Numerical Analysis (ENS 409)

2021 Fall
Faculty of Engineering and Natural Sciences
Engineering Sciences(ENS)
3
6.00 / 6.00 ECTS (for students admitted in the 2013-14 Academic Year or following years)
Mustafa Ünel munel@sabanciuniv.edu,
Click here to view.
English
Undergraduate
CS201
Formal lecture,On-line task/distance,Recitation
Interactive,Project based learning,Simulation
Click here to view.

CONTENT

This course covers the use of numerical computing techniques for mathematical and scientific problems. Topics include: floating-point representation, approximations and computer arithmetic, error analysis, conditioning and stability, Taylor series, roots of nonlinear equations, Newton's method, curve fitting and interpolation solution to systems of linear equations using techniques such as LU decomposition, Gaussian elimination, Jacobi, Gauss-Seidel Iteration, eigenvalue problems, numerical integration and solutions to differential equations.

OBJECTIVE

To provide a solid background for understanding and implementing numerical analysis and related algorithms.

LEARNING OUTCOME

Apply the basic numerical concepts such as error analysis, round off error, subtractive cancellation, and error magnification.
Apply fundamental numerical analysis tools and identify their limitations
Apply these basic numerical principles to model and analyze engineering problems.
Gain hand on experience by developing computational tools for applied numerical problem

ASSESSMENT METHODS and CRITERIA

  Percentage (%)
Final 30
Midterm 30
Individual Project 30
Homework 10

RECOMENDED or REQUIRED READINGS

Textbook

Numerical Analysis, J. Douglas Faires and Richard L. Burden, Thomson Press, 2004 (9th edition is available as pdf)

Optional Readings

- Applied Numerical Methods with MATLAB for Engineers and Scientists, S. C. Chapra, 3rd Edt., Tufts University, McGraw-Hill, 2012.
- Numerical Methods for Engineers, Steven C. Chapra and Raymond P. Canale, 6th Edition, McGraw-Hill, 2010
- Numerical Methods using MATLAB, J.H. Mathews & K.D. Fink, 4th Edt., Pearson, 2004.