CMI — Syllabus, Exam Pattern, PYQs and Preparation

Chennai Mathematical Institute (CMI) is a UGC-recognised research university in Siruseri, Tamil Nadu, offering B.S. (Honours), M.Sc., and Ph.D. programmes in Mathematics, Computer Science, and Physics. Admission to every programme is decided solely through the CMI Entrance Exam, held annually in May at centres across India, with no other national exam accepted.

Short Description

Detailed Description

Founded in 1989 by mathematician C. S. Seshadri, Chennai Mathematical Institute (CMI) has grown into one of India's most respected centres for research and teaching in the mathematical sciences. It was formally recognised as a university under Section 3 of the UGC Act in December 2006, and it directly awards its own B.S., M.Sc., and Ph.D. degrees rather than routing them through a parent university. CMI runs three four-year B.S. (Honours) tracks — Mathematics; Mathematics and Computer Science; and Mathematics and Physics — alongside two-year M.Sc. programmes in Mathematics, Computer Science, and Data Science, and doctoral programmes in all three disciplines. The first two years of undergraduate study are common to all B.S. students, after which they choose Computer Science or Physics as a second subject, giving the curriculum a distinctly mathematics-first structure compared to most Indian science degrees. Faculty are active researchers with published work spanning algebra, analysis, topology, algorithms, complexity theory, and quantum field theory, and the institute maintains active exchange partnerships with ENS Paris, ANU Canberra, and CNRS in France.

Introduction

For a certain kind of student — the one solving contest problems for fun rather than marks, who finds the school Maths syllabus too slow — the CMI Entrance Exam is often the first exam that actually asks them to think. Chennai Mathematical Institute (CMI) is a small, research-intensive institute rather than a large university campus, and it deliberately keeps its intake tight: undergraduate offers are counted in the low hundreds each year, not thousands, across all three B.S. (Honours) tracks combined. Aspirants generally fall into two groups. The first, and larger, is Class 12 students applying to the four-year B.S. (Honours) programmes in Mathematics, Mathematics and Computer Science, or Mathematics and Physics — many with an olympiad background, though a strong olympiad record is not a prerequisite. The second is graduating or graduate students applying to the two-year M.Sc. programmes in Mathematics, Computer Science, or Data Science, or to the Ph.D. tracks, often as a parallel or fallback option alongside ISI, IISc, or IIT-JAM applications. What distinguishes CMI's entrance exam from most Indian competitive exams is its format: Part A is a screening section of objective and numerical-answer questions, but Part B asks candidates to write full mathematical proofs and solutions by hand — the same style of thinking used in research mathematics, not multiple-choice pattern recognition. This makes rote practice less useful than genuine conceptual fluency and clear written reasoning. The exam is widely regarded, alongside the Indian Statistical Institute's entrance test, as one of the most conceptually demanding undergraduate mathematics exams in the country. A strong Class 12 board record helps but does not guarantee selection; CMI is explicit that the written exam, not board marks or a separate aptitude score, is what decides admission for almost every applicant.

Fees Scholarships

CMI's tuition for the B.S. (Honours) programmes and the M.Sc. programmes in Mathematics and Computer Science is Rs 1,25,000 per semester (two semesters a year), while M.Sc. Data Science is priced higher at Rs 2,50,000 per semester, for the 2026–27 cycle. Reported application fees for this cycle are around Rs 1,000 for B.S. applicants and Rs 750 for M.Sc. applicants, paid online and non-refundable. Financial support is substantial and multi-layered. Around 30–35 full-tuition B.S. scholarships are awarded each year, covering all four years plus a monthly fellowship of Rs 5,000 (continuation depends on academic performance after the first semester). M.Sc. Mathematics and Computer Science admits are eligible for a similar two-year full-tuition scholarship with a Rs 6,000 monthly stipend. Separately, income-based waivers apply regardless of scholarship status: families earning up to Rs 8 lakh a year get a 100% B.S. tuition waiver (40% for M.Sc.), and those up to Rs 12 lakh get 50% (25% for M.Sc.). Ph.D. scholars pay no tuition and receive a monthly research stipend of Rs 37,000 (first two years) rising to Rs 42,000 (years three to five), plus a Rs 10,000 annual contingency grant. Hostel and mess charges run around Rs 31,310 per semester. [NEEDS VERIFICATION: exact 2026 application fee amounts — CMI's own admissions pages describe fees as "fixed each year and announced via the CMI Admissions webpage" without stating the figure directly; the numbers above are consistently reported across several independent exam-prep sources for this cycle.]

Preparation Tips

CMI's entrance exam rewards depth over speed, so a good prep plan is built around proof-writing, not just problem count. 1. **Map the syllabus honestly.** Part A and Part B both draw mostly from Class 11–12 mathematics — algebra, coordinate geometry, trigonometry, calculus, combinatorics, number theory, and sequences — but tested at a level of abstraction well beyond board exams. Before doing anything else, go through each topic and mark where your understanding is procedural ("I know the steps") versus conceptual ("I could prove why the steps work"). CMI's Part B specifically punishes the first kind of preparation. 2. **Rebuild weak topics with proof-first material, not shortcut tricks.** For each weak area, work through a proof-oriented reference (see Recommended Books) rather than a formula-sheet guide. Number theory, inequalities, and algebraic manipulation deserve disproportionate time since they recur across both Part A statement-style questions and Part B problems. 3. **Layer in daily problem-solving once the syllabus foundation is stable** — aim for a mix of routine practice (to keep speed on Part A-style questions) and 2–3 genuinely hard, multi-step problems a day (to build Part B stamina). MastersUp's chapter-wise CMI practice sets are organised this way, moving from foundational to olympiad-adjacent difficulty within each topic. 4. **Start previous year papers early, not at the end.** CMI's official website has released papers going back to 2010 — work through at least the last 6–8 years fully, timing yourself on Part A and writing out full Part B solutions by hand, since the exam format has stayed structurally consistent even as individual questions change. Review not just whether your final answer was right, but whether your written proof would have earned full marks from a strict grader. 5. **Run full-length, timed mocks in the final 6–8 weeks.** Simulate the real constraint: Part A on a computer-style interface, Part B handwritten on paper, roughly 3 to 3.5 hours total depending on your track. Because Part A uses a no-penalty "No Attempt" option instead of traditional negative marking, mocks should also train the judgment call of when to skip a statement rather than guess. 6. **Revise by rebuilding proofs from memory, not rereading notes.** In the last two weeks, close the book and try to reconstruct key theorems and problem-solving templates from scratch; this mirrors what the actual Part B exam demands under time pressure. **Time-allocation profiles** - **Early starter (Class 11, 12+ months out):** ~1–1.5 hours/day on syllabus depth and proof-writing practice for the first 6 months, rising to 2–3 hours/day (including one full-length PYQ a week) in the final 3 months. - **Focused six-month prep:** ~2 hours/day for the first 3 months on topic-by-topic conceptual rebuilding, shifting to 3–4 hours/day for the last 3 months, split evenly between problem sets, PYQs, and timed mocks. - **Late starter (8–10 weeks):** Skip broad syllabus review; triage to your 4–5 weakest topics first, then spend the remaining time almost entirely on PYQs and mocks — at this stage, exposure to CMI's actual question style matters more than covering every topic.

Why Choose

CMI's biggest differentiator isn't the classroom — it's who else is in it. Class sizes are small enough that undergraduates are taught directly by active researchers, not primarily by teaching assistants, and the same faculty who set the entrance exam also teach the graduate-level courses students take from their third year onward. Outcomes back this up: CMI reports that essentially all students seeking campus placement are placed, with average packages in the Rs 18–20 lakh range in recent years, and alumni have gone on to PhDs and faculty positions at Berkeley, MIT, Princeton, Stanford, IISc, TIFR, and ISI, among others. For students aiming at research rather than industry, CMI's formal exchange agreements with ENS Paris and ENS Paris-Saclay, a joint CNRS research lab (IRL ReLaX) since 2017, and an Australian National University internship partnership give undergraduates real international research exposure years before most Indian students get it. It's also one of the few Indian institutes with a genuinely diversified, largely non-state funding base — support from NBHM/DAE, the Shriram Group, Infosys Foundation, and Microsoft Research, among others — which shows up in a curriculum that changes faster than most public university syllabi.

Faqs

## Eligibility & Applications **Q: Who is eligible for CMI's B.S. (Honours) programmes?** A: Students who have passed, or expect to pass in 2026, Class 12 (or an equivalent board exam) are eligible for all three B.S. (Honours) tracks — Mathematics; Mathematics and Computer Science; and Mathematics and Physics. There's no fixed subject-combination requirement, but since the entrance exam tests mathematics up to the Class 12 level, a strong background in the subject is effectively necessary to clear it. **Q: Is there an age limit to appear for the CMI Entrance Exam?** A: CMI does not publish an upper or lower age limit for any of its programmes. Eligibility is based entirely on academic qualification — Class 12 completion for B.S., a relevant bachelor's degree for M.Sc., and a relevant master's or bachelor's degree for Ph.D. — rather than the candidate's age. **Q: How many times can I attempt the CMI Entrance Exam?** A: CMI does not publish a cap on the number of attempts. As long as you meet the academic eligibility for the programme you're applying to, you can reappear in a later year if you weren't selected. There's also no rule barring current CMI students from reapplying to a different programme. **Q: Can international or NRI students apply to CMI?** A: CMI does not operate a separate NRI or management quota — all admissions, including for foreign nationals, go through the same CMI Entrance Exam and merit process. If you're applying from outside India or hold a foreign qualification, it's worth emailing admissions@cmi.ac.in directly to confirm document equivalence before the deadline. [NEEDS VERIFICATION: CMI's exact process for foreign-qualified applicants.] **Q: What documents do I need to apply?** A: A valid email ID and mobile number, scanned copies of your photograph and signature, and your Class 10/12 mark sheets (or equivalent qualifying degree certificates for M.Sc./Ph.D. applicants). Reserved-category candidates should also have their caste/tribe, disability, or EWS certificate ready in CMI's prescribed format, though these are submitted at admission rather than at application. **Q: Are there subject prerequisites for M.Sc. programmes?** A: Yes — M.Sc. Mathematics requires a bachelor's degree with a strong mathematics background; M.Sc. Computer Science requires a strong computer science background; and M.Sc. Data Science accepts backgrounds in mathematics, statistics, or computer science. A B.A., B.Sc., B.Math, B.Stat, B.E., or B.Tech degree is acceptable as long as the subject background matches. ## Exam Pattern & Syllabus **Q: What is the CMI Entrance Exam pattern?** A: The B.S. exam is typically 100 marks split into Part A (40 marks, screening — a mix of True/False/No-Attempt statement questions and numerical-answer questions, answered on a computer) and Part B (80 marks, six descriptive problems requiring full written solutions on paper). Exact question counts vary slightly year to year, but the 40/80 mark split has stayed consistent. **Q: Is there negative marking in the CMI exam?** A: Not in the traditional sense. Numerical-answer questions carry no penalty for wrong answers. For the statement-based objective questions, each has a "No Attempt" option: answering all parts correctly earns full marks, but getting even one part wrong zeroes out that entire question — so guessing is discouraged even without a separate negative score. **Q: Do I need to attempt every question in Part B?** A: No — Part B typically has six problems, and a strong score usually comes from solving a subset of them well rather than attempting all six superficially. Many candidates only get Part B graded at all if they clear a Part A screening threshold, so a strong Part A performance matters even though it's worth fewer total marks. **Q: What topics does the CMI B.S. entrance exam cover?** A: The exam draws mostly from Class 11–12 mathematics — algebra, coordinate geometry, trigonometry, calculus, combinatorics, and number theory — but questions are framed as genuine problem-solving rather than formula recall. CMI doesn't publish a fixed chapter-by-chapter list; recurring themes across past papers are a better guide than any single syllabus document. **Q: How is the M.Sc. Computer Science exam different from the B.S. exam?** A: It tests aptitude for computer science specifically — discrete mathematics, logical reasoning, programming, formal languages and automata theory, data structures and algorithms, probability theory, calculus, and linear algebra — rather than the pre-calculus Class 12 mathematics tested for the B.S. programmes. ## Fees, Scholarships & Reservation **Q: How much does the CMI B.S. programme cost?** A: Tuition is Rs 1,25,000 per semester (Rs 2,50,000 a year) for the 2026–27 cycle, before any scholarship or waiver. With hostel and mess charges of roughly Rs 31,310 per semester added in, the sticker price for four years runs into several lakhs — though most admitted students end up paying significantly less after scholarships and income-based waivers. **Q: Who qualifies for a full scholarship at CMI?** A: Around 30–35 B.S. entrants each year — typically the strongest scorers — receive a full four-year tuition waiver plus a Rs 5,000/month fellowship. Separately, income-based waivers apply to any admitted student regardless of scholarship status: families earning up to Rs 8 lakh/year get a 100% tuition waiver, and up to Rs 12 lakh get 50%. **Q: Does CMI have quota-based reservation?** A: Yes. CMI follows the Government of India's reservation policy for SC, ST, OBC-Non-Creamy-Layer, Persons with Disabilities (40%+ impairment), and EWS (family income below Rs 8 lakh) categories, with proportional representation among candidates who meet the relaxed qualifying score for their category. **Q: What documents do reserved-category candidates need?** A: Original SC/ST/OBC-NCL certificates from a competent authority, a disability certificate for the PwD category, or an income-and-asset certificate for EWS — all in CMI's prescribed formats, available on the admissions website — required at the time of admission, not the application stage. **Q: Is the application fee refundable?** A: No. CMI explicitly states that application fees for admission to any of its programmes are non-refundable, regardless of whether you sit the exam or are later selected. ## Results, Selection & Counselling **Q: Does CMI publish a rank list or cutoff marks?** A: No. CMI does not rank admitted students — result lists are ordered by Applicant ID, not by score — and it does not publish a numeric qualifying or cutoff mark for any programme. [NEEDS VERIFICATION: whether CMI discloses score information privately to individual candidates on request.] **Q: Is there a waiting list if I'm not selected initially?** A: Historically, no — CMI's B.S. results pages have explicitly stated there is no waiting list. If you aren't on the initial selection list, there generally isn't a subsequent offer round for that cycle. **Q: Do all M.Sc. and Ph.D. applicants get an interview?** A: Not uniformly. M.Sc. Mathematics admits and every Ph.D. track go through an in-person interview in Chennai after the written exam. M.Sc. Computer Science and M.Sc. Data Science admits are typically selected directly from the written exam, with an interview only triggered if you've applied to multiple M.Sc. programmes under a different qualifying exam. **Q: When does the CMI academic session start?** A: Based on the current admissions cycle, the session for newly admitted students begins in August, with the first semester running August to November and the second running January to April — a pattern that has held consistently across recent years. ## Logistics & Special Cases **Q: Can Olympiad medalists skip the CMI B.S. entrance exam?** A: Students with exceptionally strong performance in the National Science Olympiads (Mathematics, Physics, or Informatics) may be exempted from writing the B.S. entrance exam, at the discretion of CMI's Admissions Committee — this isn't automatic, and CMI evaluates each case individually. **Q: Is the CMI campus residential?** A: Yes, for most students. The B.S. (Honours) programmes and the M.Sc. Mathematics and Computer Science programmes are fully residential, with hostel accommodation on the Siruseri campus. M.Sc. Data Science is the one programme without hostel accommodation. **Q: Can I apply to more than one CMI programme in the same year?** A: For M.Sc. programmes, yes, within limits — depending on which entrance exam you sit, you can apply to some combination of M.Sc. Mathematics, Computer Science, and Data Science. For Ph.D., you can apply to only one of Ph.D. Mathematics, Ph.D. Computer Science, or Ph.D. Physics per cycle, though Ph.D. Mathematics/ Computer Science can be combined with the corresponding M.Sc. track under a shared entrance exam. **Q: What should I carry to the exam centre?** A: Your printed admit card (no photo or signature needed on it) along with a valid government-issued photo ID, such as an Aadhaar card or passport, or an attested school/college ID. Since Part A is answered directly on a computer, it helps to familiarise yourself with the format from CMI's official sample papers beforehand. **Q: Is offline (postal) application possible if I can't apply online?** A: CMI's process is primarily online, but candidates in genuinely remote areas without reliable internet access have historically been able to request a hard-copy application form by post or email — handled case by case, so it's best to contact admissions@cmi.ac.in well before the deadline.

Syllabus

CMI runs a genuinely different entrance exam for each programme level, so "the CMI syllabus" is really four separate syllabi stitched together by a shared testing philosophy: conceptual problem-solving over formula recall. For the four-year B.S. (Honours) programmes — Mathematics; Mathematics and Computer Science; and Mathematics and Physics — all applicants sit the same single B.S. entrance exam regardless of which of the three tracks they eventually choose. It draws mostly from Class 11–12 mathematics (algebra, coordinate geometry, trigonometry, calculus, combinatorics, number theory), but the actual choice between a Mathematics, Computer Science, or Physics specialisation doesn't happen until after the first semester at CMI itself — so there's no separate "CS-focused" or "Physics-focused" version of the B.S. entrance syllabus to prepare for. For postgraduate applicants, the syllabus splits by subject instead: the M.Sc./Ph.D. Mathematics exam tests algebra, real analysis, complex analysis, and calculus at an undergraduate-degree level; the M.Sc./Ph.D. Computer Science exam tests discrete mathematics, programming, algorithms, automata theory, probability, and linear algebra; and the M.Sc. Data Science exam sits between the two, testing school-level mathematics, discrete mathematics, probability theory, and programming. Ph.D. Physics has its own separate physics-aptitude exam. Because the B.S. exam is common across specialisations, the most efficient sequencing for a Class 12 aspirant is to build broad mathematical fluency first — proof-writing and problem-solving across all core topics — rather than trying to guess which specialisation-specific material might show up. Postgraduate aspirants, by contrast, should sequence preparation tightly around their target track's syllabus from day one, since the Mathematics, Computer Science, and Data Science postgraduate exams share very little topical overlap. On MastersUp, CMI's chapter and topic breakdowns are organised to mirror this structure: a single shared pool for B.S.-level topics, and three separate tracks for the M.Sc./Ph.D. Mathematics, Computer Science, and Data Science syllabi, so you're always practising against the version of the exam you'll actually sit.

Campus

CMI's main campus sits inside the SIPCOT IT Park in Siruseri, on the southern outskirts of Chennai — roughly an hour from the city centre, in a tech-park setting rather than a traditional university town. A second campus, built to host the Dr F. C. Kohli Centre of Excellence and, eventually, a mathematics museum, was acquired in 2022 and is expected to become operational in 2026. The B.S. (Honours) programmes and the M.Sc. Mathematics and Computer Science programmes are fully residential, with students housed in on-campus hostels; M.Sc. Data Science is the exception, without hostel accommodation. Hostel and mess charges run around Rs 31,310 per semester, covering hostel fees, mess, and establishment charges, revised periodically for inflation. All students get access to a dedicated computer laboratory and a campus-wide high-speed wireless network. Beyond academics, the CMI Arts Initiative runs regular cultural programmes and seminars, and the undergraduate curriculum includes compulsory humanities electives — literature, economics, foreign languages, art, and music — a deliberate counterweight to the otherwise math-heavy coursework.

Admission Procedure

CMI runs one unified, chronological admission cycle each year across all its programmes, entirely online except for rare, case-by-case postal exceptions for remote applicants. **Application window:** For the 2026–27 cycle, the online application opened in early March 2026 and closed on April 4, 2026. Applicants create a login, fill in personal, academic, and contact details, choose their programme and preferred exam city (from roughly 37 centres nationwide), upload a photograph, signature, and academic mark sheets, and pay a non-refundable application fee online. **Admit card:** Released a few weeks before the exam — for 2026, this was April 25 — downloadable after logging back into the application portal. No photo or signature is required on the admit card itself, but candidates must carry a printed copy along with a valid government-issued photo ID to the test centre. **Entrance exam:** Held on a single day in a single afternoon sitting at all centres simultaneously — May 2, 2026, starting at 14:00, with different programme tracks finishing at either 17:00 or 17:30 depending on Part B length. The exam runs on the TCS iON platform: Part A is answered directly on a computer, and Part B is written by hand in a paper answer booklet. **Results and shortlisting:** CMI does not rank candidates — results are posted on the admissions website ordered by Applicant ID, generally within a few weeks of the exam. There's no published cutoff score and, for the B.S. programmes, historically no waiting list. Offer letters go out by email directly to selected candidates. **Interviews and counselling:** M.Sc. Mathematics admits and all Ph.D.-track shortlisted candidates are called for an in-person interview in Chennai, typically in June. M.Sc. Computer Science and Data Science admits are usually finalised straight from the written exam without an interview round. **Reservation:** SC, ST, OBC-Non-Creamy-Layer, Persons with Disabilities, and EWS candidates get a relaxed qualifying score and proportional representation as per Government of India policy; original category certificates are verified at the admission stage, not the application stage. **Session start:** The academic year for newly admitted students begins in August, with the first semester running through November.

Exam Pattern

Across every CMI programme, the entrance exam follows the same broad structure: a computer-based screening section (Part A) followed by a handwritten, proof-based section (Part B), sat in a single afternoon session at test centres nationwide. For the B.S. (Honours) programmes, the exam totals 100 marks — Part A worth 40 marks and Part B worth 80 marks. Part A mixes True/False/No-Attempt statement questions (where getting even one part of a multi-part statement wrong zeroes out that entire question, but leaving a part unattempted doesn't) with numerical-answer questions that carry no penalty for a wrong answer. Part B consists of six descriptive problems requiring full written solutions — though grading of Part B is typically only guaranteed for candidates who clear a minimum Part A score or rank among the top few hundred applicants by Part A performance, making Part A a genuine screening gate rather than just the first section. The M.Sc./Ph.D. Mathematics and Computer Science exams, and the M.Sc. Data Science exam, follow an analogous two-part objective-plus-descriptive structure, with subject matter drawn from their respective syllabi rather than Class 12 mathematics. Total exam duration runs roughly 3 hours for the Mathematics and Computer Science postgraduate tracks and 3 to 3.5 hours for the B.S. and Data Science tracks. There is no conventional single-mark-per-wrong-answer negative marking scheme anywhere in the exam; the "No Attempt" design instead makes careless guessing self-defeating without imposing a separate penalty score. [NEEDS VERIFICATION: exact current-year question counts within Part A, which have varied slightly across recent years even as the 40/80 mark split has stayed fixed.]

Pyqs

CMI is unusually transparent about its past papers — official question papers (and, for most years, full solutions) are available directly on CMI's admissions website going back to 2010 for the B.S. exam and the M.Sc./Ph.D. Computer Science and Mathematics exams, and back to 2018 for M.Sc. Data Science. A few patterns hold up across years: Part A's statement-based (True/False/No Attempt) questions and numerical-answer questions recur as the dominant format even as individual topics rotate; Part B consistently favours problems that combine two or three ideas (say, number theory with combinatorics, or calculus with algebraic manipulation) over single-concept questions; and difficulty within Part B tends to escalate roughly in question order, though this isn't a strict rule. On MastersUp, CMI's PYQs are organised year-by-year and cross-tagged by topic, so you can either work through a full historical paper under timed conditions or drill a single recurring theme — like inequalities or functional equations — across every year it's appeared, whichever better fits where you are in your prep.

Cutoff Trends

CMI is one of the few major Indian entrance exams that doesn't publish a numeric cutoff or qualifying score for any programme, and it doesn't rank selected candidates either — official result lists are ordered by Applicant ID, not score — which makes CMI's admission outcomes harder to benchmark against exams like JEE or CUET that publish percentile cutoffs. What is verifiable is the shape of selection each year, which gives a rough sense of competitiveness. In the 2026 cycle, CMI's official results page listed 132 total offers across the two B.S. (Honours) tracks combined (82 with scholarship, 50 without), with no waiting list — a small number relative to the tens of thousands of applicants competitive Indian science exams typically draw. Among the postgraduate tracks in the same cycle, M.Sc. Data Science had by far the largest intake, M.Sc. Computer Science a mid-sized one, and M.Sc. Mathematics and the various Ph.D. tracks each had single-digit interview shortlists — reflecting genuinely small cohort sizes for the more research-focused postgraduate programmes rather than any dramatic shift in difficulty. Anecdotally, CMI's Part B (the handwritten, proof-based section) is consistently described by past candidates and coaching resources as harder to clear than Part A, since a candidate can score reasonably on Part A's objective questions through pattern familiarity but still struggle to write a complete, rigorous proof under time pressure. [NEEDS VERIFICATION: exact year-over-year qualifying marks, applicant volume, and any directional trend in competitiveness, since CMI does not publish this data and third-party estimates vary widely.]

Short Notes

**Exam essentials** - 100 marks total for the B.S. exam: Part A = 40 marks (screening), Part B = 80 marks (six descriptive problems). - Part A mixes True/False/No-Attempt statement questions with numerical-answer questions; a wrong sub-part zeroes the whole statement question, but "No Attempt" costs nothing — never guess blindly. - Part B grading is typically gated: you need a minimum Part A score, or a top-few-hundred Part A rank, for Part B to even be evaluated. - No traditional negative marking anywhere in the exam. - Single afternoon sitting, roughly 3–3.5 hours depending on programme track. - Part A is answered on a computer (TCS iON platform); Part B is handwritten on paper. **Syllabus at a glance** - B.S. exam: Class 11–12 mathematics — algebra, coordinate geometry, trigonometry, calculus, combinatorics, number theory — tested as problem-solving, not recall. - M.Sc./Ph.D. Mathematics: algebra, real analysis, complex analysis, calculus (degree-level). - M.Sc./Ph.D. Computer Science: discrete mathematics, programming, algorithms, automata theory, probability, linear algebra. - M.Sc. Data Science: school-level math, discrete math, probability, programming. **Eligibility quick-check** - B.S.: Class 12 pass/appearing, any board. - M.Sc.: relevant bachelor's degree, subject background matching the track applied to. - Ph.D.: relevant master's (or, for some tracks, a strong bachelor's with research aptitude). - No age limit, no publicised attempt cap. - Olympiad medalists may get a B.S. entrance exemption at the Admissions Committee's discretion — not automatic. **Fees and money, in one line each** - B.S./M.Sc. Math/CS tuition: Rs 1,25,000/semester. M.Sc. Data Science: Rs 2,50,000/semester. - ~30–35 full B.S. scholarships/year + Rs 5,000/month fellowship. - Income-based waivers: family income ≤Rs 8L → 100% (BS) / 40% (MSc) waiver; ≤Rs 12L → 50% (BS) / 25% (MSc). - Ph.D.: zero tuition, Rs 37,000–42,000/month stipend + Rs 10,000/year contingency. - Hostel/mess: ~Rs 31,310/semester. **Admissions timeline shape (recurring pattern)** - Notification: February. Applications open: early March. Applications close: early April. - Admit card: ~3 weeks before exam. Exam: early-to-mid May. - Results: within weeks of the exam; no rank, no cutoff published, no waiting list (B.S.). - Interviews (Chennai, in person): M.Sc. Math + all Ph.D. tracks only, typically mid-June. - Session starts: August. **Night-before reminders** - Carry: printed admit card + government photo ID. - Prioritise Part A first — it gates whether Part B even gets graded. - In Part B, a complete, correct solution to 3–4 problems beats a rushed, incomplete attempt at all six. - Reservation-category candidates: category certificates are needed at admission, not application.

Important Dates

| Event | Date | |---|---| | Notification released | February 2026 | | Application window opens | ~March 1–2, 2026 | | Application window closes | April 4, 2026 | | Admit card release | April 25, 2026 | | Entrance exam | May 2, 2026 | | Results declared | ~June 2026 (exact date not fixed by CMI) | | M.Sc. Mathematics / Ph.D. interviews (Chennai) | Mid-June 2026 (reported) | | Academic session begins | August 2026 | Note: these are the confirmed dates for the 2026–27 admission cycle, sourced from CMI's own admissions portal. CMI has not yet announced 2027–28 dates at the time of writing; historically, the cycle repeats on a similar February-notification / March-application / May-exam pattern each year. [NEEDS VERIFICATION: precise 2027–28 cycle dates, once announced.]

Eligibility Criteria

Eligibility at CMI is set entirely by academic qualification, with no age limit and no published cap on the number of attempts for any programme. **B.S. (Honours) — Mathematics; Mathematics and Computer Science; Mathematics and Physics:** open to students who have passed, or expect to pass in the admission year, Class 12 or an equivalent board examination. There's no fixed subject-combination requirement, but the exam itself assumes strong Class 12-level mathematics. **M.Sc. Mathematics:** a bachelor's degree (B.A., B.Sc., B.Math, B.Stat, B.E., B.Tech, or equivalent) obtained or expected in the admission year, with a strong mathematics background. **M.Sc. Computer Science:** a similar bachelor's degree with a strong computer science background. **M.Sc. Data Science:** a bachelor's degree with a background in mathematics, statistics, or computer science. **Ph.D. Mathematics:** an M.Sc. in Mathematics or equivalent, or a bachelor's in Engineering/Science with strong research aptitude. **Ph.D. Computer Science:** a B.E./B.Tech/M.Sc./M.C.A., or a bachelor's in Science with strong research aptitude. **Ph.D. Physics:** an M.Sc. in Physics or equivalent. **Nationality:** CMI runs no separate NRI or management quota — all applicants, Indian or foreign, go through the same entrance exam and merit process; foreign-qualified applicants should confirm document equivalence with admissions directly. [NEEDS VERIFICATION: any distinct process for foreign nationals.] **Reservation:** SC, ST, OBC-Non-Creamy-Layer, Persons with Disabilities (40%+ impairment), and Economically Weaker Section (family income below Rs 8 lakh, not otherwise reserved) candidates get a relaxed qualifying score and proportional representation under Government of India policy, verified via category certificates at admission.

Exam Centers

CMI's entrance exam is held offline at test centres in 37 cities across India, spanning nearly every region — from Srinagar and Chandigarh in the north to Trivandrum and Coimbatore in the south, Ahmedabad and Goa in the west, and Agartala, Guwahati, Imphal, Shillong, and Silchar in the northeast. The full 2026 city list includes Agartala, Ahmedabad, Allahabad, Bangalore, Bhubaneswar, Calicut, Chennai, Cochin, Coimbatore, Durgapur, Goa, Gurgaon, Guwahati, Hyderabad, Imphal, Indore, Jaipur, Kanpur, Kolkata, Madurai, Mohali, Mumbai, Nagpur, New Delhi, Noida, Paschim Medinipur, Patna, Pune, Raipur, Ranchi, Shillong, Silchar, Siliguri, Srinagar, Tiruchi, Trivandrum, and Visakhapatnam. Candidates choose a preferred exam city while filling out the application form; the exact venue address within that city is confirmed only on the admit card, released a few weeks before the exam. Centre allocation isn't guaranteed to match every applicant's first choice — CMI reserves the right to assign an alternate nearby city depending on how many candidates opt for a given centre, though this is uncommon for the larger metro cities.

Scholarships Stipends

CMI layers three distinct types of financial support on top of each other, and admitted students can potentially benefit from more than one simultaneously. **Merit scholarships:** ~30–35 B.S. entrants a year (roughly the strongest scorers) get a full four-year tuition waiver plus a Rs 5,000/month fellowship, contingent on maintaining satisfactory academic performance after the first semester. M.Sc. Mathematics and Computer Science admits are eligible for an equivalent two-year full-tuition scholarship with a Rs 6,000/month stipend, awarded to a number of students roughly matching each programme's typical batch size. **Need-based waivers:** independent of merit scholarships, any admitted student whose family earns up to Rs 8 lakh/year gets a 100% tuition waiver for B.S. (40% for M.Sc.), and up to Rs 12 lakh/year gets 50% (25% for M.Sc.); M.Sc. Data Science waivers follow the same income bands as other M.Sc. tracks, with larger waivers considered case by case for significantly lower-income families. **Ph.D. stipends:** all Ph.D. scholars, regardless of merit ranking, receive Rs 37,000/month for the first two years and Rs 42,000/month for years three to five, plus a Rs 10,000 annual contingency grant and hostel access in year one (or a 30% housing allowance if living off-campus). Private contributors backing CMI's scholarship pool include Shriram General Insurance, the Cognizant Foundation, Trumpf Metamation, and Laxmi Charities, alongside CMI's own institutional funds.

Recommended Books

1. **Higher Algebra — Hall & Knight.** The standard reference for polynomial theory, theory of equations, and algebraic manipulation that recur throughout CMI's Part A statement questions. 2. **Plane Trigonometry — S.L. Loney.** Builds the trigonometric identity and equation-solving fluency CMI's Part A frequently tests, beyond what most Class 12 boards cover in depth. 3. **Challenge and Thrill of Pre-College Mathematics — V. Krishnamurthy et al.** An olympiad-style problem book that closely mirrors the non-routine, multi-step reasoning CMI's Part B demands, across combinatorics, number theory, and geometry. 4. **Problem-Solving Strategies — Arthur Engel.** A denser, more advanced companion once foundational topics are solid — useful for candidates aiming to comfortably clear the higher-difficulty end of Part B. 5. **Problems in Calculus of One Variable — I.A. Maron.** Pushes calculus practice well past board-exam level, directly useful for both the B.S. exam and M.Sc. Mathematics applicants. 6. **Introduction to Real Analysis — Bartle & Sherbert.** The standard first analysis text for M.Sc. Mathematics applicants moving from calculus to rigorous, proof-based analysis. 7. **Discrete Mathematics and Its Applications — Kenneth Rosen.** Matches CMI's own published M.Sc./Ph.D. Computer Science syllabus almost topic-for-topic — discrete math, logic, and combinatorics. 8. **Introduction to the Theory of Computation — Michael Sipser.** Covers automata theory and formal languages, an explicitly listed topic in CMI's Computer Science entrance syllabus.