GRA 6035 Mathematics

GRA 6035 Mathematics

Course code: 
GRA 6035
Department: 
Economics
Credits: 
6
Course coordinator: 
Eivind Eriksen
Product category: 
Master
Portfolio: 
MSc - Core course
Semester: 
2017 Autumn
Active status: 
Active
Teaching language: 
English
Course type: 
One semester
Introduction

The language of mathematics is extensively used to analyse problems in economics and finance, and mathematical models, theories, and methods are extensively used to solve problems. The mathematical requirements of a graduate student go beyond the material usually taught in undergraduate courses, and this course will teach the beginning graduate student more advanced mathematical models, theories, and methods. In particular, it will introduce the students to coding using Excel. The course is taught in the first semester of the master programme. Topics include linear algebra and matrix methods, optimisation in several real variables, and differential and difference equations.

Learning outcomes - Knowledge

After completing the course, the student will have advanced knowledge of mathematical concepts, models, theories, and methods. The student will have an advanced understanding of linear algebra and matrix methods, optimisation in several real variables, and differential and difference equations, and specialized understanding of how these mathematical models and methods can be used in economics and finance.  

Learning outcomes - Skills

After completing the course, the student will be able to analyse quantitative problems using the mathematical language, and be able to use mathematical models and methods to solve these problems. The student will be able to assess solution strategies, be able to carry out necessary computations correctly and precisely, and to use Excel to model, solve and visualize differential and difference equations. The student will be able to give mathematical arguments for his conclusions, and be able to formulate written answers that explain the methods used and interpret the solutions obtained. The students will be able to see connections between mathematics and other subjects, especially economics and finance. 

Learning outcomes - Reflection

After completing the course, the student will be able to reflect upon central assumptions for the models and theories used, and critically assess if they are met in applications. The student will be capable of critical thinking. The student will be able to reflect upon the results obtained, and critically assess if they are reasonable.

Course content
  • Linear algebra and matrix methods
  • Optimisation in several real variables
  • Differential and difference equations
Learning process and requirements to student

The course is taught over one semester, and consists of lectures (36 hours) and plenary problem solving sessions (12 hours).   

For each lecture, there will be a work program consisting of exercises and reading assignments. The student must learn the material presented in the reading assignments, and work through the exercises. Some of the exercises will be reviewed in lectures and plenary problem solving sessions. It is assumed that the student has worked with the exercises in order to take full advantage of the review. By allocating some time in class to short assignment related to new topics, students will be activated and learning objectives achieved.

Wolfram Alpha is used in lectures and problem solving sessions to illustrate taught material. Excel will be used to model, solve and visualize linear differential and difference equations. 

All parts of the assessment must be passed in order to get a grade in the course.

Software tools
No specified computer-based tools are required.
Qualifications

All courses in the Masters programme will assume that students have fulfilled the admission requirements for the programme. In addition, courses in second, third and/or fourth semester can have specific prerequisites and will assume that students have followed normal study progression. For double degree and exchange students, please note that equivalent courses are accepted.

Exam categoryWeightInvigilationDurationSupport materialsGroupingComment exam
Exam category:
Submission
Form of assessment:
Structured test
Exam code:
GRA60352
Grading scale:
ECTS
Grading rules:
Internal examiner
Resit:
-
20Yes1 Hour(s)
  • BI-approved exam calculator
  • Simple calculator
  • Bilingual dictionary
Individual Multiple choice examination

The retake in this course is scheduled for January. There will be no retake in the ordinary exam period.
Exam category:
Submission
Form of assessment:
Written submission
Exam code:
GRA60353
Grading scale:
ECTS
Grading rules:
Internal and external examiner
Resit:
-
80Yes3 Hour(s)
  • BI-approved exam calculator
  • Simple calculator
  • Bilingual dictionary
Individual Final written examination with supervision.

The retake in this course is scheduled for January. There will be no retake in the ordinary exam period.
Exams:
Exam category:Submission
Form of assessment:Structured test
Weight:20
Invigilation:Yes
Grouping (size):Individual
Support materials:
  • BI-approved exam calculator
  • Simple calculator
  • Bilingual dictionary
Duration:1 Hour(s)
Comment:Multiple choice examination

The retake in this course is scheduled for January. There will be no retake in the ordinary exam period.
Exam code:GRA60352
Grading scale:ECTS
Resit:-
Exam category:Submission
Form of assessment:Written submission
Weight:80
Invigilation:Yes
Grouping (size):Individual
Support materials:
  • BI-approved exam calculator
  • Simple calculator
  • Bilingual dictionary
Duration:3 Hour(s)
Comment:Final written examination with supervision.

The retake in this course is scheduled for January. There will be no retake in the ordinary exam period.
Exam code:GRA60353
Grading scale:ECTS
Resit:-
Exam organisation: 
Ordinary examination
Total weight: 
100
Talis literature

Obligatorisk/Compulsory

Book
Authors/Editors År Tittel Edition Publisher StudentNote
Simon, Carl P.; Blume, Lawrence c1994 Mathematics for economists International student ed Norton  

Anbefalt/Recommended

Book
Authors/Editors År Tittel Edition Publisher StudentNote
Sydsæter, Knut 2005 Further mathematics for economic analysis   Prentice Hall/Finanical Times