Event Title: “Enrichment Programme on Differential Calculus”

Date: 05-03-2025

Time: 11.30 A.M to 12.30 P.M

Venue: Block 5: Room No:205

CONVENERS

Mrs Linda Joel, Assistant Professor

Mrs Matilda Shanthini P, Assistant Professor Dr V Sumithra, Assistant Professor

No. Of Participants: 60

Resource Person Details

DR VIJAYALAKSHMI P

Chennai

Welcome Address

The event began with a warm welcome by Dr.T. Harikrishnan, Head of the Department (i/c) of Mathematics. He greeted the gathering with positive words and provided an insightful introduction to the significance of the session. His brief overview set the tone for the event, emphasizing the importance of mathematics and statistics in the field of computer science.

Introduction of the Chief Guest:

Mrs Linda Joel, Assistant Professor, Department of Mathematics, took the stage to introduce the chief guest, Dr Vijayalakshmi P, Department of Mathematics, Anna University, Chennai. She highlighted Dr Vijayalakshmi P distinguished career, handling Discrete Mathematics, Non-Linear Programming, Advanced Numerical Methods for M.E, M.Tech and B.E students of Anna University.

Keynote Address:

The invited speaker, Dr Vijayalakshmi P, delivered an enriching keynote address on the Enrichment Program on Differential Calculus with Applications to provide students with a deeper understanding of fundamental concepts, real-world applications, and problem-solving techniques in calculus. She aimed to bridge the gap between theoretical knowledge and practical applications, enhancing analytical and critical thinking skills.Special emphasis was given to understanding how differential calculus is applied in various scientific and technological domains.

Throughout the session, Dr Vijayalakshmi P captivated the audience with her deep understanding of how mathematical concepts, specifically statistics, are pivotal in the development and application of AI systems.

Here are some key points from her address:

Teaching Methodology

The program employed various teaching methodologies to enhance engagement and learning, including:

Interactive lectures with real-life

Group discussions and peer-to-peer

Hands-on problem-solving

Use of technology, such as graphing software and

Case studies illustrating the practical applications of differential

Real-World Applications of Differential Calculus

Physics: Motion, velocity, acceleration, and wave

Biology: Population growth models, enzyme

Engineering: Signal processing, control systems, and fluid

Economics: Marginal cost, revenue functions, and optimization

Computer Science: Image processing, neural networks, and AI

Key Takeaways

The students gained:

A solid understanding of differential calculus and its

Improved problem-solving and analytical

Enhanced confidence in approaching calculus-related

Exposure to interdisciplinary applications of calculus in physics, engineering, economics, and computer science.

Practical knowledge on how calculus is used in fields like artificial intelligence, medical sciences, and business analytics.

Vote Of Thanks

The session concluded with a vote of thanks proposed by Mrs Matilda Shanthini P, Assistant Professor in the Department of Mathematics. She expressed her gratitude to Dr Vijayalakshmi P for sharing her expertise and insights. She also thanked the participants for their active involvement and the faculty members for their support to organize the event successfully.

Conclusion:

The Enrichment Program on Differential Calculus with Applications was a successful initiative in reinforcing students’ understanding of calculus and its broad applicability in real-world scenarios. It was well-received by participants, with positive feedback on the interactive and practical approach. Future recommendations include:

Incorporating more real-world case studies to further bridge theory and Providing access to online resources for continuous

Organizing follow-up sessions or advanced workshops on integral calculus, multivariable calculus, and computational applications.

Introducing guest lectures by industry experts who use differential calculus in their respective fields.

The program proved to be a valuable learning experience, fostering a deeper appreciation of calculus and its significance in various disciplines, making it a crucial tool for scientific and technological advancements.