Description

Mathematical modeling camps occur across the world and aim to provide participants with a hands-on experience of mathematical modeling under the guidance of an experienced instructor. The Camp is designed to promote a broad range of problem-solving skills, such as mathematical modeling & analysis, scientific computation & critical assessment of solutions. We will run such an event at KAUST during WEP 13 in collaboration with OCCAM - University of Oxford. The camp will last 4 days, and there will be three mentors, each looking after a team of six students (meaning we can host up to 18 students). The format will be as follows: on the first morning, the three mentors present real-world problems. The student attendees are then formed into problem-solving groups. These groups, under the watchful eye of the mentor, work on the problems for the remaining days of the event. During this time they make mathematical models for the problem, simplify the models and solve them either using pen and paper, or the computer. On the final afternoon, each group returns and presents to the whole camp the progress that they have made. The students will acquire skills in mathematical modeling, problem solving and team work, as well as being able to hone their presentational skills. The event will require full-time attendance (09:00-17:00, 4 days) by the students. The students will need to have undergraduate-level knowledge of partial differential equations. It is intended for math majors, or engineers with a sufficiently strong mathematical background. Confirmed problems (so far): Problem - I: - Title: Understanding experimental measurements on particle transport in the lens of the eye - Skills required: mathematical modeling, PDEs, numerics, data fitting Problem - II: - Title: Optimization of drug delivery to tumors - Skills required: mathematical modeling, fluid mechanics, partial differential equations Problem - III - Title: Modeling trucks for transporting Canadian Logs - Skill required: mathematical modelling, Ordinary differential equations, Asymptotic analysis