TYPE OF COURSE UNIT	Compulsory Course
LEVEL OF COURSE UNIT	Bachelor's Degree
YEAR OF STUDY	2
SEMESTER	Fourth Term (Spring)
NUMBER OF ECTS CREDITS ALLOCATED	5
NAME OF LECTURER(S)	Assistant Professor Sevinç Ünsal Oral
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) Have an essential background on the fundamental numerical methods and their application to engineering problems, 2) Be able successfully to apply the basic numerical methods to solve linear and non-linear equation systems, 3) Be able successfully to apply the basic numerical methods to approximate, integrate and differentiate functions and sets of discrete data, 4) Be able successfully to apply the basic numerical methods to solve differential equations of initial-value and boundary-value problems, 5) Be qualified to construct algorithms necessary to implement the essential numerical methods and programming techniques into computers.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	Yes(CE211)
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	None
COURSE DEFINITION	Introduction to mathematical modeling in civil engineering and MATLAB. Accuracy, errors and propagation of errors. Solving system of linear and non-linear algebraic equations. Eigenvalue problems. Approximation of functions. Numerical differentiation and integration. Numerical solution of differential equations. Special Topics.
COURSE CONTENTS	WEEK TOPICS 1st Week Taylor Series, Approximations and Errors 2nd Week Roots of Equations: Bisection, False Position, and Iteration Methods 3rd Week Newton-Raphson and Secant Methods, System of Non-linear Equations 4th Week System of Linear Algebraic Equations: Gauss Elimination, Matrix Inversion, Gauss-Seidel Iteration 5th Week One-dimensional Unconstrained Optimization 6th Week Curve Fitting, Least Squares Regression 7th Week Polynomial Interpolation 8th Week Midterm 9th Week Spline Interpolation and Numerical Differentiation 10th Week Numerical Integration, Newton-Cotes Formulae 11th Week Romberg?s and Gauss-Quadrature Integration 12th Week Solution of Ordinary Differential Equations 13th Week Euler, Runge-Kutta, Multi-Step Methods 14th Week System of ODEs, Initial-Value Problems, Boundary-Value Problems
RECOMENDED OR REQUIRED READING	Reference: Gandhi, C.P., Numerical Methods in Civil Engineering, Laxmi Publications Pvt Ltd, 2018. Additional Resources: Chapra, S.C., Canale, R.P., Numerical Methods for Engineers, McGraw-Hill Education, 7 edition, 2014. Ames, W.F., Numerical Methods for Partial Differential Equations, Academic Press, New York, 1977.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers,Problem Solving,Practice
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 30 Assignment 1 15 Quiz 1 10 Attendance 1 5 Total(%) 60 Contribution of In-term Studies to Overall Grade(%) 60 Contribution of Final Examination to Overall Grade(%) 40 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 2 2 Preparation for Quiz 1 4 4 Individual or group work Preparation for Final exam 1 45 45 Course hours 14 4 56 Preparation for Midterm exam 1 35 35 Laboratory (including preparation) Final exam 1 2 2 Homework 1 2 2 Quiz 1 1 1 Total Workload 147 Total Workload / 30 4,9 ECTS Credits of the Course 5
LANGUAGE OF INSTRUCTION	English
WORK PLACEMENT(S)	No