BYPE2000 Mathematics 2000 Course description

This course, together with Mathematics 1000, will give the students an understanding of mathematical concepts, problems and solution methods with the focus on application. Students will practise using mathematical software in the work on the course, which will enable them to carry out calculations in a work situation.

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
• explaining the concept of convergence and methods of determining convergence
• explaining power series representation of functions and convergence using Taylor polynomials
• discussing functions of multiple variables and applying partial derivatives to different problems

Skills The student is capable of:

• calculating eigenvectors and diagonalising matrices
• applying diagonalisation of matrices to solve systems of differential equations
• determining convergence of series, among other things by using the ratio test, and differentiation and integration of power series parts
• finding Maclaurin series and convergent polynomials of known functions and using Taylor polynomials to find approximate values for integrals and limiting values
• describing and discussing functions of multiple variables using, among other things, level curves and partial derivatives
• interpreting the gradient and the directional derivative geometrically and using linear approximation and the total differential for functions in multiple variables to calculate measurement errors and uncertainty
• determining and classifying critical points in functions of two variables
• applying mathematical tools to matrices, series and functions of two variables

General competence

The student is capable of:

• identifying the connection between mathematics and his/her own field of engineering
• translating a practical problem from his/her own field into mathematical form, so that it can be solved analytically or numerically
• using mathematical methods and tools of relevance to his/her field

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.

None.

The objective of the course is to strengthen students’ ability to contribute to and manage value creation in organisations. This is an introductory course covering key subjects that enable students to understand value creation, the operation of and challenges facing organisations. The intention is for students to gain a basic understanding of what an enterprise is and how it works. Key subjects covered in the course include management, strategy, finance, organisation and entrepreneurship.

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:

• understanding how organisations create value
• explaining key management and organisation principles
• explaining and understanding the main elements of business economics
• performing a basic interpretation and analysis of accounts and budgets
• explaining key terms linked to innovation and entrepreneurship
• identifying the possibilities and challenges associated with starting your own enterprise
• explaining basic marketing terms

Skills

The student is capable of:

• familiarising themselves with and understanding how an enterprise works
• performing profitability analyses and assessing financial risk
• devising a business or project plan
• exercising awareness of an enterprise’s ethical challenges and corporate social responsibility

General competence

The student is capable of:

• familiarising themselves with an enterprise and working life
• addressing financial, ethical and social considerations
• seeing the interdisciplinary context across an organisation

Lectures, project work (individually or in groups [of max. four students]), supervision, presentations, exercises.

The following coursework is compulsory and must be approved before the student can sit the exam:

Two compulsory assignments

• • Two submission of written assignments, each containing sub-submissions