Course - Advanced Calculus - SØK3004
SØK3004 - Advanced Calculus
About
Examination arrangement
Examination arrangement: School exam
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| School exam | 100/100 | 5 hours | C |
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. The course has compulsory activity. Specific requirements will be announced at the beginning of the term.
Compulsory assignments
- Approved term paper(s)/exercise(s)
Recommended previous knowledge
Bachelor's degree in Economics or the equivalent
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 |
No
Version: 1
Credits:
15.0 SP
Study level: Second degree level
Term no.: 1
Teaching semester: AUTUMN 2023
Language of instruction: Norwegian
Location: Trondheim
- Financial Economics
- Economics
- Social Sciences
Examination
Examination arrangement: School exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD School exam 100/100 C 2023-12-08 09:00 INSPERA
-
Room Building Number of candidates SL310 blå sone Sluppenvegen 14 48 SL310 turkis sone Sluppenvegen 14 59 SL310 hvit sone Sluppenvegen 14 6 SL515 Sluppenvegen 14 4 - Spring ORD School exam 100/100 C 2024-05-25 09:00 INSPERA
-
Room Building Number of candidates SL311 brun sone Sluppenvegen 14 19
- * 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.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"