating the discrete numerical solution to obtain a continuous velocity function, which can be integrated numerically to obtain a continuous distance function that can be fitted to time and distance data by minimizing the sum of squared residuals and using a random search algorithm to find the optimal parameter values.
Computational Modeling with Real-World Data for Prospective Math Teachers
This presentation describes computational modeling projects, which involve using real-world data and computing with R. We use dynamic R Markdown documents in RStudio for unifying plain text narrative, mathematical typesetting with LaTeX and computing and visualizations in R. We showcase a number of projects such as modeling oil spills and tumors. The projects have been designed to engage prospective and in-service mathematics teachers in exploring computational modeling and problem-solving. The projects will be piloted with prospective teachers and high-school students as part of our preparation and design of a Computer Science Teaching Certificate Program for mathematics teachers.
Estimating the Area of a Tumor
A circular lung nodule needs to be removed and the surgeon needs to know how much tissue to remove. The goal of this project is to estimate the area of the tumor from the X-ray image of the tumor shown earlier.
Deepwater Horizon Oil Spill
The objective of this project is to use the estimated flow rates over the 87-day oil spill to estimate the total volume of the leaked oil.
Using RStudio Cloud as a Computational Platform
In this presentation, we discuss creating a virtual classroom in the RStudio Cloud as a workspace where students can use both R and Python in R Markdown.