Vectors and Matrices (3cr)

Objective

Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.

Content

- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra

Location and time

The schedules can be found in the timetable at https://lukkarikone.seamk.fi/. Timetables are published for the next six weeks. The first six weeks of autumn are published by Midsummer and the first six weeks of spring by Christmas. Timetables may be subject to changes.

Materials

To be announced at the beginning of the course.

Teaching methods

The study involves contact teaching and requires attendance at the SEAMK campus.

Student workload

The workload of the study is designed so that one credit corresponds to an average of 27 hours of student work to achieve the learning objectives. The actual time required varies individually, e.g., due to prior knowledge.

Assessment criteria, satisfactory (1)

satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of vectors and matrices, and is able to apply them to usual problems

Assessment criteria, good (3)

good (3-4): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.

Assessment criteria, excellent (5)

excellent (5): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned.

Qualifications

Algebra and geometry

Further information

80% attendance requirement at classes.