2019-2020 Class

Reference Material:

1.       Numerical Analysis with example problems, M. Turhan ÇOBAN

http://www.turhancoban.com/kitap/NA_with%20example%20problems.pdf

2.       Numerical Methods for Engineers, Steven C. Chapra, Raymond P. Canale, McGrawHill company

3.       Numerical Analysis, Richard L. Burden, J. Douglas Faires, Thomson Brooks/coll company

4.       A First Course in Numerical Analysis, Antony Ralston, Philip  Rabinowitz, Mc Graw Hill

5.       Numerical Methods, Germund Dahlquist, Ake Bjork, Prentice –Hall

Grading

30 % lab exercises

20 % homeworks

50 % final exam

(Passing grade. 60 %)

 

Homeworks will be collected next week on friday classes. They will be given as handwritten paper copies a copy will also be send to:
 numerical_analysis@turhancoban.com email adress
 Homework problems will be given at adress:

http://www.turhancoban.com/dersler/Say%C4%B1sal%20%C3%87%C3%B6z%C3%BCmleme%20%28Numerical%20Analysis%29/index.html


adress. please note that repeated homeworks will share the grade (computer files give detailed information about who created it, when and whom copied it)

2019-2020 Homework sets

Week 1 homeworks


Week 2 homeworks

Week 3 homeworks


c.java   : complex number definitions in java

cComparator.java

horner.java  Horner's synthetic division method in java

horner.py 
Horner's synthetic division method in python

Halley2.java   Halley method in java

halley.py   Halley Method in python

if_x.java

if_x.py


Week 4  excel solutions system of linear equations
excel files

gauss elimination

gauss-jordan elimination

gauss_LU

jacobi

cholesky

Week 4 homeworks


WEEK 5

opt_golden_search.xlsx

opt_secant.xlsx

opt_bisection.xlsx

if_x.java
if_xj.java
surfacePlot2.java
ExampleSurfaceModel2.java
SurfaceCanvas.java

opt_test.java

opt1_test.java

Week5 homeworks

Week6 homeworks

Week 7 homeworks

Week 8 homeworks

Week 9 homeworks

Week10 homeworks

Week 11 homeworks

Week 12 homeworks

Week 13 homeworks

Week 14 Exercise (Trial exams)


Numerical Analysis (Sayısal Çözümleme)

List of Numerical Analysis programs

Numerical Analysis with  example problems (book)

2012 Exercises zip file

2018-2019 homework sets (usefull for additional study)
Week 1 exercises-homework Assignment  Series,  Taylor series, programming languages

Week 2 exercises-homework assignment   Root finding

Week 3 exercises-homework assignments  Root finding

Week 4 exercises-homework assignments  System of line
ar equation
Week 5 exercises-homework assignment  
Optimisation

Week 6 exercises-homework assignment   Optimisation

Week 7 exercises-homework assignment   Curve fitting

Week 8 exercises-homework assignment   Curve fitting

Week 9 exercises-homework assignment  Integral and Derivative

Week 10 exercises-homework assignment
  Differential equations

Week 11 exercises-homework assignment  Differential equations

Week 12exercises-homework assignment  Eigenvalue problems

week 8 excel solution
integral.xls

Week1-2 additional excel and java solutions  (Roos of nonlinear equations):
bisection.xls

false_position.xls

fixed_iteration.xls

Newton-Raphson.xls

secant_1.xls

secant_2.xls

secant_3.xls

muller.xls

WK1HW1.xls

WK1HW1.java

WK1HW1A.java


WK1HW2.xls


WK1HW2.java


Week 5
additional excel solutions system of OPTIMISATION

Golden search

Newton raphson

Newton raphson secant

Week 13 additional excel solutions system of EIGENVALUE PROBLEMS

Power method Largest eigen value 1


Power method Largest eigen value 2

Power method smallest eigen value 1

Power method all eigenvalues