ME210 APPLIED MATH. FOR MECHANICAL ENGINEERS
| Course Code: | 5690210 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 5.0 |
| Department: | Mechanical Engineering |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Assoc.Prof.Dr. AHMET BUĞRA KOKU |
| Offered Semester: | Spring Semesters. |
Course Objectives
At the end of this course, the students will;
- Learn the basic concepts used in advanced vector analysis
- Learn the evaluation of line, surface and volume integrals
- Learn basic concepts in linear algebra and their applications for analysis and solution of engineering/mathematical problems
- Learn complex function analysis and their applications towards analysis and solution of engineering/mathematical problems
- Enhance their analytical thinking and problem analysis skills
- Become aware of the relevance of the learnt mathematical tools to engineering applications
- Appreciate the use of some modern computational tools for the solution of complex engineering/mathematical problems
- Enhance their technical written presentation skills
Course Content
Fundamentals of vector analysis. Vector algebra. Line, surface and volume integrals. Green`s theorem in the plane, Stokes and Gauss theorems. Matrices. Determinant. Systems of linear equations. Characteristic values and characteristic vectors of matrices. Complex numbers. Complex analytic functions, applications.
Course Learning Outcomes
Student, who passed the course satisfactorily will be able to:
-
Formulate and use parametric and closed form representations of curves and surfaces in engineering/ mathematical problems
-
Identify, formulate and use gradient, divergence and curl operations in solving engineering/mathematical problems
-
Identify, formulate and solve engineering/mathematical problems involving line, surface, double, and triple integrals
-
Identify, formulate and use integral theorems in solving engineering / mathematical problems
-
Use basic matrix properties and operations for identifying solution characteristics of systems of linear algebraic equations
-
Solve systems of linear algebraic equations analytically
- Identify, formulate and solve eigenvalue-eigenvector problems analytically
-
Identify similarity of matrices and use it towards diagonalization of matrices
-
Perform basic operations with complex numbers in both rectangular and polar forms
-
Identify some basic complex functions and to use their properties
-
Identify and formulate analyticity concept in mathematical/ engineering functions
-
Identify the appropriate mathematical tool to be used for the solution of a given problem and formulate accordingly
-
Follow a logical sequence of progression in solution, upon formulation of the problem
-
Identify the relevance of learnt mathematical tools to the solution of a given engineering problem
-
Use at least one computational tool in solving engineering/ mathematical problems that involve vector analysis, line/surface/volume integration, linear algebra and complex numbers
-
Report analysis, solution and results in a logical sequence within a standard engineering format
Program Outcomes Matrix
| Contribution | |||||
| # | Program Outcomes | No | Yes | ||
| 1 | Ability to establish the relationship between mathematics, basic sciences and engineering sciences with engineering applications. | ✔ | |||
| 2 | Ability to find and interpret information | ✔ | |||
| 3 | Ability to follow the literature and technology related to his/her topic of interest | ✔ | |||
| 4 | Recognition of the need to keep oneself up to date in his/her profession | ✔ | |||
| 5 | Possession of written and oral communication skills | ✔ | |||
| 6 | Ability to conduct team work (within the discipline, inter-disciplinary, multi-disciplinary) | ✔ | |||
| 7 | Ability to produce original solutions | ✔ | |||
| 8 | Use of scientific methodology in approaching and producing solutions to engineering problems and needs | ✔ | |||
| 9 | Openness to all that is new | ✔ | |||
| 10 | Ability to conduct experiments | ✔ | |||
| 11 | Ability to do engineering design | ✔ | |||
| 12 | Awareness of engineering ethics, knowledge and adoption of its fundamental elements | ✔ | |||
| 13 | Ability to take societal, environmental and economical considerations into account in professional activities | ✔ | |||
| 14 | Possession of pioneering and leadership characteristics in areas related to the profession | ✔ | |||