- Code
- CMP 120
- Name
- Numerical Analysis
- Semester
- 2
- Lecture hours
- 3.00
- Seminar hours
- 1.00
- Laborator hours
- 0.00
- Credits
- 3.50
- ECTS
- 5.00
- Description
-
Binary Numbers. Error analysis. Solving systems of linear equations: Gaussian elimination, modified Gaussian elimination, and LU decomposition. Solving nonlinear equations and systems: methods of Bisection, Newton, Secant, and fixed-point iteration. Interpolation: Lagrange approximation, Newton polynomials, and polynomial approximation. Curve fitting. Numerical differentiation; numerical integration. Numerical optimization. Numerical solutions of initial value problems and boundary value problems: Euler's methods, Heun's method, Taylor's method, Runge-Kutta.
- Objectives
-
Understanding the difference between solving problems by hand and using a computer
- Java
- Tema
- 1
- Numrat Binare
- 2
- Analiza e gabimeve
- 3
- Zgjidhja e ekuacioneve x=g(x). Metodat e kllapave, Njutonit, Sekantit dhe metodat e iteracionit te pikes fikse
- 4
- Procesi Aitkenit dhe Metodat e Steffensenit dhe Mullerit
- 5
- Iteracioni per sistemet jo lineare
- 6
- Iteracioni per sistemet jo lineare
- 7
- Metoda e Njutonit per sistemet jo lineare
- 8
- Provimi gjysmefinal
- 9
- Optimizimet numerike
- 10
- Zgjidhje te sistemeve te ekuacioneve jo lineare. Eliminimi Gausian dhe shnderrimi L-U.
- 11
- Zgjidhje te sistemeve te ekuacioneve lineare. Modifikimi i metodes se eliminimit Gausian
- 12
- Vizualimi i Matricave.
- 13
- Polinomet Njuton dhe Përafërsimi i polinomeve
- 14
- Integrimi numerik. Metoda e Trapezit dhe Simpsonit.
- 15
- Deferencimet numerike dhe integrimet numerike. Metoda e Euler
- 16
- Final Exam
- 1
- Te kuptuarit te ndryshimit mes zgjidhjes se problemeve me dore dhe duke perdorur kompjuterin
- 2
- Te kuptuarit te zgjidhjeve te metodave numerike dhe padyshim te pasurit te nje strukture te nje algoritmi
- Quantity Percentage Total percent
- Midterms
- 1 40% 40%
- Quizzes
- 0 0% 0%
- Projects
- 0 0% 0%
- Term projects
- 0 0% 0%
- Laboratories
- 0 0% 0%
- Class participation
- 0 0% 0%
- Total term evaluation percent
- 40%
- Final exam percent
- 60%
- Total percent
- 100%
- Quantity Duration (hours) Total (hours)
- Course duration (including exam weeks)
- 16 4 64
- Off class study hours
- 14 4 56
- Duties
- 0 0 0
- Midterms
- 1 2 2
- Final exam
- 1 2 2
- Other
- 1 1 1
- Total workLoad
- 125
- Total workload / 25 (hours)
- 5.00
- ECTS
- 5.00