Academic Catalog

MATH117 CALCULUS I

Course Code: 2360117
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: Prof.Dr. SONGÜL KAYA MERDAN
Offered Semester: Fall Semesters.

Course Content

Functions and their graphs. Limits and continuity. Tangent lines and derivative. Chain rule. Implicit differentiation. Inverse functions. Related rates. Linear approximation. Extreme values. Mean Value Theorem and its applications. Sketching graphs. Indeterminate forms and L Hospital s rules. Exponential growth and decay. Definite integral. Fundamental Theorem Calculus. Substitution and areas between curves. Formal definition of natural logarithm function.