To delve into a topic of interest by finding and studying articles or part of the textbook (ex. Case Studies) on that topic and then writing a report, which should include some mathematical analysis

 To delve into a topic of interest by finding and studying articles or part of the textbook (ex. Case Studies) on that topic and then writing a report, which should include some mathematical analysis and/or numerical computations. 

book name is  Numerical Methods for Engineers, 7th Edition, S.C.Chapra and R.P.Canale, McGraw-Hill  

 A) Project proposal and midterm report:  Project title  Project background  Questions and Goals  Plan: Do you intend to use special software?  The midterm report should be roughly 2-3 pages double-spaced. B) Final project report and give short talk on project  Report and talk what you expect (why is the method used?),  Tell how the method deals with the problem and show a (simple) implementation of the method.  In your report show that you have understood the methods  For the talk you would present the method to the class in a way that your class mates should be able to understand and show some numerical results  The final report should be roughly 5-7 pages double-spaced  Your report should list all sources (at least 2) used