This is an archived course. A more recent version may be available at ocw.mit.edu.

Advanced Search
    Archived Versions

    Video Lectures

    These video lectures of Professor Arthur Mattuck teaching 18.03 were recorded live in the Spring 2003 and do not correspond precisely to the lectures taught in the Spring of 2006. Professor Mattuck has inspired and informed generations of MIT students with his engaging lectures.

    The videotaping was made possible by The d'Arbeloff Fund for Excellence in MIT Education.

    Note: Lecture 18, 34, and 35 are not available.


    Lecture 1: The Geometrical View of y'= f(x,y)

    Go to this video


    Lecture 2: Euler's Numerical Method for y'=f(x,y)

    Go to this video


    Lecture 3: Solving First-order Linear ODEs

    Go to this video


    Lecture 4: First-order Substitution Methods

    Go to this video


    Lecture 5: First-order Autonomous ODEs

    Go to this video


    Lecture 6: Complex Numbers and Complex Exponentials

    Go to this video


    Lecture 7: First-order Linear with Constant Coefficients

    Go to this video


    Lecture 8: Continuation

    Go to this video


    Lecture 9: Solving Second-order Linear ODE's with Constant Coefficients

    Go to this video


    Lecture 10: Continuation: Complex Characteristic Roots

    Go to this video


    Lecture 11: Theory of General Second-order Linear Homogeneous ODEs

    Go to this video


    Lecture 12: Continuation: General Theory for Inhomogeneous ODEs

    Go to this video


    Lecture 13: Finding Particular Sto Inhomogeneous ODEs

    Go to this video


    Lecture 14: Interpretation of the Exceptional Case: Resonance

    Go to this video


    Lecture 15: Introduction to Fourier Series

    Go to this video


    Lecture 16: Continuation: More General Periods

    Go to this video


    Lecture 17: Finding Particular Solutions via Fourier Series

    Go to this video


    Lecture 19: Introduction to the Laplace Transform

    Go to this video


    Lecture 20: Derivative Formulas

    Go to this video


    Lecture 21: Convolution Formula

    Go to this video


    Lecture 22: Using Laplace Transform to Solve ODEs with Discontinuous Inputs

    Go to this video


    Lecture 23: Use with Impulse Inputs

    Go to this video


    Lecture 24: Introduction to First-order Systems of ODEs

    Go to this video


    Lecture 25: Homogeneous Linear Systems with Constant Coefficients

    Go to this video


    Lecture 26: Continuation: Repeated Real Eigenvalues

    Go to this video


    Lecture 27: Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients

    Go to this video


    Lecture 28: Matrix Methods for Inhomogeneous Systems

    Go to this video


    Lecture 29: Matrix Exponentials

    Go to this video


    Lecture 30: Decoupling Linear Systems with Constant Coefficients

    Go to this video


    Lecture 31: Non-linear Autonomous Systems

    Go to this video


    Lecture 32: Limit Cycles

    Go to this video


    Lecture 33: Relation Between Non-linear Systems and First-order ODEs

    Go to this video