Module also offered within study programmes:
General information:
Name:
Numerical Calculations
Course of study:
2015/2016
Code:
BGF-2-103-AG-s
Faculty of:
Geology, Geophysics and Environmental Protection
Study level:
Second-cycle studies
Specialty:
Applied Geophysics
Field of study:
Geophysics
Semester:
1
Profile of education:
Academic (A)
Lecture language:
English
Form and type of study:
Full-time studies
Course homepage:
 
Responsible teacher:
dr hab. inż. Zych Marcin (zych@agh.edu.pl)
Academic teachers:
dr hab. inż. Zych Marcin (zych@agh.edu.pl)
Module summary

Description of learning outcomes for module
MLO code Student after module completion has the knowledge/ knows how to/is able to Connections with FLO Method of learning outcomes verification (form of completion)
Social competence
M_K001 Ma świadomość odpowiedzialności za wspólnie realizowane zadania, związane z pracą zespołową GF2A_K03 Execution of a project,
Execution of exercises,
Involvement in teamwork
Skills
M_U001 Posiada umiejętność zastosowania technik badawczych z zakresu metod numerycznych GF2A_U06, GF2A_U03, GF2A_U12 Execution of exercises
M_U002 Uzupełnia wiedzę, potrafi pozyskiwać informacje z literatury oraz źródeł elektronicznych wyciągać wnioski i formułować opinie GF2A_U01 Execution of exercises
Knowledge
M_W001 Zna i rozumie metody matematyczne opisu i przetwarzania danych numerycznych GF2A_W02, GF2A_W09, GF2A_W10 Test
M_W002 Zna narzędzia informatyczne do przetwarzania danych numerycznych GF2A_W10 Execution of exercises
FLO matrix in relation to forms of classes
MLO code Student after module completion has the knowledge/ knows how to/is able to Form of classes
Lecture
Audit. classes
Lab. classes
Project classes
Conv. seminar
Seminar classes
Pract. classes
Zaj. terenowe
Zaj. warsztatowe
Others
E-learning
Social competence
M_K001 Ma świadomość odpowiedzialności za wspólnie realizowane zadania, związane z pracą zespołową - - + - - - - - - - -
Skills
M_U001 Posiada umiejętność zastosowania technik badawczych z zakresu metod numerycznych + - + - - - - - - - -
M_U002 Uzupełnia wiedzę, potrafi pozyskiwać informacje z literatury oraz źródeł elektronicznych wyciągać wnioski i formułować opinie + - + - - - - - - - -
Knowledge
M_W001 Zna i rozumie metody matematyczne opisu i przetwarzania danych numerycznych + - + - - - - - - - -
M_W002 Zna narzędzia informatyczne do przetwarzania danych numerycznych - - + - - - - - - - -
Module content
Lectures:

Floating point number representation and numerical calculation errors.
Interpolation issue: polynomial interpolation,
Lagrange interpolation, Newton interpolation, spline functions.
Approximation: mean square, polynomial, trigonometric, monotonous.
Approximation of equations and simultaneous nonlinear equations solution.
Numerical integration.
Methods of solving of simultaneous algebraic linear polynomials: accurate and iterative.
Initial conditions of ordinary differential equations and methods of solving.
Methods of solving of initial condition for partial differentia equation

Laboratory classes:

Accuracy of numerical calculations.
Numerical interpolation algorithms,
Approximation methods,
Equations and simultaneous nonlinear equations solution,
Numerical integration,
Solving of simultaneous algebraic linear polynomials.
Solving of simultaneous algebraic linear polynomials.
Solving of initial condition for partial differential equation

Student workload (ECTS credits balance)
Student activity form Student workload
Summary student workload 116 h
Module ECTS credits 4 ECTS
Participation in lectures 28 h
Participation in laboratory classes 28 h
Realization of independently performed tasks 60 h
Additional information
Method of calculating the final grade:

Wartość średnia oceny z ćwiczeń i egzaminu

Prerequisites and additional requirements:

Prerequisites and additional requirements not specified

Recommended literature and teaching resources:

Paul F.Hultquist, Numerical methods: for engineers and computer scientists, 1988, Menlo Park Singiresu S. Rao, Applied numerical methods for engineers and scientists, 2002, Upper Saddle River
J. Klamka , Numerical methods, 2001, Gliwice

Scientific publications of module course instructors related to the topic of the module:

Additional scientific publications not specified

Additional information:

None