Academic Catalog

MATH251 ADVANCED CALCULUS I

Course Code: 2360251
METU Credit (Theoretical-Laboratory hours/week): 4(4-0)
ECTS Credit: 10.0
Department: Mathematics
Language of Instruction: English
Level of Study: Undergraduate
Course Coordinator: Assoc.Prof.Dr. SEMRA PAMUK
Offered Semester: Fall Semesters.
Prerequisite: Set 1: 2360152
Set 2: 2360154
Set 3: 2360158
Set 4: 2360156
Set 5: 2360120
Set 6: 2360118
One of the sets above should be completed before taking MATH251 ADVANCED CALCULUS I.

Course Content

Topology of R, R2 and R 3 . Functions of several variables; limits and continuity. Partial derivatives, directional derivatives, gradients. Differentials and the tangent plane: the Fundamental Lemma, approximations. The Mean Value, implicit and Inverse function theorems. Extreme values. Introduction to vector differential calculus: the gradient, divergence and curl. Curvilinear coordinates.