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COURSE SYLLABUS

Mathematics II - Calculus and linear algebra 7.5 credits

Matematik II - Integralkalkyl och linjär algebra
First cycle, M0043M
Version
Course syllabus valid: Autumn 2021 Sp 1 - Present
The version indicates the term and period for which this course syllabus is valid. The most recent version of the course syllabus is shown first.


Education level
First cycle
Grade scale
G U 3 4 5
Subject
Mathematics
Subject group (SCB)
Mathematics

Entry requirements

In order to meet the general entry requirements for first cycle studies you must have successfully completed upper secondary education and documented skills in English language and The course M0038M Mathematics I - Calculus or equivalent.


More information about English language requirements


Selection

The selection is based on 1-165 credits.



Course Aim

After the course , students should

  • have deepended the knowledge o f and be familiar with key mathematical concepts, methods and logical structures necessary for independent work as an engineer
  • have knowledge in calculus and linear algebra, especially vector- and matrix algebra
  • have developed their capacity for critical reflection , planning and mathematical modeling
  • be able to use mathematics as an effective tool for further studies in mathematics, science, technology and economics and in professional life
  • have basic knowledge in the use of modern computer-aided calculation and algebra systems .

 


Contents

Primitive functions. Integrals . Definitions , properties, computational methods, improper integrals . Applications .
Vector geometry . Systems of linear equations . Matrices and determinants. Eigenvalues ​​and eigenvectors . Computer-aided calculations.


Realization
Each course occasion´s language and form is stated and appear on the course page on Luleå University of Technology's website.

Teaching is through lectures , tutorials and laboratory sessions. Other forms of teaching can occur.


Examination
If there is a decision on special educational support, in accordance with the Guideline Student's rights and obligations at Luleå University of Technology, an adapted or alternative form of examination can be provided.

To pass the course requires an approved individual written exam .
The course is graded .
Required computer laboratory assignments to be reported and approved.


Examiner
Ove Edlund

Literature. Valid from Autumn 2015 Sp 1 (May change until 10 weeks before course start)
Forsling/Neymark: Matematisk analys - En variabel, upplaga 2. Liber AB.
(används även i M0038M)
Lindström, T: Med fokus på linjär algebra, upplaga 2, ISBN 978-91-44-09354-3, Studentlitteratur.

Course offered by
Department of Engineering Sciences and Mathematics

Modules
CodeDescriptionGrade scaleCrStatusFrom periodTitle
0001Written examG U 3 4 56.90MandatoryA10
0002LaborationU G#0.60MandatoryA10

Study guidance
Study guidance for the course is to be found in our learning platform Canvas before the course starts. Students applying for single subject courses get more information in the Welcome letter. You will find the learning platform via My LTU.

Syllabus established
by 19 Feb 2010

Last revised
by Head Faculty Programme Director Niklas Lehto 17 Feb 2021