Academic Catalog

MATH119 CALCULUS WITH ANALYTIC GEOMETRY

Course Code: 2360119
METU Credit (Theoretical-Laboratory hours/week): 5(4-2)
ECTS Credit: 7,5
Department: Mathematics
Language of Instruction: English
Level of Study: Undergraduate
Course Coordinator: Assoc.Prof.Dr. CANAN BOZKAYA
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.