IX NORDIC BALTIC AGROMETRICS CONFERENCE June 12, 2014, Kaunas, Lithuania

Transcription

1 IX NORDIC BALTIC AGROMETRICS CONFERENCE June 12, 2014, Kaunas, Lithuania DEVELOPMENT WITHIN THE BALTIC NETWORK IN AGROMETRICS Free Mathematical Packages for Educational and Research Purposes Dr.sc.ing. Tatjana Rubina Latvia University of Agriculture Faculty of Information Technologies

2 Situation at LUA At the last few years an additional type of lessons laboratory work was introduced on study programs at LUA. During laboratory work students learn to solve different mathematical problems using mathematical package Mathcad and Matlab. The introduction of laboratory work enables to resolve and contribute resolution of following problems: students interest and higher motivation executing homework using computer; inspection of homework s correct implementation and formulation of outstanding issue; learning to work with multi-functional mathematical packages Mathcad and Matlab; solving of mathematical problems using Mathcad or Matlab that students can further apply executing their own scientific or research work. 2

3 Problems Not all laboratory works can be executed at university. For this reason, students need to install software and require to purchase the software license to be able to execute homework using their own private computer. Mathcad and Matlab are commercial and very costly software tools. Not all functions of Mathcad and Matlab are required for laboratory work execution. 3

4 Possible solution Different mathematical packages are available for free and are likewise Mathcad and Matlab that provide the same (not all) functions and enable to solve different mathematical problems. For example, 4

5 Smath Studio It is like Mathcad. Operating systems: Windows, Linux, Windows Mobile 5

6 Functions Variables and functions definition (:=) Matrices, vectors, Operations with matrices Comments, description Mathematical operations Elementary mathematical functions Functions derivative Data interpolation Graphs (2D, 3D) Build-in constants and functions Programming Flow control (if-then-else, for, while) Comparison operators (==,>= etc.) Input/output functions (file open, close, data loading, saving etc.) Note Examples 6

7 It is like Matlab. Open source. Operating systems: GNU/Linux, Mac OS X, Windows XP/Vista/7/8 Scilab 7

8 Integration, differentials ODE solving Algebraic equation solving Derivative Definite integral Indefinite integral Functions Ordinary differential equations solvers Data interpolation Linear algebra functions Mathematical functions Matrices Polinoms Graphs (X-Y plot, Scatterplot, Scatter 3D plot, Contourplot, Polarplot, Bar plot, Vectorplot) Flow control (if-then-else, for, while) Comparison operators (==,>= etc.) Functions, scrip files and variables definition Build-in Scilab functions Note bvode dae diff intg Int2d,int3d, intc; intl Dae, ode, ode_discrete, ode_root Intsplin, inttrap Graphs plot suft contour pie hisplot bar barh his3d polarplot matplot sgrayplot 8 grayplot

9 Matlab - Scilab Matlab SCILAB Matlab SCILAB all and home any or isglobal balance balanc isinf(a) a == %inf clock unix('date') isnan(a) a ~= a computer unix_g('machine') isstr(a) type(a) == 10 cputime timer keyboard pause + resume delete unix('rmfile') lasterr dir unix_g( 'Is') lookfor apropos echo mode more lines eig specorbdiag pack stacksize eval evstr pause halt exist exists + type qz gspec+gschur fclose file ( close ) randn rand feof rem modulo ferror setstr ccde2str feval evstr un strcat strcmp(a,b) a == b filter rtitr uicontrol finite (x < %inf) uimenu getvalue fopen file('open') unix unix_g fread read version fseek file which whereis ftell nargin [nargout,nargin]=argn (0) fwrite writeb nargout global 9

10 Matlab - Scilab MatLab referenced functions mtlb_cell mtlb_flipud mtlb_median mtlb_all mtlb_fprintf mtlb_mesh mtlb_any mtlb_fread mtlb_meshhdom mtlb_axes mtlb_fscanf mtlb_min mtlb_choices mtlb_fwrite mtlb_ones mtlb_clf mtlb_get mtlb_plot mtlb_cumsum mtlb_hold mtlb_prod mtlb_diff mtlb_i mtlb_qz mtlb_e mtlb_ifft mtlb_rand mtlb_eye mtlb_is mtlb_save mtlb_eval mtlb_ishold mtlb_semalogy mtlb_exist mtlb_isreal mtlb_semilogx mtlb_fft mtlb_length mtlb_sprintf mtlb_filter mtlb_load mtlb_sscanf mtlb_find mtlb_loglog mtlb_subplot mtlb_findstr mtlb_max mtlb_sum mtlb_fliplr mtlb_mean mtlb_zeros 10

11 It is like Matlab. Open source. Operating systems: Linux, Windows 2000/XP/Vista/ win7/win8, Mac OSX Freemat 11

12 Functions /No Functions /No Variables (symbolic also), matrices and vectors Functions and scprit files definition (function, inline function) Mathematical operators (+,-,*,/) Flow control (if-then-else, for, while, break) Build-in FreeMat functions (diary, tictoc, clc) FreeMat code debbuging Elementary mathematical functions Constants Data type conversion Control functions (exist, null, equal etc.) Matrices generation and processing Random numbers generation Input/output functions (file open, close, data loading, saving etc.) String data type processing functions Signal processing ODEs numerical solution (ODE45) Operating system functions (files and directories processing) Data approximation, interpolation Graphs (X-Y plot, Surface, Contourplot) Graphs processing functions Object oriented programming Bit operations 12

13 Conclusions Freely available software tools provide necessary functionality for laboratory work execution in higher mathematics course. Freely available software tools can be used for data processing in research work. Smath Studio (likewise Mathcad), Scilab and Freemat (likewise MatLab) require more less disk space comparing with multifunctional packages Mathcad and Matlab. 13

14 Thank You for attention! 14