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Differential calculation (3 cr)

Code: AT00CN99-3002

General information


15.08.2022 - 04.09.2022


05.09.2022 - 16.12.2022

Number of ECTS credits allocated

3 op

Virtual portion

3 op

Mode of delivery

Distance learning


Faculty of Technology (LAB)



Teaching languages

  • Finnish
  • English

Degree programmes

  • Complementary competence and optional courses, Bachelors


  • Päivi Porras

Scheduling groups

  • Diffis (Size: 0. Open UAS: 0.)



Small groups

  • DiffMath

Implementation and methods of teaching

All lecturing material and exercises are open in moodle, so this course is meant to be studied at your own pace. There is one lecture at the beginning of the course, when main aspects are mentioned. There is a so called reception time once a month, but no actual lecturing.

The course is completed with moodle exercises and with an exam at the end of the course.

Lecturing material and exercises are in English, but the teacher may also speak in Finnish occasionally.

This course is highly recommended, if you are planning mastering your diploma.

Learning material and recommended literature

All material is in moodle.


Derivation of exponential and logarithmic functions
Derivation of trigonometric and arcus functions
Applying derivation in engineering
Basics of integrals
Integrals of trigonometric, arc functions, exponential functions and logarithmic functions
Applying integrals in engineering
First and second order differential equations

Additional information for students: previous knowledge etc.

The basic knowledge required for attending this course is Technical mathematics 2 or corresponding knowledge in derivation of polynomial functions.

Assessment criteria

Grade is determined as a sum of exercise packages (max. 24 points) and scores of the test (max. 24 points). More detailed information is given in moodle.

Assessment scale


Failed (0)

A student cannot solve mechanical exercises well enough. Less than 33% of maximum scores.

Assessment criteria: level 1 (assessment scale 1–5)

A student knows methods for geometry in plain and for vectors in plain and can solve simple mechanical exercises.

Assessment criteria: level 3 (assessment scale 1–5)

A student understands requirements of geometry and vectors in plain and is able to apply them in some extent in engineering problems. At least 57% of maximum scores.

Assessment criteria: level 5 (assessment scale 1–5)

A student masters geometry and vectors in plain and is able to analyze engineering problems. At least 83 % of maximum scores.