Scientific & Engineering Programming – 2025/26
	Faculty of Electronics, Photonics and Microsystems Electronics and Computer Engineering

Lecture topics and notes

The following table contains the titles of all the lectures, and links to the lecture notes. Lecture notes are provided for the convenience of the students, so it is not necessary to take notes in class. Please note that they are no substitute for textbooks, and other study materials. The lecture notes and additional files are provided in different formats: PDF files, Matlab Code files, and Mathematica notebooks.

• The files with .pdf extension are in the standard Portable Document Format, and can be opened with any pdf reader (Adobe Acrobat Reader, Foxit Reader, Evince, xpdf).
• Files with .nb extension are Wolfram Mathematica notebooks, and can be opened with Mathematica program – they can be viewed, recomputed, modified. The files with .cdf extension are in Computable Document Format, and can be opened with Wolfram Player – they can be viewed and played only (these files copy the Mathematica notebook files contents, and are provided for persons, who have no Mathematica access).
• Files with .m extension are Matlab Code files, and can be opened with Matlab or any text editor (Emacs, Vim, Sublime). The files with .mlx, .mdl, and .slx extension are Matlab Live Code / Simulink files, and can be opened with Matlab only.

These notes are under copyright. They can be used only for anybody's private purposes, and cannot be distributed or published, for example by copying and making available from other Web pages, or in any other way.

no	lecture	materials
1	Course introduction. Tools. Mathematica basics
2	Mathematica basics – cont.
3,4	Differential equations with Mathematica
5,6	Inputs and outputs in Mathematica
7	Diversitas Mathematica
8	Introduction to Matlab
9	Procedural Programming in Matlab
10	Object Oriented Programming in Matlab
11	Graphics in Matlab
12	Mathematics in Matlab
13	Simulink
14	Specification and implementation of systems/experiments. Outroduction

Laboratory classes

no	subject	description	materials
1	Introduction to the laboratory environment. Mathematica basics
2	Mathematica basics 2
3	Algebraic equations nad functions in Mathematica
4,5	Ordinary differential equations in Mathematica
6	Dynamical systems in Mathematica		Double pendulum
7	Control systems in Mathematica		Controls
7	Mathematica repetere
8	First steps in Matlab
9	Introduction to Matlab
10	Procedural Programming in Matlab
11	Object Oriented Programming in Matlab

Mathematica licence usage

Tutorials, books

•   Mathematica & Wolfram Language Fast Introduction for Math Students Tutorial
•   The Wolfram Language: Fast Introduction for Programmers Tutorial
•   CalcLabs with Mathematica – Mathematica Basics by Selwyn Hollis, Brooks/Cole, 2010
•   An Elementary Introduction to the Wolfram Language by Stephen Wolfram
•   Mathematica Cookbook by Sal Mangano, O'Reilly Media, 2010

Wolfram Tools

•   Wolfram Cloud
•   Wolfram Mathematica
•   Wolfram System Modeler
•   Wolfram Demonstrations Project
•   WolframAlpha

MathWorks Tools

•   MathWorks
•   MATLAB Online

Final grades

Passing and obtaining credit in this course requires successfully completing the laboratory class for the course, and obtaining a passing grade for the lecture. The final course grade is computed from the laboratory class score (weight 0.6) and the lecture score (weight 0.4) rounded to the closest nominal grade.

To get the lecture grade one has to pass a final test at the end of the semester. The final test will take place on January 26th, 2026 at 17:05 in room 105 C-5 (regular lecture term and place). The list of test topics can be found bellow.

1. Explain the idea of exact and approximate numbers in Mathematica. Give examples. Discuss the precision issue.
2. Variables definition and types in Mathematica. Explain and illustrate with examples. What the value of an uninitialised variable is?
3. Discuss transformation rules and their use in Mathematica. Illustrate with examples.
4. Describe the way of representing vectors and matrices in Mathematica. Give examples.
5. What are four kinds of brackets in Mathematica? Illustrate with examples.
6. Describe how to define functions in Mathematica. Give examples.
7. Discuss conditionals and their use in Mathematica. Illustrate with examples.
8. Discuss loops and their use in Mathematica. Illustrate with examples.
9. List and briefly describe functions in Mathematica designed for operations on vectors and matrices. Illustrate with examples of application.
10. List and briefly describe functions in Mathematica designed for solving of algebraic equations. Illustrate with examples of application.
11. List and briefly describe functions in Mathematica designed for differentiation and integration. Illustrate with examples of application.
12. List and briefly describe functions in Mathematica designed for solving of ordinary differential equations. Illustrate with examples of application.
13. Describe the differences between symbolic and numerical solving of differential equations in Mathematica. What form does the solution take in both cases?
14. List and briefly describe functions in Mathematica useful for visualising solutions of differential equations. Illustrate with examples of application.
15. List and briefly describe functions in Mathematica designed for function visualisation. Illustrate with examples of application.
16. List and briefly describe functions in Mathematica designed for data plotting. Illustrate with examples of application.
17. Discuss the procedure of dynamical systems simulation in Mathematica. Illustrate its steps with exemplary Mathematica functions calls.
18. Discuss operations and expressions involving floating-point data types in Matlab
19. Discuss operations and expressions involving integer data types in Matlab
20. Discuss operations and expressions involving logical and relational data types in Matlab
21. Discuss operations and expressions on character arrays and strings in Matlab
22. Explain the similarities and differences between arrays and matrices in Matlab
23. Explain the similarities and differences between functions in Matlab defined using a function handle and an m-file
24. Explain the similarities and differences between arrays and cell arrays in Matlab
25. Explain control flow statements in Matlab (if, for, while, switch) with examples
26. Discuss the structure of the class and its usage in Matlab
27. Discuss class attributes: Abstract, AllowedSubclasses, HandleCompatible, Sealed in Matlab
28. Discuss attributes of a class property: Access, Constant, Dependent in Matlab
29. Discuss value classes and handle classes in Matlab, including their practical implications
30. Discuss the purpose of plot, fplot, plot3 and mesh functions in Matlab, similarities and differences between them.
31. Explain the purpose of Simulink, list and briefly discuss the purpose of commonly used blocks from the Simulink Library.
32. List and briefly discuss functions in Matlab designed for numerical and symbolic operations on matrices
33. List and briefly discuss functions in Matlab designed for numerical and symbolic operations on polynomials
34. List and briefly discuss functions in Matlab designed for numerical and symbolic differentiation and integration
35. List and briefly discuss functions in Matlab designed for numerical and symbolic solving of ordinary differential equations
36. List and briefly discuss functions in Matlab designed for numerical and symbolic solving of algebraic equations and for determining zero and minima of functions
37. List and briefly discuss functions in Matlab designed to manipulate and simplify symbolic formulas

To pass the laboratory classes the accomplishing of all the exercises is required. The final laboratory class grade results from exercise point credits.

Instructors