Video Lectures

These video lectures of Professor Arthur Mattuck teaching 18.03 were recorded live in the Spring of 2003 and do not correspond precisely to the lectures taught in the Spring of 2010. This table (PDF) provides a correlation between the video and the lectures in the 2010 version of the course.

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

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

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

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

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

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

Lecture 3: Solving First-order Linear ODEs

Lecture 3: Solving First-order Linear ODEs

Lecture 4: First-order Substitution Methods

Lecture 4: First-order Substitution Methods

Lecture 5: First-order Autonomous ODEs

Lecture 5: First-order Autonomous ODEs

Lecture 6: Complex Numbers and Complex Exponentials

Lecture 6: Complex Numbers and Complex Exponentials

Lecture 7: First-order Linear with Constant Coefficients

Lecture 7: First-order Linear with Constant Coefficients

Lecture 8: Continuation

Lecture 8: Continuation

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

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

Lecture 10: Continuation: Complex Characteristic Roots

Lecture 10: Continuation: Complex Characteristic Roots

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

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

Lecture 12: Continuation: General Theory for Inhomogeneous ODEs

Lecture 12: Continuation: General Theory for Inhomogeneous ODEs

Lecture 13: Finding Particular Solutions to Inhomogeneous ODEs

Lecture 13: Finding Particular Solutions to Inhomogeneous ODEs

Lecture 14: Interpretation of the Exceptional Case: Resonance

Lecture 14: Interpretation of the Exceptional Case: Resonance

Lecture 15: Introduction to Fourier Series

Lecture 15: Introduction to Fourier Series

Lecture 16: Continuation: More General Periods

Lecture 16: Continuation: More General Periods

Lecture 17: Finding Particular Solutions via Fourier Series

Lecture 17: Finding Particular Solutions via Fourier Series

Lecture 19: Introduction to the Laplace Transform

Lecture 19: Introduction to the Laplace Transform

Lecture 20: Derivative Formulas

Lecture 20: Derivative Formulas

Lecture 21: Convolution Formula

Lecture 21: Convolution Formula

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

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

Lecture 23: Use with Impulse Inputs

Lecture 23: Use with Impulse Inputs

Lecture 24: Introduction to First-order Systems of ODEs

Lecture 24: Introduction to First-order Systems of ODEs

Lecture 25: Homogeneous Linear Systems with Constant Coefficients

Lecture 25: Homogeneous Linear Systems with Constant Coefficients

Lecture 26: Continuation: Repeated Real Eigenvalues

Lecture 26: Continuation: Repeated Real Eigenvalues

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

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

Lecture 28: Matrix Methods for Inhomogeneous Systems

Lecture 28: Matrix Methods for Inhomogeneous Systems

Lecture 29: Matrix Exponentials

Lecture 29: Matrix Exponentials

Lecture 30: Decoupling Linear Systems with Constant Coefficients

Lecture 30: Decoupling Linear Systems with Constant Coefficients

Lecture 31: Non-linear Autonomous Systems

Lecture 31: Non-linear Autonomous Systems

Lecture 32: Limit Cycles

Lecture 32: Limit Cycles

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

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