Learn about Summer 2025 Pre-College opportunities at UMass Amherst. Our residential and online pre-college programs are designed to give you a preview of the UMass student experience, including college-level academics and being part of a learning community of high school students from all across the U.S. and the world. Our programs feature faculty-led courses, state-of-the-art facilities, and the #1 campus dining in the U.S., as ranked by the Princeton Review. Find out more!
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The course goal is to introduce students to the use of computing in mathematics to explore mathematical problems containing rich behaviors and including unsolved problems at the edge of research. The topics covered often have deep mathematical theory and structure, well beyond what can be covered in the summer course, but have interesting behavior that can be discovered through simulation.
We will start by learning Python skills, which will be immediately applied to exploring problems. We will explore new mathematical concepts working together in small groups, spending one or two day per topic, covering the background but quickly diving into simulations. Students will observe the behavior, formulate their own questions and computational experiments, and show off their ideas to the rest of the group.
Problems explored include the study of dynamical systems, probability, mathematical physics, and math biology, seeing examples of simple systems that exhibit chaotic behavior as well as extremely complex systems that exhibit formation of coherent patterns.
Students should have a laptop to work on, and do not need previous programming experience.
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This course is offered at the UMass Amherst campus as a residential program. Local students may apply to attend as a commuter.
Cost and Session Information
Dates: June 29 – July 12, 2025
Two-Week Intensives: $3,907 residential / $2,262 commuter
*Program fees listed above include tuition and room & board; materials and software may be required.
*All programs require submission of $45 application fee.
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