Basics of Technical Mathematics
| Structure Type: | Study unit |
|---|---|
| Code: | ISTP0103 |
| Type: | Compulsory / Basic Studies |
| Curriculum: | ST 2015 |
| Level: | Bachelor of Engineering |
| Year of Study: | 1 (2015-2016) |
| Credits: | 2 cr |
| Responsible Teacher: | Niemi, Henry |
| Language of Instruction: | Finnish |
Courses During the Academic Year 2015-2016
| Impl. | Group(s) | Study Time | Teacher(s) | Language | Enrolment |
|---|---|---|---|---|---|
| 9 | I-ST-1N | 2015-09-01 – 2015-12-31 | Jussi Ojanen | Finnish | 2015-08-14 – 2015-09-20 |
Learning Outcomes
Mathematics is the foundation for 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. Therefore, this course begins 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. The student will be made familiar with most of those functions which may be found in an ordinary calculator. Geometry is also dealt with the student will learn to solve efficiently simple geometrical problems.
Student's Workload
The total amount of student's work is 54 h, which contains 32 h 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, fractional, power functions, trigonometric functions). Graphical and numerical solutions of equations, plane geometry. Applications in electrical engineering.
Recommended or Required Reading and Other Learning Resources/Tools
Majaniemi: "Algebra I ja II" and "Geometria", Tietokotka Oy; Seppo Mäkinen: VirtuaaliAnkka.exe, VAMK; teacher's own material.
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
Exams, home assignments and tutored exercise sessions. The student is required to actively take part in exercise sessions, in the same way as in Physics laboratory exercises.