Notes I wrote

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The followings are the lecture notes I wrote for professor Ngai in his course Fractal Geometry, and part of the lecture notes for professor Peres in his course Ergodic Theory. The followings are some selected solutions to homework problems given by Benjamin Sudakov (ETH) in his Graph theory course given to BIMSA in 2025 Fall.

Linear Algebra Math3E

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Lecturer: Tianyu Zhang (YMSC) Contact: bidenbaka@gmail.com Questions: https://piazza.com/tymathdb/spring2024/math3e/ Joining Piazza via the code: math3e Recommend Calculator: https://matrixcalc.org/ Lecture 1: Determinant and Matrix Intro Abstract: In this lecture we introduce the concept of determinant and how to use determinant to calculate a linear system. In particular, we introduced some algorithm in calculating the determinant. We also … Read more

Lecture Notes in Physics4A

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Lecturer: Tianyu Zhang Additional Source: Lecture 1: Scale of Physics and Vector Space Abstract: We covered the materials in the first chapter. We also introduced the concept of vector space, the operations of vectors, both the vector addition, scalar multiplication inside the vector space; as well as the operations between vector spaces, for example, the … Read more