Programme Theme
The Department of Mathematics launched the Summer Training Programme in Mathematics (STPM) in 2024. We are pleased to present its second edition in 2025. The primary aim of this program is to identify young minds who are at the entry-level of mathematics, motivate and groom them to be competent enough to solve some of the challenging problems in mathematics. Towards achieving this goal, the workshop will give focused and concentrated training by conducting interactive sessions in core mathematics wherein the participants will be prompted to learn mathematics by doing it themselves. The programme is going to be conducted by the Faculty of the Department of Mathematics and sponsored by IIT Palakkad.
Participation Details
Eligibility
Students enrolled in colleges and universities and have completed their second year of B.Sc with mathematics as one of the majors or second year of Integrated BS-MS programme by June 2025 are eligible to apply
Support
Selected candidates will be paid second-class sleeper return train/ bus (ordinary) fare for the shortest route. The boarding and lodging for the duration of the programme will be free. The study material for the courses will also be provided. Internet and Library facilities of IIT will also be made available.
Selection
The selection will be purely on merit, based on consistently good academic performance and the recommendation to be obtained by the candidate from her/his Mathematics teachers who are closely acquainted with the candidate. The list of the selected students will be posted on the IIT Palakkad website during the 4th week of May (tentatively).
Events
| Event | Date & Time |
|---|---|
| Application Starts | 7 April |
| Application Closes | 7 May |
| Selection Announcement | 21 May |
| Confirmation by participant | 30 May |
| Registration (Malhar/Saveri Hostels) | 29 June |
| Registration (Saraswati Block) | 30 June |
| Inauguration | 30 June (9:00 AM) |
| Workshop Dinner | 9 July (Wednesday, 7:30 PM) |
| Invited Talk | 10 July (11:00 AM – 12:00 PM) |
| Valedictory Session | 10 July (12:00 PM – 12:45 PM) |
Syllabus
🧠 Fundamentals
Axiomatic set theory; Zermelo–Fraenkel Axioms, Set operations, Relations, Equivalence relations, Functions and inverse images, Compositions, Peano Axioms, Number systems, Mathematical Induction, Cardinality, Countable sets, Uncountable sets, Axiom of choice, Zorn's lemma, Well ordering principle, Schroeder–Bernstein Theorem.
📈 Real Analysis
Real line, Order, Bounded sets, LUB axiom, Archimedean Principle, Sequence, Convergence of sequences, Subsequences, Cauchy's criterion, Bolzano–Weierstrass Theorem, Infinite series and Convergence, Continuity of functions, Intermediate Value Theorem.
📐 Linear Algebra
System of linear equations, Gaussian elimination method, Row and Column Rank, Vector spaces and examples, Subspaces and examples, Basis and dimension, Linear transformations, Algebra of linear transformations, Rank–Nullity Theorem.
Schedule
| Date | 9:00–10:30 AM | 11:00 AM –12:30 PM | 2:00–3:30 PM | 4:00–5:00 PM |
|---|---|---|---|---|
| Mon, 30.06.25 | Fundamentals (SD) | Linear Algebra (GK) | Analysis (JCR) | Tutorials |
| Tue, 01.07.25 | Analysis (JCR) | Fundamentals (SD) | Linear Algebra (GK) | Tutorials |
| Wed, 02.07.25 | Linear Algebra (GK) | Analysis (JCR) | Fundamentals (SD) | Tutorials |
| Thu, 03.07.25 | Fundamentals (SD) | Linear Algebra (GK) | Analysis (JCR) | Tutorials |
| Fri, 04.07.25 | Analysis (LS) | Fundamentals (SD) | Linear Algebra (RV) | Tutorials |
| Sat, 05.07.25 | Linear Algebra (RV) | Analysis (LS) | Fundamentals (SS) | Tutorials |
| Sunday, 06.07.25 – No Sessions | ||||
| Mon, 07.07.25 | Fundamentals (SS) | Linear Algebra (RV) | Analysis (LS) | Tutorials |
| Tue, 08.07.25 | Analysis (LS) | Fundamentals (SS) | Linear Algebra (RV) | Tutorials |
| Wed, 09.07.25 | Linear Algebra (RV) | Analysis (LS) | Fundamentals (SS) | Tutorials |
| Thu, 10.07.25 | Fundamentals (SS) | Invited Talk and Valedictory Function | ||
Faculty: SD - Dr Subhankar Dey, JCR - Dr Jayanarayanan C R, GK - Dr Gopikrishnan C R, LS - Dr Lakshmi Shankar K, SS - Dr Srijan Sarkar, RV - Dr Rohit Verma
Teaching assistants: BT - Mr Bharathi Thiruvengdam, AG - Ms Alphonda Geoerge, GS - Mr Gokul Santhosh, SG - Mr Somyajit Ghosh, ALB - Ms Aiswarya Lakshmi B, NEP - Ms Navaneetha E P, SMG - Mr Sreelal M G, PK - Mr Pawan Kumar
Venue
Set amidst the awe-inspiring Western Ghats, this serene campus transforms into a lush green haven during the monsoon — the perfect backdrop for immersing oneself in mathematics. Dept. of Mathematics, IIT Palakkad welcomes you!
STPM 2025 – Venue Address
Classroom A01-002
Saraswati Block
Sahyadri Campus,
Indian Institute of Technology Palakkad,
Kanjikode Rd,
Palakkad, Kerala 678623
Instructions
- All participants are expected to attend the full duration of the programme from June 30 to July 10, 2025.
- Essential stationary (notebooks, pens) etc will be supplied during Registration session.
- Attendance in all lectures and tutorials is mandatory.
- Participants should maintain discipline and decorum throughout the programme.
- Check your registered email and this website regularly for updates and announcements.
- Please bring an umbrella as monsoon rains are exptected during the session.
Programme Poster
Contact
📬 Contact Address
Department of Mathematics,
Indian Institute of Technology Palakkad,
Sahyadri Campus, Kanjikode,
Palakkad, Kerala 678623
Email: stp_math@iitpkd.ac.in
Phone: +91-491-209-1400, +91-491-209-1405
👥 Organising Committee
- Dr. Gopikrishnan C R – Coordinator
- Dr. Jayanarayanan C R – Organising Member
- Dr. Srijan Sarkar – Organising Member