CalculusLaajuus (5 cr)
Code: IT00CO78
Credits
5 op
Teaching language
- English
Objective
You know the basic concepts of calculus. You are able to differentiate and integrate different kinds of functions using various methods. You can apply differentiation and integration in engineering.
Content
How are real numbers defined and equations and inequalities solved?
How are plane curves determined, and which are the basic elementary (real) functions and their properties?
What does the convergence of (real) sequences and series mean and how are they applied in engineering?
How are derivative, integral function and definite integral defined and which kind of differentiation and integration methods are there?
How are functions of multiple variables differentiated?
How are differentiation and integration applied in engineering?
Qualifications
Basic knowledge of number systems, logic, sets and Boolean algebras are required.
Enrollment
04.11.2024 - 17.11.2024
Timing
13.01.2025 - 02.05.2025
Number of ECTS credits allocated
5 op
Mode of delivery
Contact teaching
Unit
Department of Information Technology
Campus
Mikkeli Campus
Teaching languages
- Finnish
Seats
20 - 40
Degree programmes
- Degree programme in software engineering
Teachers
- Reijo Vuohelainen
Groups
-
OTMI24SPSoftware Engineering, full-time studies
Objective
You know the basic concepts of calculus. You are able to differentiate and integrate different kinds of functions using various methods. You can apply differentiation and integration in engineering.
Content
How are real numbers defined and equations and inequalities solved?
How are plane curves determined, and which are the basic elementary (real) functions and their properties?
What does the convergence of (real) sequences and series mean and how are they applied in engineering?
How are derivative, integral function and definite integral defined and which kind of differentiation and integration methods are there?
How are functions of multiple variables differentiated?
How are differentiation and integration applied in engineering?
Opiskelumateriaali
Calculus 5th ed, Frank Ayres,Jr. and Elliot Mendelson, Shaum's outlines. McGrawHill
Calculus: A Complete Course, 10th Edition, Robert A. Adams, Addison-Wesley 1999 - 2021
Tekniikan matematiikka 2, Henttonen, Juhani, Peltomäki, Jaana ja Uusitalo, Seppo, Edita Oppiminen Oy, 2006 (e-kirja)
Yksilölliset oppimisväylät
Scheduled track:
You participate in lectures and exercises according to the weekly schedule.
Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.
TKI ja työelämäyhteistyö
Tällä toteutuksella ei ole suunniteltua työelämäyhteyttä.
Tentit ja muut määräajat
Sovitaan opintojakson alussa, joko kaksi välikoetta tai loppukoe. Viikottaiset kotitehtävät.
Kansainvälinen yhteistyö
Tällä toteutuksella ei ole yhteistyökumppania sovittu.
Opiskelijan työmäärä
135 h
Evaluation scale
1-5
Assessment methods and criteria
Opintojakso suoritetaan tenttimällä. Laskuharjoitukset ja tuntiosallistuminen tuottaa lisäpisteitä opintojakson loppukokeeseen.
Qualifications
Basic knowledge of number systems, logic, sets and Boolean algebras are required.
Enrollment
04.11.2024 - 17.11.2024
Timing
13.01.2025 - 02.05.2025
Number of ECTS credits allocated
5 op
Mode of delivery
Contact teaching
Unit
Department of Information Technology
Campus
Mikkeli Campus
Teaching languages
- English
Seats
20 - 40
Degree programmes
- Degree Programme in Information Technology
Teachers
- Reijo Vuohelainen
Teacher in charge
Jari Kortelainen
Groups
-
ITMI24SPInformation technology, full-time studies
Objective
You know the basic concepts of calculus. You are able to differentiate and integrate different kinds of functions using various methods. You can apply differentiation and integration in engineering.
Content
How are real numbers defined and equations and inequalities solved?
How are plane curves determined, and which are the basic elementary (real) functions and their properties?
What does the convergence of (real) sequences and series mean and how are they applied in engineering?
How are derivative, integral function and definite integral defined and which kind of differentiation and integration methods are there?
How are functions of multiple variables differentiated?
How are differentiation and integration applied in engineering?
Opiskelumateriaali
Calculus 5th ed, Frank Ayres,Jr. and Elliot Mendelson, Shaum's outlines. McGrawHill
Calculus: A Complete Course, 10th Edition, Robert A. Adams, Addison-Wesley 1999 - 2021
Tekniikan matematiikka 2, Henttonen, Juhani, Peltomäki, Jaana ja Uusitalo, Seppo, Edita Oppiminen Oy, 2006 (e-kirja)
Yksilölliset oppimisväylät
This course is traditional contact teaching in a classroom by weekly schedule. The course lecture hours contain new theory and examples. Some practicing during lessons. Homework will deepen students skills on the topic. Participating to teaching gives some extra points for the final exam. The course can be organised to have two midterm exams or just final exam, that will be decided with the group during the start of the course.
You can also show your previous competence e.g. by a certificate. To be settled at the course kick off.
TKI ja työelämäyhteistyö
This course does not have working life contacts.
Tentit ja muut määräajat
One or two exams, which is settled at the course kick off.
Kansainvälinen yhteistyö
There is no planned co-operation on this course.
Opiskelijan työmäärä
The five credit point course takes as counted 135 h, that can vary a lot depending of the previous math skills.
Evaluation scale
1-5
Assessment methods and criteria
Evaluation is based on the final exam. Extra points from activity as described on Learn.
Qualifications
Basic knowledge of number systems, logic, sets and Boolean algebras are required.
Enrollment
06.11.2023 - 17.11.2023
Timing
08.01.2024 - 26.04.2024
Number of ECTS credits allocated
5 op
Mode of delivery
Contact teaching
Unit
Department of Information Technology
Campus
Mikkeli Campus
Teaching languages
- English
Seats
1 - 40
Degree programmes
- Degree Programme in Information Technology
Teachers
- Jari Kortelainen
Teacher in charge
Jari Kortelainen
Groups
-
ITMI23SPInformation technology, full-time studies
Objective
You know the basic concepts of calculus. You are able to differentiate and integrate different kinds of functions using various methods. You can apply differentiation and integration in engineering.
Content
How are real numbers defined and equations and inequalities solved?
How are plane curves determined, and which are the basic elementary (real) functions and their properties?
What does the convergence of (real) sequences and series mean and how are they applied in engineering?
How are derivative, integral function and definite integral defined and which kind of differentiation and integration methods are there?
How are functions of multiple variables differentiated?
How are differentiation and integration applied in engineering?
Opiskelumateriaali
To be settled at the course kick off.
Yksilölliset oppimisväylät
Scheduled track:
You participate in lectures and exercises according to the weekly schedule.
Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.
TKI ja työelämäyhteistyö
To be settled at the course kick off.
Tentit ja muut määräajat
To be settled at the course kick off.
Opiskelijan työmäärä
135 h
Evaluation scale
1-5
Assessment methods and criteria
To be settled at the course kick off.
Qualifications
Basic knowledge of number systems, logic, sets and Boolean algebras are required.
Enrollment
06.11.2023 - 17.11.2023
Timing
01.01.2024 - 31.05.2024
Number of ECTS credits allocated
5 op
Mode of delivery
Contact teaching
Unit
Department of Information Technology
Campus
Mikkeli Campus
Teaching languages
- Finnish
Seats
1 - 40
Degree programmes
- Ohjelmistotekniikan koulutus
Teachers
- Jari Kortelainen
Teacher in charge
Jari Kortelainen
Groups
-
OTMI23SPSoftware Engineering, full-time studies
Objective
You know the basic concepts of calculus. You are able to differentiate and integrate different kinds of functions using various methods. You can apply differentiation and integration in engineering.
Content
How are real numbers defined and equations and inequalities solved?
How are plane curves determined, and which are the basic elementary (real) functions and their properties?
What does the convergence of (real) sequences and series mean and how are they applied in engineering?
How are derivative, integral function and definite integral defined and which kind of differentiation and integration methods are there?
How are functions of multiple variables differentiated?
How are differentiation and integration applied in engineering?
Opiskelumateriaali
To be settled at the course kick off.
Yksilölliset oppimisväylät
Scheduled track:
You participate in lectures and exercises according to the weekly schedule.
Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.
TKI ja työelämäyhteistyö
To be settled later on.
Tentit ja muut määräajat
To be settled later on.
Opiskelijan työmäärä
135 h
Evaluation scale
1-5
Assessment methods and criteria
To be settled at the course kick off.
Qualifications
Basic knowledge of number systems, logic, sets and Boolean algebras are required.
Enrollment
07.11.2022 - 18.11.2022
Timing
09.01.2023 - 28.04.2023
Number of ECTS credits allocated
5 op
Mode of delivery
Contact teaching
Unit
Department of Information Technology
Campus
Mikkeli Campus
Teaching languages
- English
Seats
20 - 40
Degree programmes
- Degree Programme in Information Technology
Teachers
- Jari Kortelainen
Teacher in charge
Jari Kortelainen
Groups
-
ITMI22SPInformation technology, full-time studies
Objective
You know the basic concepts of calculus. You are able to differentiate and integrate different kinds of functions using various methods. You can apply differentiation and integration in engineering.
Content
How are real numbers defined and equations and inequalities solved?
How are plane curves determined, and which are the basic elementary (real) functions and their properties?
What does the convergence of (real) sequences and series mean and how are they applied in engineering?
How are derivative, integral function and definite integral defined and which kind of differentiation and integration methods are there?
How are functions of multiple variables differentiated?
How are differentiation and integration applied in engineering?
Opiskelumateriaali
To be settled at the course kick off.
Yksilölliset oppimisväylät
Scheduled track:
You participate in lectures and exercises according to the weekly schedule.
Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.
TKI ja työelämäyhteistyö
To be settled at the course kick off.
Tentit ja muut määräajat
To be settled at the course kick off.
Opiskelijan työmäärä
135 h
Evaluation scale
1-5
Assessment methods and criteria
To be settled at the course kick off.
Qualifications
Basic knowledge of number systems, logic, sets and Boolean algebras are required.
Enrollment
07.11.2022 - 18.11.2022
Timing
09.01.2023 - 28.04.2023
Number of ECTS credits allocated
5 op
Mode of delivery
Contact teaching
Unit
Department of Information Technology
Campus
Mikkeli Campus
Teaching languages
- Finnish
Seats
1 - 40
Degree programmes
- Degree programme in software engineering
Teachers
- Jari Kortelainen
Teacher in charge
Jari Kortelainen
Groups
-
OTMI22SPSoftware Engineering, full-time studies
Objective
You know the basic concepts of calculus. You are able to differentiate and integrate different kinds of functions using various methods. You can apply differentiation and integration in engineering.
Content
How are real numbers defined and equations and inequalities solved?
How are plane curves determined, and which are the basic elementary (real) functions and their properties?
What does the convergence of (real) sequences and series mean and how are they applied in engineering?
How are derivative, integral function and definite integral defined and which kind of differentiation and integration methods are there?
How are functions of multiple variables differentiated?
How are differentiation and integration applied in engineering?
Opiskelumateriaali
To be settled at the course kick off.
Yksilölliset oppimisväylät
Scheduled track:
You participate in lectures and exercises according to the weekly schedule.
Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.
TKI ja työelämäyhteistyö
To be settled later on.
Tentit ja muut määräajat
To be settled later on.
Opiskelijan työmäärä
135 h
Evaluation scale
1-5
Assessment methods and criteria
To be settled at the course kick off.
Qualifications
Basic knowledge of number systems, logic, sets and Boolean algebras are required.
Enrollment
08.11.2021 - 21.11.2021
Timing
10.01.2022 - 29.04.2022
Number of ECTS credits allocated
5 op
Mode of delivery
Contact teaching
Unit
Department of Information Technology
Campus
Mikkeli Campus
Teaching languages
- English
Seats
20 - 40
Degree programmes
- Degree Programme in Information Technology
Teachers
- Jari Kortelainen
Teacher in charge
Jari Kortelainen
Groups
-
ITMI21SPInformation technology, full-time studies
Objective
You know the basic concepts of calculus. You are able to differentiate and integrate different kinds of functions using various methods. You can apply differentiation and integration in engineering.
Content
How are real numbers defined and equations and inequalities solved?
How are plane curves determined, and which are the basic elementary (real) functions and their properties?
What does the convergence of (real) sequences and series mean and how are they applied in engineering?
How are derivative, integral function and definite integral defined and which kind of differentiation and integration methods are there?
How are functions of multiple variables differentiated?
How are differentiation and integration applied in engineering?
Opiskelumateriaali
To be settled at the course kick off.
Yksilölliset oppimisväylät
Scheduled track:
You participate in lectures and exercises according to the weekly schedule.
Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.
TKI ja työelämäyhteistyö
To be settled at the course kick off.
Tentit ja muut määräajat
To be settled at the course kick off.
Opiskelijan työmäärä
135 h
Evaluation scale
1-5
Assessment methods and criteria
To be settled at the course kick off.
Qualifications
Basic knowledge of number systems, logic, sets and Boolean algebras are required.
Enrollment
08.11.2021 - 21.11.2021
Timing
01.01.2022 - 29.04.2022
Number of ECTS credits allocated
5 op
Mode of delivery
Contact teaching
Unit
Department of Information Technology
Campus
Mikkeli Campus
Teaching languages
- Finnish
Seats
20 - 40
Degree programmes
- Degree Programme in Information Technology
Teachers
- Jari Kortelainen
Teacher in charge
Jari Kortelainen
Groups
-
OTMI21SPSoftware Engineering, full-time studies
Objective
You know the basic concepts of calculus. You are able to differentiate and integrate different kinds of functions using various methods. You can apply differentiation and integration in engineering.
Content
How are real numbers defined and equations and inequalities solved?
How are plane curves determined, and which are the basic elementary (real) functions and their properties?
What does the convergence of (real) sequences and series mean and how are they applied in engineering?
How are derivative, integral function and definite integral defined and which kind of differentiation and integration methods are there?
How are functions of multiple variables differentiated?
How are differentiation and integration applied in engineering?
Opiskelumateriaali
To be settled at the course kick off.
Yksilölliset oppimisväylät
Scheduled track:
You participate in lectures and exercises according to the weekly schedule.
Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.
TKI ja työelämäyhteistyö
To be settled later on.
Tentit ja muut määräajat
To be settled later on.
Opiskelijan työmäärä
135 h
Evaluation scale
1-5
Assessment methods and criteria
To be settled at the course kick off.
Qualifications
Basic knowledge of number systems, logic, sets and Boolean algebras are required.