DEGREE PROGRAMS  Associate's Degree (Short Cycle)  Bachelor’s Degree (First Cycle)  Master’s Degree (Second Cycle)

Course Description Course Name : Numerical Methods in Engineering Course Code : İM-525 Course Type : Optional Level of Course : Second Cycle Year of Study : 1 Course Semester : Fall (16 Weeks) ECTS : 6 Name of Lecturer(s) : Learning Outcomes of the Course : describes the main logic of the numerical methods,  solves engineering problems by using the gained knowledge from this course, defines and applies the appropriate numerical method for any engineering problem, analyzes linear equation systems, calculates numerical differentiation and numerical integral. Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : Aims to teach the logic of Numerical methods and to ensure the application of numerical methods to various scientific, industrial and engineering problems. Course Contents : Introduction to numerial methods; Error concept in numerical analysis; solution methods of nonlinear equations; solution of linear equation systems; solution methods of eigenvalue problems; approximate methods; interpolation, numerical integral, numerical differentiation. Language of Instruction : Turkish Work Place : Classrooms of the Civil Engineering Department   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Introduction to Numerical Analysis. Error Concept Reading Oral and written explanation, sample solutions 2 Non-linear equations and systems of equations, root finding Reading Oral and written explanation, sample solutions 3 Bisection method, Newton-Raphson Method, Secant Method Reading Oral and written explanation, sample solutions 4 Linear systems of equations, direct methods Reading Oral and written explanation, sample solutions 5 Gauss elimination method. LU method Reading Oral and written explanation, sample solutions 6 Eigenvalue Problems, analytical method for the solution Reading Oral and written explanation, sample solutions 7 Force Method for the numerical solution of Eigenvalue Problems Reading Oral and written explanation, sample solutions 8 MIDTERM EXAM Reading Written examination 9 Interpolation. Reading Oral and written explanation, sample solutions 10 Interpolation polynomials: Least Squares Method, Method of Lagrange, Newton´s Method Reading Oral and written explanation, sample solutions 11 Numerical Differentiation Reading Oral and written explanation, sample solutions 12 Numerical Integration, Trapezoidal and Simpson rules Reading Oral and written explanation, sample solutions 13 Gaussian quadrature formulas of integration Reading Oral and written explanation, sample solutions 14 Numerical solutions of differential equations: Initial Value Problems Reading Oral and written explanation, sample solutions 15 Numerical solutions of differential equations: Boundary Value Problems Reading Oral and written explanation, sample solutions 16/17 FINAL EXAM Reading Written examination   Required Course Resources Resource Type Resource Name Recommended Course Material(s)   Numerical Method in Engineering - S.C. Chapra, R.P. Canale. James F. Epperson, 2001. Required Course Material(s)   Assessment Methods and Assessment Criteria Semester/Year Assessments Number Contribution Percentage     Mid-term Exams (Written, Oral, etc.) 1 50     Homeworks/Projects/Others 4 50 Total 100 Rate of Semester/Year Assessments to Success 40   Final Assessments 100 Rate of Final Assessments to Success 60 Total 100   Contribution of the Course to Key Learning Outcomes # Key Learning Outcome Contribution* 1 Have knowledge and understanding at advanced level providing required basis for original projects in the field of civil engineering based on qualifications gained at undergraduate level. 5 2 Gain required knowledge through scientific research in the field of engineering, evaluate, interpret and apply data. 2 3 Be aware of new and emerging applications,examine and learn where necessary. 4 4 Construct engineering problems, develop strategies to solve them, and apply innovative methods for solutions. 5 5 Design and implement analytical modeling and experimental research and solve complex situations encountered in this process 3 6 Develop new and / or original ideas and methods; develop innovative solutions for the system, part, and process design. 3 7 Have learning skills 5 8 Be aware of innovative developments in the field of civil engineering, and analyse and learn them when needed. 4 9 Transfer process and results of the projects in the field of civil engineering or on national and international platforms in written or oral form. 0 10 Have knowledge in current techniques and methods applied in civil engineering. 1 11 Use computer software as well as information and communication technologies at the level required in the field of civil engineering 5 12 Oversee social, scientific and ethical values in all professional platforms. 0 * Contribution levels are between 0 (not) and 5 (maximum).   Student Workload - ECTS Works Number Time (Hour) Total Workload (Hour) Course Related Works     Class Time (Exam weeks are excluded) 14 4 56     Out of Class Study (Preliminary Work, Practice) 14 4 56 Assesment Related Works     Homeworks, Projects, Others 4 3 12     Mid-term Exams (Written, Oral, etc.) 1 8 8     Final Exam 1 10 10 Total Workload: 142 Total Workload / 25 (h): 5.68 ECTS Credit: 6