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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.
     

ACKNOWLEDGEMENT:
This course content is a redistribution of MIT Open Courses. Access to the course materials is free to all users.






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