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Valid for year : 2007
 
NMAA03 Mathematics, 6 ECTS credits.
/Matematik, fortsättningskurs/

For:   Bio   Kem  

 

Prel. scheduled hours: 60
Rec. self-study hours: 100

  Area of Education: Science

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

Aim:
The aim of the course is to give the students basic proficiency in the multivariable calculus needed for their further studies in chemistry, especially physical chemistry. After fulfilling the course the student should be able to perform elementary calculations in the areas specified below. Thus, the student should be able to
  • perform the elementary arithmetic operations on vectors
  • calculate the dot and vector product and apply this to elementary problems concerning lines and planes
  • calculate partial derivatives of elemtary functions and compositions of these in several variables
  • calculate tangent lines and tangentplanes of level curves, level surfaces and function surfaces.
  • use the chain-rule to perform change of variables in simple differential operators
  • calculate the differential of a function and use it to estimate the error propagation in an approximation
  • calculate the stationary points of a function of several variables and in basic situations classify them
  • calculate extreme values of functions definied on restricted domains of simple geometry
  • calculate double integrals over triangular and rectangular domains
  • calculate double integrals over circle sectors by using polar coordinates
  • calculate triple integrals over domains shaped as a parallelepiped when represented in either cartesian or spherical coordiantes


Prerequisites: (valid for students admitted to programmes within which the course is offered)


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:
Teaching is done in lectures and problem classes. Theory is followed up by problem-solving by the lecturer. The examination consists of a written test.
Course contents:
Analysis: The elementary functions, inverses, limits. Derivatives and continuity, extremal values. Study of functions. Maclaurin series. Integral calculus and ordinary differential equations.
Linear algebra: Matrices and determinants. Matrix inverse. Systems of linear equations. Eigenvalues and eigenvectors.
Course literature:
R.A Adams: Calculus, a complete course. Addison Wesley
Examination:
Written examination
 4 p
/
6 ECTS
 


Course language is Swedish.
Department offering the course: MAI.
Director of Studies: Göran Forsling
Examiner: Lars Alexandersson
Link to the course homepage at the department


Course Syllabus in Swedish

Linköping Institute of Technology
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Contact: TFK , val@tfk.liu.se
Last updated: 11/26/2007