Courses:

Course Info

• Course Number / Code:
• 18.311 (Spring 2006) 
• Course Title:
• Principles of Applied Mathematics 
• Course Level:
• Undergraduate 
• Offered by :
• Massachusetts Institute of Technology (MIT)
  Massachusetts, United States  
• Department:
• Mathematics 
• Course Instructor(s):
• Prof. Martin Bazant 
• Course Introduction:
•  
• 
  
  18.311 Principles of Applied Mathematics
  
  
  
  

  Spring 2006

  
  
  

  
  
  

  Course Highlights

  
  
  

  This course features assignments and exams.

  
  
  

  Course Description

  
  
  

  This course introduces fundamental concepts in "continuous'' applied mathematics, with an emphasis on nonlinear partial differential equations (PDEs). Topics include linear and nonlinear waves: kinematic waves, method of characteristics, expansion fans, wave breaking, shock dynamics, shock structure; linear and nonlinear diffusion: Green functions, Fourier transform, similarity solutions, boundary layers, Nernst-Planck equations. Applications include traffic flow, gas dynamics, and granular flow.