# MATH120 CALCULUS OF FUNCTIONS OF SEVERAL VARIABLES

Course Code: | 2360120 |

METU Credit (Theoretical-Laboratory hours/week): | 5(4-2) |

ECTS Credit: | 7,5 |

Language of Instruction: | English |

Level of Study: | Undergraduate |

Course Coordinator: | Lecturer Dr. MUHİDDİN UĞUZ |

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 Objective

The sequence Math 119-120 is the Standard complete introduction to the concepts and methods of calculus. It is taken by all engineering students. The emphasis is on concepts, solving problems, theory and proofs. All sections are given a uniform midterm and a final exam. Students will develop their reading, writing and questioning skills in Mathematics.### 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.### Learning Outcomes

No data is found for the learning outcomes.