Information Package & Course Catalogue
| 1 | Course Title: | NUMERICAL ANALYSIS |
| 2 | Course Code: | MAT3044 |
| 3 | Type of Course: | Compulsory |
| 4 | Level of Course: | First Cycle |
| 5 | Year of Study: | 3 |
| 6 | Semester: | 5 |
| 7 | ECTS Credits Allocated: | 4 |
| 8 | Theoretical (hour/week): | 2 |
| 9 | Practice (hour/week) : | 0 |
| 10 | Laboratory (hour/week) : | 1 |
| 11 | Prerequisites: | None |
| 12 | Recommended optional programme components: | None |
| 13 | Language: | Turkish |
| 14 | Mode of Delivery: | Face to face |
| 15 | Course Coordinator: | Prof. Dr. NURSEL ÖZTÜRK |
| 16 | Course Lecturers: | Doç. Dr. ASLI AKSOY |
| 17 | Contactinformation of the Course Coordinator: |
nursel@uludag.edu.tr Tel: 0224 294 2083 Bursa Uludağ Üniversitesi Endüstri Mühendisliği Bölümü |
| 18 | Website: | |
| 19 | Objective of the Course: | The objective of the course is to learn the numerical analysis methods. |
| 20 | Contribution of the Course to Professional Development | The contribution of the course to the professional development is to introduce the basic knowledge and methods about numerical analysis, and to provide ability to apply the learned methods. |
| 21 | Learning Outcomes: |
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| 22 | Course Content: |
| Week | Theoretical | Practical |
| 1 | Introduction to Numerical Analysis, Error Analysis | MATLAB |
| 2 | The solution of nonlinear equations - Bracketing Methods (Graphical methods, The Bisection Method, The False-Position Method) | MATLAB and Numerical Methods Toolkit |
| 3 | The solution of nonlinear equations -Open Methods (Simple fixed point iteration, The Newton-Raphson Method) | MATLAB and Numerical Methods Toolkit |
| 4 | The solution of nonlinear equations (The Secant Method, Multiple roots) | MATLAB |
| 5 | Linear algebraic equations (Motivation, Gauss Elimination, Pitfalls of elimination methods, Techniques for improving solutions, Determinant with Gauss elimination) | MATLAB |
| 6 | Linear algebraic equations (Gauss-Jordan, The matrix inverse, The solution vector with Gauss-Jordan and matrix inverse) | MATLAB |
| 7 | Linear algebraic equations (LU Decomposition, LU Decomposition version of Gauss elimination-Doolittle, Crout decomposition, The matrix inverse with the LU decomposition) | MATLAB |
| 8 | Linear algebraic equations (Cholesky decomposition, Gauss-Seidel method, Jacobi iteration, Convergence criterion for the Gauss-Seidel, Relaxation) | MATLAB |
| 9 | Least-squares regression, Linear regression, Polynomial regression | MATLAB and Numerical Methods Toolkit |
| 10 | Non-linear regression and linearization, Multiple linear regression | MATLAB and Numerical Methods Toolkit |
| 11 | Interpolation (Newton’s divided-difference interpolating polynomials, Lagrange interpolating polynomials) | MATLAB |
| 12 | Spline Interpolation (Linear, Quadratic, Cubic Splines) | MATLAB |
| 13 | Numerical Integration (The Trapezoidal Rule, Simpson’s Rules, Integration with unequal segments), Romberg Integration | MATLAB |
| 14 | Numerical Differentiation, High-Accuracy Differentiation Formulas | MATLAB |
| 23 | Textbooks, References and/or Other Materials: |
• S.C. Chapra and R.P. Canale, “Numerical Methods for Engineers”, McGraw Hill. • S.C. Chapra and R.P. Canale, Çev. H. Heperkan, U. Kesgin, “Yazılım ve Programlama Uygulamalarıyla Mühendisler İçin Sayısal Yöntemler”, Literatür Yay. |
| 24 | Assesment |
| TERM LEARNING ACTIVITIES | NUMBER | PERCENT |
| Midterm Exam | 1 | 40 |
| Quiz | 0 | 0 |
| Homeworks, Performances | 0 | 0 |
| Final Exam | 1 | 60 |
| Total | 2 | 100 |
| Contribution of Term (Year) Learning Activities to Success Grade | 40 | |
| Contribution of Final Exam to Success Grade | 60 | |
| Total | 100 | |
| Measurement and Evaluation Techniques Used in the Course | Midterm Exam, Final Exam | |
| Information | ||
| 25 | ECTS / WORK LOAD TABLE |
| Activites | NUMBER | TIME [Hour] | Total WorkLoad [Hour] |
| Theoretical | 14 | 2 | 28 |
| Practicals/Labs | 14 | 1 | 14 |
| Self Study and Preparation | 14 | 4 | 56 |
| Homeworks, Performances | 0 | 8 | 24 |
| Projects | 0 | 0 | 0 |
| Field Studies | 0 | 0 | 0 |
| Midtermexams | 1 | 2 | 2 |
| Others | 0 | 0 | 0 |
| Final Exams | 1 | 2 | 2 |
| Total WorkLoad | 126 | ||
| Total workload/ 30 hr | 4,2 | ||
| ECTS Credit of the Course | 4 |
| 26 | CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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| LO: Learning Objectives | PQ: Program Qualifications |
| Contribution Level: | 1 Very Low | 2 Low | 3 Medium | 4 High | 5 Very High |