Girls Math Night: Difference between revisions
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'''Quaternions''' | '''Quaternions''' | ||
'''Definitions and | '''Definitions and Properties of the Trace''' | ||
'''Non-Euclidean Geometries''' | '''Non-Euclidean Geometries''' | ||
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''[https://search.library.wisc.edu/catalog/9912212362702121 Matrix Groups for Undergraduates]'' by Kristopher Tapp (Suitable for students who have taken linear algebra and a proof-based mathematics course) | ''[https://search.library.wisc.edu/catalog/9912212362702121 Matrix Groups for Undergraduates]'' by Kristopher Tapp (Suitable for students who have taken linear algebra and a proof-based mathematics course) | ||
=== Other Inspiration === | |||
The [https://www.3blue1brown.com/ 3blue1brown website] has interactive lessons in video and text form. | |||
== Past Projects == | == Past Projects == | ||
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Dr. Gloria Marí-Beffa, Associate Dean for Research | Dr. Gloria Marí-Beffa, Associate Dean for Research | ||
== Acknowledgements == | |||
Revision as of 01:59, 24 January 2025
What is it?
Why be a mentor?
When? Where?
Meetings can be in-person or virtual, depending on the needs of the mentor and students.
In-person or hybrid presentations are held at the end of each semester.
Graduate Organizers: Bella Finkel
Faculty Organizers: Tullia Dymarz
Topics and Resources
Topics
Cardinality of Sets
Bijections, injections, and surjections
Quaternions
Definitions and Properties of the Trace
Non-Euclidean Geometries
Parking Functions
Honk! Honk!: An Introduction to Parking Functions, Part 1
Honk!: An Introduction to Parking Functions, Part 2
Sunzi's Theorem (The Chinese Remainder Theorem)
Written Resources
Naive Set Theory by Paul Halmos
Mathematics and its History by John Stillwell (This is a versatile book. Some chapters are appropriate for students at all levels, most are suitable for students who have taken calculus, and a few at the end are ideal for students who have seen some group theory.)
Linear Algebra Done Right by Sheldon Axler (Most suitable for students who have taken linear algebra)
Most suitable for students with prior exposure to proof-based mathematics:
Primes of the Form x^2+ny^2 : Fermat, Class Field Theory, and Complex Multiplication by David A. Cox
Matrix Groups for Undergraduates by Kristopher Tapp (Suitable for students who have taken linear algebra and a proof-based mathematics course)
Other Inspiration
The 3blue1brown website has interactive lessons in video and text form.
Past Projects
Fermat’s Little Theorem: Proof Using “Necklaces”
Matrix Groups and Applications
Administrative Resources and Contacts
Erin Bailey, Associate Director of Community Engaged Research in the College of Letters and Science
Dr. Gloria Marí-Beffa, Associate Dean for Research