Girls Math Night: Difference between revisions
No edit summary |
(→Topics) |
||
| (10 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
'''What is it?''' | |||
'''Why be a mentor?''' | |||
'''When? Where?''' | '''When? Where?''' | ||
Meetings can be in-person or virtual, depending on the needs of the mentor and students. | |||
We will hold in-person or hybrid presentations at the end of the semester. | |||
''' | '''Graduate Organizers:''' Bella Finkel | ||
'''Faculty Organizers''': Tullia Dymarz | |||
== Topics and Resources == | |||
=== Topics === | |||
'''Cardinality of Sets''' | |||
Bijections, injections, and surjections | |||
'''Quaternions''' | |||
'''Definitions and Properites of the Trace''' | |||
'''Non-Euclidean Geometries''' | |||
'''Parking Functions''' | |||
[https://www.girlsangle.org/page/bulletin-archive/GABv14n02E.pdf Honk! Honk!: An Introduction to Parking Functions, Part 1] | |||
[https://www.girlsangle.org/page/bulletin-archive/GABv14n03E.pdf Honk!: An Introduction to Parking Functions, Part 2] | |||
=== Written Resources === | |||
[https://link.springer.com/book/10.1007/978-1-4757-1645-0 Naive Set Theory] by Paul Halmos | |||
''[https://link.springer.com/book/10.1007/978-1-4419-6053-5 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.) | |||
[https://linear.axler.net/ 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: | |||
''[https://dacox.people.amherst.edu/primes.html Primes of the Form x^2+ny^2 : Fermat, Class Field Theory, and Complex Multiplication]'' by David A. Cox | |||
''[https:// | |||
'' | ''[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) | ||
== Past Projects == | == Past Projects == | ||
== Administrative Resources and Contacts == | |||
Latest revision as of 02:20, 12 November 2024
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.
We will hold in-person or hybrid presentations at the end of the semester.
Graduate Organizers: Bella Finkel
Faculty Organizers: Tullia Dymarz
Topics and Resources
Topics
Cardinality of Sets
Bijections, injections, and surjections
Quaternions
Definitions and Properites 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
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)