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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

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

Informaatioteknologian koulutusyksikkö

Campus

Mikkeli Campus

Teaching languages
  • Finnish
Seats

1 - 40

Degree programmes
  • Ohjelmistotekniikan koulutus
Teachers
  • Jari Kortelainen
Teacher in charge

Jari Kortelainen

Groups
  • OTMI23SP
    Software 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

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

Informaatioteknologian koulutusyksikkö

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
  • ITMI23SP
    Information 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

Informaatioteknologian koulutusyksikkö

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
  • ITMI22SP
    Information 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

Informaatioteknologian koulutusyksikkö

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
  • OTMI22SP
    Software 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

Informaatioteknologian koulutusyksikkö

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
  • ITMI21SP
    Information 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

Informaatioteknologian koulutusyksikkö

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
  • OTMI21SP
    Software 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.