Here is a list of my notes, some are typed by latex and some are written for convenience:

PDE and Numerical PDE

PDE part:

Conservation law,

Heat equation review,

Poisson and Laplace eqation review,

Wave Equation Review,

This only covers about 60 percent of my past course PDE(H). For more detailed materials, please refer to PDE(H) Thank Prof.Liying Li for the fantastic teaching he brought. I really benefit a lot from this course

Optimization

Here are some basic notes

LP Strong Duality via Farkas ,

Slater condition and LP optimal value,

vertex cover and matching for bipartite graphs ,

Constraint qualification and KKT (For more ref, just search constraint qualification) ,

Some usual knowledge about convex optimization,

Talking about the non-expansive operators,

Some useful algorithms ,

Other Interesting Topics

Simple Coupon problem [Thank Shelton] ,

Meanwhile, I also host a machine learning seminar in SUSTech from 2025, you can refer to:

Machine learning seminar [2025] ,

And I will be a TA for 2025 fall's Numercial Analysis course taught by

Prof.Yang .

Here is a list for the supplementary materials, including the theoretical part and coding part: