# MATH119 CALCULUS WITH ANALYTIC GEOMETRY

Course Code: | 2360119 |

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: | Fall and Spring Semesters. |

### 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

Functions. Limits and Continuity. Tangent lines and derivatives. Chain rule. Implicit differentiation. Inverse functions. Related rates. Linear approximations. Extreme values. Mean Value Theorem and its applications. Sketching graphs. Indeterminate forms and L Hospital s rules. Definite integral. Fundamental Theorem of Calculus. Substitution. Areas between curves. Formal definition of natural logarithm function. Techniques of integration. Improper integrals. Arc length. Volumes and surface areas of solids of revolution. Parametric plane curves. Polar coordinates. Arc length in polar coordinates.### Learning Outcomes

No data is found for the learning outcomes.