Mathematics 2: Calculus and Linear Algebra

Knowledge
You should know

• functions of one and several variables and optimization with or without constraints (introducing inequality constraints)
• integration and differential equations
• linear algebra in terms of vectors and matrices, with applications to and linear equation systems

Skills
You should be able to

• solve more sophisticated calculus problems than what is covered in ECON2200
• aggregate quantities using methods of integration, and analyze dynamic models formulated as differential equations.
• linearize nonlinear models
• formulate linear models in a compact notation, manipulate them in an efficient manner and solve linear equations algorithmically using the theory on linear algebra

Competence
This course should enable you to

• read and understand the notation and analyses of a wide class of models in the scientific literature , including multivariate models
• formulate and formalize a wider range of models than what is covered in ECON2200
• analyze such models in your own academic work, for example in analyses that are part of the master¿s thesis

ECON2200 - Matematikk 1/Mikro 1 (MM1) or equivalent courses with mathematics corresponding to Mathematics 1 in ECON2200 - Matematikk 1/Mikro 1 (MM1)

Students at UiO must apply for courses in StudentWeb.

International applicants, if you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures for international applicants.

The examination in this course is not available for external candidates. Only students admitted to the course may sit for the examination.

Lectures: 4 hours per week throughout the semester.

Seminars: 2 hours per week through parts of the semester.

Information about changing seminar group

There might occur weeks exempt from teaching

From autumn 2018 the course will only be given in the autumn.

From autumn 2018 the course will only be given in the autumn.

The examination will be a 4-hour written school exam.

You must have passed the compulsory activities in order to sit for the exam.

Previous exams and examiner guidelines

Exam papers with comments from examiner

Resources allowed: Open book examination where all printed and written resources, in addition to calculator, are allowed.

You can usually resit an exam, but the conditions depend on whether you had a valid reason for absence from the regular exam. Read more about resitting an exam.

The Department of Economics has passed following resolution for ECON-courses: It will no longer be possible for candidates to register for an exam in a lower level course after having passed exams in intermediate and advanced level courses in the same subject area (also where there are no pre-requisites that apply to the intermediate course). Further information can be found here.

Students who might wish to retake the exam later, are not guaranteed that the course is ever repeated with a similar reading list, nor that the exam arrangement will be the same.

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

The problem set will be given in English and Norwegian. Answers can be given in Norwegian, Swedish, Danish or in English. See § 6.4 i Forskrift om studier og eksamener ved Universitetet i Oslo .

Other

This is a master's level course, but still open for bachelor's students with sufficient background in mathematics.

ECON3120 - Mathematics 2: Calculus and linear algebra is the course code for the bachelor's students.

ECON4120 - Mathematics 2: Calculus and linear algebra is the course code for the master's students.

You may request an explanation of your grades, and you may also appeal against your grades or make a complaint about formal examination errors. Read more about explanations and appeals.

Explanations and complaints over grades at the Department of Economics

Evaluation

A periodic evaluation of ECON3120/4120 - Mathematics 2: Calculus and linear algebra was conducted during spring term 2007. You can find the evaluation report that was compiled on the basis of the information retrieved from the evalution, here .
Norsk språkversjon av sluttrapporten finner du her .

evaluering-av-emnet evaluering-emne (rediger)
Feedback from our students is essential to us in our efforts to ensure and further improve the high quality of our programmes and courses. As a student at the University of Oslo you will therefore be asked to participate in various types of evaluation of our courses, facilities and services. All courses are subject to continuous evaluation. At regular intervals we also ask students on a particular course to participate in a more comprehensive, in-depth evaluation of this course, a so called "periodic evaluation".

Overlapping courses

ECON4120 is the coursenumber for the master students. ECON3120 is the coursenumber for the bachelor students.

Please visit the webpage of ECON4120 for information about the syllabus/reading list!

Kursbeskrivelse/ Course description:

Kurset inneholder bl.a. elementær lineær algebra, løsning av likningssystemer, teori for funksjoner av flere variabler, inklusive maksimering og minimering, både med og uten bibetingelser, samt integrasjon. I flere av disse emnene utdypes de kunnskapene studentene har fått i kurset ECON2200 Matematikk 1/Mikroøkonomi 1.

Among other things, the course contains elementary linear algebra, the solution of equation systems, the theory of functions of several variables, including both unconstrained and constrained optimization, and integration. In several of these topics the course extends the contents of ECON2200 Mathematics 1/Microeconomics 1.

If you have a disability or a health problem that entails significant inconvenience in an examination situation, you may be considered for special examination arrangements. Mothers who are breastfeeding may apply for extra time to complete the exam.

A student may sit this exam up to 3 times. If a student wishes to withdraw from the exam, s/he must do so in StudentWeb at least two weeks prior to the first day of the exam. Failure to do so will be counted as one of the three opportunities to sit the exam.