EMPE2000 Mathematics 2000 Course description

No coursework requirements.

The course builds on EMFE1000 Mathematics 1000.

The assessment consists of an individual home exam/academic paper over five days, of 3000 words (+/- 10 %).

Resit/rescheduled exam The resit/rescheduled exam is organised in the same way as the ordinary exam.

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:

• describing and explaining how sequences can be derived through sampling (measurement), with the use of formulas, and to solve differential equations
• explaining the interpolation problem, and using methods of polynomial and spline interpolation
• explaining the method of least squares for fitting functions to given data
• solving differential equations with constant coefficients of a degree less than or equal to two, both analytically and by simulation
• explaining what is meant by a series and what it means when a series converges
• explaining the Taylor series such as a power series, and differentiating and integrating terms
• calculating Taylor polynomials and calculating the error using the remainder
• explaining how functions can be approximated using Fourier series
• explaining different methods of presenting functions of two variables graphically and discussing the advantages and disadvantages of these methods
• calculating partial derivatives of the first and higher orders
• explaining what the value of the first order partial derivative means
• explaining the geometric interpretation of gradient and directional derivatives
• explaining how to use the extreme value theorem
• explaining what is meant by the differential of a function of two variables
• determining the uncertainty and relative uncertainty of a parameter that depends on several variables

Skills

The student is capable of:

• discussing methods of interpolation and fitting functions
• discussing how functions can be approximated using series
• discussing how a function of two variables can be approximated using a linear function and then used to determine the uncertainty of measurements
• discussing a method for determining and classifying stationary points and determining the extreme values of functions of several variables

General competence

The student is capable of:

• translating a practical problem from his/her own professional field into mathematical expressions, so that it can be solved analytically or numerically
• assessing, for a given problem, whether it is most expedient to decide on an analytical or numerical solution
• assessing the quality of numerical solutions, for example by calculating error bounds or by comparisons with analytical solutions
• using the programming elements assignment, for loops, if testes, while loops etc. for solving mathematical problems numerically
• assessing his/her own academic work and that of other students, and formulating written and oral assessments of these works in an academically correct and precise manner
• writing precise explanations and reasons for using procedures, and demonstrating the correct use of mathematical notations

The grades pass/fail are used.

All submitted papers will be assessed by two internal examiners. In accordance with the Guidelines for Appointment and Use of Examiners at OsloMet, the mode of assessment will periodically be reviewed by an external programme supervisor.

The course introduces different approaches and theories about economic and social development, including present mainstream directions based on neoliberalism, economic growth, technological changes, and market-solutions in combination with governmental regulations. There is also a focus on the history of ideas of development as well as demonstrated practices, and the students are introduced to the history of economic growth and crises.

In the topic of environmental and climate change we focus on explanations of the gradually evolving environmental and climate crises, with discussion of concepts such as ‘the anthropocene’ and ‘the capitalocene’, as well as examination of the broad spectre of different approaches to sustainable development. Green change choices are introduced, such as green growth/green economy and various versions of Green New Deal, ecomodernisation, and degrowth. The agenda of the United Nations Sustainable Development Goals (SDGs) is discussed in terms of the emphasised goals and strategies. The course introduces the students to the academic debate on whether or not decoupling between economic growth and global warming is possible. The students learn how to critically examine consequences of different climate mitigation options for climate justice for future generation and with special and social variations of consequences for people today.

This course highlights and critically examines characteristics of the mainstream approach to mass education, seeking to produce ‘good workers’ and ‘good citizens’, underpinned by human capital theory and promises of poverty reduction through education. The Global-Local dialectic at play is explored in the ‘education and development’ nexus, and its social, political, economic, and historical context. This includes understandings of how models of education and their curricular and pedagogical systems have historically and continue to be transferred between and within countries, and their relationship to global and local conceptualisations of development. The course includes an examination of how education is approached as one of the SDGs (no. 4), and the ways that the SDGs are presented in the global initiative Education for Sustainable Development (ESD) Project as well as in other academic approaches to education on sustainable development. The review of ESD critically examines the program in terms of its alignment with and/or break from the conditions that generated the problems that the SDGs seek to solve: the global climate crisis, the crises of the anthropocene, cyclical and cumulative crises of the global economy, poverty, and significant crises and failures of international education.

Throughout the course, opportunities are created to consider the focused issues at multiple levels of scale (local, regional, national, global) and across time. Student assignments in the course may include consideration of: Mainstream and alternative theories and approaches of development, green change, climate mitigation options, and alternative approaches to mass education and its purposes.

All aids allowed.

A grade scale with grades from A to E for pass (with A being the highest grade and E being the lowest pass grade) and F for fail is used for the final assessment.

One internal examiner. External examiners are used regularly.