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Browse materialsMIT 18.03SC · Fall 2011 · OCW Scholar

Differential Equations

Subjects: Algebra · Linear Algebra · Mathematics

Art: Anonymous painter,15th century, Westerner and Arab practicing geometry 15th century manuscript, 15th… · Public domain

Instructors
Prof. Arthur Mattuck, Prof. Haynes Miller, Dr. Jeremy Orloff, Dr. John Lewis
Term
Fall 2011
Level
Undergraduate
What's inside
122 videos · 9 exams · 30 solutions · 645 other files · 44 web pages
Materials open
Videos here · files on MIT OCW
Other versions of this course

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Start course: Unit I: First Order Differential EquationsFind a topic

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About this course

Source: MIT OpenCourseWare 18.03SC Differential Equations, Fall 2011, Prof. Arthur Mattuck, Prof. Haynes Miller, Dr. Jeremy Orloff, Dr. John Lewis — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own units, each a lecture sequence in MIT's listing order; no single course-wide order across units is claimed. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 22, 2026. How RedLectern is built.

Learn one topic

36 concept pages, one per MIT session: the clips, notes and practice for that topic. MIT solutions for 35 of 36 topics.

All 36 topics
  1. Basic DE's and Separable Equations MIT solutions
  2. Geometric Methods MIT solutions
  3. Numerical Methods MIT solutions
  4. First Order Linear ODE's MIT solutions
  5. Solution by Integrating Factors MIT solutions
  6. Complex Arithmetic and Exponentials MIT solutions
  7. Sinusoidal Functions MIT solutions
  8. First Order Constant Coefficient Linear ODE's MIT solutions
  9. Exponential Input; Gain and Phase Lag MIT solutions
  10. First Order Autonomous Differential Equations MIT solutions
  11. Modes and the Characteristic Equation MIT solutions
  12. Damped Harmonic Oscillators MIT solutions
  13. Exponential Response MIT solutions
  14. Gain and Phase Lag MIT solutions
  15. Undetermined Coefficients MIT solutions
  16. Linear Operators, Linear Time Invariance MIT solutions
  17. Pure Resonance MIT solutions
  18. Frequency Response and Practical Resonance MIT solutions
  19. Fourier Series: Basics MIT solutions
  20. Operations on Fourier Series MIT solutions
  21. ODE's with Periodic Input, Resonance MIT solutions
  22. Step and Delta Functions: Integrals and Generalized Derivatives MIT solutions
  23. Unit Step and Unit Impulse Response MIT solutions
  24. Convolution MIT solutions
  25. Laplace Transform: Basics MIT solutions
  26. Partial Fractions and Inverse Laplace Transform MIT solutions
  27. Laplace Transform: Solving Initial Value Problems MIT solutions
  28. Transfer (System) and Weight Functions, Green's Formula MIT solutions
  29. Poles, Amplitude Response, Connection to ERF MIT solutions
  30. Linear Systems MIT solutions
  31. Matrix Methods: Eigenvalues and Normal Modes MIT solutions
  32. Qualitative Behavior: Phase Portraits MIT solutions
  33. Matrix Exponentials MIT solutions
  34. Nonlinear Systems MIT solutions
  35. Linearization Near Critical Points MIT solutions
  36. Limitations of the Linear: Limit Cycles and Chaos

Before you start

Prerequisites are not listed here. Check MIT's own syllabus for this course.

How this course was organized

What's here, and what isn't

  • This course has 122 videos, each embedded on its own MIT page, across 36 sections. They're shown in MIT's listing order within each section. A verified course-wide order is not claimed for this course.

Not included here

9 items from the source could not be safely included:

  • MIT's page format for this item wasn't recognized clearly enough to place it safely. (9 items)

Units

Each unit is offered as its own lecture sequence; there is no single course-wide order across units.

  1. Unit I: First Order Differential Equations38 activities · lecture sequence, in MIT's listing order
  2. Unit II: Second Order Constant Coefficient Linear Equations25 activities · lecture sequence, in MIT's listing order
  3. Unit III: Fourier Series and Laplace Transform29 activities · lecture sequence, in MIT's listing order
  4. Unit IV: First-order Systems30 activities · lecture sequence, in MIT's listing order

Materials by section

Grouped by section, as MIT organized them. Not sequenced or ordered.

Unit I: First Order Differential Equations

156 files in this section

Conventions

7 files

Basic DE's

17 files

Geometric Methods

13 files

Numerical Methods

13 files

Linear ODE's

12 files

Integrating Factors

19 files

Complex Arithmetic

25 files

Sinusoidal Functions

14 files

Constant Coefficients

Exponential Input

10 files

Autonomous Equations

16 files

Linear vs. Nonlinear

Exam 1

Unit II: Second Order Constant Coefficient Linear Equations

98 files in this section

Characteristic Equation

12 files

Damped Oscillators

7 files

Exponential Response

14 files

Gain and Phase Lag

14 files

Undetermined Coefficients

15 files

Linear Operators

9 files

Pure Resonance

Frequency Response

13 files

Applications

Exam 2

Unit III: Fourier Series and Laplace Transform

160 files in this section

Fourier Series: Basics

18 files

Operations

16 files

Periodic Input

12 files

Step and Delta

16 files

Impulse Response

22 files

Convolution

9 files

Laplace Transform

15 files

Partial Fractions

10 files

Solving IVP's

13 files

Transfer Functions

16 files

Poles

10 files

Exam 3

Unit IV: First-order Systems

85 files in this section

Linear Systems

22 files

Matrix Methods

14 files

Phase Portraits

14 files

Matrix Exponentials

15 files

Nonlinear Systems

Linearization

9 files

Limit Cycles and Chaos

Final Exam

Other materials from this course

54 files
122 video transcripts
53 images

MIT OpenCourseWare, Prof. Arthur Mattuck, Prof. Haynes Miller, Dr. Jeremy Orloff, Dr. John Lewis, 18.03SC Differential Equations, Fall 2011.

License: CC BY-NC-SA 4.0 · Edition: Fall 2011 · Open the original course on OCW ↗

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