Канал: Dr. Trefor Bazett

Invariants: How Mathematicians Distinguish Between Objects

Invariants: How Mathematicians Distinguish Between Objects

I'm leaving my professor job for YouTube

I'm leaving my professor job for YouTube

The reason you should shuffle 7 times

The reason you should shuffle 7 times

Could 1-1+1-1+1-1+1-1+... actually converge?

Could 1-1+1-1+1-1+1-1+... actually converge?

Why don't whales get more cancer? - Peto's Paradox

Why don't whales get more cancer? - Peto's Paradox

How to write your homework using LaTeX

How to write your homework using LaTeX

How to fairly split weird bills using GAME THEORY

How to fairly split weird bills using GAME THEORY

Why hyperbolic functions are actually really nice

Why hyperbolic functions are actually really nice

Modelling with Differential Equations // Lanchester Square Collapse

Modelling with Differential Equations // Lanchester Square Collapse

5 counterexamples every calculus student should know

5 counterexamples every calculus student should know

My favorite way to compute Pi....experimentally!

My favorite way to compute Pi....experimentally!

Why complete chaos is impossible || Ramsey Theory

Why complete chaos is impossible || Ramsey Theory

The Math of Bubbles // Minimal Surfaces & the Calculus of Variations #SoME3

The Math of Bubbles // Minimal Surfaces & the Calculus of Variations #SoME3

Weird Topological Spaces // Connected vs Path Connected vs Simply Connected

Weird Topological Spaces // Connected vs Path Connected vs Simply Connected

Why (-1,1) and (-infinity, infinity) are kinda the same thing

Why (-1,1) and (-infinity, infinity) are kinda the same thing

Solving the Gaussian Integral the cool way

Solving the Gaussian Integral the cool way

Why this pattern shows up everywhere in nature || Voronoi Cell Pattern

Why this pattern shows up everywhere in nature || Voronoi Cell Pattern

The Dirichlet Integral is destroyed by Feynman's Trick

The Dirichlet Integral is destroyed by Feynman's Trick

Unlocking the secrets of Magic Square puzzles

Unlocking the secrets of Magic Square puzzles

How to write a STEM paper

How to write a STEM paper

The Fastest Multiplication Algorithm

The Fastest Multiplication Algorithm

How to make your LaTeX documents BEAUTIFUL // LaTeX Tutorial

How to make your LaTeX documents BEAUTIFUL // LaTeX Tutorial

YouTuber VS Professor

YouTuber VS Professor

The Beauty of Symmetry: An Introduction to the Wallpaper Group

The Beauty of Symmetry: An Introduction to the Wallpaper Group

Why does a 4pi rotation untwist the space but a 2pi rotation does not?

Why does a 4pi rotation untwist the space but a 2pi rotation does not?

The Bernoulli Integral is ridiculous

The Bernoulli Integral is ridiculous

Intro to Gradient Descent || Optimizing High-Dimensional Equations

Intro to Gradient Descent || Optimizing High-Dimensional Equations

My favorite LaTeX Tricks to save time

My favorite LaTeX Tricks to save time

The fastest matrix multiplication algorithm

The fastest matrix multiplication algorithm

Fractal Snowflakes, Symmetries, and Beautiful Math Decorations

Fractal Snowflakes, Symmetries, and Beautiful Math Decorations

Topology is weird: The Ham Sandwich Theorem

Topology is weird: The Ham Sandwich Theorem

Tricky logarithmic differentiation example

Tricky logarithmic differentiation example

Basic Tables in LaTeX #shorts

Basic Tables in LaTeX #shorts

Tables in LaTeX || Full Tutorial || Intro to LaTeX Episode 8

Tables in LaTeX || Full Tutorial || Intro to LaTeX Episode 8

The Reciprocal Prime Series (this proof should be taught in calculus!)

The Reciprocal Prime Series (this proof should be taught in calculus!)

The strangest function I know (linear but not continuous?? huh??)

The strangest function I know (linear but not continuous?? huh??)

The Problem of Traffic: A Mathematical Modeling Journey

The Problem of Traffic: A Mathematical Modeling Journey

How I Make Presentations Using LaTeX & Beamer

How I Make Presentations Using LaTeX & Beamer

I almost failed calculus. Today I'm a math prof.

I almost failed calculus. Today I'm a math prof.

This Infinitely Differentiable Function Breaks Taylor Series

This Infinitely Differentiable Function Breaks Taylor Series

Your calculus prof lied to you (probably)

Your calculus prof lied to you (probably)

How I make beautiful GRAPHS and PLOTS using LaTeX

How I make beautiful GRAPHS and PLOTS using LaTeX

Dirac's Belt Trick: Why a 2π rotation twists space but a 4π rotation fixes it

Dirac's Belt Trick: Why a 2π rotation twists space but a 4π rotation fixes it

Untangling the beautiful math of KNOTS

Untangling the beautiful math of KNOTS

Beyond the Binomial Theorem: The Binomial Series

Beyond the Binomial Theorem: The Binomial Series

The Beautiful Story of Non-Euclidean Geometry

The Beautiful Story of Non-Euclidean Geometry

How to make beautiful math graphics using Tikz & LaTeX

How to make beautiful math graphics using Tikz & LaTeX

Weird notions of "distance" || Intro to Metric Spaces

Weird notions of "distance" || Intro to Metric Spaces

Variation of Parameters || How to solve non-homogeneous ODEs

Variation of Parameters || How to solve non-homogeneous ODEs

Parseval's Identity, Fourier Series, and Solving this Classic Pi Formula

Parseval's Identity, Fourier Series, and Solving this Classic Pi Formula

The Beautiful Barnsley Fractal #shorts

The Beautiful Barnsley Fractal #shorts

This Infinite Integral Tower Actually Converges? Sorta...

This Infinite Integral Tower Actually Converges? Sorta...

We need to talk about cheating in universities...

We need to talk about cheating in universities...

What is cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos(…?? // Banach Fixed Point Theorem

What is cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos(…?? // Banach Fixed Point Theorem

CALCULUS SPEEDRUN || Limits || Episode 1

CALCULUS SPEEDRUN || Limits || Episode 1

Power Sets and the Cardinality of the Continuum

Power Sets and the Cardinality of the Continuum

My FINAL EXAM STUDY SYSTEM as a math prof

My FINAL EXAM STUDY SYSTEM as a math prof

IS CHESS A GAME OF CHANCE? Classical vs Frequentist vs Bayesian Probability

IS CHESS A GAME OF CHANCE? Classical vs Frequentist vs Bayesian Probability

My favorite LaTeX packages for writing beautiful math documents

My favorite LaTeX packages for writing beautiful math documents

Bayesian Truth Serum // Using MATH to catch liars

Bayesian Truth Serum // Using MATH to catch liars

Stirling's Incredible Approximation // Gamma Functions, Gaussians, and Laplace's Method

Stirling's Incredible Approximation // Gamma Functions, Gaussians, and Laplace's Method

How to write a thesis using LaTeX **full tutorial**

How to write a thesis using LaTeX full tutorial

The Largest Numbers Ever Discovered // The Bizarre World of Googology

The Largest Numbers Ever Discovered // The Bizarre World of Googology

The most important limit in Calculus // Geometric Proof & Applications

The most important limit in Calculus // Geometric Proof & Applications

The Evolution of Cooperation // Iterated Prisoner's Dilemma

The Evolution of Cooperation // Iterated Prisoner's Dilemma

The Hierarchy of Big Functions || n^n greater than n! greater than e^n greater than n^100

The Hierarchy of Big Functions || n^n greater than n! greater than e^n greater than n^100

Intro to the Fundamental Group // Algebraic Topology with @TomRocksMaths

Intro to the Fundamental Group // Algebraic Topology with @TomRocksMaths

Nash Equilibriums // How to use Game Theory to render your opponents indifferent

Nash Equilibriums // How to use Game Theory to render your opponents indifferent

My back to school routine as a PROFESSOR | One week until classes start!

My back to school routine as a PROFESSOR | One week until classes start!

The Mathematics of Trust // How Game Theory Explains Cooperation

The Mathematics of Trust // How Game Theory Explains Cooperation

MATH PROF vs TRICKY INTEGRALS

MATH PROF vs TRICKY INTEGRALS

Intro to LaTeX **Full Tutorial** Part II (Equations, Tables, Figures, Theorems, Macros and more)

Intro to LaTeX Full Tutorial Part II (Equations, Tables, Figures, Theorems, Macros and more)

How to find DOMINATING STRATEGIES with Game Theory

How to find DOMINATING STRATEGIES with Game Theory

Are you just bad at math? #shorts

Are you just bad at math? #shorts

Normal Form Games // Intro to Game Theory // Episode 2

Normal Form Games // Intro to Game Theory // Episode 2

How to succeed as a math student // A conversation with Kyle Broder // Part I

How to succeed as a math student // A conversation with Kyle Broder // Part I

The Formulas behind Savings, Investing, and Annuities

The Formulas behind Savings, Investing, and Annuities

THE PRISONER'S DILEMMA // Intro to Game Theory // Episode 1

THE PRISONER'S DILEMMA // Intro to Game Theory // Episode 1

Unboxing the world's most prestigious CHALK

Unboxing the world's most prestigious CHALK

INTEREST: Simple Interest vs Compound Interest vs Continuous Interest

INTEREST: Simple Interest vs Compound Interest vs Continuous Interest

Learning CHESS vs Learning MATH

Learning CHESS vs Learning MATH

7 Ways to Level Up Your MATH SUPERPOWERS

7 Ways to Level Up Your MATH SUPERPOWERS

The beautiful geometric view of FOURIER SERIES // The Linear Algebra Perspective

The beautiful geometric view of FOURIER SERIES // The Linear Algebra Perspective

Computing the Fourier Series of EVEN or ODD Functions **full example**

Computing the Fourier Series of EVEN or ODD Functions full example

How to Compute a FOURIER SERIES // Formulas & Full Example

How to Compute a FOURIER SERIES // Formulas & Full Example

Intro to FOURIER SERIES: The Big Idea

Intro to FOURIER SERIES: The Big Idea

Crazy Math Patterns that stop working......eventually

Crazy Math Patterns that stop working......eventually

Undetermined Coefficients: Solving non-homogeneous ODEs

Undetermined Coefficients: Solving non-homogeneous ODEs

Mechanical Vibrations: Underdamped vs Overdamped vs Critically Damped

Mechanical Vibrations: Underdamped vs Overdamped vs Critically Damped

Undamped Mechanical Vibrations & Hooke's Law // Simple Harmonic Motion

Undamped Mechanical Vibrations & Hooke's Law // Simple Harmonic Motion

Intro to Linear Programming

Intro to Linear Programming

The Theory of Higher Order Differential Equations

The Theory of Higher Order Differential Equations

Linear Independence of Functions & The Wronskian

Linear Independence of Functions & The Wronskian

Higher Order Constant Coefficient Differential Equations: y'''+y'=0 and y''''-3y'''+3y''-y'=0

Higher Order Constant Coefficient Differential Equations: y'''+y'=0 and y''''-3y'''+3y''-y'=0

Constant Coefficient ODEs: Real & Distinct vs Real & Repeated vs Complex Pair

Constant Coefficient ODEs: Real & Distinct vs Real & Repeated vs Complex Pair

How to Solve Constant Coefficient Homogeneous Differential Equations

How to Solve Constant Coefficient Homogeneous Differential Equations

The Theory of 2nd Order ODEs // Existence & Uniqueness, Superposition, & Linear Independence

The Theory of 2nd Order ODEs // Existence & Uniqueness, Superposition, & Linear Independence

The Logistic Growth Differential Equation

The Logistic Growth Differential Equation

Autonomous Equations, Equilibrium Solutions, and Stability

Autonomous Equations, Equilibrium Solutions, and Stability

The Bernoulli Equation // Substitutions in Differential Equations

The Bernoulli Equation // Substitutions in Differential Equations

The worst ALGEBRA MISTAKES I see as a Math Prof **don't do these**

The worst ALGEBRA MISTAKES I see as a Math Prof don't do these

The Method of Integrating Factors for Linear 1st Order ODEs **full example**

The Method of Integrating Factors for Linear 1st Order ODEs full example

Linear Differential Equations & the Method of Integrating Factors

Linear Differential Equations & the Method of Integrating Factors

The Big Theorem of Differential Equations: Existence & Uniqueness

The Big Theorem of Differential Equations: Existence & Uniqueness

The Great Gatsby Curve: Income Immobility vs Income Inequality

The Great Gatsby Curve: Income Immobility vs Income Inequality

The Geometric Meaning of Differential Equations // Slope Fields, Integral Curves & Isoclines

The Geometric Meaning of Differential Equations // Slope Fields, Integral Curves & Isoclines

Newton's Law of Cooling // Separable ODE Example

Newton's Law of Cooling // Separable ODE Example

Separation of Variables // Differential Equations

Separation of Variables // Differential Equations

The Key Definitions of Differential Equations: ODE, order, solution, initial condition, IVP

The Key Definitions of Differential Equations: ODE, order, solution, initial condition, IVP

What is a DIFFERENTIAL EQUATION?? **Intro to my full ODE course**

What is a DIFFERENTIAL EQUATION?? Intro to my full ODE course

My STUDY ROUTINE as a Math Prof // My top study tips

My STUDY ROUTINE as a Math Prof // My top study tips

A unified view of Vector Calculus (Stoke's Theorem, Divergence Theorem & Green's Theorem)

A unified view of Vector Calculus (Stoke's Theorem, Divergence Theorem & Green's Theorem)

Deriving Gauss's Law for Electric Flux via the Divergence Theorem from Vector Calculus

Deriving Gauss's Law for Electric Flux via the Divergence Theorem from Vector Calculus

Divergence Theorem for regions bounded by two surfaces // Vector Calculus

Divergence Theorem for regions bounded by two surfaces // Vector Calculus

Divergence Theorem example: Flux across unit cube // Vector Calculus

Divergence Theorem example: Flux across unit cube // Vector Calculus

The Divergence Theorem // Geometric Intuition & Statement // Vector Calculus

The Divergence Theorem // Geometric Intuition & Statement // Vector Calculus

Stokes' Theorem Example // Verifying both Sides // Vector Calculus

Stokes' Theorem Example // Verifying both Sides // Vector Calculus

Stokes' Theorem // Geometric Intuition & Statement // Vector Calculus

Stokes' Theorem // Geometric Intuition & Statement // Vector Calculus

The CURL of a 3D vector field // Vector Calculus

The CURL of a 3D vector field // Vector Calculus

Computing the Flux Across a Surface // Vector Calculus

Computing the Flux Across a Surface // Vector Calculus

Flux of a Vector Field Across a Surface // Vector Calculus

Flux of a Vector Field Across a Surface // Vector Calculus

Orientable vs Non-Orientable Surfaces and the Mobius Strip

Orientable vs Non-Orientable Surfaces and the Mobius Strip

Surface Integrals // Formulas & Applications // Vector Calculus

Surface Integrals // Formulas & Applications // Vector Calculus

Computing the Surface Area of an Implicitly Defined Surface

Computing the Surface Area of an Implicitly Defined Surface

Surface Area for Implicit & Explicit Surfaces // Vector Calculus

Surface Area for Implicit & Explicit Surfaces // Vector Calculus

Computing the Surface Area of a surface parametrically // Example 2 // Vector Calculus

Computing the Surface Area of a surface parametrically // Example 2 // Vector Calculus

Computing the Surface Area of a surface parametrically // Example 1 // Vector Calculus

Computing the Surface Area of a surface parametrically // Example 1 // Vector Calculus

What is VECTOR CALCULUS?? **Full Course Introduction**

What is VECTOR CALCULUS?? Full Course Introduction

Why is the surface area of a Sphere 4pi times radius squared???

Why is the surface area of a Sphere 4pi times radius squared???

The Surface Area formula for Parametric Surfaces // Vector Calculus

The Surface Area formula for Parametric Surfaces // Vector Calculus

Describing Surfaces Explicitly, Implicitly & Parametrically // Vector Calculus

Describing Surfaces Explicitly, Implicitly & Parametrically // Vector Calculus

Example: Using Green's Theorem to Compute Circulation & Flux // Vector Calculus

Example: Using Green's Theorem to Compute Circulation & Flux // Vector Calculus

Divergence, Flux, and Green's Theorem // Vector Calculus

Divergence, Flux, and Green's Theorem // Vector Calculus

Finding the scalar potential function for a conservative vector field // Vector Calculus

Finding the scalar potential function for a conservative vector field // Vector Calculus

Math Prof answers 6÷2(1+2) = ? once and for all ***Viral Math Problem***

Math Prof answers 6÷2(1+2) = ? once and for all Viral Math Problem

Curl, Circulation, and Green's Theorem // Vector Calculus

Curl, Circulation, and Green's Theorem // Vector Calculus

Curl or Circulation Density of a Vector Field // Vector Calculus

Curl or Circulation Density of a Vector Field // Vector Calculus

How to Test if a Vector Field is Conservative // Vector Calculus

How to Test if a Vector Field is Conservative // Vector Calculus

The Fundamental Theorem of Line Integrals // Big Idea & Proof // Vector Calculus

The Fundamental Theorem of Line Integrals // Big Idea & Proof // Vector Calculus

Conservative Vector Fields // Vector Calculus

Conservative Vector Fields // Vector Calculus

Curves, Parameterizations, and the Arclength Parameterization

Curves, Parameterizations, and the Arclength Parameterization

Flux Integrals // Big Idea, Formula & Examples // Vector Calculus

Flux Integrals // Big Idea, Formula & Examples // Vector Calculus

Flow Integrals and Circulation // Big Idea, Formula & Examples // Vector Calculus

Flow Integrals and Circulation // Big Idea, Formula & Examples // Vector Calculus

Line Integrals with respect to x or y // Vector Calculus

Line Integrals with respect to x or y // Vector Calculus

Example: Computing the Line Integral of a Vector Field (i.e. Work Done)

Example: Computing the Line Integral of a Vector Field (i.e. Work Done)

Line Integrals of Vector Fields // Big Idea, Definition & Formula

Line Integrals of Vector Fields // Big Idea, Definition & Formula

The Gradient Vector Field

The Gradient Vector Field

Intro to VECTOR FIELDS // Sketching by hand & with computers

Intro to VECTOR FIELDS // Sketching by hand & with computers

Line Integrals in 3D // Formula & Three Applications

Line Integrals in 3D // Formula & Three Applications

Line Integrals: Full Example

Line Integrals: Full Example

What is a LINE INTEGRAL? // Big Idea, Derivation & Formula

What is a LINE INTEGRAL? // Big Idea, Derivation & Formula

Markov Chains & Transition Matrices

Markov Chains & Transition Matrices

Intro to Markov Chains & Transition Diagrams

Intro to Markov Chains & Transition Diagrams

The largest Mersenne prime is 2^82589933-1....so far

The largest Mersenne prime is 2^82589933-1....so far

Defining Numbers & Functions Using SET THEORY // Foundations of Mathematics

Defining Numbers & Functions Using SET THEORY // Foundations of Mathematics

The Polar Form of COMPLEX NUMBERS // Finding the nth roots of -1

The Polar Form of COMPLEX NUMBERS // Finding the nth roots of -1

The geometric view of COMPLEX NUMBERS

The geometric view of COMPLEX NUMBERS

Intro to COMPLEX NUMBERS // Motivation, Algebraic Definition & Fundamental Theorem of Algebra Ep. 1

Intro to COMPLEX NUMBERS // Motivation, Algebraic Definition & Fundamental Theorem of Algebra Ep. 1

The Gaussian Integral // Solved Using Polar Coordinates

The Gaussian Integral // Solved Using Polar Coordinates

Change the order of integration to solve tricky integrals

Change the order of integration to solve tricky integrals

Counting with Triple Intersections // Example & Formula

Counting with Triple Intersections // Example & Formula

The Vector Space of Polynomials: Span, Linear Independence, and Basis

The Vector Space of Polynomials: Span, Linear Independence, and Basis

How SIMPSON'S PARADOX explains weird COVID19 statistics

How SIMPSON'S PARADOX explains weird COVID19 statistics

9 tips to help you PROVE MATH THEOREMS

9 tips to help you PROVE MATH THEOREMS

The bizarre world of INFINITE rearrangements // Riemann Series Theorem

The bizarre world of INFINITE rearrangements // Riemann Series Theorem

Lagrange Multipliers with TWO constraints | Multivariable Optimization

Lagrange Multipliers with TWO constraints | Multivariable Optimization

Multivariable Optimization with Boundaries

Multivariable Optimization with Boundaries

Geometric Meaning of the Gradient Vector

Geometric Meaning of the Gradient Vector

What is differentiability for multivariable functions??

What is differentiability for multivariable functions??

Continuity vs Partial Derivatives vs Differentiability | My Favorite Multivariable Function

Continuity vs Partial Derivatives vs Differentiability | My Favorite Multivariable Function

Computing Multivariable Limits Algebraically

Computing Multivariable Limits Algebraically

How I make EDUCATION VIDEOS

How I make EDUCATION VIDEOS

How to use SERIES to solve DIFFERENTIAL EQUATIONS example: Airy's Equation y''-xy=0

How to use SERIES to solve DIFFERENTIAL EQUATIONS example: Airy's Equation y''-xy=0

When can you use Series to solve ODEs? Ordinary vs Singular Points

When can you use Series to solve ODEs? Ordinary vs Singular Points

How to solve ODEs with infinite series | Intro & Easiest Example: y'=y

How to solve ODEs with infinite series | Intro & Easiest Example: y'=y

False Positives & Negatives for COVID-19 tests | Using Bayes' Theorem to Estimate Probabilities

False Positives & Negatives for COVID-19 tests | Using Bayes' Theorem to Estimate Probabilities

Tangential and Normal components of Acceleration | Multi-variable Calculus

Tangential and Normal components of Acceleration | Multi-variable Calculus

Solving ODEs with Delta functions using Laplace Transforms

Solving ODEs with Delta functions using Laplace Transforms

The Dirac Delta 'Function': How to model an impulse or infinite spike

The Dirac Delta 'Function': How to model an impulse or infinite spike

Intro to LaTeX : Learn to write beautiful math equations || Part 1

Intro to LaTeX : Learn to write beautiful math equations || Part 1

Periodic Functions and the Laplace Transform

Periodic Functions and the Laplace Transform

What are the big ideas of Multivariable Calculus?? Full Course Intro

What are the big ideas of Multivariable Calculus?? Full Course Intro

Laplace Transform and Piecewise or Discontinuous Functions

Laplace Transform and Piecewise or Discontinuous Functions

Derivatives & Integrals of Laplace Transforms | Ex: Bessel Equation ty''+y'+ty=0

Derivatives & Integrals of Laplace Transforms | Ex: Bessel Equation ty''+y'+ty=0

Defining the Natural Logarithm as an Integral?!?!?

Defining the Natural Logarithm as an Integral?!?!?

Why Exponential Growth?? Intro to Separable Differential Equations

Why Exponential Growth?? Intro to Separable Differential Equations

The Convolution of Two Functions | Definition & Properties

The Convolution of Two Functions | Definition & Properties

How to use Laplace Transform to solve Differential Equations ** Full Example **

How to use Laplace Transform to solve Differential Equations Full Example

Inverse Laplace Transform Example using Partial Fractions

Inverse Laplace Transform Example using Partial Fractions

The MATH of Epidemics | Variants of the SIR Model

The MATH of Epidemics | Variants of the SIR Model

Translation and Inverse Laplace Transforms

Translation and Inverse Laplace Transforms

Using Laplace Transforms to solve Differential Equations ***full example***

Using Laplace Transforms to solve Differential Equations full example

The Laplace Transform of Derivatives and Integrals

The Laplace Transform of Derivatives and Integrals

3 Properties of Laplace Transforms: Linearity, Existence, and Inverses

3 Properties of Laplace Transforms: Linearity, Existence, and Inverses

Intro to the Laplace Transform & Three Examples

Intro to the Laplace Transform & Three Examples

The MATH of Pandemics | Intro to the SIR Model

The MATH of Pandemics | Intro to the SIR Model

COMPLEX Eigenvalues, Eigenvectors & Diagonalization **full example**

COMPLEX Eigenvalues, Eigenvectors & Diagonalization full example

Intro to Dimensional Analysis: How Much Energy in an Atomic Bomb? Or a Supernova?

Intro to Dimensional Analysis: How Much Energy in an Atomic Bomb? Or a Supernova?

How to LEARN effectively | Five evidence-based tips

How to LEARN effectively | Five evidence-based tips

Change of Variables & The Jacobian | Multi-variable Integration

Change of Variables & The Jacobian | Multi-variable Integration