Academic Catalog

MAT120 CALCULUS FOR FUNCTIONS OF SEVERAL VARIABLES

Course Code: 3570120
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: Lecturer ÇAÐRI HACIYUSUFOÐLU
Offered Semester: Spring Semesters.
Prerequisite: Set 1: 3570119
Set 2: 2360119
Set 3: 2360117
One of the sets above should be completed before taking MAT120 CALCULUS FOR FUNCTIONS OF SEVERAL VARIABLES.

Course Content

Complex numbers. Vectors, lines and planes in space, scalar and vector products. Vector valued functions. Space curves.Functions of everal variables: Limit, continuity, partial derivatives, directional derivatives. Tangent plane. Extreme values. Method of Lagrange multipliers. Multiple integrals. Cylindrical and spherical coordinates. Line, surface integrals. Green´s Theorem. Gauss´ and Stokes´ Theorems.