course-details-portlet

SØK3004 - Advanced Calculus

About

Examination arrangement

Examination arrangement: Home exam
Grade: Passed / Not Passed

Evaluation Weighting Duration Grade deviation Examination aids
Home exam 100/100 4 hours

Course content

The course provides the students with the basic mathematical skills necessary to understand central analytical methods in economic theory. The main part of the course covers mathematical analysis with multivariable functions, with applications for theories of consumption and production. In addition, the course consists of integration, differential equations and linear algebra.

Learning outcome

Knowledge

You learn 

  • about definite and indefinite integrals of one variable and several variables, techniques for solving integrals (integration by parts and integration by substitution) 
  • how geometric series can be used in financial mathematics
  • linear algebra, including addition and multiplication of vectors and matrices, geometric interpretation of vectors, solution of linear systems of equations, linear independence, rank of matrices, determinants, eigenvalues and eigenvectors 
  • about first-and second-order differential equations, phase plane analysis and directional diagrams, systems of differential equations, saddle points, simple difference equations 
  • about optimization of functions defined over multiple variables with and without constraints, how to determine whether extreme points are minimum, maximum or saddle points 
  • about production technology, cost minimization and cost function, profit maximization and profit function, utility functions and consumer theory

Skills

You should be able to 

  • determine fairly complicated integrals 
  • calculate present values and find the annuity for an annuity loan 
  • use linear algebra to solve linear systems of equations, compute determinants, find the rank of matrices and find the eigenvalues and associated eigenvectors
  • solve and analyze first-and second-order differential equations, including systems of differential equations 
  • find optimum for static optimization problems, and apply optimization on microeconomic issues

General competence

You should be able to

  • use mathematics as a tool to analyze economic issues
  • apply mathematics in quantitatively oriented courses, such as macroeconomics, econometrics and finance

Learning methods and activities

4 hours of lectures every week, and 2 hours of practical assignments every week. Compulsory activity: Approved term paper(s)/ exercise(s). Specific requirements will be announced at the beginning of the term.

Compulsory assignments

  • Approved term paper(s)/exercise(s)

Required previous knowledge

None

Course materials

Announced at the beginning of the term.

Credit reductions

Course code Reduction From To
MA0002 5.0 AUTUMN 2014
More on the course

No

Facts

Version: 1
Credits:  15.0 SP
Study level: Second degree level

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2021

Language of instruction: Norwegian

Location: Trondheim

Subject area(s)
  • Financial Economics
  • Economics
  • Social Sciences
Contact information
Course coordinator:

Department with academic responsibility
Department of Economics

Examination

Examination arrangement: Home exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Autumn ORD Home exam (1) 100/100

Release
2021-12-17

Submission
2021-12-17


09:00


13:00

INSPERA
Room Building Number of candidates
Spring ORD Home exam 100/100

Release
2022-05-18

Submission
2022-05-18


09:00


13:00

INSPERA
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
  • 1) Merk at eksamensform er endret som et smittevernstiltak i den pågående koronasituasjonen.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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