# Introduction to Technical Mathematics

Rakennetyyppi: | Opintojakso |
---|---|

Koodi: | ET00BN19 |

OPS: | ETE 2023 |

Taso: | Insinööri (AMK) |

Opiskeluvuosi: | 1 (2023) |

Lukukausi: | Kevät |

Laajuus: | 5 op |

Vastuuopettaja: | Pyhälahti, Onni |

Opetuskieli: | Englanti |

## Toteutukset vuonna 2023

Tot. | Ryhmä(t) | Opiskeluaika | Opettaja(t) | Kieli | Ilmoittautuminen |
---|---|---|---|---|---|

3001 | ETE2023-1, ETE2023-1A, ETE2023-1B, ETE2023-1C, ETE2023-1D | 9.1.2023 – 30.4.2023 | Jubeen Sharbaf, Elena Kuisma | Englanti | 1.12.2022 – 16.1.2023 |

## Osaamistavoitteet

Mathematics is the basis of all engineering studies. Without mathematics it is impossible to understand technical literature, and to perform everyday professional tasks in engineering. To understand mathematics a student must, first of all, understand thoroughly certain fundamental basics of mathematics. Because of that this course will begin from the very basics: the properties of numbers, basic arithmetic and rules of calculation. Little by little we proceed to symbolic calculations, learn to simplify algebraic expressions, and to solve equations as well as simultaneous systems of equations. In addition, a student is made familiar with the concept of function, which plays the central role in mathematics. In practical application function means, roughly speaking, a rule which tells in which way a given number is transformed to another number. The student will be made familiar with most of those functions which may be found in an ordinary pocket calculator. Geometry is an important part of the course. Practical problems in engineering may often be reduced to geometrical problems, and therefore the student will learn to solve efficiently simple geometrical problems.

## Opiskelijan työmäärä

The total amount of student's work is 135h, which contains 50 h of contact studies and 85 h of student's own work outside classroom.

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

## Edeltävät opinnot / Suositellut valinnaiset opinnot

Secondary education mathematics.

## Sisältö

Basic rules of calculations, simplification, first and second order equations, systems of equations, trigonometry, graphical expression, proportion, percentage, functions (polynomials, ratios, power-, exponential and logarithmic functions, trigonometric functions). Graphical and numerical solutions of equations, plane geometry, space geometry, limit of a function, right angles and trigonometry, vectors. Engineering applications.

## Opetusmuoto / Opetusmenetelmät

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 exercises together with others and independently at home.

## Arviointikriteerit

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

## Arviointimenetelmät

Examination (or two smaller exams) and homework exercises. The number of completed exercises affects the grade.