CMI’s four-year B.S. (Honours) programmes in Mathematics, Mathematics and Computer Science.
Random variables
Elementary Probability
Conditional Probability
Statements and Quantifiers
Problem-solving reasoning
Proof Methods
Matrices and Determinants
Calculus - Unit 1
Unit 1 — Calculus
Unit 2 — Calculus
Calculus-based reasoning
Integral Calculus
Differentiation
Basic Counting
Discrete structures and strategy
Paths and Recurrences
Polynomials and Equations
Algebraic Expressions
Relations and Functions
Sequences and Series
Divisibility and Factorisation
Modular Arithmetic
Number-theoretic reasoning
Integer Equations
Trigonometry
Complex Numbers
Transformational and Locus Geometry
Euclidean Geometry
Coordinate Geometry
Algebraic inequalities
Functional and sequence inequalities
Random variables
Elementary Probability
Conditional Probability
Statements and Quantifiers
Problem-solving reasoning
Proof Methods
Matrices and Determinants
Calculus - Unit 1
Unit 1 — Calculus
Unit 2 — Calculus
Calculus-based reasoning
Integral Calculus
Differentiation
Basic Counting
Discrete structures and strategy
Paths and Recurrences
Polynomials and Equations
Algebraic Expressions
Relations and Functions
Sequences and Series
Divisibility and Factorisation
Modular Arithmetic
Number-theoretic reasoning
Integer Equations
Trigonometry
Complex Numbers
Transformational and Locus Geometry
Euclidean Geometry
Coordinate Geometry
Algebraic inequalities
Functional and sequence inequalities
Random variables
Elementary Probability
Conditional Probability
Statements and Quantifiers
Problem-solving reasoning
Proof Methods
Matrices and Determinants
Calculus - Unit 1
Unit 1 — Calculus
Unit 2 — Calculus
Calculus-based reasoning
Integral Calculus
Differentiation
Basic Counting
Discrete structures and strategy
Paths and Recurrences
Polynomials and Equations
Algebraic Expressions
Relations and Functions
Sequences and Series
Divisibility and Factorisation
Modular Arithmetic
Number-theoretic reasoning
Integer Equations
Trigonometry
Complex Numbers
Transformational and Locus Geometry
Euclidean Geometry
Coordinate Geometry
Algebraic inequalities
Functional and sequence inequalities
Random variables
Elementary Probability
Conditional Probability
Statements and Quantifiers
Problem-solving reasoning
Proof Methods
Matrices and Determinants
Calculus - Unit 1
Unit 1 — Calculus
Unit 2 — Calculus
Calculus-based reasoning
Integral Calculus
Differentiation
Basic Counting
Discrete structures and strategy
Paths and Recurrences
Polynomials and Equations
Algebraic Expressions
Relations and Functions
Sequences and Series
Divisibility and Factorisation
Modular Arithmetic
Number-theoretic reasoning
Integer Equations
Trigonometry
Complex Numbers
Transformational and Locus Geometry
Euclidean Geometry
Coordinate Geometry
Algebraic inequalities
Functional and sequence inequalities
CMI’s four-year B.S. (Honours) programmes in Mathematics, Mathematics and Computer Science.
| Metric | 2025 cycle |
|---|---|
| Highest CTC | ₹ 47 LPA |
| Average CTC | ₹ 18 LPA |
| Median CTC | ₹ 17 LPA |
| Placement ratio | ~ 80 % (rest choose MS/PhD abroad) |
| Top recruiters | Google, Jane Street, Adobe, Tower Research, Morgan Stanley |
A four-year honours programme that fuses deep mathematics with modern computer science.
This page answers the big five questions students ask:
1. What is the CMI entrance exam?
2. Who can apply and what are the exact eligibility rules?
3. What is the paper pattern and marking scheme?
4. What topics appear in the syllabus?
5. How do I prepare effectively in 12 weeks?
The information below reflects the official schedule published for the August 2026 intake.
| Milestone | Date |
|---|---|
| Online form opens | 2 Mar 2026 |
| Form & fee deadline | 4 Apr 2026 - 23:59 IST |
| Admit card download | 25 Apr 2026 |
| Exam day | 2 May 2026 (14 : 00 - 17 : 00) |
| Results | ≈ early June 2026 |
Test centres (34 total)
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, Visakhapatnam. :contentReference[oaicite:0]{index=0}
| Part | Section type | Questions | Marks | Negative | Notes |
|---|---|---|---|---|---|
| A | MCQ (single-correct) | 10 | 40 | -1 per wrong | Minimum 24 / 40 needed for Part B to be evaluated |
| B | Six long-answer proofs | 6 | 60 | 0 | Step-wise marking for rigour |
| Total | 16 | 100 | 3-hour pen-and-paper test |
*Paper date*: 2 May 2026 (14:00 - 17:00 IST) :contentReference[oaicite:0]{index=0}.
Pattern remains unchanged from the 2025 cycle :contentReference[oaicite:1]{index=1}.
1. Register online at apply2026.cmi.ac.in (₹ 1 000).
2. Fill personal + Class 12 details; upload photo/signature.
3. Pay fee → receive confirmation e-mail.
4. Download admit card from 25 Apr 2026.
5. Write exam on 2 May 2026 at chosen centre.
6. If selected (cut-off met), complete on-campus counselling and pay first-semester fee within 7 days. :contentReference[oaicite:1]{index=1}
| Phase | Weeks | Focus | Deliverable |
|---|---|---|---|
| Concept Build | 1 - 4 | Finish theory; make flash cards | All core formulas memorised |
| Drill | 5 - 8 | Daily 30 MCQ + 1 proof | Error log & weekly recap |
| Mock Loop | 9 - 11 | Six full papers under 3-h timer | Analytics + topic-wise fix |
| Taper | 12 | Light revision, sleep hygiene, exam-day kit | Ready checklist |
Tip: aim for ≥ 24/40 in Part A by week 8-the gate to having Part B evaluated.
| Unit | Key topics |
|---|---|
| Logic & Proofs | Statements, induction, contradiction |
| Algebra & Number Theory | Modular arithmetic, binomial theorem, inequalities |
| Geometry & Trigonometry | Euclidean geometry, coordinate geometry, trig identities |
| Calculus | Limits, continuity, derivatives, integrals, sequences & series |
| Combinatorics | Permutations, combinations, Pigeonhole principle, basic graph ideas |
| Probability | Random variables, expectation, basic distributions |
Complete lecture notes (250 pages) covering all six units, each with:
1. Concept exposition
2. Worked examples
3. “Checkpoint” quizzes
4. Proof templates
5. End-of-unit mixed drill
Cheat-sheets for last-week revision: formula tables, derivative ladders, binomial identities, common proof tricks, algorithm pseudocode snippets.
430 previous-year questions sorted into 42 chapters + 820 fresh practice problems (difficulty graded Easy → Advanced).
15 timed mocks that mimic the latest pattern (MCQ gate → long proofs) with instant analytics and percentile ranking.
| Sem | Core Papers | Lab / Seminar | Open Elective | Milestone |
|---|---|---|---|---|
| I | Calculus I · Discrete Maths | Intro Python | - | Quiz-1 |
| II | Linear Algebra · Probability | DS & Algo Lab | - | Hackathon |
| III | Calculus II · Algorithms | C++ Lab | - | Mini-proj |
| IV | Abstract Algebra · Statistics | R Lab | 1 | Mini-thesis |
| V | Real Analysis · Combinatorics | ML Basics | 1 | Term Paper |
| VI | Graph Theory · Number Theory | Advanced Python | 1 | Internship |
| VII | Numerical Methods · Topology | Research Seminar | 2 | Thesis - Part 1 |
| VIII | Electives (2) | Thesis Workshop | 2 | Thesis - Defence |
| Time | Activity |
|---|---|
| 07 : 30 | Breakfast & daily puzzle |
| 09 - 13 | Lectures / tutorials |
| 14 - 16 | Lab / library research |
| 16 : 15 | Tea break & Ultimate Frisbee |
| 18 : 00 | Club meets / seminar talk |
| 21 : 00 | Self-study or gaming jam |
> Rajiv ’19 → Quant Analyst, Jane Street
> “Proof drills in Part B prepared me for brain-teaser interviews.”
> Sneha ’20 → PhD, MIT EECS
> “The research seminar in Sem VII gave me my first paper and a strong letter.”
| Feature | CMI BS (Hons) | ISI BMath | IISc BSc (Research) |
|---|---|---|---|
| Intake | 60 | 50 | 120 |
| Fees / yr | ₹ 1.2 L | ₹ 20 k | ₹ 2 L |
| Core focus | Maths + CS | Pure Maths | Inter-disciplinary STEM |
| Entrance difficulty | High | Very High | Moderate |
| Avg CTC | ₹ 18 LPA | ₹ 12 LPA | ₹ 24 LPA |
| Research thesis | Mandatory (Sem VIII) | Optional | Optional |
Graduates land roles in quantitative finance, software engineering, data science and research-oriented positions. About 20 % of the class proceeds directly to funded MS/PhD programmes at institutes such as MIT, ETH Zürich, CMU and IISc. On-campus recruitment typically happens in January, with resume workshops and mock interviews run by the alumni network.
Graduates exit with deep mathematical rigour plus practical coding skill, ready for top MS/PhD programmes or high-impact tech roles.
1. Abstract reasoning & problem formalisation
2. Algorithmic thinking & software engineering discipline
3. Quantitative data analysis competency
4. Scientific communication-LaTeX papers & oral defence
5. Independent research capability
Python · C++ · R · MATLAB · Git · LaTeX · Linux
Concept → Practice → Mock → Review → Revise
> Master each unit, drill with chapter-wise sets, sit full mocks, analyse gaps, then do targeted revision.
Proof-centric exam: Calculus + Linear Algebra dominate Part A; discrete-maths proofs headline Part B. Master fundamentals, then practise timed proofs for speed & clarity.
Logic,Algebra,Geometry,Calculus,Combinatorics,Probability
| Part | Marks | Typical topic mix (last 3 yrs) |
|---|---|---|
| A (40 marks) | MCQ + NAT | Calculus 40 % · Linear Algebra 30 % · NT/Combinatorics 30 % |
| B (60 marks) | Long proofs | Proof-based problems drawn roughly 1 each from calculus, combinatorics, number theory, geometry, algebra, inequalities |
Key rule: Part B is *checked only if you score ≥ 24 / 40 in Part A*. :contentReference[oaicite:3]{index=3}
| Year | Highest (₹ L) | Average (₹ L) | Median (₹ L) |
|---|---|---|---|
| 2025 | 47 | 18 | 17 |
| 2024 | 62 | 18 | 16 |
| 2023 | 20 | 16 | 15 |
*Insight*: Highest offers fluctuate with quant-firm intake, but average has held between ₹ 16-18 LPA for three years, signalling stable market demand.
| Year | Part A screen (40) | Overall cut-off - *No scholarship* | Overall cut-off - *With scholarship* |
|---|---|---|---|
| 2025 | 16 | 47 (Gen) · 44 (Others) | 59 (Gen) · 49 (Others) |
| 2024 | 11 | 47 (Gen) · 39 (Others) | 58 (Gen) · 47 (Others) |
| 2023 | 8 | 36 (Gen M) · 33 (Others) | - |
*Sources*: cmientranceexam.in cut-off archive :contentReference[oaicite:0]{index=0} and student-shared data matched by MathDigiLab :contentReference[oaicite:1]{index=1}.
#### What this means for 2026
We will update this table on result day for real numbers.
Exam-day checklist