Mathematical Tools for Structural EngineeringLaajuus (5 cr)

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

Qualifications

Math and Science Basics 1, 2 and 3

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.

Further information

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