MATH120 CALCULUS OF FUNCTIONS OF SEVERAL VARIABLES
| Course Code: |
2360120 |
| 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: |
Assist.Prof.Dr DÝLBER KOÇAK BENLÝ |
| Offered Semester: |
Spring Semesters. |
| Prerequisite: |
Set 1: 2360119
Set 2: 3570119
Set 3: 2360151
Set 4: 2360117 |
| One of the sets above should be completed before taking
MATH120 CALCULUS OF FUNCTIONS OF SEVERAL VARIABLES . |
Course Content
Sequences and infinite series. Power series. Taylor series. Vectors and analytic geometry in 3-space. Functions of several variables: limits, continuity, partial derivatives. Chain rule. Directional derivatives. Tangent planes and linear approximations. Extreme values. Lagrange multipliers. Double integrals. Double integrals in polar coordinates. General change of variables in double integrals. Surface parametrization and surface area in double integrals. Triple integrals in Cartesian, cylindrical and spherical coordinates. Parametrization of space curves. Line integrals. Path independence. Green s theorem in the plane.
