Канал: Professor Macauley

What is...a Cayley diagram?

What is...a Cayley diagram?

Advanced Linear Algebra, Lecture 7.2: Nonstandard inner products and Gram matrices

Advanced Linear Algebra, Lecture 7.2: Nonstandard inner products and Gram matrices

Advanced Linear Algebra, Lecture 7.1: Definiteness and indefiniteness

Advanced Linear Algebra, Lecture 7.1: Definiteness and indefiniteness

Advanced Linear Algebra Lecture 6.5: Self-adjoint differential operators

Advanced Linear Algebra Lecture 6.5: Self-adjoint differential operators

Advanced Linear Algebra, Lecture 6.4: The Rayleigh quotient

Advanced Linear Algebra, Lecture 6.4: The Rayleigh quotient

Advanced Linear Algebra, Lecture 5.9: Complex inner product spaces

Advanced Linear Algebra, Lecture 5.9: Complex inner product spaces

Advanced Linear Algebra, Lecture 5.7: The norm of a linear map

Advanced Linear Algebra, Lecture 5.7: The norm of a linear map

Advanced Linear Algebra, Lecture 5.6: Isometries

Advanced Linear Algebra, Lecture 5.6: Isometries

Advanced Linear Algebra, Lecture 5.5: Projection and Least Squares

Advanced Linear Algebra, Lecture 5.5: Projection and Least Squares

Advanced Linear Algebra, Lecture 5.4: Adjoints

Advanced Linear Algebra, Lecture 5.4: Adjoints

Advanced Linear Algebra, Lecture 6.3: Normal linear maps

Advanced Linear Algebra, Lecture 6.3: Normal linear maps

Advanced Linear Algebra, Lecture 6.2: Spectral resolutions

Advanced Linear Algebra, Lecture 6.2: Spectral resolutions

Advanced Linear Algebra, Lecture 6.1: Quadratic forms

Advanced Linear Algebra, Lecture 6.1: Quadratic forms

Advanced Linear Algebra, Lecture 5.3: Gram-Schmidt and orthogonal projection

Advanced Linear Algebra, Lecture 5.3: Gram-Schmidt and orthogonal projection

Advanced Linear Algebra, Lecture 5.2: Orthogonality

Advanced Linear Algebra, Lecture 5.2: Orthogonality

Advanced Linear Algebra, Lecture 5.1: Inner products and Euclidean structure

Advanced Linear Algebra, Lecture 5.1: Inner products and Euclidean structure

Advanced Linear Algebra, Lecture 4.7: Jordan canonical form

Advanced Linear Algebra, Lecture 4.7: Jordan canonical form

Advanced Linear Algebra, Lecture 4.6: Generalized eigenspaces

Advanced Linear Algebra, Lecture 4.6: Generalized eigenspaces

Advanced Linear Algebra, Lecture 4.5: The spectral theorem

Advanced Linear Algebra, Lecture 4.5: The spectral theorem

Advanced Linear Algebra, Lecture 4.4: Invariant subspaces

Advanced Linear Algebra, Lecture 4.4: Invariant subspaces

Advanced Linear Algebra, Lecture 4.3: Generalized eigenvectors

Advanced Linear Algebra, Lecture 4.3: Generalized eigenvectors

Advanced Linear Algebra, Lecture 4.2: The Cayley-Hamilton theorem

Advanced Linear Algebra, Lecture 4.2: The Cayley-Hamilton theorem

Advanced Linear Algebra, Lecture 4.1: Eigenvalues and eigenvectors

Advanced Linear Algebra, Lecture 4.1: Eigenvalues and eigenvectors

Advanced Linear Algebra, Lecture 3.7: Tensors

Advanced Linear Algebra, Lecture 3.7: Tensors

Advanced Linear Algebra, Lecture 3.5: The determinant and trace of a matrix

Advanced Linear Algebra, Lecture 3.5: The determinant and trace of a matrix

Advanced Linear Algebra, Lecture 3.6: Minors and cofactors

Advanced Linear Algebra, Lecture 3.6: Minors and cofactors

Advanced Linear Algebra, Lecture 3.4: The determinant of a linear map

Advanced Linear Algebra, Lecture 3.4: The determinant of a linear map

Advanced Linear Algebra, Lecture 3.3: Alternating multilinear forms

Advanced Linear Algebra, Lecture 3.3: Alternating multilinear forms

Advanced Linear Algebra, Lecture 3.2: Symmetric and skew-symmetric multilinear forms

Advanced Linear Algebra, Lecture 3.2: Symmetric and skew-symmetric multilinear forms

Advanced Linear Algebra, Lecture 3.1: Determinant prerequisites

Advanced Linear Algebra, Lecture 3.1: Determinant prerequisites

Advanced Linear Algebra, Lecture 2.7: Change of basis

Advanced Linear Algebra, Lecture 2.7: Change of basis

Advanced Linear Algebra, Lecture 2.6: Matrices

Advanced Linear Algebra, Lecture 2.6: Matrices

Advanced Linear Algebra, Lecture 2.5: The transpose of a linear map

Advanced Linear Algebra, Lecture 2.5: The transpose of a linear map

Advanced Linear Algebra, Lecture 2.4: The four subspaces

Advanced Linear Algebra, Lecture 2.4: The four subspaces

Advanced Linear Algebra, Lecture 2.3: Algebra of linear mappings

Advanced Linear Algebra, Lecture 2.3: Algebra of linear mappings

Advanced Linear Algebra, Lecture 2.2: Applications of the rank-nullity theorem

Advanced Linear Algebra, Lecture 2.2: Applications of the rank-nullity theorem

Advanced Linear Algebra, Lecture 1.6: Annihilators

Advanced Linear Algebra, Lecture 1.6: Annihilators

Advanced Linear Algebra, Lecture 2.1: Rank and nullity

Advanced Linear Algebra, Lecture 2.1: Rank and nullity

Advanced Linear Algebra, Lecture 1.5: Dual vector spaces

Advanced Linear Algebra, Lecture 1.5: Dual vector spaces

Advanced Linear Algebra, Lecture 1.4: Quotient spaces

Advanced Linear Algebra, Lecture 1.4: Quotient spaces

Advanced Linear Algebra, Lecture 1.2: Spanning, independence, and bases

Advanced Linear Algebra, Lecture 1.2: Spanning, independence, and bases

Advanced Linear Algebra, Lecture 1.1: Vector spaces and linearity

Advanced Linear Algebra, Lecture 1.1: Vector spaces and linearity

Advanced Linear Algebra, Lecture 1.3: Direct sums and products

Advanced Linear Algebra, Lecture 1.3: Direct sums and products

Advanced Engineering Mathematics, Lecture 6.4: Solving PDEs with Fourier Transforms

Advanced Engineering Mathematics, Lecture 6.4: Solving PDEs with Fourier Transforms

Advanced Engineering Mathematics, Lecture 6.3: Solving PDEs with Laplace transforms

Advanced Engineering Mathematics, Lecture 6.3: Solving PDEs with Laplace transforms

Discrete Mathematical Structures, Lecture 5.3: Why RSA works

Discrete Mathematical Structures, Lecture 5.3: Why RSA works

Discrete Mathematical Structures, Lecture 5.2: Public-key cryptography and RSA

Discrete Mathematical Structures, Lecture 5.2: Public-key cryptography and RSA

Discrete Mathematical Structures, Lecture 5.1: Symmetric cryptographic ciphers

Discrete Mathematical Structures, Lecture 5.1: Symmetric cryptographic ciphers

Discrete Mathematical Structures, Lecture 4.5: Cardinality and infinite sets

Discrete Mathematical Structures, Lecture 4.5: Cardinality and infinite sets

Discrete Mathematical Structures, Lecture 4.4: Functions

Discrete Mathematical Structures, Lecture 4.4: Functions

Discrete Mathematical Structures, Lecture 4.3: Partially ordered sets

Discrete Mathematical Structures, Lecture 4.3: Partially ordered sets

Discrete Mathematical Structure, Lecture 4.2: Equivalence relations and equivalence classes

Discrete Mathematical Structure, Lecture 4.2: Equivalence relations and equivalence classes

Discrete Mathematical Structures, Lecture 3.7: The Euclidean algorithm

Discrete Mathematical Structures, Lecture 3.7: The Euclidean algorithm

Discrete Mathematical Structures, Lecture 3.6: Quotient, remainder, ceiling and floor

Discrete Mathematical Structures, Lecture 3.6: Quotient, remainder, ceiling and floor

Discrete Mathematical Structures, Lecture 3.5: Rational and irrational numbers

Discrete Mathematical Structures, Lecture 3.5: Rational and irrational numbers

Discrete Mathematical Structures, Lecture 3.4: Divisibility and primes

Discrete Mathematical Structures, Lecture 3.4: Divisibility and primes

Discrete Mathematical Structures, Lecture 2.9: Russell's paradox and the halting problem

Discrete Mathematical Structures, Lecture 2.9: Russell's paradox and the halting problem

Discrete Mathematical Structures, Lecture 2.4: Axiomatic systems

Discrete Mathematical Structures, Lecture 2.4: Axiomatic systems

Discrete Mathematical Structures, Lecture 2.2: Tautology and contradiction

Discrete Mathematical Structures, Lecture 2.2: Tautology and contradiction

Discrete Mathematical Structures, Lecture 2.3: Equivalence and Implication

Discrete Mathematical Structures, Lecture 2.3: Equivalence and Implication

Discrete Mathematical Structures, Lecture 2.1: Propositions and logical operators

Discrete Mathematical Structures, Lecture 2.1: Propositions and logical operators

Discrete Mathematical Structures, Lecture 4.1: Binary relations on a set

Discrete Mathematical Structures, Lecture 4.1: Binary relations on a set

Discrete Mathematical Structures, Lecture 1.5: Multisets and multichoosing.

Discrete Mathematical Structures, Lecture 1.5: Multisets and multichoosing.

Discrete Mathematical Structures, Lecture 1.4: Binomial and multinomial coefficients

Discrete Mathematical Structures, Lecture 1.4: Binomial and multinomial coefficients

Discrete Mathematical Structures, Lecture 1.3: Permutations and combinations

Discrete Mathematical Structures, Lecture 1.3: Permutations and combinations

Discrete Mathematical Structures, Lecture 1.2: Inclusion-exclusion

Discrete Mathematical Structures, Lecture 1.2: Inclusion-exclusion

Discrete Mathematical Structures, Lecture 1.1: Basic set theory

Discrete Mathematical Structures, Lecture 1.1: Basic set theory

Discrete Mathematical Structures, Lecture 2.8: Set-theoretic proofs

Discrete Mathematical Structures, Lecture 2.8: Set-theoretic proofs

Differential Equations, Lecture 4.9: Variation of parameters for systems

Differential Equations, Lecture 4.9: Variation of parameters for systems

Discrete Mathematical Structures, Lecture 3.3: Proving universal statements

Discrete Mathematical Structures, Lecture 3.3: Proving universal statements

Discrete Mathematical Structures, Lecture 3.2: Parity, and proving existential statements

Discrete Mathematical Structures, Lecture 3.2: Parity, and proving existential statements

Discrete Mathematical Structures, Lecture 3.1: The pigeonhole principle

Discrete Mathematical Structures, Lecture 3.1: The pigeonhole principle

Discrete Mathematical Structures, Lecture 2.7: Quantifiers

Discrete Mathematical Structures, Lecture 2.7: Quantifiers

Discrete Mathematical Structures, Lecture 2.5: Proofs in propositional calculus

Discrete Mathematical Structures, Lecture 2.5: Proofs in propositional calculus

Discrete Mathematical Structures, Lecture 2.6: Propositions over a universe

Discrete Mathematical Structures, Lecture 2.6: Propositions over a universe

Discrete Mathematical Structures, Lecture 1.6: Combinatorial proofs

Discrete Mathematical Structures, Lecture 1.6: Combinatorial proofs

Advanced Engineering Mathematics, Lecture 6.2: Semi-infinite domains and the reflection method

Advanced Engineering Mathematics, Lecture 6.2: Semi-infinite domains and the reflection method

Advanced Engineering Mathematics, Lecture 6.1: The Heat and Wave Equations on the Real Line

Advanced Engineering Mathematics, Lecture 6.1: The Heat and Wave Equations on the Real Line

Advanced Engineering Mathematics, Lecture 5.4: The Schrödinger Equation

Advanced Engineering Mathematics, Lecture 5.4: The Schrödinger Equation

Advanced Engineering Mathematics, Lecture 7.4: The Laplacian in polar coordinates

Advanced Engineering Mathematics, Lecture 7.4: The Laplacian in polar coordinates

Advanced Engineering Mathematics, Lecture 7.3: The heat and wave equation in higher dimensions

Advanced Engineering Mathematics, Lecture 7.3: The heat and wave equation in higher dimensions

Advanced Engineering Mathematics, Lecture 7.2: Eigenfunctions of the Laplacian

Advanced Engineering Mathematics, Lecture 7.2: Eigenfunctions of the Laplacian

Advanced Engineering Mathematics, Lecture 7.1: Harmonic functions and Laplace's equation

Advanced Engineering Mathematics, Lecture 7.1: Harmonic functions and Laplace's equation

Advanced Engineering Mathematics, Lecture 5.3: The transport and heat equations

Advanced Engineering Mathematics, Lecture 5.3: The transport and heat equations

Advanced Engineering Mathematics, Lecture 5.2: Different boundary conditions for the heat equation

Advanced Engineering Mathematics, Lecture 5.2: Different boundary conditions for the heat equation

Advanced Engineering Mathematics, Lecture 5.1: Fourier's law and the diffusion equation

Advanced Engineering Mathematics, Lecture 5.1: Fourier's law and the diffusion equation

Advanced Engineering Mathematics, Lecture 3.8: Pythagoras, Parseval, and Plancherel

Advanced Engineering Mathematics, Lecture 3.8: Pythagoras, Parseval, and Plancherel

Advanced Engineering Mathematics, Lecture 3.7: Fourier transforms

Advanced Engineering Mathematics, Lecture 3.7: Fourier transforms

Advanced Engineering Mathematics, Lecture 4.6: Some special orthogonal functions

Advanced Engineering Mathematics, Lecture 4.6: Some special orthogonal functions

Advanced Engineering Mathematics, Lecture 4.5: Generalized Fourier series

Advanced Engineering Mathematics, Lecture 4.5: Generalized Fourier series

Advanced Engineering Mathematics, Lecture 4.4: Sturm-Liouville theory

Advanced Engineering Mathematics, Lecture 4.4: Sturm-Liouville theory

Advanced Engineering Mathematics, Lecture 4.3: Self-adjoint linear operators

Advanced Engineering Mathematics, Lecture 4.3: Self-adjoint linear operators

Advanced Engineering Mathematics, Lecture 4.2: Symmetric and Hermitian matrices

Advanced Engineering Mathematics, Lecture 4.2: Symmetric and Hermitian matrices

Advanced Engineering Mathematics, Lecture 4.1: Boundary value problems

Advanced Engineering Mathematics, Lecture 4.1: Boundary value problems

Advanced Engineering Mathematics, Lecture 3.6: Real vs. complex Fourier series

Advanced Engineering Mathematics, Lecture 3.6: Real vs. complex Fourier series

Advanced Engineering Mathematics, Lecture 3.5: Complex inner products and Fourier series

Advanced Engineering Mathematics, Lecture 3.5: Complex inner products and Fourier series

Advanced Engineering Mathematics, Lecture 3.4: Fourier sine and cosine series

Advanced Engineering Mathematics, Lecture 3.4: Fourier sine and cosine series

Advanced Engineering Mathematics, Lecture 3.3: Solving ODEs with Fourier series

Advanced Engineering Mathematics, Lecture 3.3: Solving ODEs with Fourier series

Advanced Engineering Mathematics, Lecture 3.2: Computing Fourier series and exploiting symmetry

Advanced Engineering Mathematics, Lecture 3.2: Computing Fourier series and exploiting symmetry

Advanced Engineering Mathematics, Lecture 2.7: Bessel's equation

Advanced Engineering Mathematics, Lecture 2.7: Bessel's equation

Advanced Engineering Mathematics, Lecture 3.1: Fourier series and orthogonality

Advanced Engineering Mathematics, Lecture 3.1: Fourier series and orthogonality

Advanced Engineering Mathematics, Lecture 2.6: Singular points and the Frobenius method

Advanced Engineering Mathematics, Lecture 2.6: Singular points and the Frobenius method

Advanced Engineering Mathematics, Lecture 2.5: Power series solutions to ODEs

Advanced Engineering Mathematics, Lecture 2.5: Power series solutions to ODEs

Advanced Engineering Mathematics, Lecture 2.3: Inhomogeneous ODEs and affine spaces

Advanced Engineering Mathematics, Lecture 2.3: Inhomogeneous ODEs and affine spaces

Advanced Engineering Mathematics, Lecture 2.2: Linear independence and the Wronskian

Advanced Engineering Mathematics, Lecture 2.2: Linear independence and the Wronskian

Advanced Engineering Mathematics, Lecture 2.4: Undetermined coefficients

Advanced Engineering Mathematics, Lecture 2.4: Undetermined coefficients

Advanced Engineering Mathematics, Lecture 2.1: The fundamental theorem of linear ODEs

Advanced Engineering Mathematics, Lecture 2.1: The fundamental theorem of linear ODEs

Advanced Engineering Mathematics, Lecture 1.4: Inner products and orthogonality

Advanced Engineering Mathematics, Lecture 1.4: Inner products and orthogonality

Advanced Engineering Mathematics, Lecture 1.3: Linear maps

Advanced Engineering Mathematics, Lecture 1.3: Linear maps

Advanced Engineering Mathematics, Lecture 1.2: Linear independence and spanning sets

Advanced Engineering Mathematics, Lecture 1.2: Linear independence and spanning sets

Advanced Engineering Mathematics, Lecture 1.1: Vector spaces

Advanced Engineering Mathematics, Lecture 1.1: Vector spaces

Differential Equations, Lecture 3.4: Simple harmonic motion

Differential Equations, Lecture 3.4: Simple harmonic motion

Differential Equations, Lecture 8.3: Predator-prey models

Differential Equations, Lecture 8.3: Predator-prey models

Differential Equations, Lecture 8.2: Linearization and steady-state analysis

Differential Equations, Lecture 8.2: Linearization and steady-state analysis

Differential Equations, Lecture 8.1: Modeling with nonlinear systems

Differential Equations, Lecture 8.1: Modeling with nonlinear systems

Visual Group Theory: Lecture 7.5: Euclidean domains and algebraic integers

Visual Group Theory: Lecture 7.5: Euclidean domains and algebraic integers

Visual Group Theory: Lecture 7.4: Divisibility and factorization

Visual Group Theory: Lecture 7.4: Divisibility and factorization

Visual Group Theory, Lecture 7.3: Ring homomorphisms

Visual Group Theory, Lecture 7.3: Ring homomorphisms

Visual Group Theory, Lecture 7.2: Ideals, quotient rings, and finite fields

Visual Group Theory, Lecture 7.2: Ideals, quotient rings, and finite fields

Visual Group Theory, Lecture 7.1: Basic ring theory

Visual Group Theory, Lecture 7.1: Basic ring theory

Visual Group Theory, Lecture 6.8: Impossibility proofs

Visual Group Theory, Lecture 6.8: Impossibility proofs

Visual Group Theory, Lecture 6.7: Ruler and compass constructions

Visual Group Theory, Lecture 6.7: Ruler and compass constructions

Visual Group Theory, Lecture 6.6: The fundamental theorem of Galois theory

Visual Group Theory, Lecture 6.6: The fundamental theorem of Galois theory

Visual Group Theory, Lecture 6.5: Galois group actions and normal field extensions

Visual Group Theory, Lecture 6.5: Galois group actions and normal field extensions

Visual Group Theory, Lecture 6.4: Galois groups

Visual Group Theory, Lecture 6.4: Galois groups

Visual Group Theory, Lecture 4.6: Automorphisms

Visual Group Theory, Lecture 4.6: Automorphisms

Visual Group Theory, Lecture 6.3: Polynomials and irreducibility

Visual Group Theory, Lecture 6.3: Polynomials and irreducibility

Visual Group Theory, Lecture 6.2: Field automorphisms

Visual Group Theory, Lecture 6.2: Field automorphisms

Visual Group Theory, Lecture 6.1: Fields and their extensions

Visual Group Theory, Lecture 6.1: Fields and their extensions

Visual Group Theory, Lecture 5.1: Groups acting on sets

Visual Group Theory, Lecture 5.1: Groups acting on sets

Visual Group Theory, Lecture 5.7: Finite simple groups

Visual Group Theory, Lecture 5.7: Finite simple groups

Visual Group Theory, Lecture 5.6: The Sylow theorems

Visual Group Theory, Lecture 5.6: The Sylow theorems

Visual Group Thoery, Lecture 5.5: p-groups

Visual Group Thoery, Lecture 5.5: p-groups

Visual Group Theory, Lecture 5.4: Fixed points and Cauchy's theorem

Visual Group Theory, Lecture 5.4: Fixed points and Cauchy's theorem

Visual Group Theory, Lecture 5.3: Examples of group actions

Visual Group Theory, Lecture 5.3: Examples of group actions

Visual Group Theory, Lecture 5.2: The orbit-stabilizer theorem

Visual Group Theory, Lecture 5.2: The orbit-stabilizer theorem

Visual Group Theory, Lecture 4.5: The isomorphism theorems

Visual Group Theory, Lecture 4.5: The isomorphism theorems

Visual Group Theory, Lecture 4.4: Finitely generated abelian groups

Visual Group Theory, Lecture 4.4: Finitely generated abelian groups

Visual Group Theory, Lecture 4.3: The fundamental homomorphism theorem

Visual Group Theory, Lecture 4.3: The fundamental homomorphism theorem

Visual Group Theory, Lecture 4.2: Kernels

Visual Group Theory, Lecture 4.2: Kernels

Visual Group Theory, Lecture 4.1: Homomorphisms and isomorphisms

Visual Group Theory, Lecture 4.1: Homomorphisms and isomorphisms

Visual Group Theory, Lecture 3.7: Conjugacy classes

Visual Group Theory, Lecture 3.7: Conjugacy classes

Visual Group Theory, Lecture 3.6: Normalizers

Visual Group Theory, Lecture 3.6: Normalizers

Visual Group Theory, Lecture 3.5: Quotient groups

Visual Group Theory, Lecture 3.5: Quotient groups

Visual Group Theory, Lecture 3.4: Direct products

Visual Group Theory, Lecture 3.4: Direct products

Visual Group Theory, Lecture 3.3: Normal subgroups

Visual Group Theory, Lecture 3.3: Normal subgroups

Visual Group Theory, Lecture 3.2: Cosets

Visual Group Theory, Lecture 3.2: Cosets

Visual Group Theory, Lecture 3.1: Subgroups

Visual Group Theory, Lecture 3.1: Subgroups

Visual Group Theory, Lecture 2.4: Cayley's theorem

Visual Group Theory, Lecture 2.4: Cayley's theorem

Visual Group Theory, Lecture 2.3: Symmetric and alternating groups

Visual Group Theory, Lecture 2.3: Symmetric and alternating groups

Visual Group Theory, Lecture 2.2: Dihedral groups

Visual Group Theory, Lecture 2.2: Dihedral groups

Visual Group Theory, Lecture 2.1: Cyclic and abelian groups

Visual Group Theory, Lecture 2.1: Cyclic and abelian groups

Visual Group Theory, Lecture 1.6: The formal definition of a group

Visual Group Theory, Lecture 1.6: The formal definition of a group

Visual Group Theory, Lecture 1.5: Multiplication tables

Visual Group Theory, Lecture 1.5: Multiplication tables

Visual Group Theory, Lecture 1.4: Group presentations

Visual Group Theory, Lecture 1.4: Group presentations

Visual Group Theory, Lecture 1.3: Groups in science, art, and mathematics

Visual Group Theory, Lecture 1.3: Groups in science, art, and mathematics

Visual Group Theory, Lecture 1.2: Cayley graphs

Visual Group Theory, Lecture 1.2: Cayley graphs

Visual Group Theory, Lecture 1.1: What is a group?

Visual Group Theory, Lecture 1.1: What is a group?

Math 4500, Difference Equations

Math 4500, Difference Equations

Differential Equations, Lecture 4.3: Mixing problems with two tanks.

Differential Equations, Lecture 4.3: Mixing problems with two tanks.

Differential Equations, Lecture 7.8: The 2D wave equation

Differential Equations, Lecture 7.8: The 2D wave equation

Differential Equations, Lecture 7.7: The 2D heat equation

Differential Equations, Lecture 7.7: The 2D heat equation

Differential Equations, Lecture 7.6: Laplace's equation

Differential Equations, Lecture 7.6: Laplace's equation

Differential Equations, Lecture 7.5: Harmonic functions

Differential Equations, Lecture 7.5: Harmonic functions

Differential Equations, Lecture 4.8: Stability of phase portraits

Differential Equations, Lecture 4.8: Stability of phase portraits

Differential Equations, Lecture 4.7: Phase portraits with repeated eigenvalues

Differential Equations, Lecture 4.7: Phase portraits with repeated eigenvalues

Differential Equations, Lecture 4.6: Phase portraits with complex eigenvalues

Differential Equations, Lecture 4.6: Phase portraits with complex eigenvalues

Differential Equations, Lecture 4.5: Phase portraits with real eigenvalues

Differential Equations, Lecture 4.5: Phase portraits with real eigenvalues

Differential Equations, Lecture 4.4: Solving 2x2 systems of ODEs

Differential Equations, Lecture 4.4: Solving 2x2 systems of ODEs

Differential Equations, Lecture 4.8: Stability of phase portraits (Synching error)

Differential Equations, Lecture 4.8: Stability of phase portraits (Synching error)

Math 2080, Lecture 4.7 (old!)

Math 2080, Lecture 4.7 (old!)

Differential Equations, Lecture 4.3: Mixing problems with two tanks

Differential Equations, Lecture 4.3: Mixing problems with two tanks

Differential Equations, Lecture 4.2: Eigenvalues and eigenvectors

Differential Equations, Lecture 4.2: Eigenvalues and eigenvectors

Differential Equations, Lecture 4.1: Basic matrix algebra

Differential Equations, Lecture 4.1: Basic matrix algebra

Differential Equations, Lecture 3.5: Damped & driven harmonic motion

Differential Equations, Lecture 3.5: Damped & driven harmonic motion

Differential Equations, Lecture 3.3: The method of undetermined coefficients

Differential Equations, Lecture 3.3: The method of undetermined coefficients

Differential Equations, Lecture 7.4: The wave equation

Differential Equations, Lecture 7.4: The wave equation

Differential Equations, Lecture 7.3: The transport equation

Differential Equations, Lecture 7.3: The transport equation

Differential Equations, Lecture 3.2: 2nd order ODEs with constant coefficients

Differential Equations, Lecture 3.2: 2nd order ODEs with constant coefficients

Differential Equations, Lecture 3.1: Second order ODEs

Differential Equations, Lecture 3.1: Second order ODEs

Differential Equations, Lecture 2.8: The logistic equation

Differential Equations, Lecture 2.8: The logistic equation

Differential Equations, Lecture 7.2: Different boundary conditions.

Differential Equations, Lecture 7.2: Different boundary conditions.

Differential Equations, Lecture 7.1: The heat equation

Differential Equations, Lecture 7.1: The heat equation

Differential Equations, Lecture 3.6: Variation of parameters

Differential Equations, Lecture 3.6: Variation of parameters

Differential Equations, Lecture 2.7: Advanced mixing problems

Differential Equations, Lecture 2.7: Advanced mixing problems

Differential Equations, Lecture 2.6: Basic mixing problems

Differential Equations, Lecture 2.6: Basic mixing problems

Differential Equations, Lecture 2.5: Linear differential equations

Differential Equations, Lecture 2.5: Linear differential equations

Differential Equations, Lecture 2.4: Solving 1st order inhomogeneous ODEs

Differential Equations, Lecture 2.4: Solving 1st order inhomogeneous ODEs

Differential Equations, Lecture 2.2: Initial value problems

Differential Equations, Lecture 2.2: Initial value problems

Differential Equations, Lecture 2.1: Separation of variables

Differential Equations, Lecture 2.1: Separation of variables

Differential Equations, Lecture 1.3: Euler's method

Differential Equations, Lecture 1.3: Euler's method

Differential Equations, Lecture 1.2: Plotting solutions to differential equations

Differential Equations, Lecture 1.2: Plotting solutions to differential equations

Calculus II, Lecture 4: Work

Calculus II, Lecture 4: Work

Differential Equations, Lecture 6.6: Boundary value problems

Differential Equations, Lecture 6.6: Boundary value problems

Differential Equations, Lecture 6.5: Applications of Fourier series

Differential Equations, Lecture 6.5: Applications of Fourier series

Differential Equations, Lecture 6.4: Complex Fourier series

Differential Equations, Lecture 6.4: Complex Fourier series

Differential Equations, Lecture 6.3: Fourier sine & cosine series

Differential Equations, Lecture 6.3: Fourier sine & cosine series

Differential Equations, Lecture 6.2: Computing Fourier series

Differential Equations, Lecture 6.2: Computing Fourier series

Differential Equations, Lecture 6.1: Introduction to Fourier series

Differential Equations, Lecture 6.1: Introduction to Fourier series

Differential Equations, Lecture 3.9: The method of Frobenius

Differential Equations, Lecture 3.9: The method of Frobenius