Course aims:

The general aim consists in getting knowledge to initiate students in the use of mathematical software products, applied in different problems with mathematical component, arising in various fields of science and technique and in general, in the use of computer tool, in an interdisciplinary context.
A specific aim will be to get knowledge in the use of Matlab tools, applied in mathematical framework.
Other software products as R and Excel are aimed to be used for mathematical problems.
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Course Entry Requirements:

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Course contents:

I. Mathematical Software Toolboxes -general issues 1. The use of specific software in the solving of mathematical problems 2. Types of mathematical software II. Microsoft Excel spreadsheet program 1. Editing Excel formula 2. Using of Excel predefined functions 3. Mathematical Excel functions 3.1. Trigonometrical and mathematical functions 3.2. Statistical functions 4. Excel statistical charts 4.1. Creating charts 4.2. Formatting charts 4.3. Printing and interpretation of the charts 5. Practical applications in Excel III. Introduction in MATLAB 1. Working with MATLAB sessions 2. Constants, variables, predefined functions, arithmetical, logical and relational operators 3. Instructions for reading, editing and assigning 4. Commands for ‘script’ m- file 5. Instructions for flow control, branching and efficiency evaluation 6. Functions (procedures) in MATLAB IV. Mathematical functions in MATLAB 1. Basic functions in Matlab 1.1. Functions for linear algebra and matriceal calculus 1.2. Functions for elementary math and trigonometric 1.3. Functions for data analysis 1.4. Functions for polynomial calculus 1.5. Functions for numerical methods 1.6. Functions for graphics 2. Matlab specialized toolboxes 2.1. Functions for statistics 2.2. Functions for regression modeling 2.3. Functions for curves fitting 2.4. Functions for optimization 2.5. Function for equations 3. Applications in Matlab

Teaching methods:

Lecture, discussion, exemplification.

Learning outcomes:

• Using of some software products as Excel and Matlab to solve problems that requires large and hard calculation and also to simplify the way how the results are returned; • Developing of software components for interdisciplinary projects.

Learning outcomes verification and assessment criteria:

Practical project – 50%; continuous assessment – 50%.

Recommended reading:

N.Breaz, Mathematical software, Electronic version in the university library, Alba Iulia, 2019, -.
D. J. Higham, N. J. Higham, MATLAB Guide, 2nd edition,, SIAM, -, 2005, -.
P. Marchand, O. T. Holand, Graphics and GUI with MATLAB, 3rd edition, Barnes and Noble, -, 2003, -.
Cleve Moler, Numerical Computing in MATLAB, SIAM, -, , 2005, -.
***, Documentation for MathWorks Products, R2009a-http://www.mathworks.com/, -, 2019, -.