EXAMINATION

Everything you need to know about the competition including timeline, structure, syllabus, etc.

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What is the Integral
Cup Examination?

Registration Open

India's premier undergraduate mathematics championship where brilliance meets rigor. Across two seasons and eight specialized tracks, 10,000+ students compete through multi-stage elimination - offline preliminaries, online olympiads, and grand finales - for mathematical supremacy and elite career pathways in quantitative fields, research, and technology.

Structure

The Integral Cup 2026 unfolds across two seasons, each featuring three escalating rounds of elimination. From 10,000+ participants in offline preliminaries to 400 in online olympiads to 40 grand finalists - every stage intensifies in rigor and stakes. Round 1 tests speed and breadth across chosen tracks with Gaussian-weighted scoring. Round 2 demands proof-based depth in a 4-hour open-book format. Round 3 culminates in multi-day championship events blending speed, creativity, and communication.

2 SEASONS

4 TRACKS

PER SEASON

Season 1

Registration from 6 Feb, 2026 – 20 Mar, 2026

|Track 1: Integration & Analysis
|Track 2: Linear Algebra & Optimization
|Track 3: Probability & Statistics
|Track 4: Game Theory

Season 2

Registration from June – July 2026

|Track 5: Discrete Mathematics
|Track 6: Number Theory
|Track 7: AI & Computational Mathematics
|Track 8: Topology

Eight specialized domains. Two competitive seasons. Each track tests distinct mathematical mastery - from analytical depth to strategic reasoning. Choose your battlefield. Prioritize wisely. Prove your edge where theory meets competition.

Rounds in Season 1

Three escalating stages test speed, depth, and creativity across Integration & Analysis, Linear Algebra & Optimization, Probability & Statistics, and Game Theory. Choose 3 tracks. Rank strategically. Advance through elimination, where only mathematical excellence survives.

Round 1

Offline Preliminary Exam

21 and 22nd March 2026

|6 hour exam
|Choose any 3 tracks out of 4
|Multiple choice + numerical problems

What to Expect — Six hours. Three chosen tracks. Thirty problems total. Mixed-format questions test computational speed and conceptual understanding across your selected domains. Gaussian scoring normalizes difficulty—converting raw scores to Z-scores ensures fairness across tracks. Your strategic priority weighting (3:2:1) amplifies your strongest domain while rewarding consistency. The top 400 by weighted final score advance.

Medium — Conducted offline simultaneously at 25 premier institutions

Round 2

Online Open-Book Olympiad

25th March 2026

|4 hour exam
|6 comprehensive problems across tracks
|Long-form proof-based problems
|Top 400 candidates from Round 1

What to Expect — Four continuous hours. Six comprehensive proof-based problems spanning every track. Open-book format rewards depth over memorization—textbooks, notes, references, AI tools permitted. Only human collaboration forbidden. Secure proctored platform with identity verification ensures integrity. Problems demand rigorous reasoning, elegant proof construction, and deep mathematical maturity. Top 40 by raw score advance to the finale.

Medium — Online

Round 3

The Grand Finale (2-Day In-Person Event)

11th and 12th April 2026

|2 days of intensive mathematical challenges
|Top 40 finalists
|Multiple components

What to Expect — Multi-component assessment across two intensive days. Speed rounds test rapid problem-solving reflexes. Proof-writing challenges demand mathematical elegance under pressure. Presentations evaluate your ability to communicate complex reasoning. Discussion rounds probe conceptual depth. The finale separates computational skill from true mathematical creativity. Champions emerge

Medium — To be conducted offline at IIT Delhi

25 Test Centres Across
Entire India

From IITs to IISc, from premier NITs to leading research institutes—The Integral Cup 2026 brings rigorous mathematical competition directly to India's top academic institutions. Compete locally. Think nationally. Round 1 preliminary examinations conducted simultaneously across 25 centers spanning North, South, East, West, and Central India in March 2026.

North India

IIT Delhi – New Delhi

IIT Roorkee – Uttarakhand

IIT Ropar – Punjab

IIT Jodhpur – Rajasthan

IIIT Delhi – New Delhi

BITS Pilani – Rajasthan

IIT BHU Varanasi – Uttar Pradesh

IIT Kanpur – Uttar Pradesh

East India

IIT Kharagpur – West Bengal

IIT Bhubaneswar – Odisha

IIT Patna – Bihar

ISI Kolkata – West Bengal

IIT ISM Dhanbad – Jharkhand

West India

IIT Bombay – Maharashtra

IIT Gandhinagar – Gujarat

BITS Goa – Goa

South India

BITS Hyderabad – Telangana

IIT Madras – Tamil Nadu

IIT Hyderabad – Telangana

IIT Tirupati – Andhra Pradesh

IISc Bangalore – Karnataka

ISI Bangalore – Karnataka

IIIT Bangalore - Karnataka

Central India

IIT Indore – Madhya Pradesh

IIT Bhilai - Chattisgarh

Northeast India

IIT Guwahati – Assam

Centre Selection

1. Registration Basis: First-come, first-served. Choose your preferred test center during registration - availability closes once capacity is reached.

2. External Applicants: Students applying to write exams at centers outside their home institution undergo merit-based selection - evaluated on previous mathematical achievements, competition records, academic CV, and demonstrated excellence in relevant domains.

Eligibility

Who Can Participate?

|Currently enrolled undergraduate students at any recognized Indian university or institute during the competition period (March–April 2026 for Season 1, August–October 2026 for Season 2)
|All academic years and branches eligible — 1st year through final year students from any discipline (Engineering, Science, Mathematics, etc.) can participate
|No age restrictions — eligibility based solely on current undergraduate enrollment status
|Single registration per season — participants register once per season, select 3 out of 4 available tracks, and compete across all three rounds

General Rules

|Valid student ID and admit card mandatory
|No electronic devices during offline exams (calculators provided if needed)
|Academic integrity strictly enforced
|Formula sheets provided for all tracks
|Detailed rules shared post-registration

FAQ

All undergraduate students currently enrolled in registered colleges and universities across India are eligible to participate, regardless of branch or year of study.

No! The Integral Cup is completely free to participate in.

The competition is open to all undergraduate students in India. Participants with prior experience in competitive mathematics or Olympiad-level problem-solving are encouraged. Selection for Round 2 and Round 3 is based on performance in previous rounds.

Syllabus has been uploaded to #announcements. Our Discord #archive contains questions asked in previous competitions. Sample papers have been uploaded, find them at #resources.

You must participate in exactly 3 out of 4 available tracks (Integration and Analysis, Games and Game Theory, Probability and Statistics, and Linear Algebra) to qualify for Round 2.

Yes! Travel and accommodation will be reimbursed for the Grand Finale (Round 3) for participants from outside the host city, subject to organizational guidelines.

If your college did not register for the Integral Cup, you may still register individually and be allowed to sit the exam in a nearby campus center, based on the discretion of the organizing team. (For example, previous/proven merit or special circumstances.)

Still have a question? Contact us.

|General Inquiries: info@stemvibe.org
|Registration Support: integralcup@stemvibe.org

|Phone: +91 78610 80021 (10 AM – 6 PM IST, Mon–Sat)
|WhatsApp: +91 78610 80021