_Discrete mathematics
__• Recursion and induction
__• Graphs
__• Relations
_• Algebra (groups, rings and fields) _Mathematical statistics
__• Descriptive statistics
__• Point estimation
__• Confidence interval
__• Hypothesis testing
_• Simulation
IX1305 Mathematics III 7.5 credits
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Course syllabus as PDF
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Course syllabus IX1305 (Autumn 2008–)Content and learning outcomes
Course contents
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
Literature
Examination and completion
Grading scale
Examination
- TEN1 - Examination, 4.5 credits, grading scale: A, B, C, D, E, FX, F
- LAB1 - Laboratory Work, 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.
If the course is discontinued, students may request to be examined during the following two academic years.
Other requirements for final grade
Written exam 3pLaborations 2p
Examiner
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.