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The Department of Mathematics at SRM University-AP successfully conducted a two-week summer programme “Chetna: Awakening Mathematical Minds” from June 17th to June 28th, 2024. This programme aimed to inspire and enhance mathematical understanding among participants from various parts of the country. The programme saw enthusiastic participation from 25 students hailing from different states across India, including West Bengal, Assam, Kerala, Karnataka, Tamil Nadu, Maharashtra, Gujarat, Delhi and Andhra Pradesh.

The programme featured a diverse curriculum, covering a wide range of mathematical topics. Eleven subjects were taught by eleven distinguished faculty members from the Department of Mathematics. The subjects provided a broad and enriching mathematical experience, designed to ignite a passion for mathematics in the participants.

Insights of the Two-Week Programme

First Week Highlights

1. Number Theory by Prof. Kalyan Chakraborty
The first week began with an in-depth exploration of Number Theory. Prof. Kalyan Chakraborty introduced participants to fundamental concepts such as divisibility, prime numbers, and modular arithmetic. The engaging sessions provided a strong foundation in understanding the properties and applications of numbers.

2. Abstract Algebra by Dr Anirban Bose
Dr Anirban Bose led the sessions on Abstract Algebra, diving into structures like groups, rings, and fields. The course covered essential algebraic concepts and their applications, enhancing the participants’ problem-solving skills and theoretical knowledge.

3. Linear Algebra and Basic Operators by Dr Animesh Bhandari
Dr Animesh’s lectures on Linear Algebra included topics such as vector spaces, linear transformations, and matrices. The sessions aimed to build a solid understanding of linear systems and the role of operators in mathematical computations.

4. Graph Theory by Dr Fouzul Atik
Graph Theory, taught by Dr Fouzul Atik, introduced participants to the study of graphs, which are mathematical structures used to model pairwise relations between objects. Topics included graph traversal, connectivity, and graph colouring, providing insights into the practical applications of graph theory.

5. Ordinary Differential Equation by Dr Nityananda Roy
The week concluded with Dr Nityananda Roy’s sessions on Ordinary Differential Equations (ODEs). This course covered methods of solving first-order and higher-order ODEs, along with real-world applications of differential equations in various fields.

Second Week Highlights

1. Advanced Algebra by Dr Kalyan Banerjee
Building on the first week, this subject delved deeper into algebraic structures, including advanced group theory and ring theory, preparing students for research-level problems.

2. Metric Spaces by Dr Choiti Bandyopadhyay
Dr Choiti’s sessions on Metric Spaces introduced participants to the concepts of distance and convergence in metric spaces. Topics included open and closed sets, continuity, and compactness, providing a deeper understanding of analysis.

3. Foundations of Probability and Statistics by Dr Vijayakrishna Rowthu
Dr. Vijayakrishna covered the Foundations of Probability and Statistics, focusing on probability theory, random variables, and statistical inference. The course aimed to equip participants with the skills needed to analyze and interpret data.

4. Mathematical Modelling by Dr Tapan Kumar Hota
Dr. Tapan’s lectures on Mathematical Modelling demonstrated how mathematics can be used to represent, analyse, and solve real-world problems. The course included case studies and practical applications in various disciplines.

5. Partial Differential Equation by Dr Ram Baran Verma
The sessions on Partial Differential Equations (PDEs) by Dr Ram Baran explored methods of solving PDEs and their applications in physics and engineering. Topics included separation of variables, Fourier series, and boundary value problems.

6. Math Education by Dr Jayasree Subramanian
The final course on Math Education, taught by Dr Jayasree, focused on pedagogical approaches and techniques for teaching mathematics effectively. The sessions aimed to inspire future educators and enhance their teaching methodologies.

Conclusion
The “Chetna: Awakening Mathematical Minds” summer programme was a resounding success, providing participants with valuable insights and knowledge in mathematics. The diverse backgrounds of the participants and the expertise of the faculty created a vibrant and stimulating learning environment, fostering a deeper appreciation for the subject. The Department of Mathematics at SRM University -AP looks forward to organising similar programmes in the future to continue inspiring young mathematical minds across the country.