Differential calculus (5 cr)
Code: 5031283-3021
General information
- Enrollment
- 01.12.2023 - 08.01.2024
- Registration for the implementation has ended.
- Timing
- 08.01.2024 - 12.04.2024
- 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
- Finnish
- Degree programmes
- Degree Programme in Mechanical Engineering
- Teachers
- Arttu Karppinen
- Teacher in charge
- Arttu Karppinen
- Groups
-
PKONTS23BPKONTS23B
- Course
- 5031283
Realization has 5 reservations. Total duration of reservations is 9 h 30 min.
Time | Topic | Location |
---|---|---|
Tue 02.04.2024 time 14:15 - 15:45 (1 h 30 min) |
Differentiaalilaskenta 5031283-3021 |
ICT_B1026_Gamma
GAMMA
|
Mon 08.04.2024 time 12:00 - 14:00 (2 h 0 min) |
Differentiaalilaskenta 5031283-3021 |
LEM_A309
Teoriatila
|
Fri 12.04.2024 time 08:00 - 10:00 (2 h 0 min) |
Välikoe, Differentiaalilaskenta 5031283-3021 |
ICT_B1047_Alpha
ALPHA
|
Mon 06.05.2024 time 16:00 - 18:00 (2 h 0 min) |
UUSINTAKOE 1 Insinöörimatematiikan perusteet, Differentiaalilaskenta |
ICT_B1032_Beta
BETA
|
Wed 22.05.2024 time 16:00 - 18:00 (2 h 0 min) |
UUSINTAKOE 2, InsMatPe ja Diff.lask |
ICT_B1032_Beta
BETA
|
Evaluation scale
H-5
Content scheduling
There are two teaching sessions weekly excluding week 8.
The first mid exam is held on week 9.
The second mid exam is held on week 15.
Course contents:
- Number systems
- Limit
- Derivative as a limit
- Differentiation formulas
- Solving optimization problems with differentiation
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
Materials
Edita; Insinöörin matematiikka; Ari Tuomenlehto & co.
Itslearning-site and material linked there.
Teaching methods
The teaching is based on contact teaching and exercises.
Exam schedules
The first mid exam on week 9.
The second mid exam on week 16.
There is a possibility of taking a full exam in May and August. A mid exam cannot be redone.
Pedagogic approaches and sustainable development
Teaching sessions consist of theory and examples. The focus on learning is placed on the activity of the student in participation and working on exercises.
Completion alternatives
Finishing the final exam.
Student workload
5 credits = 134 hours of work by the student
24 * 2 h = 48 h contact teaching
2 * 2 h = 4 h exams
82 h personal studying including working on exercises and preparing for exams
Evaluation methods and criteria
Course points (max 42 p) consist of:
Exercises 0-10p.
and EITHER
Mid exam 1: 0-16 p
Mid exam 2: 0-16 p
OR
Final exam 0-32p
A passed grade requires 10 points in total from mid exams or 10 points from the final exam. After this the grade is given by the following table:
Grade 1: 16 course ponts
Grade 2: 21 course points
Grade 3: 26 course points
Grade 4: 31 course points
Grade 5: 36 course points
Failed (0)
The student has gathered under 16 course points or has not done 30 % of practice exercises.
Assessment criteria, satisfactory (1-2)
The student has gathered 16-25 course points and has done 30 % of practice exercises.
Assessment criteria, good (3-4)
The student has gathered 26-35 course points and has done 30 % of practice exercises.
Assessment criteria, excellent (5)
The student has gathered at least 36 course points and has done 30 % of practice exercises.
Further information
Informing is done during contact teaching, by email or in the ITS-learning site. If you want to contact the teacher, please do it via email.