MET 1180 Mathematics
APPLIES TO ACADEMIC YEAR 2014/2015

MET 1180 Mathematics
Responsible for the course
Dag Einar Sommervoll
Department
Department of Economics
Term
According to study plan
ECTS Credits
7,5
Language of instruction
Norwegian
Introduction
Learning outcome
Acquired knowledge
After completing the course, the student will have acquired an understanding of basic algebra, functions on one and two variables, basic financial mathematics, integration and linear algebra.
Acquired skills
After completing the course, the student will have acquired at least the following abilities:
 Understanding basic properties of functions, domain and range of functions, inverse functions, special functions in particular exponential and logaritmic functions.
 Ability to compute the derivative of standard functions that can be expressed as the compositions of rational functions, logarithmic functions and exponential functions.
 Ability to analyze the sign of the derivative of a function and deduce where the function is increasing and where it is decreasing.
 Ability to find maxima and minima of a function from a sign diagram for its derivative or by using the second derivative test
 Understanding the notions of marginal cost, marginal revenue and marginal profit and be able to deduce these as functions.
 Understanding the notion of elasticity and be able to compute it.
 Ability to compute the sum of different types of series and use these in connection with present values and annuities.
 Ability to compute integrals of different kinds of functions using partial integration, substitution and the method of partial fractions.
 Ability to compute partial derivatives of first and second order of functions in two variables
 Know the maximum theorem and be able to find the global maximum and minimum of a function defined on a closed and bounded region in the plane.
 Know how to use implicit differentiation
 Ability to identify the stationary points of a function in two variables and classify these using the second derivative test.
 Ability to use the method of Lagrange multipliers for finding a maximum of a function given one constraint.
 Ability to solve systems of linear equations using matrices.
 Know basic power series expansion of functions.
Reflection
After completing the course the student will have enhanced his analytic skills. The student should also be able to reflect on results of computations and have a critical attitude to their validity.
Prerequisites
Basic knowledge of mathematics equivalent to the admission requirement for the programme.
Compulsory reading
Books:
Sommervoll, Dag Einar. 2012. Matematikk for økonomifag. 2 utg. Gyldendal akademisk
Recommended reading
Books:
Sommervoll, Dag Einar. 2009. Mattespettboka. Gyldendal akademisk
Sommervoll, Dag Einar. 2012. Hjelper til matematikk for økonomifag. 2. utg. Gyldendal akademisk
Other:
I tillegg til litteraturen vil det bli brukt tidligere eksamensoppgaver. Tilgjengelig gjennom BIs eksamensdatabase
Course outline
 Introductory topics
 Functions
 Differentiation and applications
 Exponential and logarithmic functions
 Sequences and series
 Integrals
 Functions of more than one variable
 Linear algebra
Computerbased tools
No specified computerbased tools are required.
Learning process and workload
The course is lectured over one year and consists of an introductory part (36 hours) and an advanced part (48 hours).
Introductory part  Taught throughout the autumn semester.
Advanced part  Starts after the introductory part in autumn and continues in spring term.
For each week there will be exercises and reading assignments. The student must gain knowledge from the material presented in the reading assignments and work through the exercises. Some of the exercises will be reviewed in class the following week. It is assumed that the student has worked on the exercise 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.
Recommended use of hours:
Activity  Introductory part 
Advanced part 
Participation in teaching activities – Introductory part  36 

Preparation for lectures/reading literature  10 

Assignments outside lecture hours  14 

Participation in teaching activities – Advanced part  48 

Preparation for lectures/reading literature  71 

Assignments outside lecture hours  73 

Multiplechoice examination  3 

Written examination  5 

Total recommended use of time  60 
200 
Examination
The final grade in the course is based on following activities:
Individual midterm assignment half way through autumn term. Pass/Fail.
A threehour individual written multiplechoice examination at the end of autumn term. Counts 30 % towards final grade.
A fivehour individual written examination at the end of spring term. Counts 70 % towards final grade.
To obtain final grade all parts must be passed. A resit can be taken in each separate part.
Examination code(s)
MET 11801  Written assignment. Pass/Fail
MET 11802  Multiple choice. Counts 30% towards the final grade in MET 1180 Mathematics, 7,5 credits.
MET 11803  Written exam. Counts 70% towards the final grade in MET 1180 Mathematics, 7,5 credits.
Examination support materials
Multiplechoice examination  All support materials plus calculator TEXAS INSTRUMENTS BA II Plus™ are allowed.
Written examination  Only TEXAS INSTRUMENTS BA II Plus™ are allowed.
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
Resit examination is offered every term.
Additional information
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