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Choose semester and course offering to see information from the correct course syllabus and course offering.

* Retrieved from Course syllabus ML1000 (Autumn 2019–)

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

Course Disposition

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Literature and preparations

Specific prerequisites

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Recommended prerequisites

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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 hp, betygsskala: P, F
  • TENA - Written Examination, 5,0 hp, betygsskala: A, B, C, D, E, FX, F
  • TENB - Written Examination, 5,0 hp, betygsskala: 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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Profile picture Per Ahlén

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 ML1000

Offered by

ITM/Sustainable Production Development

Main field of study


Education cycle

First cycle

Add-on studies

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