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Valid for year : 2009
 
BMN130 Mathematics for Foundation Year, 19,5 ECTS credits.
/Matematik för tekniskt/naturvetenskapligt basår/

For:   Bas  

 

Prel. scheduled hours: 170
Rec. self-study hours: 350

  Area of Education: Science

Subject area: Mathematics
  Advancement level (G1, G2, A): 0

Aim:
The course aim is to give a foundation in mathematics and a preparation for further university studies in mathematics. After completion of the course, the student should be able to read and interpret mathemaical text and,
  • handle simple algebraic expression with real and complex numbers.
  • set up and solve equations, linjer system of equations and inequalities.
  • check results and partial results in order to verify their correctness.
  • use basic properties for real functions such as domain and range.
  • explain and use calculus rules/definition for power, logarithm, limits, derivative, antiderivative, integrals and complex number.
  • studie the elementary functions with derivates, limits to draw conclusions regarding the properties of the functions.
  • use standard techniques to calculate antiderivatives and definite integrals.
  • use unit circle to defined trigonometric identities, solve trigonometric equation and graphing trigonometric functions.
  • handle differential equations of first and second order.
Prerequisites: (valid for students admitted to programmes within which the course is offered)
See rules for admisson to the Foundation Year at Linköpings universitet.

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
Organisation:
The couse contains three parts. The teaching take place in groups of 30 students. Some seminars where the student account for each other appears. The students homework, initiativ and activity is of great importance. The examination consists of three written test and hand-in assignments and oral presentation.
Course contents:
Algebra, equations, simplifying expressions, complex numbers and polynomials, geometry and trigonomtry. Elementary functions, derivatives, graphs and extrem values. Primitive functions and integrals with applications. Differential equations with applications.

Course literature:
To be decided for the course starting autumn 2009
Examination:
A written examination on part 1
A written examination on part 2
A written examination on part 3
Oral/written exercises, part 1
Oral/written exercises, part 2
Oral/written exercises, part 3
 6 ECTS
4,5 ECTS
4,5 ECTS
1,5 ECTS
1,5 ECTS
1,5 ECTS
 
After passing all parts of the examination, you will receive a pass grade (3,4 or 5).


Course language is Swedish.
Department offering the course: ITN.
Director of Studies: Clas Rydergren
Examiner: Ingemar Eliasson

Course Syllabus in Swedish

Linköping Institute of Technology
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Contact: TFK , val@tfk.liu.se
Last updated: 06/02/2009