Канал: Alan Ableson

Week 8-11 Moving Between Standard Matrix and the Matching Linear Transform

Week 8-11 Moving Between Standard Matrix and the Matching Linear Transform

Week 8-10 Matrices of Linear Transformation Examples

Week 8-10 Matrices of Linear Transformation Examples

Week 8-9 Key Property of Linear Transformations

Week 8-9 Key Property of Linear Transformations

Week 8-8 Matrices Defined by Linear Transformations

Week 8-8 Matrices Defined by Linear Transformations

Week 8-7 Function Composition

Week 8-7 Function Composition

Week 8-6 Bases in transformations and Im(L)

Week 8-6 Bases in transformations and Im(L)

Week 8-5 Examples of the Image of Linear Transformations

Week 8-5 Examples of the Image of Linear Transformations

Week 8-4 Injective Functions and the Kernel

Week 8-4 Injective Functions and the Kernel

Week 8-3 Image is a Vector Subspace

Week 8-3 Image is a Vector Subspace

Week 8-2 Kernel and Image of Linear Transformations

Week 8-2 Kernel and Image of Linear Transformations

Week 8-1 Review of Linear Transformations

Week 8-1 Review of Linear Transformations

Week 7-3 Dimension Examples

Week 7-3 Dimension Examples

Week 7-4 Corrolaries to Vector Space Dimension

Week 7-4 Corrolaries to Vector Space Dimension

Week 7-5 Introducing Linear Transformations

Week 7-5 Introducing Linear Transformations

Week 7-6 Testing for Linearity

Week 7-6 Testing for Linearity

Week 7-7 Kernel of a Linear Transformation

Week 7-7 Kernel of a Linear Transformation

Week 7-9 Kernel Applied to Differential Equations

Week 7-9 Kernel Applied to Differential Equations

Week 7-1 Review of Generating Sets and Bases

Week 7-1 Review of Generating Sets and Bases

Week 7-2 Dimension of a Vector Space

Week 7-2 Dimension of a Vector Space

Week 7-8 Kernel as a Vector Subspace

Week 7-8 Kernel as a Vector Subspace

Week11 Page27 Notes on Eigenvalues and Eigenvectors

Week11 Page27 Notes on Eigenvalues and Eigenvectors

Week11 Page24 Computing Eigenvectors 3x3

Week11 Page24 Computing Eigenvectors 3x3

Week11 Page20 Computing Eigenvalues 3x3

Week11 Page20 Computing Eigenvalues 3x3

Week11 Page21 Computing Eigenvectors 2x2

Week11 Page21 Computing Eigenvectors 2x2

Week11 Page18 Computing Eigenvalues 2x2

Week11 Page18 Computing Eigenvalues 2x2

Week11 Page16 Eigenvalue and Eigenvector Equation

Week11 Page16 Eigenvalue and Eigenvector Equation

Week11 Page11 Vector Scalings By Matrices

Week11 Page11 Vector Scalings By Matrices

Week11 Page08 Optional 3x3 Invertibility With Adjoint

Week11 Page08 Optional 3x3 Invertibility With Adjoint

Week11 Page01 Invertibility With RREF and Adjoint Process

Week11 Page01 Invertibility With RREF and Adjoint Process

Week12 Page29 Eigenvector Applications

Week12 Page29 Eigenvector Applications

Week12 Page24 Tank Problem Predictions using Eigenvectors

Week12 Page24 Tank Problem Predictions using Eigenvectors

Week12 Page21 Tank Problem Eigenvalues and Eigenvectors

Week12 Page21 Tank Problem Eigenvalues and Eigenvectors

Week12 Page14 The Tank Problem

Week12 Page14 The Tank Problem

Week12 Page10 TransformingMatrices

Week12 Page10 TransformingMatrices

Week12 Page06 Eigenvectors and Eigenspaces

Week12 Page06 Eigenvectors and Eigenspaces

Week12 Page01 Review And Number Of Eigenvalues

Week12 Page01 Review And Number Of Eigenvalues

Week10 Page08 Invertibility of Linear Functions

Week10 Page08 Invertibility of Linear Functions

Week10 Page13 Rank Nullity and Invertibility

Week10 Page13 Rank Nullity and Invertibility

Week10 Page17 Computing the Inverse Matrix

Week10 Page17 Computing the Inverse Matrix

Week10 Page20 Inverse Matrix Example 2

Week10 Page20 Inverse Matrix Example 2

Week10 Page23 Properties of the Inverse Matrix

Week10 Page23 Properties of the Inverse Matrix

Week10 Page24 Alternative Test and Determinant Introduction

Week10 Page24 Alternative Test and Determinant Introduction

Week10 Page33 Determinant Composition and Invertibility

Week10 Page33 Determinant Composition and Invertibility

Week10 Page37 Computing Determinants for 2x2 and 3x3

Week10 Page37 Computing Determinants for 2x2 and 3x3

Week10 Page40 Computing Determinants for nxn

Week10 Page40 Computing Determinants for nxn

Week10 Page05 Invertibility

Week10 Page05 Invertibility

Week10 Page01 Linear Transform Review

Week10 Page01 Linear Transform Review

Linear Algebra Week 6 Lecture 3 - Generating Sets, Bases, and Coordinates

Linear Algebra Week 6 Lecture 3 - Generating Sets, Bases, and Coordinates

Linear Algebra Week 6 Lecture 2 - Interpreting RREF form

Linear Algebra Week 6 Lecture 2 - Interpreting RREF form

Linear Algebra Week 6 Lecture 1 - Solving Systems of Equations with Gaussian Elimination

Linear Algebra Week 6 Lecture 1 - Solving Systems of Equations with Gaussian Elimination

Linear Algebra Week 5 Lecture 3 - Solving Linear Sytems

Linear Algebra Week 5 Lecture 3 - Solving Linear Sytems

Linear Algebra Week 5 Lecture 2 - Proofs Relating Linear Independence and Linear Equations

Linear Algebra Week 5 Lecture 2 - Proofs Relating Linear Independence and Linear Equations

Linear Algebra Week 5 Lecture 1 - Linear Independence and Systems of Linear Equations

Linear Algebra Week 5 Lecture 1 - Linear Independence and Systems of Linear Equations

Linear Algebra Week 4 Lecture 3 - Linear Independence - Further Examples

Linear Algebra Week 4 Lecture 3 - Linear Independence - Further Examples

Linear Algebra Week 4 Lecture 2 - Properties of Linear Independent/Dependent Sets

Linear Algebra Week 4 Lecture 2 - Properties of Linear Independent/Dependent Sets

Linear Algebra Week 4 Lecture 1 - Linear Independence

Linear Algebra Week 4 Lecture 1 - Linear Independence

Linear Algebra Week 3 Lecture 3 - Linear Combinations and Span

Linear Algebra Week 3 Lecture 3 - Linear Combinations and Span

Linear Algebra Week 3 Lecture 2 - Vector subspaces

Linear Algebra Week 3 Lecture 2 - Vector subspaces

Linear Algebra Week 3 Lecture 1 - Vector Subspace Definitions and Examples

Linear Algebra Week 3 Lecture 1 - Vector Subspace Definitions and Examples

Linear Algebra Week 2 Lecture 3 - Theorems for Vector Spaces

Linear Algebra Week 2 Lecture 3 - Theorems for Vector Spaces

Linear Algebra Week 2 Lecture 2 - Function Spaces; Some Unusual Vector Spaces

Linear Algebra Week 2 Lecture 2 - Function Spaces; Some Unusual Vector Spaces

Linear Algebra Week 2 Lecture 1 - The 8 Axioms of a Vector Space

Linear Algebra Week 2 Lecture 1 - The 8 Axioms of a Vector Space

Linear Algebra Week 1 Lecture 3 - Set Combinations; Functions in Linear Algebra

Linear Algebra Week 1 Lecture 3 - Set Combinations; Functions in Linear Algebra

Linear Algebra Week 1 Lecture 2 - Set Notation and Working with Sets

Linear Algebra Week 1 Lecture 2 - Set Notation and Working with Sets

Linear Algebra Week 1 Lecture 1 - Course Introduction; Linear Algebra in Engineering

Linear Algebra Week 1 Lecture 1 - Course Introduction; Linear Algebra in Engineering

CE Winterfest 2024 - Adult Master's Team - Kingston Elite

CE Winterfest 2024 - Adult Master's Team - Kingston Elite

Topic 10-8 Complex Conjugate Pairs

Topic 10-8 Complex Conjugate Pairs

ScalingEigenvalues2 - Showing vectors along some axes are purely scaled.

ScalingEigenvalues2 - Showing vectors along some axes are purely scaled.

Tank1c - Linear Transformations Using Eigenvalue Basis

Tank1c - Linear Transformations Using Eigenvalue Basis

ExampleIntegrals 15A - Slicing Model for Iterated Integrals

ExampleIntegrals 15A - Slicing Model for Iterated Integrals

Example7 3E Slope1Path2 - Finding path to a peak, using a fixed slope of 1.

Example7 3E Slope1Path2 - Finding path to a peak, using a fixed slope of 1.

Example5 2A - Partial Derivatives

Example5 2A - Partial Derivatives

Example1 5C - Maximizing the slope along a trajectory.

Example1 5C - Maximizing the slope along a trajectory.

Week 12-2 ANOVA Example 2

Week 12-2 ANOVA Example 2

Week 12-3 Case Study Machine Replacement Part 1

Week 12-3 Case Study Machine Replacement Part 1

Week 12-4 Case Study Machine Replacement Part 2

Week 12-4 Case Study Machine Replacement Part 2

Week 12-1 ANOVA Example 1

Week 12-1 ANOVA Example 1

Week 11-4 Two Means - Example 1

Week 11-4 Two Means - Example 1

Week 11-2 Categorical Data - Example 1

Week 11-2 Categorical Data - Example 1

Week 11-1 P Value Analogy

Week 11-1 P Value Analogy

Week 11-5 Two Means - Example 2

Week 11-5 Two Means - Example 2

Week 11-3 Categorical Data - Example 2

Week 11-3 Categorical Data - Example 2

Week 9-4 Forms Of Solutions

Week 9-4 Forms Of Solutions

Week 9-3 Impulse And Step Response

Week 9-3 Impulse And Step Response

Week 9-2 The Transfer Function

Week 9-2 The Transfer Function

Week 9-1 Transforming DEs With Laplace

Week 9-1 Transforming DEs With Laplace

Week 8-1 Modelling And Control Intro

Week 8-1 Modelling And Control Intro

Week 8-2 Python First-Order, No Control

Week 8-2 Python First-Order, No Control

Week 8-3 Python First-Order, Delay Step Control

Week 8-3 Python First-Order, Delay Step Control

Topic 11-8 Applications-Pendulum

Topic 11-8 Applications-Pendulum

Topic 11-4 Damped Spring-Mass System-Example 1

Topic 11-4 Damped Spring-Mass System-Example 1

Topic 11-7 Demonstration-Spring-Mass

Topic 11-7 Demonstration-Spring-Mass

Topic 11-6 Spring-Mass System-Patterns of Behaviour

Topic 11-6 Spring-Mass System-Patterns of Behaviour

Topic 11-5 Damped Spring-Mass System-Example 2

Topic 11-5 Damped Spring-Mass System-Example 2

Topic 11-3 Real Solutions from Complex Forms

Topic 11-3 Real Solutions from Complex Forms

Topic 11-2 Complex Exponentials and the Spring-Mass System

Topic 11-2 Complex Exponentials and the Spring-Mass System

Topic 11-1 The Complex Exponential

Topic 11-1 The Complex Exponential

Topic 10-3 Analysis of Mass-Spring System

Topic 10-3 Analysis of Mass-Spring System

Topic 10-5 Introduction to Complex Numbers

Topic 10-5 Introduction to Complex Numbers

Topic 10-6 Multiplication of Complex Numbers

Topic 10-6 Multiplication of Complex Numbers

Topic 10-1 Differential Equations-Introduction

Topic 10-1 Differential Equations-Introduction

Topic 10-4 Spring System-Adding Friction

Topic 10-4 Spring System-Adding Friction

Topic 10-2 Differential Equations-Harmonic Motion

Topic 10-2 Differential Equations-Harmonic Motion

Topic 10-7 Polar form of Complex Numbers

Topic 10-7 Polar form of Complex Numbers

Week 5-2 Convolution In Python

Week 5-2 Convolution In Python

Week 5-1 Convolution Introduction

Week 5-1 Convolution Introduction

Topic 9-7 Partial Fractions - Examples

Topic 9-7 Partial Fractions - Examples

Topic 9-11 Work - Examples

Topic 9-11 Work - Examples

Topic 9-12 Work - Aquarium Problem

Topic 9-12 Work - Aquarium Problem

Topic 9-13 Work - Lake Problem

Topic 9-13 Work - Lake Problem

Topic 9-14 Work - Parabolic Tank Problem

Topic 9-14 Work - Parabolic Tank Problem

Topic 9-1 Pyramid Volume

Topic 9-1 Pyramid Volume

Topic 9-2 Cone Volume

Topic 9-2 Cone Volume

Topic 9-4 Volumes of Revolution Changing Rotation Axis

Topic 9-4 Volumes of Revolution Changing Rotation Axis

Topic 9-3 Volumes of Revolution Introduction

Topic 9-3 Volumes of Revolution Introduction

Topic 9-5 Volumes of Revolution Slices as Rings

Topic 9-5 Volumes of Revolution Slices as Rings

Topic 8-11 Integration By Parts Example 3

Topic 8-11 Integration By Parts Example 3

Topic 9-6 Partial Fractions

Topic 9-6 Partial Fractions

Topic 9-8 Partial Fractions Repeated Linear Factors

Topic 9-8 Partial Fractions Repeated Linear Factors

Topic 9-9 Partial Fractions - Further Example

Topic 9-9 Partial Fractions - Further Example

Topic 9-10 Work

Topic 9-10 Work

Topic 8-13 Integrals as Areas Review

Topic 8-13 Integrals as Areas Review

Topic 8-8 Integration Method By Parts

Topic 8-8 Integration Method By Parts

Topic 8-10 Integration By Parts Example 2

Topic 8-10 Integration By Parts Example 2

Topic 8-1 Integration Method Guess and Check

Topic 8-1 Integration Method Guess and Check

Topic 8-3 Substitution Integrals Example 1

Topic 8-3 Substitution Integrals Example 1

Topic 8-12 Integration By Parts Definite Integrals

Topic 8-12 Integration By Parts Definite Integrals

Topic 8-9 Integration By Parts Example 1

Topic 8-9 Integration By Parts Example 1

Topic 8-14 Integrals as Sums of Slices

Topic 8-14 Integrals as Sums of Slices

Topic 8-7 Substitutions and Definite Integrals

Topic 8-7 Substitutions and Definite Integrals

Topic 8-2 Integration Method Substitution

Topic 8-2 Integration Method Substitution

Topic 8-5 Substitution Integrals Example 3

Topic 8-5 Substitution Integrals Example 3

Topic 8-6 Substitution Integrals Example 4

Topic 8-6 Substitution Integrals Example 4

Topic 8-4 Substitution Integrals Example 2

Topic 8-4 Substitution Integrals Example 2

Topic 3-8 Analyzing and Designing Circular Motion v2

Topic 3-8 Analyzing and Designing Circular Motion v2

Topic 6-4 Generalizing Area Estimates LEFT and RIGHT v2

Topic 6-4 Generalizing Area Estimates LEFT and RIGHT v2

Week 3-2 Fourier Symmetries For Real Signals - The Math

Week 3-2 Fourier Symmetries For Real Signals - The Math

Week 3-1 Fourier Symmetries For Real Signals - Python

Week 3-1 Fourier Symmetries For Real Signals - Python

Topic 7-10 Net Change Theorem

Topic 7-10 Net Change Theorem

Topic 2-10 Collisions and Intersections in 3D v2

Topic 2-10 Collisions and Intersections in 3D v2

Week 2-2 Complex Fourier SeriesTo Discrete Series

Week 2-2 Complex Fourier SeriesTo Discrete Series

Week 2-3 Python - Guitar Sounds To Frequency Domain

Week 2-3 Python - Guitar Sounds To Frequency Domain

Week 2-1 Python - Guitar Sounds - Up To FFT Calculation

Week 2-1 Python - Guitar Sounds - Up To FFT Calculation

Topic 7-1 Definite Integrals in Modeling

Topic 7-1 Definite Integrals in Modeling

Topic 7-6 Basic Anti-Derivatives-Reference

Topic 7-6 Basic Anti-Derivatives-Reference

Topic 7-9 Definite vs Indefinite Integrals

Topic 7-9 Definite vs Indefinite Integrals

Topic 7-8 Basic Anti-Derivatives-1 over x

Topic 7-8 Basic Anti-Derivatives-1 over x

Topic 7-7 Basic Anti-Derivatives-Examples

Topic 7-7 Basic Anti-Derivatives-Examples

Topic 7-5 The Fundamental Theorem of Calculus-Example

Topic 7-5 The Fundamental Theorem of Calculus-Example

Topic 7-4 The Fundamental Theorem of Calculus-Theory

Topic 7-4 The Fundamental Theorem of Calculus-Theory

Topic 7-3 Scaling, Adding Definite Integrals

Topic 7-3 Scaling, Adding Definite Integrals

Topic 7-2 Limit Properties for Integrals

Topic 7-2 Limit Properties for Integrals

Topic 6-4 Generalizing Area Estimates-LEFT and RIGHT

Topic 6-4 Generalizing Area Estimates-LEFT and RIGHT

Topic 6-10 Estimating Integrals-Trapezoidal Rule

Topic 6-10 Estimating Integrals-Trapezoidal Rule

Topic 6-9 Estimating Integrals-Midpoint Rule

Topic 6-9 Estimating Integrals-Midpoint Rule

Topic 6-8 Negative Integral Values

Topic 6-8 Negative Integral Values

Topic 6-7 Estimating Area Between Curves

Topic 6-7 Estimating Area Between Curves

Topic 6-6 The Definite Integral and LEFT vs RIGHT

Topic 6-6 The Definite Integral and LEFT vs RIGHT

Topic 6-5 Riemann Sums And The Definite Integral

Topic 6-5 Riemann Sums And The Definite Integral

Topic 6-3 Estimating Areas

Topic 6-3 Estimating Areas

Topic 6-2 Calculating Areas

Topic 6-2 Calculating Areas

Topic 6-1 Distance and Velocity

Topic 6-1 Distance and Velocity

Topic 5-4 Implicit Differentiation-Example 3

Topic 5-4 Implicit Differentiation-Example 3

Topic 5-14 Optimization-Storage Example

Topic 5-14 Optimization-Storage Example

Topic 5-10 Classifying Critical Points

Topic 5-10 Classifying Critical Points

Topic 5-5 Related Rates-Car Example

Topic 5-5 Related Rates-Car Example

Topic 5-9 Related Rates-Radar Tracking

Topic 5-9 Related Rates-Radar Tracking

Topic 5-8 Related Rates-Ideal Gas Law

Topic 5-8 Related Rates-Ideal Gas Law

Topic 5-13 Optimization-Fencing Example

Topic 5-13 Optimization-Fencing Example

Topic 5-7 Related Rates-Ladder

Topic 5-7 Related Rates-Ladder

Topic 5-6 Related Rates-Water Tank

Topic 5-6 Related Rates-Water Tank

Topic 5-3 Implicit Differentiation-Example 2

Topic 5-3 Implicit Differentiation-Example 2

Topic 5-2 Implicit Differentiation-Example 1

Topic 5-2 Implicit Differentiation-Example 1

Topic 5-11 Global vs Local Optimization

Topic 5-11 Global vs Local Optimization

Topic 5-1 Tangent Lines to Relations-Implicit Differentiation

Topic 5-1 Tangent Lines to Relations-Implicit Differentiation

Topic 5-12 Global Extrema on Closed and Open Intervals

Topic 5-12 Global Extrema on Closed and Open Intervals

Topic 4-4 Sine and arcsine

Topic 4-4 Sine and arcsine

Topic 4-8 Interpreting the Derivative

Topic 4-8 Interpreting the Derivative

Topic 4-6 Identities With Inverse Trig

Topic 4-6 Identities With Inverse Trig

Topic 4-12 Geometric Applications of Linearization

Topic 4-12 Geometric Applications of Linearization

Topic 4-11 Linearization Formula and Examples

Topic 4-11 Linearization Formula and Examples

Topic 4-10 The Tangent Line or Local Linearization

Topic 4-10 The Tangent Line or Local Linearization

Topic 4-9 Local Linearity

Topic 4-9 Local Linearity

Topic 4-7 Derivative of arcsin

Topic 4-7 Derivative of arcsin

Topic 4-1 Projectile Motion Using Vectors

Topic 4-1 Projectile Motion Using Vectors

Topic 4-5 Arccos and arctan

Topic 4-5 Arccos and arctan

Topic 4-3 Inverse Trigonometric Functions-Introduction

Topic 4-3 Inverse Trigonometric Functions-Introduction

Topic 4-2 Projectile Motion Application

Topic 4-2 Projectile Motion Application

Topic 3-8 Analyzing and Designing Circular Motion

Topic 3-8 Analyzing and Designing Circular Motion

Topic 3-14 Spaceship Problem

Topic 3-14 Spaceship Problem

Topic 3-4 Limit Definition of the Vector-Valued Derivative

Topic 3-4 Limit Definition of the Vector-Valued Derivative

Topic 3-9 Straight Line Trajectories

Topic 3-9 Straight Line Trajectories

Topic 3-13 Motion Over Time-Taxi Problem

Topic 3-13 Motion Over Time-Taxi Problem

Topic 3-12 Acceleration-General Circular Motion

Topic 3-12 Acceleration-General Circular Motion

Topic 3-11 Acceleration-Example

Topic 3-11 Acceleration-Example

Topic 3-1 Displacement in Parametric Curves

Topic 3-1 Displacement in Parametric Curves

Topic 3-10 Acceleration in Parametric Curves

Topic 3-10 Acceleration in Parametric Curves

Topic 3-2 Velocity in Parametric Curves

Topic 3-2 Velocity in Parametric Curves

Topic 3-7 Velocity-Components

Topic 3-7 Velocity-Components

Topic 3-3 Defining the Derivative of a Parametric Curve

Topic 3-3 Defining the Derivative of a Parametric Curve