Course syllabus for Linear algebra

Course syllabus adopted 2023-02-02 by Head of Programme (or corresponding).

Overview

  • Swedish nameLinjär algebra
  • CodeTMV206
  • Credits7.5 Credits
  • OwnerTKITE
  • Education cycleFirst-cycle
  • Main field of studyMathematics
  • DepartmentMATHEMATICAL SCIENCES
  • GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail

Course round 1

  • Teaching language Swedish
  • Application code 52114
  • Open for exchange studentsNo
  • Only students with the course round in the programme overview.

Credit distribution

0107 Examination 6 c
Grading: TH		0 c0 c6 c0 c0 c0 c
0207 Laboratory 1.5 c
Grading: UG		0 c0 c1.5 c0 c0 c0 c

In programmes

Examiner

Eligibility

General entry requirements for bachelor's level (first cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Specific entry requirements

The same as for the programme that owns the course.
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Aim

This course, together with other compulsory mathematics courses, gives general knowledge in mathematics useful in further studies and for the practising engineer. Linear equations or systems of these appear in all linear models in science, engineering and economy (numerical equations, differntial equations, etc). Linear algebra provides a common powerful formalism for all such equations. This course covers the fundamental concepts in linear algebra.

Learning outcomes (after completion of the course the student should be able to)

(i) apply geometrical vectors in geometry and science (ii) describe coordinate systems and the equations for  planes and  lines (iii) apply scalar and vector products (iv) describe the concept of matrix and matrix algebra (v) interpret determinants as volumes or areas (vi) describe the eigenvalue problem for matrices (vii) use Python for solving problems within Linear Algebra

Content

Matrices and vectors, linear transformations, linear equations, eigenvectors and eigenvalues, linear (in)dependence, basis and dimensions, relation matrices. Applications of matrix algebra to graph theory. Python is introduced as an example of mathematical softwares commonly used in the analysis of linear problems.

Organisation

Lectures. Scheduled group work. Computer assignments. Possibly electronic examination (quizzes).

Literature

See course homepage.

Examination including compulsory elements

The examination consists of a written exam and computer based assignments. It may be possible to get bonus points to the exam from quizzes given during the course.

The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers on educational support due to disability.