COURSE SYLLABUS

Mathematics II for Technicians 7.5 Credits

Matematik II för bergsskoletekniker
First cycle, B0002M
Version
Course syllabus valid: Autumn 2017 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.

Syllabus established
by Dept TVM Mats Näsström 03 Apr 2012

Last revised
by Mats Näsström 16 Jun 2017

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 Mathematics I for Technicians B0001M or equivalent.


More information about English language requirements


Selection

The selection is based on 1-165 credits.



Course Aim

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

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

  • handle and manipulate rational expressions, polynomial and power functions to solve technical problems
  • use and interpret exponential functions and graphs that are utilized in e.g. building acoustics, metal cutting processes and other technical applications
  • understand and use the derivative for technical applications such as optimization of design, calculating diffusion and reaction velocities or estimating the concentration gradients for diffusion and stiffening in metal production
  • use trigonometry for arbitrary triangles in point positioning in geodetic measurements or metrological estimations within manufacturing technology
  • use integrals to calculate the work done in thermo dynamical processes
  • work with a graphical calculator

Contents

Trigonometry: uniformity, sine-, cosine and tangent of an angle, arbitrary triangles.

Functions: the symbol y = f (x), quadratic functions, inequalities, exponential- and logarithmic functions, the concept of radians, trigonometric equations.

Derivatives: the rate of change, applications of derivatives, increasing and decreasing functions, the second derivative, extreme value problems, the smallest and greatest value,

differentiation rules.

Integrals: definition, calculation of integrals and areas.

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 MA1012.


Examiner
Ove Edlund

Literature. Valid from Autumn 2014 Sp 1 (May change until 10 weeks before course start)
Croft, Anthony., Davison. Robert. (2006) Foundation maths. 5 uppl. New York : Pearson Education. (523 s). ISBN 9780273730767

Course offered by
Department of Engineering Sciences and Mathematics

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