Curricula

Objective

The students can solve separable first and second order linear differential equations. The students can solve matrix equations. The students know the basic concepts of probability calculus and the most important probability distributions. The students understand the basic idea of linear optimization. The students can use their knowledge in applications. There may be small differences in the objectives depending on the degree programme.

Content

Differential equations, probability calculus, optimization.
Use of mathematical computer programs in applications. The contents may vary a little depending on the degree programme.

Qualifications

The students can form expressions, equations or functions. The students can handle expressions and solve equations. The students understand the concept of a function and they can draw and analyze graphs of functions. The students master the basics of the derivative and integral calculus for real functions and they know how to utilize their knowledge in applications. The students know the basic calculations with complex numbers and matrices.

Assessment criteria, satisfactory (1)

Excellent (5): the students master most of the concepts and methods and they can apply them independently. Good (3-4) the students master some concepts and methods and they can apply them. Satisfactory (1-2): the students understand some concepts and methods.