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8/15/13 Vi deo Lectures | Di fferenti al Equati ons | Mathemati cs | MIT OpenCourseWare ocw.mit.edu/courses/mathematics/18-03-differenti al - equati ons-spring-2010/video- lectur es/ 1/4 Subscribe to the OC W New sletter Enter Email Help | Contact Us Search  Advanc ed Search Home » Courses » Mathematics » Differential Equations » Video Lectures Video Lectures COURSE HOME YLLABUS CALENDAR READINGS LECT URE NOTES RECI  TATIONS SSI GNMENTS MAT HLETS EXAMS IDEO LECTURES DOWNLOAD COURSE MAT ERIALS Lecture 1: The Geometrical View of y'= f(x ,y ) Lecture 2: Euler's Num erical Method for y '=f(x,y) Lecture 3: Solving First-order Linear ODEs Lecture 4: First-order Substitution Methods Lecture 5: First-order Autonomous ODEs Lecture 6: Complex Numbers and Com plex Ex ponentials Lecture 7: First-order Linear with Con stant Coefficients Lecture 8: Continuation Lecture 9: Solv ing Second-order Line ar ODE' s with Con stant Coefficients These v ideo lectures of Profess or Art hur Matt uck teac hing 18.03 were recorded live in the Spring of 2003 and d o not correspond precise ly to the lecturestaught in the Spri ng of 2010. This table ( PDF) provides a correlation between the video and the lectu res in the 2010 v ersion of the course. The v ideotaping was made possible byThe d'Arbeloff Fund for Excellence in MIT Education. Note: Lecture 18, 34, and 35 are not available. Subscribe to this collection » » » » » » » » » Courses  Abo ut Donate Featured Sites

# Video Lectures _ Differential Equations _ Mathematics _ MIT OpenCourseWare

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7/27/2019 Video Lectures _ Differential Equations _ Mathematics _ MIT OpenCourseWare

8/15/13 Video Lectures | Differential Equations | Mathematics | MIT OpenCourseWare

ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/video-lectures/ 2/4

Lecture 10: Continuation: Com plex Characteristic Roots

Lecture 11: Theory of General Second-order Linear

Homogeneous ODEs

Lecture 12: Continuation: General Theory for Inhomogeneous

ODEs

Lecture 13: Finding Particular Solutions to Inhom ogeneous

ODEs

Lecture 14: Interpretation of the Exceptional Cas e: Resonance

Lecture 15: Introduction to Fourier Series

Lecture 16: Continuation: More General Periods

Lecture 17: Finding Particular Solutions via Fourier Series

Lecture 19: Introduction to the Laplace Transform

Lecture 20: Derivative Formu las

Lecture 21: Convolution Formula

Lecture 22: Using Laplace Transform to Solve ODEs with

Discontinuous Inputs

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7/27/2019 Video Lectures _ Differential Equations _ Mathematics _ MIT OpenCourseWare

8/15/13 Video Lectures | Differential Equations | Mathematics | MIT OpenCourseWare

ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/video-lectures/ 3/4

Lecture 24: Introduction to First-order Systems o f ODEs

Lecture 25: Homogeneous Linear Systems with Constant

Coefficients

Lecture 26: Continuation: Repeated Real Eigenvalues

Lecture 27: Sketching Solutions of 2x2 Homogeneous Linear

System with Cons tant Coefficients

Lecture 28: Matrix Methods for Inhomogeneous Systems

Lecture 29: Matrix Exponentials

Lecture 30: Decoupling Linear Systems with Constant

Coefficients

Lecture 31: Non-linear Autonomous Systems

Lecture 32: Limi t Cycles

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

order ODEs

Lecture 23: Use with Impulse Inputs

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7/27/2019 Video Lectures _ Differential Equations _ Mathematics _ MIT OpenCourseWare

8/15/13 Video Lectures | Differential Equations | Mathematics | MIT OpenCourseWare

ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/video-lectures/ 4/4

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