# GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
NUMERICAL METHODS IN CIVIL ENGINEERING/5121308
 Course Title: NUMERICAL METHODS IN CIVIL ENGINEERING Credits 3 ECTS 7.5 Course Semester 1 Type of The Course Elective
COURSE INFORMATION
-- (CATALOG CONTENT)
-- (TEXTBOOK)
-- (SUPPLEMENTARY TEXTBOOK)
-- (PREREQUISITES AND CO-REQUISITES)
-- LANGUAGE OF INSTRUCTION
Turkish
-- COURSE OBJECTIVES
-- COURSE LEARNING OUTCOMES
An ability to use numerical methods.
Modelling of engineering problems and development of solution strategies using numerical methods.
Computer programming applications using numerical methods on civil engineering problems
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-- MODE OF DELIVERY
The mode of delivery of this course is face to face.
 --WEEKLY SCHEDULE 1. Week Introduction, Mathematical Modelling, Programming, Error Analysis, Computer Programming, Excel and High Level Languages. 2. Week Roots of Equations: Graphical, Bisection, False Position, Simple Fixed-Point Iteration, The Newton Raphson,Secant Methods,Systems of Non-linear Eqs. 3. Week Linear Algebraic Equations: Gauss Elimination, Gauss-Seidel, Gauss-Jordan, Thomas Algorithm,L-U Decomposition and Matrix Inverse. 4. Week Curve Fitting: Least-Squares Regression; Linear Regression, Polynomial Regression, Multiple Linear Regression, Nonlinear Regression. 5. Week Interpolation; Newton's Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomials. 6. Week Numerical Differentiation and Integration:Newton Cotes Integration Formulae, Trapezoidal Rule, Simpson's Rules, Multiple Integrals 7. Week Midterm examination 1 8. Week Improper Integrals, Numerical Differentiation, High-Accuracy Differention Formulas, Partial Differention. 9. Week Ordinary Differential Equations: Euler's Method, Improved Euler (Heun) Method, Runge-Kutta Methods. 10. Week Solution of Systems of Ordinary Differential Equations Boundary Value and Eigenvalue Problems. 11. Week Finite Difference Methods: Solution Methods for Elliptic Equations, Laplace Equation, Boundary Conditions, Control Volume Approache. 12. Week Solution Methods for Parabolic Equations:Heat Conduction Equation, Explicit Methods, Implicit Method,The Cranck-Nicolson Method,Two dimension problems. 13. Week Solution Methods for Hyperbolic Equations. 14. Week Case Studies for Partial Differential Equations. 15. Week Mid-term examination 2. 16. Week -
-- TEACHING and LEARNING METHODS
-- ASSESSMENT CRITERIA
 Quantity Total Weighting (%) Midterm Exams 2 70 Assignment 6 30 Application 0 0 Projects 0 0 Practice 0 0 Quiz 0 0 Percent of In-term Studies 60 Percentage of Final Exam to Total Score 40