Discrete Mathematical Structures

Online Course: Basic Concepts of Algorithms and Data Structures Duration : - 60 minutes: condensed format to introduce fundamental concepts with targeted exercises. - 90 minutes: extended format to explore concepts in depth, solve complex problems, and include an interactive question-and-answer session. --- General description This course is designed for students and professionals who are new to computer science, as well as those who want to solidify their foundation in algorithms and data structures. It provides a clear and practical introduction to the essential tools for solving problems effectively, by learning how to design and analyze algorithms. Whether you are preparing for an exam, a technical interview, or want to improve your programming skills, this course will guide you in understanding theoretical concepts and their practical application. --- Educational objectives At the end of the course, participants will be able to: 1. Understand the fundamental concepts of algorithms: sorting, searching, time complexity. 2. Master key data structures: arrays, lists, stacks, queues, trees, and graphs. 3. Solve problems by choosing appropriate data structures and algorithms. 4. Analyze and optimize the performance of algorithms. --- Course syllabus 1. Introduction (5-10 min) - Presentation of the objectives and concepts covered. - Importance of algorithms and data structures in computer science. 2. Fundamental concepts (20-30 min) - Definitions and roles of algorithms and data structures. - Temporal and spatial complexity: basic notions (Big O). - Basic data structures: arrays, lists, and dictionaries. 3. Practical application and examples (30-40 min) - Simple sorting implementation (insertion sort, bubble sort). - Search example (linear search, binary search). - Manipulation of stacks and queues through practical exercises. - Bonus for the 90 min format: Exploration of trees and graphs (simple example of a route). 4. Q&A and conclusion (5-10 min) - Review of the concepts covered. - Tips for continuing to practice and progress. - Suggestions for personal projects to apply the knowledge acquired. --- Teaching methodology - Interactive learning: a combination of theoretical explanations and practical applications. - Concrete examples: each concept is illustrated by practical cases and guided exercises. - Adaptation to needs: the courses are adjusted to the level and objectives of each participant, with a focus on the most relevant aspects. --- Target audience This course is aimed at: - Computer science students wishing to strengthen their mastery of the basics before exams or projects. - Programming beginners who want to understand the essential mechanisms behind problem solving. - Professionals preparing for technical interviews or seeking to improve their understanding of algorithms. --- Benefits of this online course - Personalized support from an experienced trainer. - Educational materials and practical exercises accessible after the session. - Flexible hours to fit your schedule. - Progressive approach to facilitate learning, even for beginners. Develop your skills in algorithms and data structures today to efficiently solve the complex problems of tomorrow! ---

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