MATH119 CALCULUS WITH ANALYTIC GEOMETRY
| Course Code: |
2360119 |
| METU Credit (Theoretical-Laboratory hours/week): |
5(4-2) |
| ECTS Credit: |
7.0 |
| Department: |
Mathematics |
| Language of Instruction: |
English |
| Level of Study: |
Undergraduate |
| Course Coordinator: |
Lecturer Dr. MUHÝDDÝN UÐUZ |
| Offered Semester: |
Fall and Spring Semesters. |
Course Content
Functions. Limits and Continuity. Tangent lines and derivatives. Chain rule. Implicit differentiation. Inverse functions. Related rates. Linear approximations. Extreme values. Mean Value Theorem and its applications. Sketching graphs. Indeterminate forms and L Hospital s rules. Definite integral. Fundamental Theorem of Calculus. Substitution. Areas between curves. Formal definition of natural logarithm function. Techniques of integration. Improper integrals. Arc length. Volumes and surface areas of solids of revolution. Parametric plane curves. Polar coordinates. Arc length in polar coordinates.
