08:08

Ukraine to the USA: My Experience at Community College

07:31

Math PhD mentoring: how to mentor and why?

04:35

Examples of Fundamental Groups: topological talks

06:21

Math post-PhD research: Euclidean distance degree!

10:15

What's a topological invariant? Homeomorphisms part i

06:44

My Experience at JMM Seattle, 2025

09:29

Math vlog - reading research papers, part i

06:54

Math vlog: p-norm visuals, and paper reviews

11:08

Living in Vancouver vs Berkeley: UBC & UCB PhD/Postdoc Pros & Cons

09:04

Why I started this math channel?

00:21

Neural network learns a singularity

03:28

What is the projective space RP1? Parallel Lines

05:42

What is the real projective space RP1?

53:52

Comparing Artificial and Natural Intelligence

27:49

Deep Learning Essentials: From Universal Approximation to Backpropagation and Beyond, Part I

31:46

Geometry of Polynomial Neural Networks: Introduction

20:06

Calculus Final Review: Limits, Derivatives, and Graphing Rational Functions

32:22

Calculus Final Review: Implicit Differentiation and Integrals

38:43

Calculus I: Midterm Review

11:21

Multivariable Calculus - Discussion 2: Stewart Calculus Section 10.3

07:23

How to be a better tutor? Different Tutoring Techniques

14:36

Introduction to Abstract Math: Proofs in Logic - "Exclusive Or"

36:06

Multivariable Calculus - Lecture 2: Polar Coordinates, Sketching Curves Using Polar Coordinates

06:41

Math graduate program at UC Berkeley: what is a prelim exam?

10:54

What is Lotka-Volterra Model?

31:23

Multivariable Calculus - Discussion 1: Stewart Calculus Section 10.1 and 10.2

05:23

What is an abelian group Z/nZ? Short Geometric Intuition

01:08:39

Multivariable Calculus - Lecture 1: Parametric Curves, and Calculus with Parametric Curves

16:13

Change of Variables - Stewart 15.9.11 and 15.9.13

15:46

Change of Variables - Practice Problems - Stewart 15.9.3, 15.9.5, 15.9.7, and 15.9.9

05:54

What is a smooth function?

05:20

Empty Set Creates All Math

11:13

IMO Challenge Problem - International Mathematical Olympiad

09:40

Finding a matrix of a bilinear form

07:13

Basis for a dual vector space is linearly independent

06:01

Rotation around the line gives a quaternion!

05:51

What is a basis for a dual vector space? Dual Basis Introduction

06:08

Bilinear forms - Introduction

08:46

What is a dual vector space? Introduction

04:46

Guess the next term of this sequence!

04:43

What is Hausdorff Topological Space?

04:58

How to get basis from topology?

13:16

Finding Tangent Space to Cylinder

06:54

Finding a sum using 2 different approaches

09:22

How basis generates topology?

05:43

A union of different bases on X is not a base on X

08:09

A countable union of countable sets is countable

06:55

Why do we need finite intersection of open sets for topology?

11:40

Munkres Solution - Exercise 2.3: Topology Example and Non-example

04:51

Munkres Solution - Exercise 2.2: Finer and Comparable Topologies

18:32

Introduction to Variation of Parameters. Solving Nonhomogeneous Differential Equation.

06:45

Munkres Solution - Exercise 2.1: Basic Topology Problem

01:49

Proof by Induction: 1+2+...+n=n(n+1)/2 - Introduction to Proofs

01:38

A+B = B+A: Commutative Property for Union of Two sets

07:28

How to Find a Good Tutor? - Tutoring

15:49

Manifolds Made Easy! Example of a Manifold - Homeomorphism - Differential Geometry

07:35

Setting Up Double Integral Over General Region

12:34

Switching the Order of Integration - Double Integrals

11:56

Double Integral Introduction

06:34

Introduction to Mobius Transformation! Set of Mobius Transformation Forms a Group!