Academic Catalog

MATH114 CALCULUS II

Course Code: 2360114
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. MEHMET FIRAT ARIKAN
Offered Semester: Fall and Spring Semesters.
Prerequisite: Set 1: 2360113
Set 2: 2360117
Set 3: 2360119
One of the sets above should be completed before taking MATH114 CALCULUS II.

Course Content

Substitution. Areas between curves. Integration Techniques, Improper integrals. Arc length. Volumes and surface areas of solids of revolution. Parametric plane curves. Polar coordinates. Arc length in polar coordinates. Sequences and infinite series. Power series. Taylor series. Functions of several variables: limits, continuity, partial derivatives. Chain rule. Directional derivatives. Tangent planes and linear approximations. Extreme values. Lagrange multipliers.