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Calculus (5 cr)

Code: TE00CE14-3011

General information


Enrollment
01.12.2024 - 26.01.2025
Registration for the implementation has ended.
Timing
13.01.2025 - 31.05.2025
Implementation is running.
Number of ECTS credits allocated
5 cr
Local portion
5 cr
Mode of delivery
Contact learning
Unit
Engineering and Business
Campus
Kupittaa Campus
Teaching languages
English
Seats
40 - 70
Degree programmes
Degree Programme in Information and Communications Technology
Teachers
COS Opettaja
Hazem Al-Bermanei
Groups
PINFOK24A
PINFOK24A
PINFOK24B
PINFOK24B
PINFOS24C
PINFOS24C
Course
TE00CE14

Realization has 56 reservations. Total duration of reservations is 112 h 0 min.

Time Topic Location
Mon 13.01.2025 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Wed 15.01.2025 time 08:00 - 10:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1035_Delta DELTA
Thu 16.01.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Fri 17.01.2025 time 08:00 - 10:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Mon 20.01.2025 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Wed 22.01.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Thu 23.01.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Fri 24.01.2025 time 08:00 - 10:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Mon 27.01.2025 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Wed 29.01.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_B1047_Alpha ALPHA
Thu 30.01.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Fri 31.01.2025 time 08:00 - 10:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Mon 03.02.2025 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Wed 05.02.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_B1047_Alpha ALPHA
Thu 06.02.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Fri 07.02.2025 time 08:00 - 10:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Mon 10.02.2025 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Wed 12.02.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Thu 13.02.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Fri 14.02.2025 time 08:00 - 10:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Mon 24.02.2025 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Wed 26.02.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_B1047_Alpha ALPHA
Thu 27.02.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Fri 28.02.2025 time 08:00 - 10:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Mon 03.03.2025 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Wed 05.03.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Thu 06.03.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Fri 07.03.2025 time 08:00 - 10:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Mon 10.03.2025 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Wed 12.03.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Thu 13.03.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Fri 14.03.2025 time 08:00 - 10:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Mon 17.03.2025 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Wed 19.03.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_B1047_Alpha ALPHA
Thu 20.03.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Fri 21.03.2025 time 08:00 - 10:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Mon 24.03.2025 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Wed 26.03.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Thu 27.03.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Fri 28.03.2025 time 08:00 - 10:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Mon 31.03.2025 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Wed 02.04.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Thu 03.04.2025 time 08:00 - 10:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Fri 04.04.2025 time 08:00 - 10:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Mon 07.04.2025 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Wed 09.04.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Thu 10.04.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Fri 11.04.2025 time 08:00 - 10:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Mon 14.04.2025 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Wed 16.04.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Thu 17.04.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Thu 17.04.2025 time 12:00 - 14:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Tue 22.04.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Wed 23.04.2025 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Thu 24.04.2025 time 12:00 - 14:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1027_Lambda LAMBDA
Fri 25.04.2025 time 08:00 - 10:00
(2 h 0 min)
Exercises, Calculus TE00CE14-3011
ICT_C1042_Myy MYY
Changes to reservations may be possible.

Evaluation scale

H-5

Content scheduling

• Limits
• The derivative
• Differentials
• Antiderivatives and the definite integral
• Applications of differentiation and integration
• On differential equations

Objective

After completing the course the student can
- use derivatives to analyze functions
- use differentials to approximate changes and errors
- use integrals to calculate e.g. areas and volumes, mean values and square mean values
- solve integrable and 1. order separable differential equations
- use relevant mathematical denotation correctly

Content

- Limits
- The derivative
- Differentials
- Antiderivatives and the definite integral
- Applications of differentiation and integration
- On differential equations

Materials

1. Calculus (3rd edition), Fred Safier, SCHAUM’S outlines.
2. Engineering Mathematics (6th edition), K.A. Stroud [MACMILLAN PRESS LTD]
3. Formula book: Technical formulas

Teaching methods

Teacher-directed classroom activities, group work and independent work; project work, reports, task-based (homework)

International connections

The contents of the course give understanding to use the derivatives to analyze functions, use differentials to approximate changes and errors, solve separable and linear first order differential equations, use integrals to calculate e.g. areas and mean values and square mean values of functions and use relevant mathematical denotation correctly, moreover the students can use relevant mathematical denotation correctly.
The students will team up for a project work and writing reports on some current and relevant aspect of math, which gives everyone an opportunity to understand the topic; all students will develop their mathematical proficiency.
Task-based assessment supports learning and is continuous throughout the course. Studying in an international group develops students’ ability to intercultural communication and multicultural collaboration.

Student workload

Classroom activities: Classroom activities participation: 50 h
Homework: Working on homework sets 1-6: 30 h
Project work: Research, presentation material, presentation: 20h
Final exam: Preparing for the final exam : 25 h

Qualifications

Precalculus course or equivalent skills

Further information

All practical information on timetables, project work, grading etc., as well as links to web materials are provided in ITS Learning

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