Канал: Math For Life

Math PhD: Best Calculus Book #mathematics #math #phd

Math PhD: Best Calculus Book #mathematics #math #phd

Comparing Artificial and Natural Intelligence

Comparing Artificial and Natural Intelligence

PhD graduate advice: Learning Neural Networks #education #phd #mathematics #neuralnetworks #mathphd

PhD graduate advice: Learning Neural Networks #education #phd #mathematics #neuralnetworks #mathphd

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

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

Geometry of Polynomial Neural Networks: Introduction

Geometry of Polynomial Neural Networks: Introduction

Neural Networks: Shallow vs Deep

Neural Networks: Shallow vs Deep

How does neural network learn?

How does neural network learn?

Optimize you math research with Weights and Biases #research #math #phd

Optimize you math research with Weights and Biases #research #math #phd

3 steps to #study #math successfully

3 steps to #study #math successfully

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

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

Calculus Final Review: Implicit Differentiation and Integrals

Calculus Final Review: Implicit Differentiation and Integrals

Watch me create an amazing graph from a given matrix #MathArt#MatrixToGraph#UCBerkeleyMath

Watch me create an amazing graph from a given matrix #MathArt#MatrixToGraph#UCBerkeleyMath

Behind the scenes of math phd student #math #phd #research #student #ucberkeley

Behind the scenes of math phd student #math #phd #research #student #ucberkeley

Notes of some math research #phd #student #math

Notes of some math research #phd #student #math

When I walk, the algorithm runs faster, am i correct? #math #phd #airport #research

When I walk, the algorithm runs faster, am i correct? #math #phd #airport #research

Coffee = math

Coffee = math

Behind the scenes of math PhD student

Behind the scenes of math PhD student

Behind the scenes of Math PhD student

Behind the scenes of Math PhD student

Calculus I: Midterm Review

Calculus I: Midterm Review

Multivariable Calculus - Discussion 2: Stewart Calculus Section 10.3

Multivariable Calculus - Discussion 2: Stewart Calculus Section 10.3

How to be a better tutor? Different Tutoring Techniques

How to be a better tutor? Different Tutoring Techniques

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

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

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

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

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

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

What is Lotka-Volterra Model?

What is Lotka-Volterra Model?

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

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

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

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

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

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

Change of Variables - Stewart 15.9.11 and 15.9.13

Change of Variables - Stewart 15.9.11 and 15.9.13

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

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

What is a smooth function?

What is a smooth function?

Empty Set Creates All Math

Empty Set Creates All Math

IMO Challenge Problem - International Mathematical Olympiad

IMO Challenge Problem - International Mathematical Olympiad

Finding a matrix of a bilinear form

Finding a matrix of a bilinear form

Basis for a dual vector space is linearly independent

Basis for a dual vector space is linearly independent

Rotation around the line gives a quaternion!

Rotation around the line gives a quaternion!

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

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

Bilinear forms - Introduction

Bilinear forms - Introduction

What is a dual vector space? Introduction

What is a dual vector space? Introduction

Guess the next term of this sequence!

Guess the next term of this sequence!

What is Hausdorff Topological Space?

What is Hausdorff Topological Space?

How to get basis from topology?

How to get basis from topology?

Finding Tangent Space to Cylinder

Finding Tangent Space to Cylinder

Finding a sum using 2 different approaches

Finding a sum using 2 different approaches

How basis generates topology?

How basis generates topology?

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

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

A countable union of countable sets is countable

A countable union of countable sets is countable

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

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

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

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

Munkres Solution - Exercise 2.2: Finer and Comparable Topologies

Munkres Solution - Exercise 2.2: Finer and Comparable Topologies

Introduction to Variation of Parameters. Solving Nonhomogeneous Differential Equation.

Introduction to Variation of Parameters. Solving Nonhomogeneous Differential Equation.

Munkres Solution - Exercise 2.1: Basic Topology Problem

Munkres Solution - Exercise 2.1: Basic Topology Problem

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

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

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

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

How to Find a Good Tutor? - Tutoring

How to Find a Good Tutor? - Tutoring

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

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

Setting Up Double Integral Over General Region

Setting Up Double Integral Over General Region

Switching the Order of Integration - Double Integrals

Switching the Order of Integration - Double Integrals

Double Integral Introduction

Double Integral Introduction

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

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

Finding Min&Max for Multivariable Functions

Finding Min&Max for Multivariable Functions

Mobius Transformation Intro - Complex Analysis - What is the Image of a Circle?

Mobius Transformation Intro - Complex Analysis - What is the Image of a Circle?

Uniform Convergence Made Easy!

Uniform Convergence Made Easy!

What is Binary Relation? Discrete Math / Introduction to Proofs

What is Binary Relation? Discrete Math / Introduction to Proofs

Domain and Range of Multivariable Function Made Easy

Domain and Range of Multivariable Function Made Easy

What is Multivariable Function? How to sketch it? Sketching Planes and Parabaloids

What is Multivariable Function? How to sketch it? Sketching Planes and Parabaloids

Derive Equation of the Plane by Yourself!

Derive Equation of the Plane by Yourself!

Concise Intro to Cross Product, Stewart, Chapter 12

Concise Intro to Cross Product, Stewart, Chapter 12

Tricky Average Value Problem!

Tricky Average Value Problem!

Surface of Revolution: Volume. Rotation Around y=-2

Surface of Revolution: Volume. Rotation Around y=-2

Use u-sub Wisely!

Use u-sub Wisely!

Cosine Sine Inverse is Your Friend!

Cosine Sine Inverse is Your Friend!

Calculus 2: Trig Integral

Calculus 2: Trig Integral

Improper Integrals, Sec 8.4, Calculus with Applications, Margaret L. Lial

Improper Integrals, Sec 8.4, Calculus with Applications, Margaret L. Lial

Average Value of a Function, Sec 8.2, Calculus with Applications, Margaret L. Lial

Average Value of a Function, Sec 8.2, Calculus with Applications, Margaret L. Lial

Find the Volume, Sec 8.2, Calculus with Applications, Margaret L. Lial

Find the Volume, Sec 8.2, Calculus with Applications, Margaret L. Lial

What is Dot Product? Definition and Geometric Meaning; Stewart, Chapter 12

What is Dot Product? Definition and Geometric Meaning; Stewart, Chapter 12

Integration by Parts Part II, Sec 8.1, Calculus with Applications, Margaret L. Lial

Integration by Parts Part II, Sec 8.1, Calculus with Applications, Margaret L. Lial

Integration by Parts, Calculus with Applications, Margaret L. Lial

Integration by Parts, Calculus with Applications, Margaret L. Lial

Stewart, 10.2.18: Horizontal and Vertical Tangent Lines

Stewart, 10.2.18: Horizontal and Vertical Tangent Lines

Stewart, 10.1.38: Compare the Parametrizations

Stewart, 10.1.38: Compare the Parametrizations

Stewart, 10.1.33: Describe the Movement of the Particle

Stewart, 10.1.33: Describe the Movement of the Particle

Stewart, 10.1.31: Line Segment Parametric Equation

Stewart, 10.1.31: Line Segment Parametric Equation

Stewart, 10.1.28: Matching Parametric Graphs

Stewart, 10.1.28: Matching Parametric Graphs

Stewart, 10.1.26: Reconstruct Parametric graphs from graphs x(t) and y(t)

Stewart, 10.1.26: Reconstruct Parametric graphs from graphs x(t) and y(t)

Gödel’s incompleteness theorems

Gödel’s incompleteness theorems

Stewart, 10.1.22: Describe the Movement of the Particle - Multivariable Calculus

Stewart, 10.1.22: Describe the Movement of the Particle - Multivariable Calculus

Multivariable Calculus, Stewart, 10.1.20: Describe the Movement of the Particle!

Multivariable Calculus, Stewart, 10.1.20: Describe the Movement of the Particle!

How to sketch Spec C[x]?

How to sketch Spec C[x]?

Multivariable Calculus, Stewart, 10.2.10: Finding the Second Derivative, Concavity

Multivariable Calculus, Stewart, 10.2.10: Finding the Second Derivative, Concavity

Multivariable Calculus, Stewart, 10.2.8: Equation of the Tangent Line - Two Ways!

Multivariable Calculus, Stewart, 10.2.8: Equation of the Tangent Line - Two Ways!

What is a spectrum of a commutative ring R?

What is a spectrum of a commutative ring R?

Multivariable Calculus, Stewart, 10.2.6: Finding the Equation of the Tangent Line

Multivariable Calculus, Stewart, 10.2.6: Finding the Equation of the Tangent Line

Multivariable Calculus, Stewart, 10.1.18: Sketching Hyperbola

Multivariable Calculus, Stewart, 10.1.18: Sketching Hyperbola

Multivariable Calculus, Stewart, 10.1.12: How to Sketch Parametric Equation?

Multivariable Calculus, Stewart, 10.1.12: How to Sketch Parametric Equation?

Derivative of Determinant (for nxn Matrix)

Derivative of Determinant (for nxn Matrix)

Multivariable Calculus, Stewart, 10.2.2: Derivative Parametric Equations

Multivariable Calculus, Stewart, 10.2.2: Derivative Parametric Equations

Multivariable Calculus, Stewart, 10.2.4: Finding the Equation of the Tangent Line

Multivariable Calculus, Stewart, 10.2.4: Finding the Equation of the Tangent Line

Channel update

Channel update

Topological Space: Basis for Topology. Examples

Topological Space: Basis for Topology. Examples

Multivariable Calculus, Stewart, 10.1.16

Multivariable Calculus, Stewart, 10.1.16

Multivariable Calculus, Stewart, 10.1.14: Sketch the Parametric Graph by Eliminating the Parameter

Multivariable Calculus, Stewart, 10.1.14: Sketch the Parametric Graph by Eliminating the Parameter

Eigenvalues and Eigenvectors Example 3x3

Eigenvalues and Eigenvectors Example 3x3

Show that (0, 1] is not compact - Topology - Compact sets

Show that (0, 1] is not compact - Topology - Compact sets

Multivariable Calculus - Chapter 10.1: Problem 6, 8, 10 - Stewart

Multivariable Calculus - Chapter 10.1: Problem 6, 8, 10 - Stewart

Multivariable Calculus - Chapter 10.1: Problem 2, 4 - Stewart

Multivariable Calculus - Chapter 10.1: Problem 2, 4 - Stewart

Matching Parametric Graphs with Parametric Equations: Stewart Chapter 13 Problems 21-26, 13.21

Matching Parametric Graphs with Parametric Equations: Stewart Chapter 13 Problems 21-26, 13.21

What is Floor / Step Function?

What is Floor / Step Function?

Double Integral in Polar Coordinates: Finding the Area of a Circle

Double Integral in Polar Coordinates: Finding the Area of a Circle

Double Integral - Changing the Order of Integration

Double Integral - Changing the Order of Integration

Calculus 2: Trig Integral

Calculus 2: Trig Integral

Real Projective Space, n=2

Real Projective Space, n=2

Manifolds: Lie group Example - Upper Triangular Matrices

Manifolds: Lie group Example - Upper Triangular Matrices

Real Projective Space, n=1

Real Projective Space, n=1

Precalculus Quiz Practice Problems

Precalculus Quiz Practice Problems

Vanishing sets define Zariski Topology on Affine Space.

Vanishing sets define Zariski Topology on Affine Space.

Defining Zariski topology

Defining Zariski topology

What is Zariski topology?

What is Zariski topology?

Precalculus Midterm Review Worksheet

Precalculus Midterm Review Worksheet

Finding the Graph of Parametric Equation

Finding the Graph of Parametric Equation

A Space Which is not a Manifold.

A Space Which is not a Manifold.

What is a manifold? Circle is a manifold.

What is a manifold? Circle is a manifold.

Manifolds: Motivation. Simple Derivation from Calculus Concepts

Manifolds: Motivation. Simple Derivation from Calculus Concepts

Jordan Form - Recursive Formula - Application- Finding the Determinant of the Cartan Matrix

Jordan Form - Recursive Formula - Application- Finding the Determinant of the Cartan Matrix

Jordan Form for a 2x2 matrix

Jordan Form for a 2x2 matrix

Change of Variables Example for Double Integral

Change of Variables Example for Double Integral

Change of Variables for Double Integrals - Introduction

Change of Variables for Double Integrals - Introduction

Volume of a Cone - Triple Integral - Spherical Coordinates

Volume of a Cone - Triple Integral - Spherical Coordinates

Introduction to Polar Coordinates - Lecture 3

Introduction to Polar Coordinates - Lecture 3

Multivariable Calculus - Q&A : Stokes' Theorem, Divergence, and etc.

Multivariable Calculus - Q&A : Stokes' Theorem, Divergence, and etc.

Divergence Theorem and Flux Integral - Vector / Multivariable Calculus

Divergence Theorem and Flux Integral - Vector / Multivariable Calculus

Fun Integral: Solution

Fun Integral: Solution

Can You Solve This Integral?

Can You Solve This Integral?

Normed Vector Space. Definition Norm and Examples - Normed Linear Space

Normed Vector Space. Definition Norm and Examples - Normed Linear Space

Vector / Multivariable Calculus: Surface Area, Surface Integrals over a Scalar and Vector function

Vector / Multivariable Calculus: Surface Area, Surface Integrals over a Scalar and Vector function

What happen when you divide by zero?

What happen when you divide by zero?

Topological Space. Definition of Topology. Examples

Topological Space. Definition of Topology. Examples

Midterm Review I. Multivariable (Vector) Calculus. Double and Triple Integrals.

Midterm Review I. Multivariable (Vector) Calculus. Double and Triple Integrals.

Complex Eigenvalues/Eigenvectors Example 2x2

Complex Eigenvalues/Eigenvectors Example 2x2

Triple Integrals. Volume of the Sphere in Cylindrical Coordinates - Multivariable Calculus

Triple Integrals. Volume of the Sphere in Cylindrical Coordinates - Multivariable Calculus

Introduction to Topology. Fundamental Groups. Homeomorphisms

Introduction to Topology. Fundamental Groups. Homeomorphisms

Finding the Parametric Equations from Physics!

Finding the Parametric Equations from Physics!

Vector and Parametric Equations of a Line. Introduction

Vector and Parametric Equations of a Line. Introduction

Finding Area of an Ellipse by using Parametric Equations

Finding Area of an Ellipse by using Parametric Equations

Finding Tangent Line to Parametric Curve

Finding Tangent Line to Parametric Curve

Horizontal and Vertical Tangent Lines. Application of Derivative

Horizontal and Vertical Tangent Lines. Application of Derivative

Example of Parametric equations. Matching Graphs

Example of Parametric equations. Matching Graphs

Examples of Parametric Equations

Examples of Parametric Equations

Introduction to Parametric Equations

Introduction to Parametric Equations

Fast Partial Fraction Expansion. Example

Fast Partial Fraction Expansion. Example

Fibonacci Numbers are Relatively Prime

Fibonacci Numbers are Relatively Prime

Partial Fractions In 30 Seconds!

Partial Fractions In 30 Seconds!

Conic Sections. Ellipse, Hyperbola, and Parabola are the Same Curve.

Conic Sections. Ellipse, Hyperbola, and Parabola are the Same Curve.

Finding the distance between a point and a plane

Finding the distance between a point and a plane

Understanding Implicit Differentiation. x^2+y^2=1

Understanding Implicit Differentiation. x^2+y^2=1

Sum acos(θ)+a^2cos(2θ)+a^3cos(3θ)+...

Sum acos(θ)+a^2cos(2θ)+a^3cos(3θ)+...

Riemann Sum: Finding the Definite Integral - Riemann Sums and Definite Integrals

Riemann Sum: Finding the Definite Integral - Riemann Sums and Definite Integrals

Eigenvalues and Eigenvectors Example 2x2 - Linear Algebra - How to Find Eigenvectors

Eigenvalues and Eigenvectors Example 2x2 - Linear Algebra - How to Find Eigenvectors

Undrestanding Formula for Eigenvectors and Eigenvalues

Undrestanding Formula for Eigenvectors and Eigenvalues

Epsilon-delta definition Proof. Lim(x^2)=25 when x goes to 5

Epsilon-delta definition Proof. Lim(x^2)=25 when x goes to 5

Practice 1.1. The Set of Monomials is Linearly Independent

Practice 1.1. The Set of Monomials is Linearly Independent

Linear Algebra 3.4. When a Matrix is Invertible? Part 1.

Linear Algebra 3.4. When a Matrix is Invertible? Part 1.

Proof: lim (-1)^n doesn't converge

Proof: lim (-1)^n doesn't converge

Linear Algebra 3.3. Nullity/Kernel of a Matrix A. Finding the basis.

Linear Algebra 3.3. Nullity/Kernel of a Matrix A. Finding the basis.

Linear Algebra 3.2. Matrix Diagonalization. Part 1.

Linear Algebra 3.2. Matrix Diagonalization. Part 1.

Which number is bigger? pi^3 or 3^pi. Berkeley Problems 1.17

Which number is bigger? pi^3 or 3^pi. Berkeley Problems 1.17

Linear Algebra 3.1. Linear Independence of Eigenvectors with Distinct Eigenvalues

Linear Algebra 3.1. Linear Independence of Eigenvectors with Distinct Eigenvalues

Finding Eigenvalues. Berkeley Problems 7.5.18

Finding Eigenvalues. Berkeley Problems 7.5.18

Крутой Интеграл!

Крутой Интеграл!

Introduction to Simplexes. Regular n-simplex vs. Affine n-simplex

Introduction to Simplexes. Regular n-simplex vs. Affine n-simplex

Linear Algebra 2.1. Geometric Motivation for Determinants.

Linear Algebra 2.1. Geometric Motivation for Determinants.

Introduction to Functions. What is the difference between functions and maps?

Introduction to Functions. What is the difference between functions and maps?

Peano Axioms 1.2. Constructing the Natural Numbers by Using Peano Axioms.

Peano Axioms 1.2. Constructing the Natural Numbers by Using Peano Axioms.

Peano Axioms 1.1. Introduction to Peano Axioms. Foundations of Natural Numbers

Peano Axioms 1.1. Introduction to Peano Axioms. Foundations of Natural Numbers

Polynomials 1.2. Introduction to Irreducible Polynomials.

Polynomials 1.2. Introduction to Irreducible Polynomials.

Combinatorial Proof of Binomial Theorem

Combinatorial Proof of Binomial Theorem

Polynomials 1.1. Alpha is a Root of f(x) iff f(x)=(x-Alpha)g(x)

Polynomials 1.1. Alpha is a Root of f(x) iff f(x)=(x-Alpha)g(x)

Linear Algebra 1.1. Introduction to Abstract Dot Product. Vector Spaces

Linear Algebra 1.1. Introduction to Abstract Dot Product. Vector Spaces

Linear Algebra 1.2. Deriving Dot Product Formula for n=2.

Linear Algebra 1.2. Deriving Dot Product Formula for n=2.

Introduction to Mobius Function. Part 2. Cool Property

Introduction to Mobius Function. Part 2. Cool Property

Introduction to Gradient of Scalar Field. Gradient is perpendicular to the traces of f(x,y)

Introduction to Gradient of Scalar Field. Gradient is perpendicular to the traces of f(x,y)

Definition of Scalar Field. Traces and Basic Exaple.

Definition of Scalar Field. Traces and Basic Exaple.

Prove that x^8-x^7+x^2-x+15=0 has no real solutions

Prove that x^8-x^7+x^2-x+15=0 has no real solutions

Proof of Freshman's Dream. (x+y)^p=x^p+y^p

Proof of Freshman's Dream. (x+y)^p=x^p+y^p

Nonstandard Induction. Solving n^n=(n+1)! For natural n.

Nonstandard Induction. Solving n^n=(n+1)! For natural n.

Introduction to Mobius Function.

Introduction to Mobius Function.

Introduction to Proofs. Proof by Cases. 6 | n(n+1)(n+2) for all natural n

Introduction to Proofs. Proof by Cases. 6 | n(n+1)(n+2) for all natural n

Why do we need vectors? Scalar vs. Vector Fields

Why do we need vectors? Scalar vs. Vector Fields

When x^2=1 has 4 roots?!

When x^2=1 has 4 roots?!

Proof by Contradiction. If |A|=0, then A is an empty set.

Proof by Contradiction. If |A|=0, then A is an empty set.

The Power of Contrapositive Proof

The Power of Contrapositive Proof

Combinatorial Proof of Exclusion-inclusion Principle

Combinatorial Proof of Exclusion-inclusion Principle

There Exists Two Irrational Numbers a and b s.t. a^b is Rational

There Exists Two Irrational Numbers a and b s.t. a^b is Rational

About Mathematics.

About Mathematics.

Number of Binary Operations for Finite sets. First Examples

Number of Binary Operations for Finite sets. First Examples

Introduction to Binary Operations

Introduction to Binary Operations

Properties of Binary Operations. Introduction

Properties of Binary Operations. Introduction

How Many Binary Operations on a Finite Set with n Elements?

How Many Binary Operations on a Finite Set with n Elements?

Infinite Gaps Between Prime Numbers

Infinite Gaps Between Prime Numbers

Totient Function for Product of Two Primes Numbers. Application of Inclusion-exclusion Principle

Totient Function for Product of Two Primes Numbers. Application of Inclusion-exclusion Principle