Arthur Mattuck Professor, Department of Mathematics MIT

Arthur Mattuck

Professor, Department of Mathematics
MIT

Courses

  1. Differential Equations Course

    Differential Equations

    MIT / Mathematics
    Arthur Mattuck

Lectures

  1. The Geometrical View of y'=f(x,y): Direction Fields, Integral Curves Lecture
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    The Geometrical View of y'=f(x,y): Direction Fields, Integral Curves

    MIT / Mathematics
    Arthur Mattuck
  2. Euler's Numerical Method for y'=f(x,y) and its Generalizations Lecture
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    Euler's Numerical Method for y'=f(x,y) and its Generalizations

    MIT / Mathematics
    Arthur Mattuck
  3. Solving First-order Linear ODE's; Steady-state and Transient Solutions Lecture
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    Solving First-order Linear ODE's; Steady-state and Transient Solutions

    MIT / Mathematics
    Arthur Mattuck
  4. First-order Substitution Methods: Bernouilli and Homogeneous ODE's Lecture
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    First-order Substitution Methods: Bernouilli and Homogeneous ODE's

    MIT / Mathematics
    Arthur Mattuck
  5. First-order Autonomous ODE's: Qualitative Methods, Applications Lecture
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    First-order Autonomous ODE's: Qualitative Methods, Applications

    MIT / Mathematics
    Arthur Mattuck
  6. Complex Numbers and Complex Exponentials Lecture
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    Complex Numbers and Complex Exponentials

    MIT / Mathematics
    Arthur Mattuck
  7. First-Order Linear with Constant Coefficients Lecture
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    First-Order Linear with Constant Coefficients

    MIT / Mathematics
    Arthur Mattuck
  8. Applications to Temperature, Mixing, RC-circuit, Decay, and Growth Models Lecture
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    Applications to Temperature, Mixing, RC-circuit, Decay, and Growth Models

    MIT / Mathematics
    Arthur Mattuck
  9. Solving Second-Order Linear ODE's with Constant Coefficients Lecture
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    Solving Second-Order Linear ODE's with Constant Coefficients

    MIT / Mathematics
    Arthur Mattuck
  10. Complex Characteristic Roots; Undamped and Damped Oscillations Lecture
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    Complex Characteristic Roots; Undamped and Damped Oscillations

    MIT / Mathematics
    Arthur Mattuck
  11. Second-Order Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians Lecture
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    Second-Order Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians

    MIT / Mathematics
    Arthur Mattuck
  12. Inhomogeneous ODE's; Stability Criteria for Constant-Coefficient ODE's Lecture
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    Inhomogeneous ODE's; Stability Criteria for Constant-Coefficient ODE's

    MIT / Mathematics
    Arthur Mattuck
  13. Inhomogeneous ODE's: Operator and Solution Formulas Involving Ixponentials Lecture
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    Inhomogeneous ODE's: Operator and Solution Formulas Involving Ixponentials

    MIT / Mathematics
    Arthur Mattuck
  14. Interpretation of the Exceptional Case: Resonance Lecture
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    Interpretation of the Exceptional Case: Resonance

    MIT / Mathematics
    Arthur Mattuck
  15. Introduction to Fourier Series; Basic Formulas for Period 2(pi) Lecture
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    Introduction to Fourier Series; Basic Formulas for Period 2(pi)

    MIT / Mathematics
    Arthur Mattuck
  16. More General Periods; Even and Odd Functions; Periodic Extension Lecture
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    More General Periods; Even and Odd Functions; Periodic Extension

    MIT / Mathematics
    Arthur Mattuck
  17. Finding Particular Solutions via Fourier Series; Resonant Terms Lecture
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    Finding Particular Solutions via Fourier Series; Resonant Terms

    MIT / Mathematics
    Arthur Mattuck
  18. Derivative Formulas; Using the Laplace Transform to Solve Linear ODE's Lecture
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    Derivative Formulas; Using the Laplace Transform to Solve Linear ODE's

    MIT / Mathematics
    Arthur Mattuck
  19. Convolution Formula: Proof, Connection with Laplace Transform, Application Lecture
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    Convolution Formula: Proof, Connection with Laplace Transform, Application

    MIT / Mathematics
    Arthur Mattuck
  20. Using Laplace Transform to Solve ODE's with Discontinuous Inputs Lecture
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    Using Laplace Transform to Solve ODE's with Discontinuous Inputs

    MIT / Mathematics
    Arthur Mattuck
  21. Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions Lecture
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    Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions

    MIT / Mathematics
    Arthur Mattuck
  22. First-Order Systems of ODE's; Solution by Elimination, Geometric Interpretation Lecture
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    First-Order Systems of ODE's; Solution by Elimination, Geometric Interpretation

    MIT / Mathematics
    Arthur Mattuck
  23. Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues Lecture
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    Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues

    MIT / Mathematics
    Arthur Mattuck
  24. Continuation: Repeated Real Eigenvalues, Complex Eigenvalues Lecture
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    Continuation: Repeated Real Eigenvalues, Complex Eigenvalues

    MIT / Mathematics
    Arthur Mattuck
  25. Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients Lecture
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    Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients

    MIT / Mathematics
    Arthur Mattuck
  26. Matrix Methods for Inhomogeneous Systems Lecture
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    Matrix Methods for Inhomogeneous Systems

    MIT / Mathematics
    Arthur Mattuck
  27. Matrix Exponentials; Application to Solving Systems Lecture
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    Matrix Exponentials; Application to Solving Systems

    MIT / Mathematics
    Arthur Mattuck
  28. Decoupling Linear Systems with Constant Coefficients Lecture
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    Decoupling Linear Systems with Constant Coefficients

    MIT / Mathematics
    Arthur Mattuck
  29. Non-linear Autonomous Systems: Finding the Critical Points and Sketching Trajectories Lecture
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    Non-linear Autonomous Systems: Finding the Critical Points and Sketching Trajectories

    MIT / Mathematics
    Arthur Mattuck
  30. Limit Cycles: Existence and Non-existence Criteria Lecture
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    Limit Cycles: Existence and Non-existence Criteria

    MIT / Mathematics
    Arthur Mattuck
  31. Non-Linear Systems and First-Order ODE's Lecture
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    Non-Linear Systems and First-Order ODE's

    MIT / Mathematics
    Arthur Mattuck

Related Lectures

  1. Parametric Equations for Lines and Curves Lecture

    Parametric Equations for Lines and Curves

    MIT / Mathematics
    Denis Auroux
  2. Optimization and minimum principles: Euler equation Lecture

    Optimization and minimum principles: Euler equation

    MIT / Mathematics
    Gilbert Strang
  3. Duality Puzzle / Inverse Problem / Integral Equations Lecture

    Duality Puzzle / Inverse Problem / Integral Equations

    MIT / Mathematics
    Gilbert Strang
  4. Markov Chain (Example) Lecture

    Markov Chain (Example)

    Stanford / Mathematics
    Stephen Boyd
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