- Course Code
- ME218
- Semester
- Fourth Term (Spring)
- Theory+Practice
- 3 + 1
- ECTS
- 4
| Course Type | Compulsory Course |
|---|
| Course Level | Bachelor's Degree |
|---|
| Year of Study | 2 |
|---|
| Semester | Fourth Term (Spring) |
|---|
| ECTS | 4 |
|---|
| Name of Lecturer(s) |
|
| Learning Outcomes |
At the end of this course, the students;
- Ability to solve complex engineering equations numerically.
- Numerical analysis of sets of equations of linear or non-linear problems.
- The ability to determine and analyze the behavior of obtained experimental data.
- Obtaining approximate solutions to mechanical engineering problems by using simple function fittings instead of complex functions.
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | Yes(MATH209) |
|---|
| Recommended Optional Programme Components | |
|---|
| Course Description | Modeling, Truncation and rounding errors. Taylor series. Roots of equations: Bracketing and Open methods. Matrices. Solutions of linear algebraic equations; Gauss elimination and decomposition methods. Special matrices and methods for matrix inversion. Solutions of nonlinear system of equations. Curve fitting; least square approximation, Interpolation. Numerical differentiation and integration. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Introduction to numerical analysis, iterations, errors, decimal places |
|
2nd Week |
Roots of equations, bracketing methods |
|
3rd Week |
Roots of equations, open methods |
|
4th Week |
Solutions of linear algebraic equations, Gauss elimination |
|
5th Week |
Solutions of linear algebraic equations, LU decomposition |
|
6th Week |
Solutions of nonlinear algebraic equations, Jacobian matrice,Gauss-Seidel |
|
7th Week |
Numerical solution of eigenvalue and eigenvector problems, Power method |
|
8th Week |
Least square approximation |
|
9th Week |
Interpolation, Newton and Lagrange polynomial |
|
10th Week |
Numerical differentiation |
|
11th Week |
Numerical integration, trapezoid ve Simpsons methods |
|
12th Week |
Method of undetermined coefficients, Gaussian Quadrature |
|
13th Week |
Numerical solutions of ordinary differential equations, initial values |
|
14th Week |
Numerical solutions of ordinary differential equations, boundary values |
|
| Recommended or Required Reading | S.C. Chapra, R.P. Canale, Mühendisler İçin Sayısal Yöntemler
J.D. Hoffman, Numerical Methods for Engineers and Scientists |
|---|
| Planned Learning Activities and Teaching Methods |
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|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
35 |
| Assignment |
2 |
5 |
| Quiz |
1 |
15 |
| Total(%) |
|
55 |
| Contribution of In-term Studies to Overall Grade(%) |
|
55 |
| Contribution of Final Examination to Overall Grade(%) |
|
45 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
2 |
2 |
| Preparation for Quiz |
4 |
1 |
4 |
| Individual or group work |
14 |
0.5 |
7 |
| Preparation for Final exam |
1 |
20 |
20 |
| Course hours |
14 |
4 |
56 |
| Preparation for Midterm exam |
1 |
12 |
12 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2.5 |
2.5 |
| Homework |
2 |
8 |
16 |
| Quiz |
4 |
0.5 |
2 |
| Total Work Load | 121.5 |
| Total Work Load / 30 (h) | 4.05 |
| ECTS Credit of the Course | 4 |
|
| Language of Instruction | English |
|---|
| Work Placement(s) | No |
|---|
Programme Qualifications / Learning Outcomes
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LO1 |
LO2 |
LO3 |
LO4 |
| K1 |
X |
X |
X |
X |
| K2 |
X |
X |
X |
X |
| K3 |
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| K4 |
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| K5 |
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X |
X |
| K6 |
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| K7 |
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| K8 |
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| K9 |
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| K10 |
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| K11 |
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