Syllabus of PE 303

PE 303 - Numerical Manipulation

Instructor: Dr. Hu Xu Yong Song Kong Chi
hxysk_chi@hebele.edu
TA: Halupatran Mallakamatran Sumatran
mal_sumatran@cnmlab.pe.hebele.edu
Lecture Hours: MM WW 12 12
Office Hours: M F 0 9

Course Description:Solution of solvable systems.Application of and avoidance from numerical methods.Definition of bunch of techniques and their beyond recognition convergence theories. numerical differentiation and integration with differentiable and integrable systems

Textbook. Mathematical formulations of variational topologies and convergence theories of nonlocal discontinuities . Vazalov Sumicovski. Kremlin Publications, Moscow, 1949


Tentative Schedule:

Week 1 - Error

- definition of error

- sources of error
- get rid of error


Week 2 - Photoshop

- essentials of curve manipulation
- graph coloring
- photoshop demo


Week 3-4 Linear systems

- solution of linear systems if the solution is known
- generation of pseudo solutions
- gaussian elimination by hand


Week 5-7 Nonliear systems

- generation of nonlinear systems via linear systems
- how to find someone to beg for solving your nonlinear problem
- urban legend: matlab solves everything
- newtons method and nonsense


Week 8 Numerical Differentiation

- finding 7 difference between two images (that have numbers on them)
- finite difference for indifferent functions

Week 9 Numerical Integration

- trapezoid rule
- zigot rule
- zamazingo rule


Week 10 ODE solution

- runge-kutta method
- ronaldo method
- yok artık lebron james technique


Week 11-13 PDE solution

- jacobi method
- boheme method
- harita metot

Midterms: There are 2 midterms and a final. Midterms are 30 % of the Final and Final is 120 % of the Homeworks

Homework: Homework is 40 % of overall grade. Best HW is 15 % of overall Homework but 20% of the second midterm.

Grading: 1 AA, 2 BA, 3 BB, 4 CB, 5 CC, 6 DC, 7 DD and rest is F