Functions and Matrices (3 cr)

Objectives (course unit)

Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations involving basic functions and apply them in practical problems
- recognize graphs of basic functions
- perform basic calculations with matrices and apply them in practical problems

Content (course unit)

Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.

Prerequisites (course unit)

Orientation for engineering mathematics or similar skills.

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to solve equations involving basic functions and knows how to perform calculations with matrices. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.

Location and time

Lukujärjestyksen mukaiseksi.

Exam schedules

Opiskelija voi valita toteutuksen päätteeksi, tekeekö hän kokeen, jolla osoitetaan osaaminen arvosanalla 1 vai kokeen, jolla osoitetaan osaaminen arvosanoille 1 – 5.

Koe on maanantaina 28.4 klo 17-18:30 luokassa B2-37.

Assessment scale

0-5

Teaching methods

Toteutuksella on intensiivistä lähiopetusta aikataulun mukaan kolmena (3) iltana, jonka jälkeen pidetään koe. Läsnäolovelvoite on 100 %.  

Lähiopetus verkkomateriaalilla tuettuna tähtää tasoltaan arvosanaan 1. Lähiopetuksessa keskitytään opintojakson keskeisten tehtävien ratkaisemiseen. Arvosanaa 1 korkeampaan arvosanaan tähtäävä osaaminen edellyttää laajempaa aktiivista itsenäistä opiskelua.

Learning materials

Moodle alueen materiaalit

Student workload

Lähiopetusta 3x3 oppituntia sekä koe 2x oppituntia.

Content scheduling

Katso Moodlealue.

Completion alternatives

Ei ole.

Practical training and working life cooperation

Ei ole.