Differentiaaliyhtälöt (MATLY0113), 3 op

Basic information

Prerequisites

Basic courses in mathematics (MATLY0111 and MATLY0112)

Course contents (core content level)

Solution of a differential equation. Classification of differential equations. Applications of differential equations in physics and chemical engineering. Solving separable differential equations. Linear differential equations. Solving non-linear differential equations numerically. Systems of differential equations. Solving systems of non-linear differential equations numerically. Applications of systems of non-linear differential equations chemical and reaction engineering. Estimating parameters of systems of non-linear differential equations. Using Excel in solving differential equations and systems of differential equations. Graphical visualization of solutions of differential equations.

Course contents (additional)

Estimating parameters of systems of non-linear differential equations. Using mathematical software (Matlab, Octave) in solving differential equations and systems of differential equations.

Core content level learning outcomes (knowledge and understanding)

The student understands what is meant by a solution of a differential equation. The student understands in what kind of problems differential equations are needed. The student understands the idea of mathematical modeling (simulation) using differential equations. The student knows different ways of solving differential equations. The student knows the most common applications of differential equations in chemical engineering.

Core content level learning outcomes (skills)

The student is able to classify differential equations. The student can solve separable and linear differential equations. The student is able to solve numerically differential equations and systems of differential equations. The student can apply differential equation in common problems of chemical and reaction engineering. The student is able to use Excel in solving differential equations numerically.

Recommended reading

Handouts in pdf-format

Teaching and learning strategies

Class room teaching: 28 h
Computer labs: 14 h
Project: 10 h
Exams: 4h
Student individual workload (workload analysis not carried out): 24 h
Total: 80 h
Follow-up of the student workload analysis performed: -

Teaching methods and student workload

Assessment weighting and grading

Exams (minimum 40% of the maximum score), approval of the project.

Related competences of the degree programme

Theoretical basis and mathematical and science skills