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Differential and Integral CalculusLaajuus (5 cr)

Code: IE10003

Credits

5 op

Teaching language

  • Finnish

Responsible person

  • Lisbeth Smolander

Objective

After completing the study unit

- you know how to develop skills for mathematical processing of technological applications
- you can calculate instantaneous and total change of function
- you know derivation and integration rules
- you can apply the concepts of differential calculus and integral calculus in solving practical problems

Content

The study unit includes:

- limits
- derivation
- differential and error formulas
- extreme values of functions
- integration
- applications of integrals

Enrollment

01.10.2024 - 31.10.2024

Timing

13.01.2025 - 02.05.2025

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Campus

Wärtsilä Campus Karjalankatu 3

Teaching languages
  • Finnish
Seats

20 - 50

Degree programmes
  • Degree Programme in Energy and Environmental Engineering
Teachers
  • Lisbeth Smolander
Teacher in charge

Lisbeth Smolander

Groups
  • IENS24
    Engineer, Energy and Environmental Engineering, Full-Time Studies, Fall, 2024

Objective

After completing the study unit

- you know how to develop skills for mathematical processing of technological applications
- you can calculate instantaneous and total change of function
- you know derivation and integration rules
- you can apply the concepts of differential calculus and integral calculus in solving practical problems

Content

The study unit includes:

- limits
- derivation
- differential and error formulas
- extreme values of functions
- integration
- applications of integrals

Evaluation scale

H-5

Enrollment

01.10.2023 - 31.10.2023

Timing

08.01.2024 - 26.05.2024

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Campus

Wärtsilä Campus Karjalankatu 3

Teaching languages
  • Finnish
Seats

20 - 50

Degree programmes
  • Degree Programme in Energy and Environmental Engineering
Teachers
  • Lisbeth Smolander
Teacher in charge

Lisbeth Smolander

Groups
  • IENS23
    Engineer, Energy and Environmental Engineering, Full-Time Studies, Fall, 2023

Objective

After completing the study unit

- you know how to develop skills for mathematical processing of technological applications
- you can calculate instantaneous and total change of function
- you know derivation and integration rules
- you can apply the concepts of differential calculus and integral calculus in solving practical problems

Content

The study unit includes:

- limits
- derivation
- differential and error formulas
- extreme values of functions
- integration
- applications of integrals

Evaluation scale

H-5

Enrollment

01.10.2022 - 31.10.2022

Timing

09.01.2023 - 27.05.2023

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Campus

Wärtsilä Campus Karjalankatu 3

Teaching languages
  • Finnish
Seats

1 - 50

Degree programmes
  • Degree Programme in Energy and Environmental Engineering
Teachers
  • Lisbeth Smolander
Teacher in charge

Lisbeth Smolander

Groups
  • IENS22
    Engineer, Energy and Environmental Engineering, Full-Time Studies, Fall, 2022

Objective

After completing the study unit

- you know how to develop skills for mathematical processing of technological applications
- you can calculate instantaneous and total change of function
- you know derivation and integration rules
- you can apply the concepts of differential calculus and integral calculus in solving practical problems

Content

The study unit includes:

- limits
- derivation
- differential and error formulas
- extreme values of functions
- integration
- applications of integrals

Location and time

• Spring of the first academic year: 9.1.2023-12.5.2023.

Materials

• Tuomilehto, Holmlund, Huuskonen, Makkonen, Surakka: Insinöörin matematiikka, Edita, ISBN 978-951-37-6352-7.
• Teacher's materials on Moodle.

Teaching methods

• Lectures, exercises and independent study of differential and integral calculus as well as applications in your field.
• The course also includes 3-4 midterm exams and one distance learning assignment.

Exam schedules

• The dates of the mid-term exams will be held according to the progress made.
• Final exam in May 2023 according to the timetable.
• The exam can be repeated twice with the same content until 31.10.2023.
• Re-exams will be announced in the Moodle learning environment.
• This course cannot be taken in EXAM.

Completion alternatives

• The course can also be completed by final examination in May 2023.

Student workload

• Lectures and exercises 55 hours
• Independent study 80 hours
• Total 135 hours

Evaluation scale

H-5

Assessment methods and criteria

• Assessment is based on weekly tests and calculation exercises. If your score is
o 35 % of the maximum score: grade 0,
o 35 % to 47,75 % of the maximum: grade 1,
o 47,75 % to 60,5 % of the maximum: grade 2,
o 60,5 % to 73,25 % of the maximum: grade 3,
o 73,25 % to 86 % of maximum: grade 4 and
o more than 86% of the maximum: grade 5.
• The distance learning assignment for the course must also be returned. The assignment must be returned by 12.5.2023 at the latest.