ELE 3719 Mathematics elective
APPLIES TO ACADEMIC YEAR 2014/2015

ELE 3719 Mathematics elective
Responsible for the course
Eivind Eriksen
Department
Department of Economics
Term
According to study plan
ECTS Credits
7,5
Language of instruction
Norwegian
Introduction
This course gives an introduction to selected topics in mathematics and probability theory.
Learning outcome
Acquired knowledge
Upon completing this course, the student should have acquired mathematical knowledge in selected topics that are important for finance, economics and statistics. The student should:
 Know important concepts in linear algebra and vector calculus, such as matrices, vectors, determinants and quadratic forms, and know how to use these in optimization and multivariate statistics.
 Understand probability models from a mathematical point of view.
 Know the concept differential equation, and know how differential equations can be used for modelling.
 Understand foundations of calculus of variations, and know how calculus of variations can be used in economics.
Acquired skills
Upon completing this course, the student should have acquired skills including:
 Mastery of calculations with matrices, vectors and determinants, find eigenvalues and eigenvectors, and ability to use this in applications.
 Ability to compute with probabilities and probability models in one or several variables, and to use this in applications.
 Ability to solve selected types of differential equations, with and without initial conditions.
 Ability to solve selected optimization problems using calculus of variations.
Reflection
Upon completing this course, the student should have strengthened his/her analytical thinking, and have realized the value of precise and systematic work.
Prerequisites
The course builds directly on MET 1180 Mathematics.
Compulsory reading
Books:
Stirzaker, David. 1999. Probability and random variables : a beginner's guide. Cambridge University Press. Kapittel 16
Recommended reading
Books:
Sydsæter, Knut ... [et al.]. 2008. Further mathematics for economic analysis. 2nd ed. Financial Times/PrenticeHall. Kap. 1, 56, 8
Course outline
 Linear algebra and vector calculus
 Probability models
 Differential equations
 Calculus of variations
Computerbased tools
Not used in this course.
Learning process and workload
The course has 45 hours of lectures. There will be work programmes with problems that the student should solve. Some of the problems will subsequently be solved in class.
Some time in class will be set aside for the students to work on basic problems in topics recently covered in lectures. This will activate the students and increase the learning outcome through the presentation of solutions to the problems.
Activity  Workload 
Participation in class  45 
Independent work on problems  100 
Reading of literature  50 
Examination  5 
Total recommended use of time  200h 
Examination
A five hour individual written examination concludes the course.
Examination code(s)
ELE 37191  Wiritten examination, accounts for 100% of the final grade in ELE 3719 Mathematics elective  7.5 credits.
Examination support materials
BIdefined exam calculator is allowded at the written exam. TEXAS INSTRUMENTS BA II Plus™
Examination support materials at written examiniations are explained under examination information in the student portal @BI. Please note use of calculator and dictionary. https://at.bi.no/EN/Pages/Exa_Hjelpemidlertileksamen.aspx
Resit examination
A resit is held in connection with the next scheduled course.
Additional information
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