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IX1304 Calculus 7.5 credits

About course offering

For course offering

Spring 2025 TIDAB TIEDB programme students

Target group

Mandatory for TIDAB, TIEDB and TITEH but open to all programmes as long as it can be included in your programme.

Part of programme

Degree Programme in Computer Engineering, åk 1, Mandatory

Degree Programme in Electronics and Computer Engineering, åk 1, Mandatory

Degree Programme in Engineering and Economics, åk 2, TIED, Mandatory


P3 (7.5 hp)


14 Jan 2025
16 Mar 2025

Pace of study


Form of study

Normal Daytime

Language of instruction


Course location

KTH Campus

Number of places

Min: 25

Planned modular schedule


For course offering

Spring 2025 TIDAB TIEDB programme students

Application code



For course offering

Spring 2025 TIDAB TIEDB programme students


Mattias Hammar (


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Course coordinator

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Headings with content from the Course syllabus IX1304 (Spring 2021–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

  • Real and complex numbers.
  • Functions and graphs.
  • Trigonometric, exponential and logarithmic functions.
  • Limits.
  • Derivative, derivation rules and applications.
  • Integral, rules of integration and applications.
  • Equation solving.
  • Extreme values
  • Number sequences and series, convergence and divergence.
  • Maclaurin and Taylor expansion.
  • Differential equations.
  • Iterative methods and numerical calculations.

Intended learning outcomes

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

1. Use, explain and apply the most important fundamental concepts and the problem solving methods from differential and integral calculus in a variable in particular:

  • account for the basic properties of the elementary functions such as for example power laws, logarithm laws and trigonometric formulae, as well as use these in problem-solving and calculations
  • calculate derivatives by means of e.g. the product rule, the quotient rule and the chain rule
  • use the derivative to examine the properties of a function e.g. decide properties of growing and decreasing, draw the curve, decide tangent, prove inequalities and find extreme values
  • use Taylor's formula to approximate functions with polynomial to given precision
  • account for the definition and applications of the Riemann integral as well as approximate integrals with Riemann sums
  • calculate integrals by means of primitive function, partial integration, substitution of variables and partial fraction decomposition
  • account for the fundamental theorem of calculus about the relationship between derivative and integral of the analysis as well as use this in problem-solving and calculations
  • solve a few types of linear ordinary differential equations with constant coefficients and account for how these arise in applications
  • calculate limits and use these to study the behaviour of functions locally or asymptotically
  • decide about a given function if it is invertible and if possible calculate the inverse
  • decide if certain series are convergent or divergent and if possible calculate them.

2. Be familiar with the methodology for approximate or numerical solutions of equations and integrals and its application with mathematical software.

3. Set up simple mathematical models for applied processes that can be described by means of functions of one variable as well as discuss such models' relevance, reasonableness and precision.

4. Read and profit by mathematical text about functions of a variable and their applications as well as communicate mathematical arguments and calculations in this field orally and in writing in such a way that they are easy to follow.

Literature and preparations

Specific prerequisites

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Recommended prerequisites

High school mathematics, course "Matematik 4"


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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


  • TENB - Written Final Exam, 7.5 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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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

Mathematics, Technology

Education cycle

First cycle

Add-on studies

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Mattias Hammar (

Supplementary information

In this course, the EECS code of honor applies, see: