Mathematics in Process Tehnology TX00DJ61-3001 26.08.2019-25.10.2019 5 credits(TXM18S1, ...)+-
Learning outcomes of the course
The student realizes what is meant with the solution of the differential equation and in what kind of problems they are needed. Student realizes the idea of simulation with differential equations. The student knows typical applications of differential equations in process technology and is able to apply then.
The student is able to classify differential equations and solve separable and linear first-order differential equations. The student can solve differential equation and simultaneous equations by numerical methods.
The student is able to apply linearization and regression analysis in typical applications in process technology.
The student can apply mathematical software in problem solving.
Prerequisites and co-requisites
Math and Science Basics 1
Math and Science Basics 2
Math and Science Basics 3
The concept of differential equation.
Classification of the differential equations.
Application of the differential equation in process technology: modelling and simulation.
Separable differential equations.
Linear differential equations.
Simultaneous differential equations and numerical methods.
Using mathematical software in problem solving.
Laboratory exercises concerning phenomena in chemical processes, and the application of mathematical tools to the measured equilibrium and kinetic data.
The student is able to define and describe the concepts and phenomena included in the course in a qualitative way and to compute straightforward problems mainly based on inserting a correct quantity into a correct formula.
The student has done the laboratory exercises, and the reports have been accepted.
The student is able to define or describe the concepts and phenomena in one´s own words; he also knows how to explain the origin and meaning of related equations and to critically evaluate different solutions.
The student has done the laboratory exercises and reported them in due time.
The student is able to characterize and model phenomena on the basis of reasonable assumptions as well as to analyze, evaluate and modify solutions and the model when needed.
The student has done the laboratory exercises and reported them in an excellent manner in due time.