Some of My Pain Through Exploring Mathematics

Last Uptade: 4.26.2020

Here We Go Again: Analysis

• MAT201C(UC Davis)
  • My MAT201C Lecture Note1 (Week 1 + Week 2).
  • My MAT201C Lecture Note2 (Week 3).
  • Referrence: The lectures told by Professor Luli. Real Analysis by Stein and Shakarchi. Fourier Analysis and Its Applications by Folland.

It Is Everywhere: Linear Algebra

Little Chaos: Algebra

Where Near Industry: Optimization

• Linear Programming
  • Small Assignment:
    • A linear Model to predict wine quality
• Discrete Optimization
• Machine Learning

Imagination: Topology

Smell of Physics: Differential Equations

• Ordinary Differential Equations:
  • My understanding of the proof of the Existence and Uniqueness Theorem: The_Cauchy_Problem. Referrence: Ordinary Differential Equations by Arnol’d.
• Stochastic Differential Equations
  • A Reading course directed by Professor Sebastian

To Learn More: Probability

• “If you are a student at UC Davis majoring in mathematics, you need to experience Professor Craig A. Tracy‘s course once.”

Other Aera: Riemann Geometry

Need Something, Anything: Research

• Swimmer Research
• Optimization Research