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ML1000 Engineering Mathematics 11.0 credits

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Choose semester and course offering to see current information and more about the course, such as course syllabus, study period, and application information.


For course offering

Autumn 2023 Start 28 Aug 2023 programme students

Application code


Headings with content from the Course syllabus ML1000 (Autumn 2019–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

  • Calculations with real and complex numbers, absolute values, algebraic expressions, differences and equation solution
  • Sums and products
  • Elementary functions: the natural logarithm function, exponential and power functions, trigonometric functions and the complex exponential function
  • Inverse functions
  • Differential and integral calculus in one variable with applications
  • Simple ordinary differential equations
  • Vectors and geometry in two and three dimensions. Matrices and determinants. Solution of linear equation systems

Intended learning outcomes

On completion of the course, the student should be able to:

  • choose and use methods, as well as understand concepts from the different areas of the course, to solve problems, both theoretical and applied
  • present mathematical reasoning to solve and present solutions in a structured manner, with correct mathematical language
  • use a computer-based tool to perform calculations on basic problems in linear algebra

Literature and preparations

Specific prerequisites

No information inserted

Recommended prerequisites

No information inserted


No information inserted


Månsson J, Nordbeck P. Endimensionell analys. Studentlitteratur ISBN 978-91-44-05610-4.
Månsson J, Nordbeck P . Övningar i Endimensionell analys. Studentlitteratur ISBN 978-91-44-12718-7.
Månsson J, Nordbeck P. Linjär algebra. Studentlitteratur. ISBN 978-91-44-12740-8.
Månsson J, Nordbeck P. Övningar i Linjär algebra. Studentlitteratur. ISBN 978-91-44-13355-3.

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


  • DÖV1 - Computer Exercises, 1.0 credits, grading scale: P, F
  • TENA - Written Examination, 5.0 credits, grading scale: A, B, C, D, E, FX, F
  • TENB - Written 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

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted


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 room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

Main field of study


Education cycle

First cycle

Add-on studies

No information inserted