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 2025, 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)

You do not meet the requirements for grade 1.

Assessment criteria, satisfactory (1-2)

You can perform basic operations with vectors and matrices, such as addition and scalar multiplication. You can solve basic and well-defined problems using vectors and matrices and you are able solve a pair of linear equations.

Assessment criteria, good (3-4)

You can perform various calculations with vectors and matrices. You can use the methods of vector and matrix calculus to solve versatile problems, such as finding determinants, inverses, and solving systems of linear equations.

Assessment criteria, excellent (5)

You can perform complex calculations with vectors and matrices. You are able to prove if vectors are linearly independent or not. You can conduct a linear regression. You are able to apply the methods of linear algebra in solving and handling new types of problems.