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IX1305 Mathematics III 7.5 credits

Course offerings are missing for current or upcoming semesters.
Headings with content from the Course syllabus IX1305 (Autumn 2008–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Discrete mathematics
• Recursion and induction
• Graphs
• Relations
• Algebra (groups, rings and fields)  Mathematical statistics
• Descriptive statistics
• Point estimation
• Confidence interval
• Hypothesis testing
• Simulation 

Intended learning outcomes

Discrete mathematics Discrete mathematics is mathematics connected to computer science. The main goal is to give the student basic knowledge in this field. After the course the student will be able to:* describe a problem with a graph and know basic properties of graphs* show some statements by induction* be able to do some calculations in the ring Zn and in the field Zp* use basic relations for the natural numbers More over the student will be able to use a mathematical computer program. Mathematical statisticsThe main goal is that the student will be able to practically use statistical methods. After the course the student will be able to describe data graphically with statistical parameters as the mean and variance. Given a set of data the student will be able to* make point estimations of some statistical variables and to calculate the error of the estimation.* make confidence intervals* construct a hypothesis test More over the student will be able to make simulations based on random events. 

Literature and preparations

Specific prerequisites

No information inserted

Recommended prerequisites

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Equipment

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Literature

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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

Examination

  • LAB1 - Laboratory Work, 3.0 credits, grading scale: P, F
  • TEN1 - Examination, 4.5 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.

Other requirements for final grade

Written exam 3pLaborations 2p

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

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Examiner

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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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