Differential and integral calculus (4cr)
Code: 8C00CY57-3008
General information
- Enrollment
- 12.11.2024 - 13.01.2025
- Registration for the implementation has ended.
- Timing
- 02.01.2025 - 30.04.2025
- Implementation has ended.
- Number of ECTS credits allocated
- 4 cr
- Local portion
- 0 cr
- Virtual portion
- 4 cr
- Mode of delivery
- Distance learning
- Unit
- SeAMK Mechanical Engineering
- Campus
- SeAMK Seinäjoki, Frami
- Teaching languages
- Finnish
- Seats
- 0 - 200
- Degree programmes
- Bachelor of Engineering, Mechanical Engineering
- Teachers
- Heikki Kokkonen
- Scheduling groups
- Avoin AMK (Ei koske tutkinto-opiskelijaa) (Size: 80 . Open UAS : 80.)
- Ristiinopiskelu (Size: 0 . Open UAS : 0.)
- Small groups
- Open UAS (Doesn't apply to degree student)
- Cross Studies
- Course
- 8C00CY57
Evaluation scale
1-5
Objective
The student masters the concept of the derivative and integrals of a function of one variable. The student is able to apply differential and integral calculus to common situations encountered in technical studies and engineering tasks. The student knows how to use technical aids with calculations in solving problems.
Content
Derivative
-definition of derivative
-differentiation of elementary functions
-equation of tangent
-Instantaneous growth
-extreme value applications
-applications of kinematics
-error assessment
Integral
-definitions of integrals
-integration of elementary functions
-initial value problems
-determining area and volume
-determining the center of gravity
-applications of kinematics
Materials
All the necessary study material is in moodle.
Teaching methods
Independent study in moodle.
Assessment criteria, satisfactory (1)
Satisfactory grade (1 – 2)
The student is able to form the equation of the tangent to a curve. The student can apply Fermt´s theorem. The student is able to solve a simple initial value problem and can calculate areas using the integral.
Assessment criteria, good (3)
Good grade (3 – 4)
In addition to satisfactory knowledge, the student is able to solve standard extreme value applications. The student can calculate volumes and centers of gravity using the integral
Assessment criteria, excellent (5)
Excellent grade (5)
In addition to satisfactory and good knowledge, the student is able to solve difficult kinematics problems. The student is able to apply what they has learned to error evaluation and new types of optimization.
Qualifications
Algebra and Trigonometry
Further information
The course's Moodle contains versatile and clear material for independent study. The course material covers clear videos and lecture slides on each topic. There are many practice tasks and there is a model solution for each task. You can check your own competence after studying each of the six themes with competence tests, which also accumulate the points needed for the evaluation.