Linear Algebra (MAT110)

The course gives an introduction to linear equations, matrices, determinants, vector spaces, eigenvalues, diagonalization problem.


Course description for study year 2024-2025. Please note that changes may occur.

Facts

Course code

MAT110

Version

1

Credits (ECTS)

10

Semester tution start

Autumn

Number of semesters

1

Exam semester

Autumn

Language of instruction

English

Content

The course gives an introduction to linear equations, matrices, determinants, vector spaces, eigenvalues, diagonalization problems, and elementary solution methods through programming.

Learning outcome

By the end of this course a successful student should be able to:

  • Be familiar with some of the techniques and ideas in linear algebra.
  • Be able to deal with systems of linear equations. Understand the connection both between the set of solutions and vector spaces, and between linear systems and linear transformations.
  • Understand the use of orthogonality and manage to construct orthogonal basis for certain vector spaces.
  • Be able to deal with the diagonalizationproblem.
  • Be able to solve elementary linear problems using a programming language such as Python.

Required prerequisite knowledge

None

Exam

Form of assessment Weight Duration Marks Aid
Written exam 1/1 4 Hours Letter grades No printed or written materials are allowed. Approved basic calculator allowed

Written exam is with pen and paper

Course teacher(s)

Course coordinator:

Eirik Eik Svanes

Head of Department:

Bjørn Henrik Auestad

Method of work

6 hours lectures and problem solving per week.

Overlapping courses

Course Reduction (SP)
Mathematics 6 - Linear Algebra (ÅMA140_1) 10
Mathematical methods 2B (TE0550_1) 5
Linear algebra with applications (MPT100_1) 3
Mathematical methods 2b (ÅMA270_1) 5
Mathematical Methods 2 (ÅMA260_1) 5
Mathematical methods 2 (TE0561_A) 5
Mathematical methods 2B (TE0550_A) 5
Mathematical Methods 2 (MAT200_1) 5

Open for

Biological Chemistry - Biotechnology - Bachelor's Degree Programme Civil Engineering - Bachelor in Engineering Computer Science - Bachelor in Engineering Electrical Engineering, Vocational Path - Bachelor in Engineering Electrical Engineering - Bachelor in Engineering Environmental Engineering - Bachelor in Engineering Mechanical Engineering - Bachelor in Engineering
Admission to Single Courses at the Faculty of Science and Technology
Environmental Engineering - Master of Science Degree Programme Industrial Economics - Master of Science Degree Programme Industrial Economics - Master of Science Degree Programme, Five Year Mathematics and Physics - Five Year Integrated Master's Degree Programme Marine and Subsea Technology, Master of Science Degree Programme, Five Years Marine and Offshore Technology - Master of Science Degree Programme Petroleum Engineering - Master of Science Degree Programme Petroleum Engineering - Master of Science Degree Programme, Five Years Mathematics - One-Year Programme

Course assessment

There must be an early dialogue between the course supervisor, the student union representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital subject evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.

Literature

The syllabus can be found in Leganto