Канал: Brenda Edmonds

How Nonreal Zeros of the Characteristic Polynomial Work

How Nonreal Zeros of the Characteristic Polynomial Work

2D System of Differential Equations - Check Solutions and Linear Independence

2D System of Differential Equations - Check Solutions and Linear Independence

Average Value Word Problem

Average Value Word Problem

Average Value of a Function Example

Average Value of a Function Example

Another Definite Integral with a U-Substitution Example

Another Definite Integral with a U-Substitution Example

Definite Integral with a U-Substitution

Definite Integral with a U-Substitution

Area Under a Curve Example

Area Under a Curve Example

Third-Order Cauchy-Euler Equation Example

Third-Order Cauchy-Euler Equation Example

U-Substitution Example 6

U-Substitution Example 6

U-Substitution Example 5

U-Substitution Example 5

U-substitution Example 4

U-substitution Example 4

Nonhomogeneous Cauchy-Euler Equation

Nonhomogeneous Cauchy-Euler Equation

Related Rates Revenue Problem

Related Rates Revenue Problem

Implicit Differentiation with Demand Function

Implicit Differentiation with Demand Function

Maximize Volume of a Box

Maximize Volume of a Box

Optimizing Harvest Example

Optimizing Harvest Example

Maximize Profit

Maximize Profit

Absolute Extrema on Closed and Bounded Interval

Absolute Extrema on Closed and Bounded Interval

Applied Absolute Extrema Problem

Applied Absolute Extrema Problem

Absolute Extrema on Closed and Bounded Intervals

Absolute Extrema on Closed and Bounded Intervals

Describe Function Behavior Using First and Second Derivative Example

Describe Function Behavior Using First and Second Derivative Example

Describe Function Behavior Using Second Derivative - Rational Function

Describe Function Behavior Using Second Derivative - Rational Function

Describe Function Behavior Using 2nd Derivative - Polynomial Example

Describe Function Behavior Using 2nd Derivative - Polynomial Example

Describe Function Behavior Using f and f' - Rational Function

Describe Function Behavior Using f and f' - Rational Function

Describe Function Behavior Using f and f' - Polynomial Function

Describe Function Behavior Using f and f' - Polynomial Function

Show Functions are Solutions to a Higher-Order DE

Show Functions are Solutions to a Higher-Order DE

Existence and Uniqueness Theorem for Higher-Order Linear DE

Existence and Uniqueness Theorem for Higher-Order Linear DE

Continuity Piecewise Function Example

Continuity Piecewise Function Example

Continuity from Equations Examples

Continuity from Equations Examples

Limits from Equations

Limits from Equations

Limits Using Tables Example

Limits Using Tables Example

Finding Limits from Graphs

Finding Limits from Graphs

Effective Annual Yield Examples

Effective Annual Yield Examples

Time for Investment to Reach Future Value

Time for Investment to Reach Future Value

Compound Interest Examples

Compound Interest Examples

Break Even Points and Maximizing Profit

Break Even Points and Maximizing Profit

Cost, Revenue, and Profit Example

Cost, Revenue, and Profit Example

Approximating Definite Integrals Using Rectangles

Approximating Definite Integrals Using Rectangles

Fundamental Theorem of Calculus - Overview and Proof of One Part

Fundamental Theorem of Calculus - Overview and Proof of One Part

Properties of Definite Integrals

Properties of Definite Integrals

Example of Concepts about Riemann Sum Definition of Definite Integral

Example of Concepts about Riemann Sum Definition of Definite Integral

Newton's Method

Newton's Method

Differentials

Differentials

Curve Sketching

Curve Sketching

What the Second Derivative Tells You about a Graph

What the Second Derivative Tells You about a Graph

What the First Derivative Tells You About a Graph

What the First Derivative Tells You About a Graph

Mean Value Theorem Overview and Example

Mean Value Theorem Overview and Example

Critical Points, Increasing and Decreasing, and Local Extrema Easy Example

Critical Points, Increasing and Decreasing, and Local Extrema Easy Example

Critical Points, Increasing and Decreasing, Local Extrema Example with Rational Function

Critical Points, Increasing and Decreasing, Local Extrema Example with Rational Function

Mean Value Theorem 2 Examples

Mean Value Theorem 2 Examples

Optimization Example - Window problem

Optimization Example - Window problem

Chain Rule Theory

Chain Rule Theory

Higher-Order Derivatives

Higher-Order Derivatives

Quotient Rule Examples

Quotient Rule Examples

Product Rule Examples

Product Rule Examples

Some Derivative Shortcut Rules for Combining Functions

Some Derivative Shortcut Rules for Combining Functions

Patterns and Derivatives of Some Basic Functions

Patterns and Derivatives of Some Basic Functions

Proofs of Constant Multiple and Product Rules for Derivatives

Proofs of Constant Multiple and Product Rules for Derivatives

Examples of Other Basic Function Derivatives

Examples of Other Basic Function Derivatives

Graphs Where a Function Fails to be Differentiable

Graphs Where a Function Fails to be Differentiable

Limits Involving Infinity Basic Examples

Limits Involving Infinity Basic Examples

Limits Involving Infinity Formal Details

Limits Involving Infinity Formal Details

Limits Involving Infinity Main Ideas

Limits Involving Infinity Main Ideas

Continuous Functions - Theorems and Properties

Continuous Functions - Theorems and Properties

Definition of Continuity and Continuity from a Graph

Definition of Continuity and Continuity from a Graph

Find Limits Using Theorems: Mixed Examples

Find Limits Using Theorems: Mixed Examples

Limits Using Theorems - Intro and Examples

Limits Using Theorems - Intro and Examples

Solve Simple Quadratic Inequalities

Solve Simple Quadratic Inequalities

Column Space of a Matrix

Column Space of a Matrix

Null Space of a Matrix

Null Space of a Matrix

Basis for a Vector Space

Basis for a Vector Space

Span of a set of Vectors

Span of a set of Vectors

Linear Independence of a Set of Vectors

Linear Independence of a Set of Vectors

Gamma Function for Laplace Transforms of t^p

Gamma Function for Laplace Transforms of t^p

Linearity of Laplace Transforms and Using the Table

Linearity of Laplace Transforms and Using the Table

Intro to Laplace Transforms for DEs: Overview and Definition

Intro to Laplace Transforms for DEs: Overview and Definition

Damped Spring Mass Systems with Forcing Functions

Damped Spring Mass Systems with Forcing Functions

Forced Motion: Beats, Resonance, and an Example

Forced Motion: Beats, Resonance, and an Example

Spring Mass System Underdamped

Spring Mass System Underdamped

Intro to Spring Mass Systems and an Example

Intro to Spring Mass Systems and an Example

Variation of Parameters Overview

Variation of Parameters Overview

Undetermined Coefficients Example with Trig Function

Undetermined Coefficients Example with Trig Function

Undetermined Coefficients Intro and an Easy Example

Undetermined Coefficients Intro and an Easy Example

Variation of Parameters Simple Example

Variation of Parameters Simple Example

Undetermined Coefficients: Modifying Part of the Guess

Undetermined Coefficients: Modifying Part of the Guess

Undetermined Coefficients: Modifying the Guess

Undetermined Coefficients: Modifying the Guess

Undetermined Coefficients with Polynomial Function

Undetermined Coefficients with Polynomial Function

Separable Equation Example

Separable Equation Example

Two-Dimensional Systems of DEs with Repeated Eigenvalues

Two-Dimensional Systems of DEs with Repeated Eigenvalues

Two-Dimensional System of DEs with Nonreal Eigenvalues

Two-Dimensional System of DEs with Nonreal Eigenvalues

Two-dimensional System of DEs with Distinct Real Eigenvalues

Two-dimensional System of DEs with Distinct Real Eigenvalues

Euler Equation Example

Euler Equation Example

Runge-Kutta Method

Runge-Kutta Method

Improved Euler Method

Improved Euler Method

Euler's Method

Euler's Method

3-Dimensional System of DEs with Nonreal Eigenvalues

3-Dimensional System of DEs with Nonreal Eigenvalues

Three Dimensional System of DEs with Distinct Real Eigenvalues

Three Dimensional System of DEs with Distinct Real Eigenvalues

DE with an Impulse Function

DE with an Impulse Function

Differential Equation with Discontinuous Function

Differential Equation with Discontinuous Function

Laplace Transform of a Piecewise Function

Laplace Transform of a Piecewise Function

Solving a Higher-Order DE with Variable Coefficient Functions

Solving a Higher-Order DE with Variable Coefficient Functions

Solving a DE using Convolution

Solving a DE using Convolution

Solving a DE using Laplace Transforms Harder Example

Solving a DE using Laplace Transforms Harder Example

Solving a Differential Equation using a Laplace Transform Easy Example

Solving a Differential Equation using a Laplace Transform Easy Example

DE Circuit Example

DE Circuit Example

Forced Motion Example

Forced Motion Example

Spring-Mass Example (Unforced Motion)

Spring-Mass Example (Unforced Motion)

Variation of Parameters Example

Variation of Parameters Example

Linear Nonhomogeneous DE: Undetermined Coefficients

Linear Nonhomogeneous DE: Undetermined Coefficients

Fourth Order Linear Homogeneous DE with Constant Coefficients

Fourth Order Linear Homogeneous DE with Constant Coefficients

Third Order Linear Homogeneous DE with Constant Coefficients Example

Third Order Linear Homogeneous DE with Constant Coefficients Example

Third-Order DE Check Solutions and Find Particular Solution

Third-Order DE Check Solutions and Find Particular Solution

Show a Set IS or IS NOT a Subspace of R^2

Show a Set IS or IS NOT a Subspace of R^2

Show a Set is NOT a Subspace of R^2

Show a Set is NOT a Subspace of R^2

Show a Set IS a Subspace of the Set of Differentiable Functions

Show a Set IS a Subspace of the Set of Differentiable Functions

Show a Set is NOT a Subspace of the Set of Differentiable Functions

Show a Set is NOT a Subspace of the Set of Differentiable Functions

Vector Space Check Conditions Example

Vector Space Check Conditions Example

Eigenvalues and Eigenvectors of a 3x3 Matrix

Eigenvalues and Eigenvectors of a 3x3 Matrix

Solving Systems Using rref

Solving Systems Using rref

Mixing Model Example

Mixing Model Example

A Motion Model Example

A Motion Model Example

Population Model with Harvesting

Population Model with Harvesting

Bifurcation Values

Bifurcation Values

Solving a DE with a Substitution

Solving a DE with a Substitution

First-Order Linear DE Example

First-Order Linear DE Example

Another Separable Equation Example

Another Separable Equation Example

Separable DE Application: An Infection Model

Separable DE Application: An Infection Model

Existence and Uniqueness Theorem Examples

Existence and Uniqueness Theorem Examples

Bernoulli Equation Example

Bernoulli Equation Example

A Homogeneous Equation Example

A Homogeneous Equation Example

A Tricky Linear First-Order ODE

A Tricky Linear First-Order ODE

Motion Problem Example

Motion Problem Example

Particular Solutions and Interval of Existence Examples

Particular Solutions and Interval of Existence Examples

Find Particular Solution Example

Find Particular Solution Example

Slope Fields and Long-Term Behavior

Slope Fields and Long-Term Behavior

Isoclines: A Way to Analyze Slope Fields

Isoclines: A Way to Analyze Slope Fields

Interval of Existence Example

Interval of Existence Example

Differential Equations Modeling Example 2

Differential Equations Modeling Example 2

Differential Equations Modeling Example 1

Differential Equations Modeling Example 1

What is Mathematical Modeling?

What is Mathematical Modeling?

Divergence Theorem

Divergence Theorem

Stokes's Theorem

Stokes's Theorem

Flux of a Vector Field across a Surface

Flux of a Vector Field across a Surface

Surface Integral Example using a Parameterized Surface

Surface Integral Example using a Parameterized Surface

Surface Integral Example for Surface Given in Explicit Form

Surface Integral Example for Surface Given in Explicit Form

Definition of Surface Integrals

Definition of Surface Integrals

Finding Parameterizations of Surfaces

Finding Parameterizations of Surfaces

Introduction to Parameterized Surfaces

Introduction to Parameterized Surfaces

Deciding How to Evaluate Line Integrals: Several Types

Deciding How to Evaluate Line Integrals: Several Types

Deciding How to Evaluate Line Integrals: Work and Flux

Deciding How to Evaluate Line Integrals: Work and Flux

Using Green's Theorem to Find Area

Using Green's Theorem to Find Area

Green's Theorem

Green's Theorem

Line Integral Example in R^3

Line Integral Example in R^3

Path Independence, Conservative VFs, Potential Functions, & Fundamental Theorem of Line Integrals

Path Independence, Conservative VFs, Potential Functions, & Fundamental Theorem of Line Integrals

Flux across a Curve

Flux across a Curve

Work Circulation Flow Integrals

Work Circulation Flow Integrals

Introduction to Line Integrals: Definition, Theorems, and an Example

Introduction to Line Integrals: Definition, Theorems, and an Example

Div Grad Curl: Definition, Example and Concepts

Div Grad Curl: Definition, Example and Concepts

Line Integral Evaluation Example 2

Line Integral Evaluation Example 2

Line Integral Evaluation Example 1

Line Integral Evaluation Example 1

Introduction to Vector Fields

Introduction to Vector Fields

Change of Variables for a Triple Integral

Change of Variables for a Triple Integral

Substitutions for Multiple Integrals Example 2

Substitutions for Multiple Integrals Example 2

Substitutions for Multiple Integrals - Theorem and Example

Substitutions for Multiple Integrals - Theorem and Example

Moment of Inertia using Double and Triple Integrals

Moment of Inertia using Double and Triple Integrals

Center of Mass using Double and Triple Integrals

Center of Mass using Double and Triple Integrals

Triple Integral Example 3: Average Value

Triple Integral Example 3: Average Value

Triple Integral Example 2: Volume

Triple Integral Example 2: Volume

Evaluating Triple Integrals in Rectangular Coordinates

Evaluating Triple Integrals in Rectangular Coordinates

Definition of Triple Integral in Rectangular Coordinates

Definition of Triple Integral in Rectangular Coordinates

Introduction to Double Integrals in Polar Coordinates

Introduction to Double Integrals in Polar Coordinates

Double Integrals to find Area

Double Integrals to find Area

Double Integral Example - Finding Volume

Double Integral Example - Finding Volume

Evaulating Double Integrals, Strategy, Theorem and Example

Evaulating Double Integrals, Strategy, Theorem and Example

Definition of the Double Integral

Definition of the Double Integral

Building Riemann Sums for Functions of Two Variables

Building Riemann Sums for Functions of Two Variables

Average Value of a Function on a Region R

Average Value of a Function on a Region R

Double Integral in Polar Coordinates - A Harder Example

Double Integral in Polar Coordinates - A Harder Example

Double Integral in Polar Coordinates Example 2

Double Integral in Polar Coordinates Example 2

Double Integral Set Up in Both Rectangular and Polar Coordinates

Double Integral Set Up in Both Rectangular and Polar Coordinates

Integration Skills Review for Calculus 3

Integration Skills Review for Calculus 3

Lagrange Multipliers Theorem and Tips

Lagrange Multipliers Theorem and Tips

Double Integral Evaluation Example 3 - Switching the Order

Double Integral Evaluation Example 3 - Switching the Order

Double Integral Evaluation Example 1

Double Integral Evaluation Example 1

Double Integral Evaluation Example 2 - Order Matters!

Double Integral Evaluation Example 2 - Order Matters!

Absolute Extrema Example for Multivariable Functions

Absolute Extrema Example for Multivariable Functions

Absolute Extrema Vocabulary and Theorems for Multivariable Functions

Absolute Extrema Vocabulary and Theorems for Multivariable Functions

Local Extrema and Saddle Points Vocabulary and Theorems

Local Extrema and Saddle Points Vocabulary and Theorems

Lagrange Multipliers Example 3

Lagrange Multipliers Example 3

Lagrange Multipliers Example 2

Lagrange Multipliers Example 2

Lagrange Multipliers Example 1

Lagrange Multipliers Example 1

Tangent Plane and Normal Line to Surface

Tangent Plane and Normal Line to Surface

Local Extrema and Saddle Points of f(x,y) Example 2

Local Extrema and Saddle Points of f(x,y) Example 2

Local Extrema and Saddle Points for f(x,y) Example 1

Local Extrema and Saddle Points for f(x,y) Example 1

Gradient Vector Application Example 2

Gradient Vector Application Example 2

Gradient Vector Applications Example 1

Gradient Vector Applications Example 1

Properties of the Gradient Vector

Properties of the Gradient Vector

Directional Derivative Formula and Gradient Vectors

Directional Derivative Formula and Gradient Vectors

Directional Derivative Definition

Directional Derivative Definition

Related Rates Example 2

Related Rates Example 2