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  1. MATH1052-edX
    1. Chapter 1
    2. Chapter 2
    3. Chapter 3
    4. Chapter 5

    MATH1052-edX

    Autor:Juan Carlos Ponce Campuzano
    Thema:Analysis, Differentialrechnung, Differentialgleichungen, Gleichungen
    Applets for the edX version of MATH1052 Multivariate Calculus and ODEs from UQ
    MATH1052-edX

    Inhaltsverzeichnis

    • Chapter 1

      • Sketch solution curves with slope fields
      • Slope fields: Problem 1
      • Slope fields: Problem 2
      • Slope field and stable/unstable solutions
      • Stable/Unstable equilibrium solutions
      • Long term behaviour 1
      • Long term behaviour 2
      • Euler's method: General exploration
      • Exploring errors in Euler's method
      • ODEs: Linear or Non-linear?
      • Logistic model
      • The undamped spring
      • Underdamping
      • Critical damping
      • Overdamping
      • A simple undamped pendulum simulation
      • Damped pendulum simulation
      • Kinetic and Potential energy: Ball in free fall
      • Conservation of energy: Undamped Spring
    • Chapter 2

      • Basic 3D plotter
      • Conic sections
      • Parabolas: Completing the square
      • Generating a circle and ellipse
      • Exploring Hyperbolas
      • Contour Diagrams
      • Cross-sections: Vibrating string guitar
      • Problem 1: Cross sections
      • Problem 2: Cross sections
    • Chapter 3

      • Geometric exploration of limits
      • Partial derivatives
      • Tangent line problems
      • Vectors parallel to plane
      • First-order approximation Zoom
      • Gradients & Directional derivatives
    • Chapter 5

      • Parametric curves
      • Parametric curves on intervals
      • Parametric curves in 3D
      • Position vector
      • Position vector 3D
      • Parametric straight line
      • Arc Length parametric curves
      • Polar curves
      • Line Integrals: Work
    Weiter
    Sketch solution curves with slope fields

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