Introduction to Technical Mathematics
| Structure Type: | Study unit |
|---|---|
| Code: | IRTP0401 |
| Type: | Compulsory / Basic Studies |
| Curriculum: | EY 2015V |
| Level: | Bachelor of Engineering |
| Year of Study: | 1 (2015-2016) |
| Credits: | 4 cr |
| Responsible Teacher: | Elomaa, Virpi |
| Language of Instruction: | Finnish |
Courses During the Academic Year 2015-2016
| Impl. | Group(s) | Study Time | Teacher(s) | Language | Enrolment |
|---|---|---|---|---|---|
| 9 | I-RT-1N | 2015-09-01 – 2015-12-31 | Jarmo Mäkelä, Onni Pyhälahti | Finnish | 2015-08-14 – 2015-09-20 |
| 10 | I-EY-1V, I-RT-1V | 2015-09-01 – 2015-12-31 | Jussi Ojanen | Finnish | 2015-08-14 – 2015-09-13 |
Still need to take the course? See the courses during the academic year 2018-2019.
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 56 h of contact studies. The assessment of student’s own learning 1 h is included in contact lessons.
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, classical space geometry. Engineering applications.
Recommended or Required Reading and Other Learning Resources/Tools
Majaniemi: "Algebra I ja II" and "Geometria", Tietokotka Oy; 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.