MATH1052-edX

MATH1052-edX

MATH1052-edX — Items 42 — Sketch solution curves with slope fields、Slope Fields: Problem 1、Slope Fields: Problem 2 – Visualizing Differential Equation Solutions

Items: 42

Contents

Sketch solution curves with slope fields

Sketch solution curves with slope fields

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Slope Fields: Problem 1

Slope Fields: Problem 1

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Slope Fields: Problem 2 – Visualizing Differential Equation Solutions

Slope Fields: Problem 2 – Visualizing Differential Equation Solutions

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Slope Field and Stable/Unstable Solutions

Slope Field and Stable/Unstable Solutions

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Stable/Unstable Equilibrium Solutions Visualization

Stable/Unstable Equilibrium Solutions Visualization

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Long term behaviour of differential equations

Long term behaviour of differential equations

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Long Term Behaviour 2: Visualizing Differential Equation Solutions

Long Term Behaviour 2: Visualizing Differential Equation Solutions

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Euler's Method: General Exploration

Euler's Method: General Exploration

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Exploring Errors in Euler's Method: Visualizing Numerical vs. Exact Solutions

Exploring Errors in Euler's Method: Visualizing Numerical vs. Exact Solutions

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ODEs: Linear or Non-linear?

ODEs: Linear or Non-linear?

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Logistic Model: Geometric Display of Exponential Growth and Saturation

Logistic Model: Geometric Display of Exponential Growth and Saturation

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Undamped Spring

Undamped Spring

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Underdamping Simulation: Spring-Mass System Dynamics

Underdamping Simulation: Spring-Mass System Dynamics

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Critical Damping ODE Graphing

Critical Damping ODE Graphing

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Overdamping Phenomenon

Overdamping Phenomenon

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Simple Undamped Pendulum Simulation

Simple Undamped Pendulum Simulation

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Kinetic and Potential Energy: Ball in Free Fall

Kinetic and Potential Energy: Ball in Free Fall

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Energy Conservation in Undamped Spring System

Energy Conservation in Undamped Spring System

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Basic 3D Plotter Demonstration: Polygon and Function Interaction in 3D Space

Basic 3D Plotter Demonstration: Polygon and Function Interaction in 3D Space

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Conic Sections and Their Construction

Conic Sections and Their Construction

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Parabolas: Completing the square

Parabolas: Completing the square

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Generating a Circle and Ellipse: Dynamic Construction and Geometric Transformati

Generating a Circle and Ellipse: Dynamic Construction and Geometric Transformati

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Exploring Hyperbolas: Foci, Asymptotes, and Dynamic Parameters

Exploring Hyperbolas: Foci, Asymptotes, and Dynamic Parameters

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Contour Diagrams: Visualizing Function Level Curves and Mathematical Concepts

Contour Diagrams: Visualizing Function Level Curves and Mathematical Concepts

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Vibrating String Guitar Cross-section

Vibrating String Guitar Cross-section

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Problem 1: Cross Sections

Problem 1: Cross Sections

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Cross Sections of Unit Circle by Sine Functions

Cross Sections of Unit Circle by Sine Functions

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Geometric Exploration of Limits

Geometric Exploration of Limits

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Partial Derivatives: Dynamic Demonstration

Partial Derivatives: Dynamic Demonstration

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Interactive Function Tangent Line Practice with Derivatives

Interactive Function Tangent Line Practice with Derivatives

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Vectors Parallel to a Plane: 3D Construction

Vectors Parallel to a Plane: 3D Construction

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First-Order Approximation Zoom: Local Linearization Explorer

First-Order Approximation Zoom: Local Linearization Explorer

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Gradients & Directional Derivatives

Gradients & Directional Derivatives

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Interactive Parametric Curves Exploration

Interactive Parametric Curves Exploration

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Parametric curves on intervals

Parametric curves on intervals

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Parametric Curves in 3D

Parametric Curves in 3D

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Position Vector

Position Vector

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3D Position Vector: GeoGebra Construction and Concepts

3D Position Vector: GeoGebra Construction and Concepts

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Parametric Straight Line: Parametric Equation in Coordinate Geometry

Parametric Straight Line: Parametric Equation in Coordinate Geometry

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Arc Length of Parametric Curves

Arc Length of Parametric Curves

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Interactive Polar Curves: Dynamic Plotting and Parameter Exploration

Interactive Polar Curves: Dynamic Plotting and Parameter Exploration

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Line Integrals: Work

Line Integrals: Work

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