Equations and MatricesLaajuus (3 ECTS)

Objective

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. Solving pairs of equations
2. Matrix algebra
3. Solving systems of linear equations
4. Determinedness of systems of linear equations
5. Vector algebra
6. Computer aided mathematics

Qualifications

Basics in Engineering Mathematics

Assessment criteria, satisfactory (1)

1. The student is able to solve pairs of equations, also without the aid of computers.
2. The student masters the elementary matrix computations.
3. The student is able to put systems of linear equations into matrix form, and solve them using some mathematical software.
4. The student is able to recognize over- and under-determined systems of linear equations.
5. The student masters the elementary vector computations, and is able to visualize plane vectors.
6. The student takes part in the computer labs and completes the given exercises.

Assessment criteria, good (3)

1. The student is able to solve also nonlinear pairs of equations.
3. 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.
4. The student is able to conclude the number of solutions in systems of linear equations of different types.
5. The student is able to apply vector algebra in physical or chemical applications.

Assessment criteria, excellent (5)

1. The student is able to apply his or hers skills and knowledge in typical applications in the student’s own field of specialization.
3. 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.
4. The student is able to solve over-determined systems of linear equations in some of their commonest applications.
5. The student is able to interpret data and models from a vectorial point of view.