Before choosing courseHF1904 Linear Algebra 5.0 creditsAdministrate About course

Choose semester and course offering

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Content and learning outcomes

Course contents *

  • Euler´s and de Moivre´s theorems. Binomial equations. Algebraic equations.
  • Systems of linear equations.  Gauss elimination method.
  • Vectors. Linear independent vectors.
  • Dot product, vector cross product, scalar triple product.
  • Equations of lines in 3D. Equations of planes in 3D.
  • Determinant.
  • Matrices, matrix operations. Matrix equations.
  • Eigenvalues, eigenvectors.
  • The method of least squares. 
  • Complex numbers: The complex plane. Modulus and argument. Polar, rectangular and exponential form.

Intended learning outcomes *

After completing the course, students should for a passing grade be able to:

  • Define and interpret the fundamental concepts of linear algebra and calculus: vector,
     dot product, cross product, triple product, line, plane, matrix, determinant, limit, continuity, derivative, integral. 
  • Do calculations with complex numbers  in polar, rectangular and exponential form
  • Solve and geometrically interpret systems of linear equations.
  • Use vector algebra to evaluate projections, distance, areas and volumes.
  • Find eigenvalues and eigenvectors.
  • Apply the method of least squares in data fitting.
  • Set up simple mathematical models where the fundamental concepts in linear algebra are used.
  • Use suitable software (Maple or Matlab) for symbolic as well as numerical solving mathematical   problems and applications.

 For higher grades, the student in addition should be able to:

  • Derive important relations in linear algebra.
  • Generalize and adapt the methods to use in somewhat new contexts.
  • Solve problems that require synthesis of material and ideas from all over the course.

Course Disposition

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Literature and preparations

Specific prerequisites *

Basic and specific requirements for bachelor's program in engineering.

Recommended prerequisites

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Equipment

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Literature

MATEMATIK FÖR INGENJÖRER, Staffan Rodhe, Håkan Sollervall, Studentlitteratur. Upplaga 6 (eller nyare), ISBN13: 9789144067964.

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale *

A, B, C, D, E, FX, F

Examination *

  • TEN1 - Examination, 5.0 credits, Grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Opportunity to complete the requirements via supplementary examination

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Opportunity to raise an approved grade via renewed examination

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Examiner

Armin Halilovic

Ethical approach *

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web HF1904

Offered by

CBH/Biomedical Engineering and Health Systems

Main field of study *

Technology

Education cycle *

First cycle

Add-on studies

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