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USTC24F Advanced Real Analysis (MATH5001P) 调和分析简介
1.Analysis on unit circle. 2.Analysis on Euclidean space. 3.Littlewood-Palay Theory.

USTC24F Algebra Course (MATH5002P)
第二章 Noether环和Noether模，Artin环和Artin模，局部化，整性，根式理想与准素理想。

USTC24F Advanced Real Analysis (MATH5001P)
第七章 Radon测度 紧支撑的连续函数空间上的正线性泛函，正则性与逼近定理，紧支撑连续函数空间的对偶，乘积Radon测度

中国工业与应用数学学会2024年年会-南京（10/24-10/28） 报告回顾

USTC24F Algebra Course (MATH5002P)
环论回顾，扭元、扭模，有限生成无扭模，结构定理，线性代数的标准型理论

USTC24F Advanced Real Analysis (MATH5001P)
第六章 Lp空间：基本理论，对偶空间与自反性，Lp估计，插值定理

This article is based on the transcript of a recording of the Sir Michael Atiyah’s Fields Lecture at the World Mathematical Year 2000 Symposium, Toronto, June 7-9, 2000.
Abstract：A survey is given of several key themes that have characterised mathematics in the 20th century. The impact of physics is also discussed, and some speculations are made about possible developments in the 21st century.

USTC24F Advanced Real Analysis (MATH5001P)
第二章 积分理论：简单函数-非负函数-实值函数-复值函数的积分，几种不同的收敛类型，单调收敛定理、控制收敛定理、Lusin引理，Lebesgue积分，Fubini-Tonelli定理。
第三章 符号测度：测度的微分，Vitali覆盖，Hardy-Littlwood极大函数以及极大定理，Lebesgue微分定理，正则性，有界变差函数，关于Lebesgue积分的微积分基本定理

USTC 2024 Fall Finite Element Method（MATH5005P）课程实验：一维问题，线性有限元，局部刚度矩阵与局部负载向量，二次有限元，Neumann边界

Definition, Properties, and Basic applications in Approximation Theory