EPN-V2

BYPE2000 Mathematics 2000 Course description

Course name in Norwegian
Matematikk 2000
Study programme
Bachelor's Degree Programme in Civil Engineering
Weight
10.0 ECTS
Year of study
2023/2024
Curriculum
FALL 2023
Schedule
Course history

Introduction

The work and teaching methods used will vary somewhat between the courses, but some form of problem-based teaching will often be used. The students will work continuously on solving problems, assignments and developing projects of different kinds. Computers, the internet, the web and other electronic channels and units are used systematically for learning, dissemination, guidance, development and communication purposes.

There will be lectures, exercises with individual and group supervision, coursework requirements (compulsory assignments), group projects, contact with the business community (including guest lectures) and self-study.

The programme concludes in an extensive, independent and practical bachelor’s thesis that is normally given as an assignment from a commercial client.

The course descriptions for the individual courses contain details about the work and teaching methods used on the course. In addition, a detailed teaching plan containing a progress schedule, detailed reading list, deadlines for submitting required coursework and information about teaching and exercises will be drawn up at the start of the semester.

Recommended preliminary courses

The course builds on BYFE1000 - Mathematics 1000.

Required preliminary courses

Information technology is an international subject area. Most of the course literature is in English, and most of the systems, work tools and development environments use English as their working language. Some of the teaching may be in English. The individual course descriptions will state the courses this concerns. The students will thereby gain experience and knowledge of both general and computer-related English.

The programme does not contain special courses with multicultural or general international perspectives. The students are a diverse group as regards their ethnic and cultural backgrounds, however. This means that the students will gain experience of cooperating across cultural and language barriers.

The programme is adapted for internationalisation in that the students can take courses abroad, mainly from the fourth semester. See https://student.oslomet.no/retningslinjer-sensorer

In addition, OsloMet collaborates with institutions in several European countries on an English-language course called European Project Semester (EPS). It is worth 30 credits and is mainly intended for incoming exchange students, but can also be relevant for OsloMet’s own third-year students in the sixth semester. Admission to the course is based on individual application.

Learning outcomes

After completing the course, the student is expected to have achieved the following learning outcomes defined in terms of knowledge, skills and general competence:

Knowledge

The student is capable of:

  • explaining how functions can be approximated by taylor polynomials and power series, explain what it means that a series converge, and differentiate and integrate powerseries.
  • describe the Laplace transform and know about its basic properties
  • describing and explaining how a sequence of numbers can originate by sampling, by using a formulae or as the solution of a difference equation.
  • explaining how to interpolate sampled data.
  • explaining partial differentiation and using different graphical ways to describe functions of two variables
  • calculating eigenvalues and eigenvectors of matrixes and giving a geometrical interpretaions of these values

Skills

The student is capable of:

  • discussing pro and cons using interpolating polynomials, splines and least squares method to interpolate sampled data
  • discussing error barriers when using polynomials to approximate functions
  • using simple tests of convergence of series, for example the ratio test
  • giving a geometrical interpretation of gradient and directional derivative
  • using partial differentiation to calculate and classify critical points of functions of two variables
  • use the Laplace transform to solve simple ordinary differential equations
  • using eigenvalues and eigenvectors to solve systems of differential equations with constant coeffisients 

General competence

The student is capable of:

  • assessing the results of mathematical calculations
  • write precise explanations and justifications to approaces, and demonstrate correct use of mathematical notation
  • using mathematical methods and tools that are relevant to their field of engineering
  • identifying the connection between mathematics and their own field of engineering
  • translating a practical problem from their own field into mathematical form, so that it can be solved analytically or numerically

Teaching and learning methods

Joint lectures and exercise sessions. In the exercise sessions, the students work on assignments, both individually and in groups, under the supervision of a lecturer.

Course requirements

The purpose of OsloMet’s quality assurance system is to strengthen students’ learning outcomes and development by raising the quality at all levels. OsloMet wishes to cooperate with the students, and their participation in quality assurance work is crucial. The overall goals for the quality assurance system include:

  • ensuring that the educational activities, including practical training and the learning and study environment, maintain a high level of quality
  • ensuring that the study programmes are relevant to the professional fields
  • ensuring that the quality continues to improve

For the students, this entails, among other things, student evaluations:

  • course evaluations
  • annual student surveys for all of OsloMet

More information about the quality assurance system is available here: https://student.oslomet.no/regelverk#etablering-studium-evaluering-kvalitetssystem

Assessment

Individual written exam, 3 hours

The result of the exam can be appealed.

Permitted exam materials and equipment

A handheld calculator that cannot be used for wireless communication or to perform symbolic calculations. If the calculator's internal memory can store data, the memory must be deleted before the exam. Random checks may be carried out.

All printed and written aids.

Grading scale

Grade scale A-F.

Examiners

One internal examiner. External examiners are used regularly.

Overlapping courses

Emnet er ekvivalent (overlapper 10 studiepoeng) med MEK2000, EMPE2000, KJPE2000 og MAPE2000. Ved praktisering av 3-gangers regelen for oppmelding til eksamen teller forsøk brukt i ekvivalente emner.