Date modified: Mon 2023-09-18 . 09:01 AM
Date created: Sat 2023-10-07 . 09:02 PM
# CSU Summer Program 2023 We will review concepts in real analysis, linear algebra, by exploring interesting problems. A list of problems we discussed. [In the beginning, there is the SVD...](https://people.maths.ox.ac.uk/porterm/papers/s4.pdf) Cat pictures and senate voting. [Jacobi rotations](https://en.wikipedia.org/wiki/Jacobi_rotation) [Jacobi eigenvalue algorithm](https://en.wikipedia.org/wiki/Jacobi_eigenvalue_algorithm) [Gershgorin circle theorem](https://en.wikipedia.org/wiki/Gershgorin_circle_theorem) See the remark on the connected components of circles. [Second derivative test](https://mathworld.wolfram.com/SecondDerivativeTest.html) [Lights out game](https://www.ocf.berkeley.edu/~bslin/LIGHTSOUT/) [A Peg solitaire game](https://www.ocf.berkeley.edu/~bslin/PEG-SOLITAIRE/game1.html) [[1 teaching/CSU summer 2023/problem-list|problem-list]] [[1 teaching/CSU summer 2023/problems/polynomial-racing|Polynomial racing]] [[1 teaching/CSU summer 2023/problems/kuratowski-14-sets|How many different kinds of sets can you get with complement and closure?]] [[1 teaching/CSU summer 2023/problems/characterization-of-compactness-in-metric-spaces|characterization-of-compactness-in-metric-spaces]] [[1 teaching/CSU summer 2023/problems/heine-borel-for-euclidean-spaces|heine-borel-for-euclidean-spaces]] Some notes. [[resources/foundation-of-reals.pdf|Foundations and the real axioms.]] [[resources/metric-and-topological-perspectives.pdf|Metric and topological perspectives]] [[resources/sequences-and-series-of-numbers.pdf|Sequences and series of numbers]] Some resources for the Math Subject GRE: [[resources/some-practice-gre-problems.pdf|Some practice GRE problems]] and its [[resources/gre-key|suggested key]] (Let me know if there are any errors!)