The aim of studying and bibliography

The main aim of study: Symbolic computation software Computer Algebra Sysytem - MAXIMA

The general information about the module: The course includes lectures and computer labs. In the laboratory, students learn about practical application of selected Computer Algebra System as a tool supporting the work of engineer.

Teaching materials: http://e-learning.prz.edu.pl/course/view.php?id=272

Bibliography required to complete the module

Bibliography used during lectures

1	A. Palczewski	Równania różniczkowe zwyczajne : teoria i metody numeryczne z wykorzystaniem komputerowego systemu obliczeń symbolicznych (bibl)	WNT, .	2004.
2	C. Lachowicz	Matlab, Scilab, Maxima? Opis i przykłady zastosowań (bibl)	Politechnika Opolska.	2005

Bibliography used during classes/laboratories/others

1	https://sourceforge.net/projects/maxima/	dokumentacja systemu CAS MAXIMA	źródło - sieć internet.	2018
2		https://se.mathworks.com/help/matlab/	.	2019

Basic requirements in category knowledge/skills/social competences

Formal requirements: The student satisfies the formal requirements set out in the study regulations

Basic requirements in category knowledge: General knowledge of mathematics (functions, derivatives, partial derivatives, complex numbers, matrices, equations and systems of differential equations, integrals ...)

Basic requirements in category skills: Computer skills and MS Windows system

Basic requirements in category social competences: none

Module outcomes

MEK	The student who completed the module	Types of classes / teaching methods leading to achieving a given outcome of teaching	Methods of verifying every mentioned outcome of teaching	Relationships with KEK	Relationships with PRK
01	Student has a basic knowledge within the existing CAS packages, knows their strengths and weaknesses.	lecture	writen part of the exam.	K_W09+	P6S_WG
02	Student is able to apply selected software packages in mathematical operations with use of real and complex numbers, matrices at a basic level.	lecture	written part of the exam	K_K01+	P6S_KO P6S_UU
03	Student has the basic ability to work with integral and differential calculus, he can perform process of function variation using the MAXIMA package	lecture	written part of the exam	K_U03+	P6S_UO P6S_UW
04	Studen posseses the basic skills of drawing and graphical presentation of the results of calculations (2D and 3D).	lecture	written part of the exam	K_U03+	P6S_UO P6S_UW
05	Student has the basic skills to use application package for solving equations and systems of equations, polynomials operations, solving equations and systems of differential and integral equations.	lecture	written part of the exam.	K_W09+	P6S_WG
06	Student is able to model the simple process described by differential equations, determine the initial and boundary conditions and present graphical solution.	lecture	written part of the exam.	K_U02++ K_U03++	P6S_UO P6S_UU P6S_UW
07	Student is able to create plots resulting from the mathematical model or data acquisition.	lecture	written part of the exam	K_U02++ K_K04++	P6S_KO P6S_UO P6S_UU P6S_UW
08	Student is able to write a simple script and execute it in batch mode.	lecture	written part of the exam.	K_U03+ K_U09+ K_K05+	P6S_KK P6S_KO P6S_UO P6S_UU P6S_UW

Attention: Depending on the epidemic situation, verification of the achieved learning outcomes specified in the study program, in particular credits and examinations at the end of specific classes, can be implemented remotely (real-time meetings).

The syllabus of the module

Sem.	TK	The content	realized in	MEK
1	TK01	Presentation of course program and its requirements. CAS packages history - examples, MAXIMA/MATLAB as a calculator (basic math operations), expression and functions.	W01	MEK01 MEK02
1	TK02	Differentiation, partial derivatives, integrals.	W02	MEK02
1	TK03	Ordinary differential equations, systems of differential equations, Laplace transform.	W03	MEK03
1	TK04	Simplification and development of expressions, operations on polynomials.	W04	MEK03 MEK05
1	TK05	Equations and systems of equations, operations on lists, tables and matrices.	W05	MEK02
1	TK06	Graphic features, 2D and 3D graphs, programming, input and output operations.	W06	MEK04
1	TK07	-	W07	MEK05 MEK06 MEK07
1	TK08	Maxima/MATLAB as an advanced scientific calculator.	L01	MEK02
1	TK09	Functions, calculation of function limits, derivatives, drawing simple graphs.	L02	MEK03
1	TK10	-	L03	MEK03
1	TK11	Functions of several variables, the calculation of partial derivatives, calculation of integrals.	L04	MEK03 MEK05
1	TK12	Operations on polynomials, equations and systems of equations.	L05	MEK05
1	TK13	Differential equations and systems of differential equations	L06	MEK05
1	TK14	Operations on lists, tables.	L07	MEK06
1	TK15	Matrix calculus - applications.	L08	MEK06
1	TK16	Modeling - equations of motion - harmonic oscillator.	L09, L10	MEK06
1	TK17	Graphics (presentation of data and calculations)	L11, L12	MEK04
1	TK18	File operations, discrete function graphs.	L13	MEK08
1	TK19	Scripts in Maxima, creation of script - solving math problems.	L14	MEK08

The student's effort

The type of classes	The work before classes	The participation in classes	The work after classes
Laboratory (sem. 1)	The preparation for a Laboratory: 8.00 hours/sem. The preparation for a test: 6.00 hours/sem.	contact hours: 30.00 hours/sem.	Finishing/Making the report: 15.00 hours/sem.
Advice (sem. 1)
Credit (sem. 1)

The way of giving the component module grades and the final grade

The type of classes	The way of giving the final grade
Laboratory	For each laboratory students realize two parts. Part I-exercises - simple tasks based on knowledge gained during lectures. Part II - Test. Task is more difficult, students work independently and their work is evaluated. Based on the results of all laboratories the final mark is calculated (the arithmetic mean value of colected points).
The final grade	Calculated as the average of all marks obtained in the laboratory.

Sample problems

Required during the exam/when receiving the credit
(-)

Realized during classes/laboratories/projects
(-)

Others
(-)

Can a student use any teaching aids during the exam/when receiving the credit : no

The contents of the module are associated with the research profile: no