DAPE2000 Mathematics 2000 with Statistics Course description

This course, together with Mathematics 1000, will give students an understanding of mathematical concepts, issues and solution methods with the focus on applications. The course will also give students an understanding of concepts in statistics and probability theory, problems and solution methods with the focus on applications in their own field and in the engineering field in general.

A bachelor's degree. The minimum academic requirement for admission is the grade C, in accordance with Regulations Relating to Admission to Master's Degree Programmes at OsloMet.

No requirements over and above the admission requirements.

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:

• using linear algebra to determine eigenvalues and solving systems of differential equations and solving second order linear differential equations with constant coefficients
• discussing functions of multiple variables and apply partial derivatives to various problems
• explaining convergence and power series representations of functions
• explaining key concepts in set theory, probability theory, parameter estimation, hypothesis testing and choice of model
• explaining normal, binomial, Poisson and exponential probability distributions, as well as typical problems to which they can be applied

Skills

The student is capable of:

• calculating eigenvectors and diagonalising matrices
• applying diagonalisation of matrices to solve systems of differential equations
• determining the convergence of series using the ratio test, and finding the Taylor series of known functions
• describing and discussing functions of multiple variables using e.g. level curves and partial derivatives
• determining and classifying critical points of functions of two variables
• applying statistical principles and concepts from their own field
• basic calculus of probability with discrete and continuous probability distributions and parameter estimation
• calculating confidence intervals and testing hypotheses
• applying mathematical tools to matrices and functions of two variables

General competence

The student is capable of:

• identifying the connection between mathematics and their own field of engineering
• transferring a practical problem from their own field into mathematical form, so it can be solved analytically or numerically
• using mathematical methods and tools that are relevant to the field
• using statistical ways of thinking to solve problems in engineering and communicating them orally and in writing
• solving problems in engineering by use of probability calculations, statistical planning of trials, data collection and analysis

The course is taught through joint lectures and exercises. In the exercise sessions, the students work on assignments, both individually and in groups, under the supervision of a lecturer.

For the main assessment, the students may choose one of two term papers. Both exam alternatives can be solved individually or in cooperation with one other student. If it is a cooperation between two students, the required length and scope of both alternatives for assessment will be expanded, in agreement with the course supervisor.

Either

• A journalistic product relevant to climate change, selected in agreement with the course supervisor. The journalistic product can be developed either in text/sound/video or photo, or a combination. The length will be agreed upon with the supervisor, but approximately 5-6 pages + images for an article (digital/print), 8-12 minutes for radio/sound, 4 minutes for TV/video and 8 images for a photo article.
• The journalistic product is to be accompanied by a reflection paper of 5-10 pages, discussing the journalistic work on a theoretical level supported by the course syllabus. Font and font size reflection paper: Arial or Calibri 12 points. Line spacing: 1.5.

Or

• An analytic, theory-based paper investigating a limited media output where global climate change is covered in a particular way. Length: 12-15 pages. Font and font size: Arial or Calibri 12 points. Line spacing: 1.5.

The term papers may be written in Norwegian, any Scandinavian language or English.

All aids are permitted, as long as the rules for source referencing are complied with.

Aids enclosed with the exam question paper, and 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.

Grade scale A-F.

One internal examiner. External examiners are used regularly.

This course overlaps 5 ECTS with MEK2200 and MEK2000.