Mathematics 2 / Mathematics 2

The Academic Board of Business Administration, Odense
Teaching activity id: 8211801.
Teaching language: English.ECTS / weighting: 5 ECTS / 0.083 full-time equivalent.
Examination language: English.
Exam activity id: 8211802.Approved: 03-11-17.
Period: Spring 2018.
Grading: Internal grading.
Assessment: 7-point scale.
Offered in: Odense.
Subject director:
Professor Anders Yeo, IMADA.

Prerequisites:
Knowledge corresponding to the first half of the course in Tools for Quantitative Analysis.

Purpose:
The purpose of the course is to give the student insight and practical skills within the theory, methods and techniques of linear algebra that are used elsewhere in the study programme, for example in Operations and Supply Chain Management and in Corporate Finance and Financial Investments.

Content - Key areas:
Linear systems of equations, matrices and vectors, eigenvalues and eigenvectors. Applications to quadratic forms, approximation of general systems of equations by linear systems of equations and linear programming.

Goals description (SOLO taxonomy):
At the end of the course, the student is expected to be able to:

  • apply mathematical theories and results to solve exercises within linear algebra,
  • explain, and correctly argue for, the steps in the solution,
  • judge whether obtained results seem correct or not.

With respect to the different types of exercises, the student is expected to be able to:
  • solve linear systems of equations using the method of elimination, investigate whether there is no solution, one unique solution, or infinitely many solutions to such a system, and provide the full solution;
  • find the number of excessive equations and the degrees of freedom for a linear system of equations;
  • determine the rank of a matrix;
  • determine whether a set of vectors is linearly dependent or independent, and determine a maximum linearly independent subset thereof;
  • add and multiply matrices and determine as to whether a given matrix is invertible and, if so, find the inverse;
  • calculate the determinant of a matrix and use determinants to find the properties of linear systems of equations and matrices;
  • determine the adjoint of a matrix and use it to find the inverse;
  • solve Leontief input-output problems;
  • find the eigenvalues and eigenvectors of a matrix, and use these to diagonalise the matrix;
  • determine as to whether a matrix is positive or negative semi-definite or indefinite;
  • diagonalise a quadratic form;
  • apply linear approximation to a general system of equations and to differentiate implicitly by solving a linear system of equations.

Literature:
Will be announced at the beginning of the semester.

Time of classes:
Spring.

Scheduled classes:
2 lecture hours and 2 exercise hours per week in 15 weeks.


Form of instruction:
The student is expected to gain knowledge of the course subjects through independent study of the course literature. These studies are supported by lectures. The purpose of the lectures is to give an overview of the curriculum and to facilitate the understanding of complicated subject areas. Students are also expected to prepare for the exercise classes, where concrete pre-assigned problems will be discussed and solved.

These activities translates into an estimated allocation of time for an average student in the following way:

Lectures: 30 hours.
Exercises: 30 hours.
Preparation: 60 hours.
Home assignments: 15 hours.
In total: 135 hours.

Time of examination:
Ordinary examination in June.
Re-examination in August.

The form for the re-exam is subject to change. This will be announced 14 days before the reexam takes place.

Registration for the course is automatically a registration for the ordinary examination in the course. Cancellation is not possible. If the student does not participate in the examination, the student will use one examination attempt.

Examination conditions:
None.

Form of examination for the certificate:
Written (PC).

Supplemental information for the form of examination:
Duration: 4 hours.
Location: Examination room at the University. Examination takes place using the student's own computer being able to access the University wireless network.
Internet Access: Necessary.
Hand out: In the examination room.
Hand in: Via SDU-assignment in the course page in Blackboard.
Extent: No limitations.
Exam Aids: All aids allowed. It is not allowed to communicate with other persons during the exam.

Programmes:
BSc. Economics and Business Administration - Business Management
2nd semester, mandatory. Offered in: Odense