The following shared files from Overleaf are projects of my studying for courses and qualifying exams, general exams in the department, and they are "typing in progress". Most of them are my ideas, but I am not sure if they all correct 100% so please contact me via my email if you see something wrong that I need to fix or you have better idea for me to solve it. Also, there are some solutions that I collected from many sources from the internet or from many people ideas (could be my professors too), so please, if you see your idea, solution there, let me know so I can tag your name for a credit. These are for studying purposes, not for selling or commercial publishing.

Functional Analysis by Christian Remling (Solutions of exercises on Chapters 8 - 10, Functional Analysis II Spring 2025): Problem Solvings Remling FA notes 

The Rauch Comparison Theorem (from Do Carmo): The Rauch Comparison Theorem 

Topology Review (from Munkres and Hatcher): Topology Qual Review 

Algebra Review (from Dummit and Foote): Algebra Qual Review 

Analysis Review (from Folland): Real Analysis Qual Review 

Smooth Manifolds, Smooth Maps (from Lee): Smooth Manifolds and Maps 

de Rham Cohomology: de Rham 

OU MATH 1523: Precalculus and Trigonometry: There are worksheets I used for teaching Fall 2024, based on the book "Algebra&Trig 11e" by Ron Larson:  Unit 1, Unit 2, Unit 3, Unit 4.

OU MATH 1823: Calculus and Analytic Geometry I: There are lecture notes I used for teaching Spring 2025, based on the book "Calculus 9e" by James Stewart, Daniel K. Clegg, Saleem Watson:  Chapter 1, Chapter 2, Chapter 3.