ES202 MATHEMATICS FOR ENGINEERS
| Course Code: | 5610202 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 5.0 |
| Department: | Engineering Sciences |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Prof.Dr. ZAFER EVİS |
| Offered Semester: | Fall and Spring Semesters. |
Course Objectives
a. specific outcomes of instruction (e.g. The student will be able to explain the significance of current research about a particular topic.)
This course is mainly designed to give sophomore engineering students fundamental concepts of linear algebra, vector spaces, and vector calculus relevant to their fields.
The student will be able to perform basic operations with matrices and determinants, to find eigenvalues and eigenvectors, solve linear systems of equations, show diagonalization of a square matrix, find Modal Matrix quadratic form. The student will be able to understand basic concepts of vectors, vector spaces (dimensions, span and basis) and vector functions, find partial derivatives of vector functions and scalar functions. The student will be able to apply line integral, integrals over and integrals over volumes (volume integral) and to verify integral theorems; Divergence theorem of Gauss, Stokes’s Theorem and Green’s Theorem
b. explicitly indicate which of the student outcomes listed in Criterion 3 or any other outcomes are addressed by the course.
Course Content
Vector spaces, matrices, systems of linear equations, linear transformations, change of basis, eigenvalue problems, quadratic forms and diagonalization. Vector calculus, line, surface, and volume integrals. Gradient, divergence, curl. Green, Gauss and Stokes´ theorems. Complex Numbers.
Course Learning Outcomes
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.