# Differential Calculus

Structure Type: | Study unit |
---|---|

Code: | IRTP0204 |

Type: | Compulsory / Basic Studies |

Curriculum: | KT 2019V |

Level: | Bachelor of Engineering |

Year of Study: | 1 (2019-2020) |

Semester: | Spring |

Credits: | 2 cr |

Responsible Teacher: | Rintala, Sanna |

Language of Instruction: | Finnish |

## Courses During the Academic Year 2019-2020

Impl. | Group(s) | Study Time | Teacher(s) | Language | Enrolment |
---|---|---|---|---|---|

14 | I-KT-1V | 2020-03-02 – 2020-05-16 | Jussi Ojanen | Finnish | 2019-12-16 – 2020-01-14 |

## Learning Outcomes

After the study unit the student knows the following concepts and can apply them : limit of a function, continuity, derivatives of 1st or higher order. The student can derivate the most common elementary functions, knows the significance of the derivative as a slope of a tangent line and as an expresser of conversion rate of a quantity, knows the differential of a function and its use in error assessment , knows the product and quotient of the derivative and composite function, knows the concept of extremum and can apply it and can solve an equation numerically using Newton's method.

## Student's Workload

The total amount of student's work is 54h , which contains 20 h of contact studies.

The assessment of student’s own learning 1 h is included in contact lessons.

## Prerequisites / Recommended Optional Courses

Analytic Geometry and Linear Algebra

## Contents

Limit and derivative, derivation of basic functions, composite function, study of functions. Partial derivative, total differential, extremums. Application related to construction engineering.

## Recommended or Required Reading and Other Learning Resources/Tools

P. Lehtola, A. Rantakaulio: Tekninen matematiikka 2, Tammertekniikka

The material prepared by the teacher.

## Mode of Delivery / Planned Learning Activities and Teaching Methods

The basics of learning constitutes of lectures where the theory is explained and examples are given. A mere attending the lectures and listening to the lecturer is not sufficient for proper learning. In practice, an independent pondering of the contents of the course becomes best realized when a student solves independently, at home, the problems given by the lecturer. Solutions to the problems are given during the lectures. At the end of the course, students may be given exercises which are to be solved with a computer.

## Assessment Criteria

Grade 1: The student knows those subjects of the course, which are necessary for the forthcoming studies and working life.

Grade 3: The student is well-abled to utilize the course contents.

Grade 5: The student is able to apply creatively the contents of the course.

## Assessment Methods

An examination, homework exercises and tutored exercise sessions. The student is required to actively take part in exercise sessions, in the same way as in Physics laboratory exercises. All the given computer-related exercises must be handed in by the end of the course.