MATH251 ADVANCED CALCULUS I
| Course Code: |
2360251 |
| METU Credit (Theoretical-Laboratory hours/week): |
4(4-0) |
| ECTS Credit: |
10.0 |
| Department: |
Mathematics |
| Language of Instruction: |
English |
| Level of Study: |
Undergraduate |
| Course Coordinator: |
Lecturer Dr. MUHÝDDÝN UÐUZ |
| Offered Semester: |
Fall Semesters. |
Course Content
Topology of R, R2 and R 3 . Functions of several variables; limits and continuity. Partial derivatives, directional derivatives, gradients. Differentials and the tangent plane: the Fundamental Lemma, approximations. The Mean Value, implicit and Inverse function theorems. Extreme values. Introduction to vector differential calculus: the gradient, divergence and curl. Curvilinear coordinates.
