Канал: Susie Brooks

Transformation of Initial Value Problems, Part II

Transformation of Initial Value Problems, Part II

Transformation of Initial Value Problems, Part I

Transformation of Initial Value Problems, Part I

Linear and Almost Linear Systems

Linear and Almost Linear Systems

Nonhomogeneous Equations and Undetermined Coefficients, Part II

Nonhomogeneous Equations and Undetermined Coefficients, Part II

Nonhomogeneous Equations and Undetermined Coefficients, Part I

Nonhomogeneous Equations and Undetermined Coefficients, Part I

Mechanical Vibrations

Mechanical Vibrations

General Solutions of Linear Equations

General Solutions of Linear Equations

Introduction: Second-Order Linear Equations

Introduction: Second-Order Linear Equations

Numerical Approximation: Euler's Method

Numerical Approximation: Euler's Method

Acceleration-Velocity Models

Acceleration-Velocity Models

Equilibrium Solutions and Stability

Equilibrium Solutions and Stability

Population Models, Part II

Population Models, Part II

Population Models, Part I

Population Models, Part I

Substitution Methods and Exact Equations, Part II

Substitution Methods and Exact Equations, Part II

Substitution Methods and Exact Equations, Part I

Substitution Methods and Exact Equations, Part I

Linear First-Order Equations

Linear First-Order Equations

Separable Equations and Applications

Separable Equations and Applications

Slope Fields and Solution Curves

Slope Fields and Solution Curves

Differential Equations and Mathematical Models

Differential Equations and Mathematical Models

Stokes' Theorem

Stokes' Theorem

The Divergence Theorem

The Divergence Theorem

Applications of Surface Integrals: Flux

Applications of Surface Integrals: Flux

Surface Integrals

Surface Integrals

Independence of Path; Conservative Vector Fields

Independence of Path; Conservative Vector Fields

Line Integrals

Line Integrals

Vector Fields

Vector Fields

Change of Variables in Multiple Integrals; Jacobians

Change of Variables in Multiple Integrals; Jacobians

Triple Integrals in Cylindrical and Spherical Coordinates

Triple Integrals in Cylindrical and Spherical Coordinates

Surface Area; Parametric Surfaces

Surface Area; Parametric Surfaces

Triple Integrals

Triple Integrals

Double Integrals in Polar Coordinates

Double Integrals in Polar Coordinates

Double Integrals over Nonrectangular Regions

Double Integrals over Nonrectangular Regions

Double Integrals

Double Integrals

Lagrange Multipliers

Lagrange Multipliers

Maxima and Minima of Functions of Two Variables

Maxima and Minima of Functions of Two Variables

Tangent Planes and Normal Vectors

Tangent Planes and Normal Vectors

Directional Derivatives and Gradients

Directional Derivatives and Gradients

The Chain Rule

The Chain Rule

Partial Derivatives

Partial Derivatives

Limits and Continuity

Limits and Continuity

Functions of Two or More Variables

Functions of Two or More Variables

Motion Along a Curve

Motion Along a Curve

Change of Parameter; Arc Length

Change of Parameter; Arc Length

Calculus of Vector-Valued Functions

Calculus of Vector-Valued Functions

Vector Valued Functions

Vector Valued Functions

Cylindrical and Spherical Coordinates Systems

Cylindrical and Spherical Coordinates Systems

Quadric Surfaces

Quadric Surfaces

Planes in 3-Space

Planes in 3-Space

Parametric Equations of Lines

Parametric Equations of Lines

Cross Product

Cross Product

Dot Product; Projections

Dot Product; Projections

Vectors

Vectors

Rectangular Coordinates in 3 Space; Spheres; Cylindrical Surfaces

Rectangular Coordinates in 3 Space; Spheres; Cylindrical Surfaces

Transformation of Initial Value Problems

Transformation of Initial Value Problems

Laplace Transforms and Inverse Transforms

Laplace Transforms and Inverse Transforms

Stability and the Phase Plane

Stability and the Phase Plane

Multiple Eigenvalue Solutions, Part II

Multiple Eigenvalue Solutions, Part II

Multiple Eigenvalue Solutions, Part I

Multiple Eigenvalue Solutions, Part I

The Eigenvalue Method for Homogeneous Systems

The Eigenvalue Method for Homogeneous Systems

Matrices and Linear Systems, Part II

Matrices and Linear Systems, Part II

Matrices and Linear Systems, Part I

Matrices and Linear Systems, Part I

The Method of Elimination

The Method of Elimination

First-Order Systems and Applications

First-Order Systems and Applications

Forced Oscillations and Resonance: Damped Motion

Forced Oscillations and Resonance: Damped Motion

Forced Oscillations and Resonance: Undamped Motion

Forced Oscillations and Resonance: Undamped Motion