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# Introduction to Technical Mathematics

Structure Type: Study unit IKTP0103 Compulsory / Basic Studies KT 2014 Bachelor of Engineering 1 (2014-2015) 5 cr Elomaa, Virpi Finnish

## Courses During the Academic Year 2014-2015

Impl.Group(s)Study TimeTeacher(s)LanguageEnrolment
8I-KT-1N2014-09-01 – 2014-12-20Jarmo MäkeläFinnish2014-08-15 – 2014-09-21

## Learning Outcomes

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.

The total amount of student's work is 135h, which contains 70h of contact studies.

## Prerequisites / Recommended Optional Courses

Secondary education mathematics

## Contents

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. Engineering applications.

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

Seppo Mäkinen: VirtuaaliAnkka.exe, VAMK; 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. An essential ingredient of learning, however, consists of exercises which are gone through during the lectures, and independent homework performed by the student. 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

## 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

Two examinations, homework exercises and tutored exercise sessions.