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Calculus (5 cr)

Code: TE00CE14-3008

General information


Enrollment
05.08.2024 - 15.09.2024
Registration for the implementation has ended.
Timing
02.09.2024 - 18.12.2024
Implementation has ended.
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
0 - 80
Degree programmes
Degree Programme in Information and Communications Technology
Teachers
COS Opettaja
Hazem Al-Bermanei
Groups
PINFOS23A
PINFOS23A
PINFOS23B
PINFOS23B
PINFOK24C
PINFOK24C
Course
TE00CE14

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

Time Topic Location
Wed 04.09.2024 time 08:00 - 10:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_C1042_Myy MYY
Thu 05.09.2024 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Fri 06.09.2024 time 12:00 - 14:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Mon 09.09.2024 time 10:00 - 12:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_C1035_Delta DELTA
Wed 11.09.2024 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_C1042_Myy MYY
Thu 12.09.2024 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_C2032 Teoriatila muunto
Fri 13.09.2024 time 12:00 - 14:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Mon 16.09.2024 time 10:00 - 12:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_C1035_Delta DELTA
Wed 18.09.2024 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_C1042_Myy MYY
Thu 19.09.2024 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Fri 20.09.2024 time 12:00 - 14:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Mon 23.09.2024 time 10:00 - 12:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_C2033_2034 Teoriatila muunto
Wed 25.09.2024 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_C1042_Myy MYY
Thu 26.09.2024 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Fri 27.09.2024 time 12:00 - 14:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Mon 30.09.2024 time 10:00 - 12:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_C1035_Delta DELTA
Wed 02.10.2024 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_C1042_Myy MYY
Thu 03.10.2024 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Fri 04.10.2024 time 12:00 - 14:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Mon 07.10.2024 time 10:00 - 12:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_C1035_Delta DELTA
Wed 09.10.2024 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_C1042_Myy MYY
Thu 10.10.2024 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Fri 11.10.2024 time 12:00 - 14:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Mon 21.10.2024 time 10:00 - 12:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_C1035_Delta DELTA
Wed 23.10.2024 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_C1042_Myy MYY
Thu 24.10.2024 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Fri 25.10.2024 time 12:00 - 14:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Mon 28.10.2024 time 10:00 - 12:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_C2033_2034 Teoriatila muunto
Wed 30.10.2024 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
LEM_B164 Tapio muunto
Thu 31.10.2024 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Fri 01.11.2024 time 13:00 - 15:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Mon 04.11.2024 time 10:00 - 12:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_C1035_Delta DELTA
Tue 05.11.2024 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_C2046 Teoriatila muunto
Wed 06.11.2024 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_C1042_Myy MYY
Fri 08.11.2024 time 12:00 - 14:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Mon 11.11.2024 time 10:00 - 12:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_C1035_Delta DELTA
Wed 13.11.2024 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_C1042_Myy MYY
Thu 14.11.2024 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Fri 15.11.2024 time 12:00 - 14:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Mon 18.11.2024 time 10:00 - 12:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_C1035_Delta DELTA
Wed 20.11.2024 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_C1042_Myy MYY
Thu 21.11.2024 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Fri 22.11.2024 time 12:00 - 14:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Mon 25.11.2024 time 10:00 - 12:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_C1035_Delta DELTA
Wed 27.11.2024 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_C1042_Myy MYY
Thu 28.11.2024 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Fri 29.11.2024 time 12:00 - 14:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Mon 02.12.2024 time 10:00 - 12:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_C1035_Delta DELTA
Mon 02.12.2024 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_C1032 Demotila
Wed 04.12.2024 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_C1042_Myy MYY
Thu 05.12.2024 time 12:00 - 14:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Mon 09.12.2024 time 10:00 - 12:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_C1035_Delta DELTA
Wed 11.12.2024 time 10:00 - 12:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_C1042_Myy MYY
Thu 12.12.2024 time 12:00 - 14:00
(2 h 0 min)
Lecture, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Fri 13.12.2024 time 12:00 - 14:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_B1033 Teoriatila
Mon 16.12.2024 time 10:00 - 12:00
(2 h 0 min)
Exercise, Calculus TE00CE14-3008
ICT_C1035_Delta DELTA
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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