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HF1003 Mathematics and Statistics 7.5 credits

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Information per course offering

Course offerings are missing for current or upcoming semesters.

Course syllabus as PDF

Please note: all information from the Course syllabus is available on this page in an accessible format.

Course syllabus HF1003 (Autumn 2007–)
Headings with content from the Course syllabus HF1003 (Autumn 2007–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

  • Complex numbers: The complex plane. Modulus and argument. Polar, rectangular and exponential form. Euler´s and de Moivre´s theorems. Binomial equations. Algebraic equations.
  • Differential equations: Separable differential equations. First order differential equations. Linear differential equations with constant coefficients. Applications.
  • Statistics: Descriptive statistics.
  • Sets and combinatorics. Probability theory, basic notations.
  • Sample spaces, dependent and independent events. Conditional probability. The theorem of total probability.
  • Stochastic variables. Expected value, variance and standard deviation.
  • Discrete stochastic variables.
  • Uniform, hypergeometric distribution.
  • The binominal and Poisson distributions.
  • Continuous random variables. Uniform distribution, exponential and normal distribution
  • Functions of random variables. The central limit theorem.
  • Point estimation and interval estimation

Intended learning outcomes

No information inserted

Literature and preparations

Specific prerequisites

Basic knowledge in calculus and linear algebra

Literature

Contact the department for further information.

Examination and completion

Grading scale

A, B, C, D, E, FX, F

Examination

  • TEN2 - Examination, 3.0 credits, grading scale: A, B, C, D, E, FX, F
  • TEN1 - Examination, 3.0 credits, grading scale: A, B, C, D, E, FX, F
  • LAB1 - Laboratory Work, 1.5 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.

If the course is discontinued, students may request to be examined during the following two academic years.

Other requirements for final grade

Passed exams:
(TEN1; 3 cr.), credit rate A-F
(TEN2; 3 cr.), credit rate A-F
Passed lab work (LAB1; 1,5 cr.), credit rate P/F
In total credit rate A-F.

Examiner

No information inserted

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

STH/Basic Science

Main field of study

Mathematics, Technology

Education cycle

First cycle