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.

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.

Hydroelectric engineering, hydrology, hydraulics.

Elective courses are set up under precondition that there are enough students in the course.

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 sufficiently familiar with basic hydrology and hydraulics to understand the water cycle and the properties of water, including flood hydrology
• is familiar with the basic concepts and design methods for structures crossing watercourses

Skills

The student is capable of:

• making use of the most important standards and guidelines for structures crossing watercourses
• estimating the amount of water available for power production in a watercourse
• dimensioning and calculating the stability of dams and other technical watercourse structures
• optimising power plants in terms of energy production and energy considerations
• describing the most important turbine types and explaining their function and special properties

General competence

The student is capable of:

• making independent assessments of a planned power plant, including the choice of dam type, installation and estimated production
• considering environmental issues relating to the development of power plants

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

• 6 exercises.

Individual written 3 hours exam under supervision.

The result of the exam can be appealed.

In the event of a resit or rescheduled exam, an oral examination may be used instead. The exam results cannot be appealed.

Acts, regulations, and guidelines from the Norwegian Water Resources and Energy Directorate (NVE)

• Retningslinjer for laster og dimensjonering.
• Retningslinjer for betongdammer.
• Retningslinjer for murdammer.
• Retningslinjer for flomløp.
• Retningslinjer for stenge- og tappeorganer.
• Retningslinje for instrumentering og overvåking av Vassdragsanlegg.
• Veileder for fyllingsdammer

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.