# GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
 Course Title: ADVANCED NUMERICAL ANALYSIS 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
Students attending this course will able to gain ability for numerical differentiation and numerical integration.
Students attending this course will able to gain ability for numerical solution of ordinary and partial differential equations

-- MODE OF DELIVERY
The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE 1. Week Solution of non-linear systems of equations, interpolation-extrapolation 2. Week Numerical differentiation. 3. Week Numerical integration, Simpson’s rule, Gauss Quadrature, multiple integral. 4. Week Ordinary differential equations, Numerical solution of initial value problems, Euler method, Taylor series method. 5. Week Numerical solution of initial value problems, Taylor series method. 6. Week Numerical solution of initial value problems, Runge-kutta method. 7. Week Boundary value problems, shooting method. 8. Week Midterm exam, Application of boundary value problems, finite difference method 9. Week Finite difference method for boundary value problems, applications 10. Week Partial-differential equations, Numerical solution of elliptic partial-differential equations, finite difference method, dirichlet and neumann bounda 11. Week Numerical solution of elliptic partial-differential equations, hybrid method, ADI method, applications 12. Week Numerical solution of parabolic partial-differential equations, explicit method, implicit method. 13. Week Numerical solution of parabolic partial-differential equations, crank-nicolson method, theta method, derivative boundary conditions. 14. Week Numerical solution of hyperbolic partial-differential equations. 15. Week 16. Week
-- TEACHING and LEARNING METHODS
-- ASSESSMENT CRITERIA
 Quantity Total Weighting (%) Midterm Exams 1 20 Assignment 1 10 Application 0 0 Projects 0 0 Practice 0 0 Quiz 1 10 Percent of In-term Studies 40 Percentage of Final Exam to Total Score 60