Lecture Notes

Motivation

Many many and many…math is always expressing the secret in our magic nature…

Thanks

The math teachers I have learned from are teaching math in an interesting and sophisticated way with different charismatic philosophy of themselves.

Intro to this webpage

I want to log the profound and inspiring things that I learned from my math teachers, including notes, philosophy and the like.

These notes move among Advanced Linear Algebra, Analysis, PDEs, multivariable calculus, mathematical modeling, and interesting problems. Choose a course from the navigation above or the collections below.

Collections

Mathematical Foundations Statistics and Learning

Mathematical Foundations

Lecture note	Topics
Analysis 1	Limits, continuity, completeness, and proof.
Calculus	Multivariable calculus and geometric integration.
Advanced Linear Algebra	Vector spaces, linear maps, projections, and least squares.
ODE, PDE, and Fourier Series with codes	Differential equations, Fourier methods, and Python examples.

Statistics and Learning

Lecture note	Topics
Prob. and Stat.	Probability, inference, and model selection.
Statistical Learning	Regression, regularization, and prediction.
Mathematical Statistics	Distribution transformations and estimation.
Survival Analysis	Time-to-event methods.
Resampling	Bootstrap and related methods.
Generalized Linear Models	Models beyond ordinary linear regression.
Statistics Tips	Practical statistical notes.
Additional Statistics Notes	Other collected notes.