Study Guide

Objective

The student learns fundamental mathematical concepts, principles, tools (including computing environments) and terminology for professional studies.

Content

- Mathematical objects: scalars, vectors, matrices and tensors
- Basic matrix operations
- Special type of matrices and vectors
- Systems of linear equations
- Determinants
- Analytic geometry; inner and outer products, projections
- Vector spaces and linear mappings
- Linear dependence, span
- Linear regression

Location and time

Autumn term 2024, Lapland University of Applied Sciences, Rantavitikka campus (Rovaniemi, Jokiväylä 11)

Materials

Study material is available as an eBook and on the Moodle learning platform.

Teaching methods

Lessons and exercises

Exam schedules

The number and date of exams will be agreed on during the course. Resit is possible by the end of the next term.

Completion alternatives

Studying independently is possible. All exercises must be returned in time to be evaluated.

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

The student knows the concepts of linear algebra and is able to solve basic problems.

Assessment criteria, good (3)

The student understands the concepts of linear algebra and is able to solve varied problems related to applications of linear algebra.

Assessment criteria, excellent (5)

The student understands the concepts of linear algebra and is able to apply methods of linear algebra in solving and handling new types of problems.

Assessment methods and criteria

Evaluation is based on exercises and/or tests and/or exams. Students will also participate on a project, where linear algebra is integrated. The emphasis on these will be agreed upon at the beginning of the course.

Assessment criteria, fail (0)

Student doesn't meet the basic requirements of grade 1.

Assessment criteria, satisfactory (1-2)

Student understands basic concepts of linear algebra (vectors and matrices) and is capable of solving basic exercises, such as basic vector and matrix calculus and systems of two equations.

Assessment criteria, good (3-4)

Student understands more complicated concepts of linear algebra, such as linear dependency and independency, vector spaces, projections and transformations, determinants, and is capable of solving versatile exercises, such as inner and outer products, matrix equations and solving systems of linear equations. Student uses correct mathematical language and can create logical solutions.

Assessment criteria, excellent (5)

Student is capable of applying concepts of linear algebra to new problems and solve them in exact mathematical language.