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COURSE SYLLABUS

Mathematics I for Technicians 7.5 Credits

Matematik I för bergsskoletekniker
First cycle, B0001M
Version
Course syllabus valid: Autumn 2017 Sp 1 - Autumn 2019 Sp 2
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


More information about English language requirements


Selection

The selection is based on final school grades or Swedish Scholastic Aptitude Test.



Course Aim

The students should develop their ability to understand and use mathematical concepts and models as tools within technique applications.

After completion of the course the student is expected to be able to:

  • handle and manipulate algebraic expressions which may arise in technique applications
  • understand and use linear equations to draw and interpret graphs as well as adapt graphs to data within technical areas
  • use systems of equations to solve e.g. stoichometrical calculations for chemical reactions
  • handle and manipulate 2nd degree equations and expressions to solve problems such as calculation of surface roughness during machining, or calculation of pump’s performance
  • use functions as models for actual production processes
  • apply trigonometrical principles of a right triangle to calculate e.g. surface tension of fluids and molten compounds, angles used in construction, or forces and loads on machine parts or buildings
  •  use statistical distributions to understand and apply statistical process control
  • work with a graphical calculator

Contents

Algebraic expressions, linear equations, variables and formulas.

Polynoms, conjugate- and square rules, factorisation, rational expressions, quadratic equations, division of algebraic expressions.

Analytical geometry: the distance rule and straight lines.

Functions: the symbol y = f (x), quadratic functions, inequalities

Basic trigonometry: Pythagorean Theorem, sine-, cosine and tangent of a right triangle

Statistics and statistical distributions

Technical applications


Realization

Lectures and exercises.


Examination
Written examination.

Remarks

The course cannot be used as part of the Högskole Engineer Degree or BSc Degree.

The course corresponds to MA1011.


Examiner
Ove Edlund

Literature. Valid from Autumn 2015 Sp 2 (May change until 10 weeks before course start)
Croft, Anthony., Davison. Robert. (2006) Foundation maths. 5 uppl. New York : Pearson Education. (523 s). ISBN 0-131-97921-3

Course offered by
Department of Engineering Sciences and Mathematics

Items/credits
NumberTypeCreditsGrade
0001Written exam7.5G U 3 4 5

Syllabus established
by Dept TVM Mats Näsström 03 Apr 2012

Last revised
by Mats Näsström 16 Jun 2017