IX1307 Problem-Solving in Mathematics 7.5 credits

Problemlösning i matematik

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Offering and execution

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Course information

Content and learning outcomes

Course contents *

Mathematical logic, mathematical definitions, basic number theory, sets, functions, mathematical axioms, algebraic equalities and inequalities, visualisation in mathematics, complex numbers, mathematical argumentation, mathematical proofs and proof models, generalisation of mathematical statements, use of computer-based mathematical tools

Intended learning outcomes *

This course should give a basis to university mathematics. On completion of the course, the student should be able to:

  • communicate mathematical content
  • use mathematical statements (propositions, predicates, definitions, axioms, theorems)
  • use and visualise basic mathematical concepts: real numbers (integers, rational and irrational numbers), complex numbers, sets, functions as well as algebraic equalities and inequalities
  • use mathematical argumentation and different proof techniques
  • use computer-based mathematical tools for calculation and visualisation

Course Disposition

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Literature and preparations

Specific prerequisites *

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Recommended prerequisites

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Equipment

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Literature

● Fadil Galjic: Various articles

● Robert Adams and Christopher Essex: Calculus: A Complete Course, 9th Edition. Person, 2016

Examination and completion

Grading scale *

P, F

Examination *

  • INL1 - Hand-in assignments, 4.5 credits, Grading scale: P, F
  • TEN1 - Exam, 3.0 credits, Grading scale: P, 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.

The examiner will decide, in consultation with KTH's coordinator for disabilities, how to adapt an examination for students with a documented disability. The examiner may utilize 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

Fadil Galjic

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 IX1307

Offered by

EECS/Computer Science

Main field of study *

Technology

Education cycle *

First cycle

Add-on studies

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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.

Supplementary information

In this course, the EECS code of honor applies, see: http://www.kth.se/en/eecs/utbildning/hederskodex.