Mat3 Derivaatta ja integraali (3 cr)
Code: TZLM3300-3050
General information
Enrollment
01.11.2022 - 05.01.2023
Timing
09.01.2023 - 30.04.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
Teknologiayksikkö
Campus
Pääkampus
Teaching languages
- Finnish
Seats
0 - 55
Degree programmes
- Rakennus- ja yhdyskuntatekniikka (AMK)
Teachers
- Anne Rantakaulio
Teacher in charge
Anne Rantakaulio
Scheduling groups
- TRY22SA (Paikkoja: 35. Open UAS: 0.)
- TRY22SB (Paikkoja: 35. Open UAS: 0.)
Groups
-
ZJATRY22S1Avoin amk, Rakennus- ja yhdyskuntatekniikka, Päivä
-
TRY22S1Rakennus- ja yhdyskuntatekniikka (AMK)
Small groups
- TRY22SA
- TRY22SB
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
Course is implemented between 20.2. - 28.4.2023.
Oppimateriaali ja suositeltava kirjallisuus
Videos in the learning environment, text files, automatic tests, booklet tasks.
Teaching methods
Lectures face-to-face, guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam schedules
Läpäisy- ja arvosanakoe viikolla 17, uusintakoe 1 viikolla 19 ja uusintakoe 2 viikolla 21.
Vaihtoehtoiset suoritustavat
Web-based course in Summer 2023
Student workload
Lectures, guided exercises and exam 40 h
Independent work and automatic tests 40 h
Further information
Jatkuva palaute: automaattitestit ja palautettavat tehtävät
Läpäisykoe
Arvosanakoe
Bonustehtävä
Avoin AMK 5
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.