Differential EquationsLaajuus (3 cr)
Code: TKV18MA05
Credits
3 op
Objective
After completing the course, the student can use differential equations to model and solve technical problems.
Content
- Modeling problems using differential equations
- Solving separable differential equations and first-order linear equations
- Solving second-order differential equations with constant coefficients (oscillations)
- Discretization and numerical solution of differential equations using Euler's method
Qualifications
Functions and Equations 1,
Geometry and Vectors,
Functions and Equations 2,
Derivatives and Integrals.
Assessment criteria, satisfactory (1)
Recognizes differential equations. Understands the importance and use of differential equations in technical contexts.
Can solve simple separable differential equations.
Can solve homogeneous second-order differential equations by using the characteristic equation.
Can use software to numerically solve simple differential equations.
Assessment criteria, good (3)
Can perform simple modeling and solve linear first-order differential equations.
Can solve second-order differential equations with constant coefficients.
Has mastered simple methods for numerically solving differential equations.
Assessment criteria, excellent (5)
Can perform more demanding modeling and solve first-order differential equations.
Understands the oscillator equation and can use it to model mechanical and electrical oscillations.
Can independently model and solve more demanding problems numerically.
Materials
Course notes with theory and exercises
Selected parts from:
- Engineering mathematics - A Foundation for electronic, electrical, communications and system engineers, third edition (Croft, Davison, Hargreaves)
- Differentiaaliyhtälöt TAM 3D (Launonen, Sorvali, Toivonen)
Enrollment
01.12.2022 - 09.01.2023
Timing
02.01.2023 - 26.02.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology and Seafaring
Campus
Vasa, Wolffskavägen 33
Teaching languages
- Svenska
Degree programmes
- Degree Programme in Civil and Construction Engineering
- Degree Programme in Mechanical and Production Engineering
- Degree Programme in Electrical Engineering and Automation
- Degree Programme in Industrial Management
Teachers
- Ing-Britt Rögård
Teacher in charge
Kaj Rintanen
Groups
-
MAP21D-VIngenjör (YH), maskin- och produktionsteknik, 2021 dagstudier
Objective
After completing the course, the student can use differential equations to model and solve technical problems.
Content
- Modeling problems using differential equations
- Solving separable differential equations and first-order linear equations
- Solving second-order differential equations with constant coefficients (oscillations)
- Discretization and numerical solution of differential equations using Euler's method
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Recognizes differential equations. Understands the importance and use of differential equations in technical contexts.
Can solve simple separable differential equations.
Can solve homogeneous second-order differential equations by using the characteristic equation.
Can use software to numerically solve simple differential equations.
Assessment criteria, good (3)
Can perform simple modeling and solve linear first-order differential equations.
Can solve second-order differential equations with constant coefficients.
Has mastered simple methods for numerically solving differential equations.
Assessment criteria, excellent (5)
Can perform more demanding modeling and solve first-order differential equations.
Understands the oscillator equation and can use it to model mechanical and electrical oscillations.
Can independently model and solve more demanding problems numerically.
Qualifications
Functions and Equations 1,
Geometry and Vectors,
Functions and Equations 2,
Derivatives and Integrals.
Enrollment
01.12.2022 - 19.03.2023
Timing
02.01.2023 - 28.04.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology and Seafaring
Campus
Vasa, Wolffskavägen 33
Teaching languages
- Svenska
Degree programmes
- Degree Programme in Civil and Construction Engineering
- Degree Programme in Mechanical and Production Engineering
- Degree Programme in Electrical Engineering and Automation
- Degree Programme in Industrial Management
Teachers
- Ing-Britt Rögård
Teacher in charge
Leif Östman
Groups
-
BYL21D-VIngenjör (YH), lantmäteriteknik, 2021 dagstudier
-
BYS21D-VIngenjör (YH), byggnads- och samhällsteknik, 2021 Vasa, dagstudier
Objective
After completing the course, the student can use differential equations to model and solve technical problems.
Content
- Modeling problems using differential equations
- Solving separable differential equations and first-order linear equations
- Solving second-order differential equations with constant coefficients (oscillations)
- Discretization and numerical solution of differential equations using Euler's method
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Recognizes differential equations. Understands the importance and use of differential equations in technical contexts.
Can solve simple separable differential equations.
Can solve homogeneous second-order differential equations by using the characteristic equation.
Can use software to numerically solve simple differential equations.
Assessment criteria, good (3)
Can perform simple modeling and solve linear first-order differential equations.
Can solve second-order differential equations with constant coefficients.
Has mastered simple methods for numerically solving differential equations.
Assessment criteria, excellent (5)
Can perform more demanding modeling and solve first-order differential equations.
Understands the oscillator equation and can use it to model mechanical and electrical oscillations.
Can independently model and solve more demanding problems numerically.
Qualifications
Functions and Equations 1,
Geometry and Vectors,
Functions and Equations 2,
Derivatives and Integrals.