Courses:

Course Info

• Course Number / Code:
• 18.03 (Spring 2006) 
• Course Title:
• Differential Equations 
• Course Level:
• Undergraduate 
• Offered by :
• Massachusetts Institute of Technology (MIT)
  Massachusetts, United States  
• Department:
• Mathematics 
• Course Instructor(s):
• Prof. Arthur Mattuck
  Prof. Haynes Miller 
• Course Introduction:
•  
• 
  
  18.03 Differential Equations
  
  
  
  

  Spring 2006

  
  
  

  
  
  

  Course Highlights

  
  
  

  This course includes lecture notes, assignments, and a full set of video lectures.

  
  
  

  Course Description

  
  
  

  Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE's) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's, especially second order with constant coefficients; Undetermined coefficients and variation of parameters; Sinusoidal and exponential signals: oscillations, damping, resonance; Complex numbers and exponentials; Fourier series, periodic solutions; Delta functions, convolution, and Laplace transform methods; Matrix and first order linear systems: eigenvalues and eigenvectors; and Non-linear autonomous systems: critical point analysis and phase plane diagrams.

  
  
  

  Special Features

  
  
  

  • Complete video lectures

  
  
  

  Technical Requirements

  
  
  

  Special software is required to use some of the files in this course: .jar.