# Basics of Technical Mathematics

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

Code: | IT00BL13 |

Curriculum: | IT 2023 |

Level: | Bachelor of Engineering |

Year of Study: | 1 (2023-2024) |

Semester: | Autumn |

Credits: | 5 cr |

Responsible Teacher: | Mäkelä, Jarmo |

Language of Instruction: | English |

## Courses During the Academic Year 2023-2024

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

3002 | IT2023-1, IT2023-1A, IT2023-1B | 2023-08-28 – 2023-12-16 | Jarmo Mäkelä | Finnish | 2023-08-01 – 2023-09-06 |

## Learning Outcomes

At the end of the course the student knows the basic algebra and geometry, together with the basic functions. The student also possesses good knowledge on linear algebra.

## Student's Workload

The total workload of the student is approximately 130 hours.

## Prerequisites / Recommended Optional Courses

There are now prerequisities for the course.

## Contents

1) Real numbers and their properties. 2) Powers and roots. 3) Rules of powering. 4) The concept of function. 5) Polynomial and rational functions. 6) Linear and quadratic equations. 7) Equations of higher degree. 8) Inequalities. 9) Systems of equations. 10) Exponential and logarithmic functions. 11) Basic geometry and trigonometry. 12) Vectors. 13) Advanced trigonometry and the concept of radian. 14) Trigonometric equations and identities. 15) Analytic geometry: Line, circle, parabola, ellipse and hyperbola. 16) Complex numbers. 17) Complex numbers expressed in a polar form: Euler's formula. 18) Determinants. 19) Matrices. 20) Solution of linear systems of equations by means of determinants and matrices. 21) Linear maps. 22) Matrix representation of linear maps in the given basis. 23) Eigenvalues and eigenvectors of linear maps. 24) The study of the second-order curves by means of matrices.

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

G. James: Engineering Mathematics (Addison-Wesley) (recommended reading)

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

The course consists of lectures and exercise classes.

## Assessment Criteria

The possible grades obtainable from the course are 1, 2, 3, 4, 5.

1: The student knows the basic concepts of the course

2: The student knows about one-half of the topics taught on the course, and is able to solve simple problems

3: The student is able to solve pretty challenging problems and knows the concepts of the course

4: The student knows more or less the topics learned in the course

5: The sudent knows everything taught in the course.

## Assessment Methods

There will be two exams in the course. The grade of the course is determined by the total number of points obtained from the exams. In addition, the student is requested to solve a given number of exercise problems.