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CMSC 455 Numerical Computations

Class schedule, topic and assignments

Monday and Wednesday 6:00pm to 9:00pm ITE 237

Reading assignments: pages from Applied Numerical Analysis

by Gerald and Wheatley ISBN 0-321-13304-8

Subject to change. Check periodically.

Cls Date   Subject                                 Reading     Homework
                                                   and Notes   assigned due
 1. 5/27   Introduction, Overview, floating point  Lect 1
                                                   pp10-14

 2. 5/27   Rocket Science                          Lect 2       HW1

 3. 5/27   Solving Simultaneous Equations          Lect 3
                                                   pp100-101
           Case Study, matrix inversion            Lect 3a
           Parallel processing with MPI (optional) Lect 3b

 4. 6/1    Least Square Fit                        Lect 4       HW2
                                                   pp199-206

 5. 6/1    Polynomials                             Lect 5

 6. 6/3    Curve Fitting                           Lect 6              HW1
                                                   pp221-226
                                                   pp240-243

 7. 6/3    Integration                             Lect 7      HW3
                                                   pp272-276
                                                   pp301-307

 8. 6/8    Integration                             Lect 8
                                                   pp297-301

 9. 6/8    Review                                  Lect 9              HW2

10. 6/10   Quiz 1                                  Lect 10

11. 6/10   Complex Arithmetic                      Lect 11

12. 6/10   Complex Functions                       Lect 12

13. 6/15   Eigenvalues of a Complex Matrix         Lect 13
                                                   pp383-385

14. 6/15   LAPACK                                  Lect 14              HW3
                                                   p5

15. 6/15   Multiple precision, bignum              Lect 15      HW4 

16. 6/15 or 17   Finding roots                     Lect 16
                                                   pp44-45

17. 6/17   Optimization, finding minima            Lect 17      proj
                                                   pp417-427

18. 6/17   FFT, Fast Fourier Transform             Lect 18      HW5
                                                   pp288-296
           Digital Filtering, db sound             Lect 18a

19. 6/17   Review                                  Lect 19              HW4

20. 6/22   Quiz 2                                  Lect 20

21. 6/22   Benchmarks, time and size               Lect 21      HW6     HW5

22. 6/22   Project Discussion                      Lect 22

23. 6/24   Computing Volume and Area               Lect 23

24. 6/24   Numerical Differentiation               Lect 24

25. 6/24   Ordinary differential equations         Lect 25
                                                   pp340-347
26. 6/29   Ordinary differential equations         Lect 26

27. 6/29   Partial differential equations          Lect 27
           Differential equation definitions       Lect 27a

29. 6/29   Review                                  Lect 29
                                                   pp461-463
28. 7/1    Partial differential equations          Lect 28
           High order, high dimensional            Lect 28a
           Optional Biharmonic PDE case study      Lect 28d
           Optional Navier Stokes case study       Lect 28b

31. 7/1    Optional Creating PDE Test Cases        Lect 31

30. 7/1    Final Exam                              Lect 30              HW6, proj


           Optional Finite Element Method          Lect 32
           Optional Finite Element Method, tria    Lect 33
           Optional Equation Boundary Reduction    Lect BR
           Optional fem_50 case study              Lect 28c
           Optional Airfoil study                  Lect Air


    No late homework or projects accepted after midnight July 5, 2008
    Late penalty is 10% per class, limit 50% penalty.
    * submitted, not graded until next weekend (not late for a while)
    "optional" means no homework and no exam questions on that lecture.

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Last updated 7/1/09