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# Basics of Technical Mathematics

Structure Type: Study unit TT00BI61 SAT 2023 Bachelor of Engineering 1 (2023-2024) Autumn 5 cr Mäkelä, Jarmo Finnish

## Courses During the Academic Year 2023-2024

Impl.Group(s)Study TimeTeacher(s)LanguageEnrolment
3005SAT2023-1, SAT2023-1A, SAT2023-1B, SAT2023-1C, SAT2023-1D, SAT2023-1E2023-08-28 – 2023-12-16Elena KuismaFinnish2023-08-01 – 2023-09-06
3006TT2023-1, TT2023-1A, TT2023-1B, TT2023-1C, TT2023-1D2023-08-28 – 2023-12-16Jarmo MäkeläFinnish2023-08-01 – 2023-09-06

## Learning Outcomes

The aim of the course is to provide to the student the necessary basic knowledge in mathematics. The course begins with the very basics. At the end of the course the students has learnt the basics of algebra, geometry, trigonometry and linear algebra.

The total work load of the student in the course will be around 130 work hours.

## Prerequisites / Recommended Optional Courses

No prerequisites are needed in this course.

## Contents

1) Natural numbers and their basic arithmetic operations. 2) Addition, subtraction, multiplication and division by means of pen and paper. 3) Fractions and their operations. 4) Powers and roots. 5) Functions. 6) Polynomial and rational functions. 7) Linear and quadratic equations. 8) Equations of higher degree. 9) Systems of Equations, 10) Exponential and logarithmic functions. 11) Basic geometry and trigonometry. 12) Analytic geometry: Line, cicle, parabola, ellipse, hyperbola. 13) Vectors and their operations 14) Trigonometric functions and equations. 15) Complex numbers and their polar forms. 16) Determinants and matrices. 17) Solution of linear systems of equations by means of determinants and matrices.

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

Basically, the learning material consists of the material given by the lecturer during the course. Useful supplementary material is provided by the books written by A. Majaniemi: Algebra I, II, Geometria. Any student my download these books from Internet for free.

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

The basic mode of delivery of 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

Ther will be two exams in the course. The grade of the course is determined by the total number of points obtained form these exams. To pass the course the student must also solve a certain number of exercise problems.