YFEFPRA4 Teaching Practice, 4th period Course description

Se omtale av praksis i programplanen

Se omtale av praksis i programplanen

Se omtale av praksis i programplanen

Se omtale av praksis i programplanen

The course shall prepare students for master’s degree programmes at universities and university colleges where different types of differential equations is used.

The elective course is initiated provided that a sufficient number of students choose 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 capable of:

• explaining the concepts of analytic function, ordinary, singular and regular singular points
• using series to solve differential equations
• defining the Laplace transform and derive it's basic properties;
• explaining what characterize;Fourier series and how they can be used to solve ordinary and partial differential equations
• giving examples of elliptical, parabolic;and hyperbolic partial differential equations and how they are solved

Skills

The student is capable of:

• solving higher order linear differential equations with constant coefficients
• using power series and Frobenius series to solve second order linear differential equations with variable coefficients
• using the Laplace transform to solve non-homogeneous linear differential equations modelling oscillating systems
• determining the Fourier sine series and the Fourier cosine series of symmetrical expansions of;non-periodic functions
• solving boundary value problems relating to partial differential equations in closed domains by separation of;variables

General competence

The student:

• has acquired good skills in solving ordinary and partial differential equations

Lectures and exercises. Practical exercises are solved individually with the help of the pre-written compendium with solutions for all exercises;and previous exams. At the end of the course, previous exams will be reviewed during the six weekly periods.

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

• 1 individual written assignment