AEE305 NUMERICAL METHODS
| Course Code: | 5720305 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 5.0 |
| Department: | Aerospace Engineering |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Assoc.Prof.Dr. NİLAY SEZER UZOL |
| Offered Semester: | Fall Semesters. |
Course Objectives
At the end of this course the students will have an
- An ability to expand functions into Taylor series and related truncation errors, and round-off errors
- An ability to solve first and higher-order initial value ODEs, and coupled set of initial value ODEs with multi-step (Runge-Kutta) methods
- An ability to solve coupled set of initial value ODEs
- An ability to formulate conservation laws in integral and partial differential forms
- An ability to discretize integral forms of governing equations in finite
volumes - An ability to discretize PDEs in finite differences and perform Fourier stability analysis
- An ability to classify PDEs as elliptic, parabolic and hyperbolic, and make proper choice of numerical methods for their solution
- An ability to write a computer program to solve initial value ODEs in general
- An ability to implement and/or modify finite volume and finite difference
methods in Fortran - An ability to compile and run Fortran programs on computers and analyze results using graphical tools
- An ability to work on teams
- An ability to report homework solutions in technical form
- An ability to make ethical choices
Course Content
Numerical solution of Ordinary Differential Equations (ODE), initial value problems, Euler s method, Runge Kutta methods, stability analysis, Solution of system of ODE s and high order ODE s. Boundary value problems. Numerical solution of integral equations, Finite Volume Method. Numerical solution of Partial Differential equations (PDE), Finite Difference Method, convergence and stability analysis. Model equations, numerical solutions of parabolic PDEs, elliptic PDEs and hyperbolic PDEs. Prerequisite: ES 305 or consent of the department.
Course Learning Outcomes
ABET Criteria a, b, d, e, f, g, j and k are addressed in this course.
Program Outcomes Matrix
| Contribution | |||||
| # | Program Outcomes | No | Yes | ||
| 1 | An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics | ✔ | |||
| 2 | An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors | ✔ | |||
| 3 | An ability to communicate effectively with a range of audiences | ✔ | |||
| 4 | An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts | ✔ | |||
| 5 | An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives | ✔ | |||
| 6 | An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions | ✔ | |||
| 7 | An ability to acquire and apply new knowledge as needed, using appropriate learning strategies | ✔ | |||