Section outline

  • The objectives of the course:

    1. Comprehensive Understanding: The primary objective is to provide students with a comprehensive understanding of the mathematical concepts related to series and differential equations.

    2. Seamless Integration: Ensure that the course curriculum seamlessly integrates with the "Series and Differential Equations" course, which is a crucial component of the Fundamental Teaching Unit (UEF-F121) tailored for second-year undergraduate physics students.

    3. Enriched Learning Experience: Enhance the learning experience by offering a curriculum that not only complements the established syllabus but also enriches it, providing students with a robust foundation in the subject matter.

    4. Versatility Across Disciplines: Recognize the potential applications of the material beyond fundamental physics. Aim to make the resource valuable for students pursuing undergraduate studies in various disciplines, including electronics, electromechanics, mechanical engineering, civil engineering, and automation.

    5. Skill Development: Equip students with the necessary mathematical tools and problem-solving techniques required for a wide range of physics and engineering problems.

    6. Demystification of Differential Equations: Break down and demystify differential equations, considering them a crucial language in science and engineering. Provide students with a clear understanding of their components and solving techniques.

    7. Introduction to Series: Introduce students to the study of series, both numerical and integer, as a foundation for understanding infinite summations. This paves the way for a deeper exploration of Fourier series and their applications in diverse fields.

    8. Exploration of Advanced Mathematical Tools: Explore advanced mathematical tools such as Fourier Transform and Laplace Transform, emphasizing their applications in signal processing, image analysis, quantum mechanics, and solving differential equations in engineering and physics.


    Overall, the course aims to be a valuable resource that not only imparts theoretical knowledge but also fosters practical problem-solving skills, preparing students for success in the diverse and evolving fields of science and technology.