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Introduction to Technical Mathematics

Structure Type: Study unit
Code: IRTP0401
Type: Compulsory / Basic Studies
Curriculum: KT 2019V
Level: Bachelor of Engineering
Year of Study: 1 (2019-2020)
Semester: Autumn
Credits: 4 cr
Responsible Teacher: Rintala, Sanna
Language of Instruction: Finnish

Courses During the Academic Year 2019-2020

Impl.Group(s)Study TimeTeacher(s)LanguageEnrolment
14I-KT-1V2019-09-02 – 2019-12-20Jussi OjanenFinnish2019-08-19 – 2019-09-09

Learning Outcomes

after the course the student knows the basic concepts of mathematics and is able to apply tcalculation rules when solving problems in professional studies. S/He is able to solve equations and systems of equation, also approximately, and calculate the areas and volumes of bodies. In addition, s/he will receive a good basis for mathematical modelling of more complex phenomena.

Student's Workload

The total amount of student's work is 108 h, which contains 48 h of contact studies. The assessment of student’s own learning 1 h.

Prerequisites / Recommended Optional Courses

Secondary education mathematics.


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, classical space geometry. Engineering applications.

Recommended or Required Reading and Other Learning Resources/Tools

S. Alestalo, P. Lehtola, T. Nieminen, A. Rantakaulio: Tekninen matematiikka 1, Tammertekniikka.

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. The student is required to actively take part in exercise sessions, in the same way as in Physics laboratory exercises.