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Mat3 Derivaatta ja integraali (3 cr)

Code: TZLM3300-3052

General information


Enrollment

01.08.2022 - 25.08.2022

Timing

29.08.2022 - 21.12.2022

Number of ECTS credits allocated

3 op

Virtual portion

3 op

Mode of delivery

Online learning

Unit

Teknologiayksikkö

Campus

Pääkampus

Teaching languages

  • Finnish

Seats

0 - 5

Degree programmes

  • Logistiikka (AMK)
  • Rakennus- ja yhdyskuntatekniikka (AMK)

Teachers

  • Ida Arhosalo

Teacher in charge

Ida Arhosalo

Groups

  • LOGRAKVERKKO
    Logistiikan ja rakentamisen verkko-opetus

Objective

The object of the course
During this course you will learn the concepts needed to study continuous change and dynamic phenomena. With differential calculus you can study instantaneous rates of change and the slopes of curves. With integral calculus you can study accumulation of quantities and areas bounded by curves. During this course you learn how to use these concepts in applications.

Course competences

EUR-ACE: Knowledge and understanding 
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.

The learning objectives of the course
After completing this course you know the meaning of derivative and integral as tools for modeling dynamic phenomena. You know how to differentiate and integrate. You know how to use the derivative and integral in applications.

Content

The derivative and its different interpretations. Rules of differentiation. Using differentiation in optimization problems and other applications involving the derivative such as estimation of error. The definite integral. Rules of integration. The applications of the integral. Using technology in calculations.

Location and time

Tälle toteutukselle ilmoittautuminen on elokuussa. Työtilassa on harjoituksia, jotka pitää tehdä ennen loppukokoeeseen ilmoittautumista. Harjoituksissa on vapaa etenemistahti, mutta harjoitukset on oltava tehtynä ennen kuin voi ilmoittautua loppukokeeseen. Voit osallistua viikolla 41 loppukokeeseen Rajakadulla, muut loppukokeet myöhemmin syksyllä valvotaan etäyhteydellä. Lopppukoeajankohdat ilmoitetaan työtilassa. Konsultointitunteja etäyhteydellä saatetaan kurssin aikana järjestää, mutta niille osallistuminen ei ole välttämätöntä.

Oppimateriaali ja suositeltava kirjallisuus

Oppimateriaali löytyy Moodlesta. Tukimateriaalina voi käyttää esimerkiksi Lehtola, Rantakaulio: Tekninen matematiikka 2 -kirjaa.

Teaching methods

Itsenäinen opiskelu Moodlesta löytyvän kirjallisen materiaalin sekä videomateriaalin avulla. Työtilassa on harjoituksia, jotka pitää tehdä ennen loppukokoeeseen ilmoittautumista.

Exam schedules

Loppukokeita järjestetään viikoilla 41-49. Viikon 41 kokeet on Rajakadulla luokassa. Viikoilla 43-49 järjestetään 3 etävalvottua koetta.

Student workload

Itsenäinen työskentely (Teoriamateriaalin opiskelu ja harjoitusten laskeminen) + tentti 81h

Evaluation scale

0-5

Arviointikriteerit, tyydyttävä (1-2)

Sufficient 1
You know the concept of the derivative as the rate of change and as the slope of the tangent. Yo understand how to apply the derivative in optimization problems. You can differentiate and integrate polynomials without technology. You know the concept of the integral as accumulation of quantities and as area under a curve. You know the relation between integral and derivative.

Satisfactory 2
You have achieved the desired goals (look at the criteria of grade 1). You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.

Arviointikriteerit, hyvä (3-4)

Good 3
You have achieved the desired goals(look at the criteria of grade 1). You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly

Very good 4
You have achieved the desired goals (look at the criteria of grade 1). You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.

Assessment criteria, excellent (5)

You have achieved the desired goals (look at the criteria of grade 1). You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.

Qualifications

You know the concept of a limit value. You can work with polynomial, exponential, logarithmic and trigonometric functions.