Information Package
baskent.edu.tr

Program of Civil Engineering (English)

CE311

NUMERICAL METHODS FOR CIVIL ENGINEERS

Course Code
CE311
Semester
Fifth Term (Fall)
Theory+Practice
2 + 2
ECTS
4
Course TypeCompulsory Course
Course LevelBachelor's Degree
Year of Study3
SemesterFifth Term (Fall)
ECTS4
Name of Lecturer(s) -
Learning Outcomes

At the end of this course, the students;

  1. Understand the mathematical fundamentals of basic numerical methods,
  2. Learn and successfully apply basic numerical methods for solving linear and nonlinear equations,
  3. Apply fundamental numerical methods for approximation, integration, and differentiation,
  4. Explain and implement basic numerical techniques to solve initial-value and boundary-value differential equation problems,
  5. Develop algorithms required to apply the necessary numerical methods and programming techniques on computers.
Mode of DeliveryFace to face
PrerequisitesNo
Recommended Optional Programme ComponentsNone
Course DescriptionIntroduction 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
15th Week System of ODEs, Boundary-Value Problems
Recommended or Required ReadingReference:
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 5
Quiz 1 20
Attendance 1 5
Total(%) 60
Contribution of In-term Studies to Overall Grade(%) 60
Contribution of Final Examination to Overall Grade(%) 40
Total(%) 100
Language of InstructionEnglish
Work Placement(s)No

Programme Qualifications / Learning Outcomes

LO1 LO2 LO3 LO4 LO5
K1 X
K2 X
K3
K4 X X X
K5
K6
K7
K8 X
K9
K10
K11