Embedded Files
These are the lecture slides and related materials for each of the topics we covered in class. Students did the research, prepared the presentations, and gave lectures on their topics (except for Introduction), usually in teams of two.
Introduction (Ismar Volić)
Introduction (Ismar Volić)
Presentation slides:
Introduction to MATH 349 Yesterday's Math, Today's Applications, covering
teasers about the mathematics of cryptography, PageRank, machine learning, AI, quantum computing, topological data analysis, robotics, molecular knotting, and gerrymandering.
Other materials:
There are no additional materials for this material.
Modeling desease and epidemics (Leah Valentiner)
Modeling desease and epidemics (Leah Valentiner)
Presentation slides:
Modeling disease and epidemics with differential equations slides and notes.
Other materials:
Additional materials are linked in the slides.
Google PageRank algorithm (Skylar Shi and Elisabeth Sylvestre)
Google PageRank algorithm (Skylar Shi and Elisabeth Sylvestre)
Cryptography and cryptocurrency (Kamya Chakravarthi and Julia Niemann)
Cryptography and cryptocurrency (Kamya Chakravarthi and Julia Niemann)
Presentation slides:
Coming soon...
Other materials:
Coming soon...
Machine learning (Claire Cao and Ruoxi Gao)
Machine learning (Claire Cao and Ruoxi Gao)
Presentation slides:
Coming soon...
Other materials:
Coming soon...
Knots in biology and chemistry (Katie Jacques and Mia Kovan)
Knots in biology and chemistry (Katie Jacques and Mia Kovan)
Presentation slides:
Coming soon...
Other materials:
Coming soon...
Topological data analysis (Elaine Yang and Leah Valentiner)
Topological data analysis (Elaine Yang and Leah Valentiner)
Presentation slides:
Coming soon...
Other materials:
Coming soon...
Political structures (Valerie Zhu)
Political structures (Valerie Zhu)
Presentation slides:
Coming soon...
Other materials:
Coming soon...
Some other applications we will cover by the end of the semester are LLMs, gerrymandering, robotics, quantum computing, social media networks and the spread of opinion and (mis)information, and a few others.
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