Rakennetekniikan matemaattiset apuneuvot (5 cr)
Code: TX00BZ05-3006
General information
Enrollment
02.05.2019 - 01.09.2019
Timing
26.08.2019 - 20.12.2019
Number of ECTS credits allocated
5 op
Mode of delivery
Contact teaching
Unit
Kiinteistö- ja rakennusala
Campus
Myllypurontie 1
Teaching languages
- Finnish
Degree programmes
- Rakennustekniikan tutkinto-ohjelma
Teachers
- Mikko Pere
Groups
-
RR16Rakennetekniikka
Objective
On completion of the course the student can
- solve problems related to circles and other plane figures
- solve problems related to three-dimensional bodies
- use similarity and scale in geometric problems
- use matrices with groups of linear equations and recognise other possibilities of using matrices
- define the eigenvectors and eigenvalues of a matrix
- categorise differential equations according to the type
- solve separable differential equations
- solve linear differential equations.
Content
1. Plane geometry and three-dimensional geometry
2. Basics of matrices
3. Basics of differential equations
Evaluation scale
0-5
Assessment criteria, satisfactory (1)
The student is able to
-solve basic problems with circles and to calculate the areas and volumes of simple plane figures and three-dimensional bodies
- form a matrix and do basic operations with matrices
- write a group of linear equations in matrix form
- recognise the eigenvectors and eigenvalues of a matrix
- recognise a differential equation and categorise differential equations
- solve simple linear differential equations with constant coefficients.
Assessment criteria, good (3)
The student is able to
-solve problems with circles and to calculate the areas and volumes of common plane figures and three-dimensional bodies
- form a matrix and do basic operations with matrices
- solve a group of linear equations in matrix form
- write an equation which defines the eigenvectors and eigenvalues of a matrix
- recognise a differential equation and categorise differential equations
- solve simple separable differential equations and linear differential equations with constant coefficients.
Assessment criteria, excellent (5)
The student is able to
-solve demanding problems with circles and to calculate the areas of plane figures and the volumes of three-dimensional bodies
- form a matrix and do basic operations with matrices
- solve a group of linear equations in matrix form
- solve the eigenvectors and eigenvalues of a matrix
- recognise a differential equation and categorise differential equations
- solve separable differential equations and linear differential equations with constant coefficients.
Assessment criteria, approved/failed
The student is able to
-solve basic problems with circles and to calculate the areas and volumes of simple plane figures and three-dimensional bodies
- form a matrix and do basic operations with matrices
- write a group of linear equations in matrix form
- recognise the eigenvectors and eigenvalues of a matrix
- recognise a differential equation and categorise differential equations
- solve simple linear differential equations with constant coefficients.
Qualifications
Math and Science Basics 1, 2 and 3
Further information
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