Differential calculus (5 cr)
Code: 5031283-3019
General information
Enrollment
01.06.2023 - 04.09.2023
Timing
01.09.2023 - 31.12.2023
Number of ECTS credits allocated
5 op
Mode of delivery
Contact teaching
Unit
Engineering and Business
Campus
Kupittaa Campus
Teaching languages
- Finnish
Degree programmes
- Degree Programme in Mechanical Engineering
Teachers
- Arttu Karppinen
- Riku Mattila
Teacher in charge
Riku Mattila
Groups
-
PKONTK23BPKONTK23B
-
PKONTK23
-
PKONTK23APKONTK23A
- 04.09.2023 08:00 - 10:00, Differentiaalilaskenta 5031283-3019
- 04.09.2023 08:00 - 10:00, Differentiaalilaskenta 5031283-3019
- 07.09.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 07.09.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 11.09.2023 08:00 - 10:00, Differentiaalilaskenta 5031283-3019
- 11.09.2023 08:30 - 10:00, Differentiaalilaskenta 5031283-3019
- 14.09.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 14.09.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 21.09.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 21.09.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 25.09.2023 08:00 - 10:00, Differentiaalilaskenta 5031283-3019
- 25.09.2023 08:00 - 10:00, Differentiaalilaskenta 5031283-3019
- 28.09.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 28.09.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 02.10.2023 08:00 - 10:00, Differentiaalilaskenta 5031283-3019
- 02.10.2023 08:00 - 10:00, Differentiaalilaskenta 5031283-3019
- 05.10.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 05.10.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 09.10.2023 08:30 - 10:00, Differentiaalilaskenta 5031283-3019
- 09.10.2023 08:30 - 10:00, Differentiaalilaskenta 5031283-3019
- 12.10.2023 14:15 - 15:45, Differentiaalilaskenta, kertaustunti
- 23.10.2023 08:00 - 10:00, Välikoe1, Differentiaalilaskenta 5031283-3019
- 24.10.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 26.10.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 30.10.2023 08:00 - 10:00, Differentiaalilaskenta 5031283-3019
- 30.10.2023 08:00 - 10:00, Differentiaalilaskenta 5031283-3019
- 02.11.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 02.11.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 09.11.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 09.11.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 13.11.2023 08:00 - 10:00, Differentiaalilaskenta 5031283-3019
- 13.11.2023 08:00 - 10:00, Differentiaalilaskenta 5031283-3019
- 16.11.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 16.11.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 20.11.2023 08:00 - 10:00, Differentiaalilaskenta 5031283-3019
- 20.11.2023 08:00 - 10:00, Differentiaalilaskenta 5031283-3019
- 23.11.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 27.11.2023 08:00 - 10:00, Kertaus, Differentiaalilaskenta 5031283-3019
- 30.11.2023 14:00 - 16:00, Differentiaalilaskenta 5031283-3019
- 08.12.2023 08:00 - 10:00, Välikoe2, Differentiaalilaskenta 5031283-3019
Objective
After completing the course the student:
- operate with mathematical expressions related to technology
- to formulate mathematical model
- understand the concept of a function and recognizes the characteristic properties of different functions
- solve equations involving functions and apply them in practical problems
- use derivatives to analyse graphs
- use differentials to approximate changes and errors
- use matrices and determinants (e.g. for solving linear simultaneous equations),
- use dot and cross products in applications
- give the answer in an expected form
Content
Topics covered in course are (in the order shown):
* functions and graphs
* Pythagoras’ theorem and trigonometric functions
* line and slope
* exponential and logarithmic functions
* function composition
* continuity and limit of a function
* definition of the derivative
* derivatives of basic functions
* derivative rules
* derivative of the composition of functions (chain rule)
* product rule and quotient rule
* tangent and differential
* critical points and extreme values
* finding extreme values by examination of critical points
* functions of several variables
* partial derivatives
* differentials and error estimates
* total differential
Evaluation scale
H-5