MEK1000 Mathematics 1000 Course description

Through the work in this course, the students will gain insight into areas of mathematics that are important to the modelling of technical and natural science systems and processes. The topics covered are included in engineering programmes across the world and are necessary in order to enable engineers to communicate professionally in an efficient and precise manner and participate in discussions in professional contexts later in the programme.

Written exam under supervision (school exam), 3 hours

None.

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 the use and solution of differential equations in the modelling of practical systems and performing simple analyses of such models
• explaining the concept of functions, the derivative, and the definite and indefinite integral
• explaining the relationship between linear equation systems and practical problems
• solving equations numerically using the bi-section method and Newton method.

Skills:

The student is capable of

• solving separable and linear differential equations with the help of anti-derivation
• solving homogeneous and nonhomogeneous second-order differential equations with constant coefficients
• calculating with complex figures and solving equations with complex solutions
• using basic arithmetic operations for matrices, such as multiplication, addition and inversion
• solving linear equation systems in reduced row echelon form and inversion
• calculating exact values for the derivative and the anti-derivative for certain elementary functions
• using the definite integral to calculate sizes as area and volume
• using derivation for, for example, optimisation and related rates

General competence:

The student is capable of

• transferring a practical problem from their own field into a mathematical form
• writing precise explanations and reasons for using procedures, and demonstrating the correct use of mathematical notation
• using mathematical methods and tools of relevance to the field
• using mathematics to communicate about engineering issues
• explaining how changes and changes per unit time can be measured, calculated, summed up and incorporated into equations

The teaching is organised as lectures, exercises and laboratory course, partly individually, partly in groups and receive instruction from the teacher.

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

• 6-7 individual written assignments.

Admission to the programme.

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

Knowledge

The student can

• explain developmental psychology and modern development theories
• explain behaviour analytic approaches to developmental psychology and modern development theories
• describe development in the prenatal/birth/postnatal periods

Skills

The student can

• give an account of and reflect on key developmental theories related to cognitive development, communication, personality and social and emotional development
• give an account of and reflect on the development of antisocial behaviour and behavioural disorders

General competence

The student can

• describe and reflect on their own presentation technique
• describe and reflect on central theories in developmental psychology
• discuss nature and nurture

Work and teaching methods used in the course are lectures, seminar with presentations and coursework related to teaching parts of the syllabus to fellow students. The seminar presentations will be assessed according to given criteria.

In order to sign up for the final examination the following has to be approved:

• Attendance and presence throughout the subject's introduction day
• Formulation of a problem and preparing a tentative visual presentation (eg powerpoint) for presentation in a group
• Presence throughout the day of approx. 6 seminars, including participation in 1 group presentation

None