• Length:
    4 Weeks
  • Effort:
    1–3 hours per week
  • Price:

    FREE
    Add a Verified Certificate for $49 USD

  • Institution
  • Subject:
  • Level:
    Introductory
  • Language:
    English
  • Video Transcript:
    English
  • Course Type:
    Self-paced on your time

About this course

Skip About this course

The aim of the course is to familiarize the listeners with approaches in scientific visualization of the results obtained from mathematical modeling of various systems and processes using C# with concrete examples. A successful study of the course forms a holistic view of mathematical modeling algorithms and data structures for object description and the ability to use them in professional activity. A prototype of the program is being created for dynamic script execution. The basics of image processing are studied. An algorithm for dynamic programming in various problems is considered. The basics of client-server applications are discussed.

The course was created as part of the project on the modern educational program development provided by Ministry of Science and Higher Education (Russia).

What you'll learn

Skip What you'll learn

• Basics and approaches in program prototype development for dynamic script execution and image comparison
• Interaction with image files and basics of image processing
• Dynamic programming algorithms in various problems
• Drawing on html-canvas
• Basics of client-server applications
• Algorithms of graph moving and search in text
• Creation of routine activity automatization

Introduction

History of mathematical modeling.
Basic algorithms and data structures.
Evolution of programming languages.

Lesson 1. Creating a prototype program for dynamic script execution.

1.1 Introduction of dynamic script execution.

1.2 Designing the user interface of MathPanel app.

1.3 Methods for logging and console output.

1.4 Dynamic compilation using C#.

1.5 A template for MathPanel scripts.

1.6 Handler for the « Image » button.

1.7 Polishing the prototype.

Lesson 2. Bitmaps and working with image files.

2.1 An example of slideshow.

2.3 BitmapSimple class – an array of ARGB values.

2.4 Saving a BitmapSimple to a file.

2.5 Loading a BitmapSimple from a file.

2.6 BitmapSimple with a gradient.

2.7 Adding noise.

2.8 Grayscaling and smoothing.

2.9 Filterind and Sobel-filter.

2.10 Working with alpha-channel.

Lesson 3. Method of dynamic programming.

3.1 Implementing the text animation.

3.2 The task of optimal alignment of strings or objects .

3.3 How does the method of dynamic programming work ?

3.4 The code review.

3.5 Comparing two strings.

3.6 Comparing two text files.

3.7 Comparing arrays of objects.

3.8 Comparing image files.

Lesson 4. Drawing on html-canvas.

4.1 Html-canvas.

4.2 Introduction to canvas API.

4.3 Reviewing « graphix.js » library.

4.4 A simple test container for the library.

4.5 QuadroEqu class to simplify data preparation.

4.6 Drawing via script samples.

Conclusion

Modeling the movement of an absolutely elastic ball.
The simulation of cell colonies - the game «Life».
Event modeling (exit from the maze).

Meet your instructors

Andrei Borziak
Doctor of Science in Technical Sciences, Researcher
Lobachevsky State University of Nizhni Novgorod
Vladimir Shargatov
Candidate of Physical and Mathematical sciences, Associate professor
National Research Nuclear University MEPhI

Pursue a Verified Certificate to highlight the knowledge and skills you gain
$49 USD

View a PDF of a sample edX certificate
  • Official and Verified

    Receive an instructor-signed certificate with the institution's logo to verify your achievement and increase your job prospects

  • Easily Shareable

    Add the certificate to your CV or resume, or post it directly on LinkedIn

  • Proven Motivator

    Give yourself an additional incentive to complete the course

  • Support our Mission

    edX, a non-profit, relies on verified certificates to help fund free education for everyone globally