Introduction to Technical Mathematics
| Structure Type: | Study unit |
|---|---|
| Code: | IYTP0203 |
| Type: | Compulsory / Basic Studies |
| Curriculum: | EY 2015 |
| Level: | Bachelor of Engineering |
| Year of Study: | 1 (2015-2016) |
| Credits: | 4 cr |
| Responsible Teacher: | Mäkelä, Jarmo |
| Language of Instruction: | Finnish |
Courses During the Academic Year 2015-2016
| Impl. | Group(s) | Study Time | Teacher(s) | Language | Enrolment |
|---|---|---|---|---|---|
| 7 | I-EY-1N | 2015-09-01 – 2015-12-31 | Jarmo Mäkelä | Finnish | 2015-08-14 – 2015-09-20 |
Learning Outcomes
The student learns the basics of arithmetic, algebra and geometry. She can add, subtract, multiply, and divide integers, fractions and reals. She knows the concepts of power and root of a real number, and she can apply their rules of calculation. She understands what is meant by the concepts of function and the graph of a function, and she knows the elementary functions, like polynomial, exponential, and logarithmic functions. The student knows the basics of symbolic calculations performed with real numbers, and she can solve simple equations and systems of equations. In plane geometry the student knows the basic properties of rectangles, triangles, circles and parallelograms. She learns the basics of trigonometry, and she can calculate the angles and the edge lengths of a given triangle. In space geometry the student is made familiar with the concepts of sphere, cone and cylinder. In analytic geometry the student knows the equations of line, parabola and circle, and she can apply them.
Student's Workload
The total amount of student's work is 108 h, which contains 56 h of contact studies.
Prerequisites / Recommended Optional Courses
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Contents
Natural numbers and their basic arithmetic operations (addition, subtraction, multiplication and division). Basic arithmetic operations of fractions, decimal numbers and negative numbers. Real numbers, their powers, roots and rules of calculation. Functions and their graphs. Polynomials, exponentials and logarithms. Linear and quadratic equations, systems of equations. Planar geometry: Rectangles, triangles, circles and parallelograms. The theorem of Pythagoras. Basic trigonometry, the sine rule and the cosine rule. Space geometry: Sphere, cone and cylinder. Analytic geometry: Line, parabola and circle.
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. At least 25 % of the given homework exercises must be solved in order to passt the course.