Merging calculus learning with mobile devices: calculus practice app

This project will partner a student intern in graduate mathematics with the development team at Mathtoons Media Inc., an educational technology company in the business of creating mobile learning applications. Learning and academic practice is migrating away from traditional textbooks and webwork and toward mobile devices. The varying physical constraints of these devices post a significant challenge to the creators of mobile digital math practice applications.

A system dynamics model of the continuum of care for HIV

Operations Research — often referred to as the “Science of Better” — uses Mathematics to improve the efficiency of everything from the operation of airlines to hospitals. In collaboration with the BC Centre for Excellence in HIV/AIDS at St. Paul’s Hospital and Merck Frosst, this project will use Operations Research to improve the treatment and care of HIV/AIDS patients in British Columbia. The delivery of care to HIV/AIDS patients is a complex process.

Risk minimizing hedging strategy of variable annuity guarantees under stochastic interest rates

A hedge is an investment position intended to offset potential losses, or in our case to pay off potential liabilities. Interest rates play an important role in hedging strategies and risk management for variable annuities and other long-term products. Financial institutions have an urgent need for practical and affordable dynamic hedging strategies. We propose a realistic interest rates model and the so-called risk minimization hedging strategy.

Parameter Uncertainty and Model Adequacy for GLMs Applied to Property/Casualty Insurance Data

Accurate forecasting is of crucial importance in managing insurance risks and ensuring a solvent and profitable operation. In recent years the property/Casualty insurance industry has adopted generalized linear models (GLMs) to improve the fit and prediction accuracy of their insurance portfolio models. Yet, the interdependence between the different insurance covers included in packaged products, such as car insurance, need to be explained in the GLM in order to include them in the predictive process.