EXAMINATION

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

What is the Integral
Cup Examination?

Registration Open
Integral Cup Examination

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 20 Dec, 2025 – 28 Feb, 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

15th March

  • |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 30+ premier institutions

Round 2

Online Open-Book Olympiad

21 and 22nd 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 — Secure online proctoring with identity verification

Round 3

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

13th and 14th April

  • |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 — IIT Delhi

    30 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 30 centers spanning North, South, East, West, and Central India in March 2026.
    North India

    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

    East India

    IIT Kharagpur – West Bengal
    IIT Bhubaneswar – Odisha
    IIT Guwahati – Assam
    IIT Patna – Bihar
    ISI Kolkata – West Bengal
    IIT ISM Dhanbad – Jharkhand
    West India

    West India

    IIT Bombay – Maharashtra
    IIT Gandhinagar – Gujarat
    BITS Goa – Goa
    South India

    South India

    BITS Hyderabad – Telangana
    IIT Madras – Tamil Nadu
    IIT Hyderabad – Telangana
    IIT Tirupati – Andhra Pradesh
    IISc Bangalore – Karnataka
    ISI Bangalore – Karnataka
    GITAM Visakhapatnam – Andhra Pradesh
    Central India

    Central India

    IIT Indore – Madhya Pradesh
    IIT Bhilai - Chattisgarh

    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 https://discord.com/channels/1437093118527803516/1440582503604814006/1454073752848564347. The <#1453480507982610698> contains questions asked in previous competitions. Sample papers have been uploaded, find them at https://discord.com/channels/1437093118527803516/1437302400284229652/1454081799851610233. (Do also keep an eye on the <#1437302400284229652> channel for additional material.)

    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.

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