Matemaattisten aineiden perustaidot (5op)

Arviointiasteikko

H-5

Sisällön jaksotus

PART 1:
1 Basic arithmetic operations
2 Fractions
3 Powers
4 Roots
5 Polynomials, simplifying rational expressions
6 Polynomial equations of 1. and 2. degree
7 Simultaneous linear equations

PART 2:
8 Variable and function, graphs of functions
9 Lines and parabolas
10 Basics of geometry
11 Basics of trigonometry
12 Percentages
13 Quantity and unit
14 Basics of physics

Tavoitteet

Opiskelija saavuttaa ammattikorkeakoulun matemaattis-luonnontieteellisissä opinnoissa tarvittavat lähtötiedot ja -taidot.

Sisältö

• Lukujen esitystavat ja lukujoukot
• Peruslaskutoimitukset ja laskujärjestys
• Murtoluvuilla laskeminen ja murtolausekkeiden käsittely
• Potenssien ja juurten laskusäännöt
• Murtopotenssit ja negatiiviset potenssit
• Polynomien laskusäännöt
• Rationaalilausekkeiden sieventäminen
• Prosenttilaskenta
• Ensimmäisen ja toisen asteen polynomiyhtälöt
• Lineaarinen yhtälöpari
• Suora ja paraabeli
• Funktion ja muuttujan peruskäsitteet
• Funktion kuvaajan piirtäminen ja tulkinta
• Geometrian ja trigonometrian perusasioita
• Suureet ja SI-järjestelmä
• Yksiköiden käsittely laskuissa ja yksikkömuunnokset
• Koulutuskohtaisia sisältöjä

Oppimateriaalit

Course material shared by the teacher through Itslearning.
Function calculator (Casio fx-82CX or similar).

Opetusmenetelmät

Lectures, self-study, homework, homework sessions, exams

Tenttien ajankohdat ja uusintamahdollisuudet

Exam Part 1 – Week 11
Exam Part 2 – Week 18
The exact times and retake exams are in the schedule

Pedagogiset toimintatavat ja kestävä kehitys

Lectures cover theoretical concepts and examples, while homework sessions focus on students working independently on assignments—with the teacher available to provide support when needed

Toteutuksen valinnaiset suoritustavat

-

Opiskelijan ajankäyttö ja kuormitus

5 ECTS credits = 135 hours of student work, consisting of:
- Lectures: 14 × 2h
- Homework sessions: 14 × 2h
- Exams: 4h
- Self-study (homework, exercises, exam preparation, etc.): ~75h

Arviointimenetelmät ja arvioinnin perusteet

To pass the course, you must
- submit at least 40 % of the exercises
- score at least 40 % on both midterm exams

Using AI tools to support learning is permitted.
Use of AI during exams is not allowed.

Hylätty (0)

The student has not demonstrated achievement of the course objectives.

A failing grade will be given if:
- less than 40% of the exercises have been submitted
- the student scores less than 40% on one or both midterm exams

The course will also be failed if any form of academic misconduct is detected.

Arviointikriteerit, tyydyttävä (1-2)

The student has demonstrated that they have satisfactorily achieved the objectives of the course. The student recognizes and can somewhat utilize the concepts related to the course's subject matter.

Arviointikriteerit, hyvä (3-4)

The student has demonstrated that they have achieved the objectives of the course well, although there is still room for improvement in certain areas of knowledge and skills. The student can effectively use the concepts related to the course's subject matter and apply what they have learned in both academic and professional situations.

Arviointikriteerit, kiitettävä (5)

The student has demonstrated that they have excellently achieved the objectives of the course. The student has a strong command of the concepts related to the course's subject matter and can analyze related issues fluently and with well-founded reasoning. The student is well-equipped to apply what they have learned in both academic and professional situations.

Lisätiedot

Itslearning and email