Syllabus for Perspectives on Mathematics

Perspektiv på matematik

Syllabus

  • 5 credits
  • Course code: 1MA337
  • Education cycle: Second cycle
  • Main field(s) of study and in-depth level: Mathematics A1N
  • Grading system: Fail (U), Pass (G)
  • Established: 2022-03-03
  • Established by: The Faculty Board of Science and Technology
  • Applies from: Autumn 2022
  • Entry requirements: 120 credits including 90 credits Mathematics. Proficiency in English equivalent to the Swedish upper secondary course English 6.
  • Responsible department: Department of Mathematics

Learning outcomes

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

  • communicate mathematics orally and in writing to people with varying degree of mathematical knowledge,
  • provide and process constructive feedback on mathematical writing and presentation,
  • explain the role of mathematical research in society,
  • analyse philosophical and historical approaches to mathematics and mathematics education,
  • reflect on ethical aspects of research in mathematics and applications of mathematics in other subjects.

Content

Methods of mathematical communication and exposition. Methods of providing constructive feedback on written expositions and oral presentations. The role of mathematics in different aspects of modern society. Ethical aspects of mathematics.

Project work that can involve topics such as

  • philosophical aspects of mathematics, epistemology of mathematics and mathematics education,
  • similarities and differences between science, applied mathematics and pure mathematics,
  • open source software and cost of knowledge,
  • ethical aspects of data science, mathematical modelling, cryptography and financial mathematics,
  • errors in research mathematics, automated and interactive theorem proving,
  • diversity among mathematicians.

Instruction

Strong emphasis on project work, but also lectures and discussion seminars.

Assessment

Active participation in seminars (1 credit). Project work and oral presentation (4 credits).

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

Reading list

Reading list

Applies from: Autumn 2022

Some titles may be available electronically through the University library.

  • Halmos, Paul R. How to talk mathematics

    Part of:

    Halmos, Paul R. Sarason, Donald; Gillman, Leonard Selecta : II Expository writings

    New York: Springer, [2014]

    Find in the library

  • Halmos, Paul R. How to write mathematics

    Part of:

    Halmos, Paul R. Sarason, Donald; Gillman, Leonard Selecta : II Expository writings

    New York: Springer, [2014]

    Find in the library

  • O'Neil, Cathy Weapons of math destruction : how big data increases inequality and threatens democracy

    London: Penguin Books, 2017.

    Find in the library

  • Vivaldi, Franco. Mathematical writing

    London: Springer, c2014.

    Find in the library

Last modified: 2022-04-26