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CalculusLaajuus (5 cr)

Code: TI00EB46

Credits

5 op

Teaching language

  • Finnish

Objective

You know the basic concepts of calculus.
You are able to differentiate and integrate different kinds of functions using various methods.
You are able to apply calculus in engineering tasks.

Content

How are real numbers defined and equations and inequalities solved?
How are plane curves determined, and what are the basic elementary (real) functions and their properties?
What does the convergence of (real) sequences and series mean and how are sequences and series applied in engineering tasks?
How are the derivative, integral function and definite integral defined and what differentiation and integration methods are there?
How are functions of multiple variables differentiated?
How are differentiation and integration applied in engineering tasks?

Qualifications

A basic knowledge of number systems, logic, sets and Boolean algebras are required.

Enrollment

08.04.2024 - 21.04.2024

Timing

02.09.2024 - 13.12.2024

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Unit

Department of Information Technology

Campus

Kotka Campus

Teaching languages
  • Finnish
Seats

10 - 40

Degree programmes
  • Degree Programme in Cyber Security
Teachers
  • Tiina Kettunen
Groups
  • KTKT23SP
    Cybersecurity, 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 are able to apply calculus in engineering tasks.

Content

How are real numbers defined and equations and inequalities solved?
How are plane curves determined, and what are the basic elementary (real) functions and their properties?
What does the convergence of (real) sequences and series mean and how are sequences and series applied in engineering tasks?
How are the derivative, integral function and definite integral defined and what differentiation and integration methods are there?
How are functions of multiple variables differentiated?
How are differentiation and integration applied in engineering tasks?

Opiskelumateriaali

Learn-alustalla ilmoitettu oppimateriaali.

Yksilölliset oppimisväylät

Kurssin toteutustavat ja arviointi ilmoitetaan Learn-alustalla.

TKI ja työelämäyhteistyö

Opintojaksoon ei sisälly TKI- ja työelämäyhteistyötä.

Tentit ja muut määräajat

Kurssilla hyväksyttävästi suoritettavat välikokeet tai tentti.

Kansainvälinen yhteistyö

Opintojaksoon ei sisälly kansainvälistä yhteistyötä.

Opiskelijan työmäärä

5 op

Evaluation scale

1-5

Assessment methods and criteria

Hyväksyttävästi suoritettavat laskuharjoitukset ja tentti tai pelkkä tentti.

Qualifications

A basic knowledge of number systems, logic, sets and Boolean algebras are required.

Enrollment

06.04.2023 - 21.04.2023

Timing

04.09.2023 - 15.12.2023

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Unit

Department of Information Technology

Campus

Kotka Campus

Teaching languages
  • Finnish
Seats

20 - 40

Degree programmes
  • Degree Programme in Cyber Security
Teachers
  • Tiina Kettunen
Teacher in charge

Katja Helve

Groups
  • KTKT22SP
    Cybersecurity, 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 are able to apply calculus in engineering tasks.

Content

How are real numbers defined and equations and inequalities solved?
How are plane curves determined, and what are the basic elementary (real) functions and their properties?
What does the convergence of (real) sequences and series mean and how are sequences and series applied in engineering tasks?
How are the derivative, integral function and definite integral defined and what differentiation and integration methods are there?
How are functions of multiple variables differentiated?
How are differentiation and integration applied in engineering tasks?

Opiskelumateriaali

Learn-alustalla ilmoitettu oppimateriaali.

Yksilölliset oppimisväylät

Kurssin toteutustavat ja arviointi ilmoitetaan Learn-alustalla.

TKI ja työelämäyhteistyö

Opintojaksoon ei sisälly TKI- ja työelämäyhteistyötä.

Qualifications

A basic knowledge of number systems, logic, sets and Boolean algebras are required.

Enrollment

06.04.2022 - 22.04.2022

Timing

29.08.2022 - 09.12.2022

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Unit

Department of Information Technology

Campus

Kotka Campus

Teaching languages
  • Finnish
Seats

12 - 60

Degree programmes
  • Degree Programme in Cyber Security
Teachers
  • Henry Lähteenmäki
Teacher in charge

Henry Lähteenmäki

Groups
  • KTKT21SP
    Cybersecurity, 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 are able to apply calculus in engineering tasks.

Content

How are real numbers defined and equations and inequalities solved?
How are plane curves determined, and what are the basic elementary (real) functions and their properties?
What does the convergence of (real) sequences and series mean and how are sequences and series applied in engineering tasks?
How are the derivative, integral function and definite integral defined and what differentiation and integration methods are there?
How are functions of multiple variables differentiated?
How are differentiation and integration applied in engineering tasks?

Opiskelumateriaali

Lecture notes and calculations.

Yksilölliset oppimisväylät

Final Exam.

TKI ja työelämäyhteistyö

This course does not include RDI and work-related cooperation.

Evaluation scale

1-5

Qualifications

A basic knowledge of number systems, logic, sets and Boolean algebras are required.