Differential and integral calculus (4 cr)
Code: 8C00CY57-3002
General information
- Enrollment
-
22.11.2021 - 26.12.2021
Registration for the implementation has ended.
- Timing
-
01.01.2022 - 31.05.2022
Implementation has ended.
- Number of ECTS credits allocated
- 4 cr
- Local portion
- 4 cr
- Mode of delivery
- Contact learning
- Campus
- SeAMK Seinäjoki, Frami
- Teaching languages
- Finnish
- Degree programmes
- Bachelor of Engineering, Mechanical Engineering
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
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