BalancesLaajuus (5 ECTS)

Objective

On completion of the course the student will be able to solve material and energy balances.
The course objectives are to acquire such a level of knowledge and skills in equations, matrices and vectors that are required in other studies in the student’s own field of specialization. The course will also enhance the student’s computer aided computational skills.

Content

1. Material and energy balances
2. Solving pairs of equations
3. Matrix algebra
4. Solving systems of linear equations
5. Determinedness of systems of linear equations
6. Vector algebra
7. Computer aided mathematics

Assessment criteria, satisfactory (1)

1. The student is able to define process material and energy balance.
2. The student is able to solve pairs of equations, also without the aid of computers.
3. The student masters the elementary matrix computations.
4. The student is able to put systems of linear equations into matrix form, and solve them using some mathematical software.
5. The student is able to recognize over- and under-determined systems of linear equations.
6. The student masters the elementary vector computations, and is able to visualize plane vectors.

Assessment criteria, good (3)

1. The student is able to define process material balance and is able to define system in matrix form and solve them.
2. The student is able to define process energy balance.
3. The student is able to solve also nonlinear pairs of equations.
4. The student is able to apply systems of linear equations to at least one type of major application in the student’s own field of specialization.
5. The student is able to conclude the number of solutions in systems of linear equations of different types.

Assessment criteria, excellent (5)

1. The student is able to define process material balance and is able to define system in matrix form and solve them using some mathematical software.
2. The student is able to define process energy balanceand solve them.
3. The student is able to apply his or hers skills and knowledge in typical applications in the student’s own field of specialization.
4. The student is able to apply systems of linear equations to at least one type of major application in the student’s own field of specialization etc.
5. The student is able to solve over-determined systems of linear equations in some of the commonest applications of them.
6. The student is able to interpret data and models from a vectorial point of view.

Assessment criteria, approved/failed

1. The student is able to define process material and energy balance.
2. The student is able to solve pairs of equations, also without the aid of computers.
3. The student masters the elementary matrix computations.
4. The student is able to put systems of linear equations into matrix form, and solve them using some mathematical software.
5. The student is able to recognize over- and under-determined systems of linear equations.
6. The student masters the elementary vector computations, and is able to visualize plane vectors.