21/07/2026
🎯 CMI UG & MSc ENTRANCE CRASH COURSE
BS (Hons.) Mathematics | Mathematics & Computer Science
MSc Mathematics | MSc Computer Science
Online Live Classes | Concept Notes | Problem-Solving | Previous Papers | Mock Tests | Doubt Support
Are you preparing for the Chennai Mathematical Institute entrance examination but finding ordinary board-level or university-level preparation insufficient?
CMI questions are designed to test much more than the ability to remember formulas. Students need strong mathematical reasoning, conceptual depth, logical thinking, problem-solving creativity and the ability to present complete solutions.
Dr. Sourav Sir’s Classes introduces a specialised CMI Entrance Crash Course for students preparing for:
✅ CMI BS (Hons.) Undergraduate Entrance
✅ BS (Hons.) Mathematics
✅ BS (Hons.) Mathematics and Computer Science
✅ CMI MSc Mathematics Entrance
✅ CMI MSc Computer Science Entrance
✅ Students searching for CMI BSc Mathematics Honours preparation
✅ Students searching for CMI Mathematics and Computer Science coaching
This programme will provide a concentrated and structured preparation system covering concepts, challenging problems, previous entrance questions, detailed solution writing, mock examinations and continuous academic support.
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🔵 FOUR SPECIALISED PREPARATION TRACKS
Students will be guided according to the entrance programme they are targeting.
1️⃣ CMI UG Mathematics Entrance Preparation
Designed for students completing or having completed Class 12 who want to prepare for the common CMI undergraduate entrance examination.
The focus will be on developing the ability to solve unfamiliar mathematical problems rather than only practising standard textbook questions.
2️⃣ CMI BS Mathematics and Computer Science Preparation
Students interested in Mathematics and Computer Science will receive strong undergraduate entrance mathematics preparation along with additional guidance for developing logical and computational thinking.
3️⃣ CMI MSc Mathematics Entrance Preparation
Designed for undergraduate Mathematics students preparing for advanced questions involving abstract concepts, rigorous arguments and detailed mathematical solutions.
4️⃣ CMI MSc Computer Science Entrance Preparation
Designed for Computer Science, Mathematics, Engineering and related-background students who need structured preparation in mathematical foundations, algorithms, programming logic and theoretical computer science.
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🧭 THE CMI CRASH COURSE PREPARATION FRAMEWORK
The course will be conducted through a seven-stage entrance preparation process.
🔹 Stage 1: Diagnostic Assessment
At the beginning of the programme, students will be encouraged to attempt a diagnostic test.
The assessment will help identify:
• Conceptual gaps
• Weak mathematical chapters
• Difficulty in solving non-routine problems
• Calculation and reasoning errors
• Problems in writing complete solutions
• Lack of familiarity with CMI-style questions
• Weakness in proof-based mathematics
• Difficulty managing objective and descriptive questions
The preparation plan will then focus on the areas requiring the greatest improvement.
🔹 Stage 2: Essential Concept Reconstruction
Many students know formulas but cannot recognise when or how to use them in an unfamiliar question.
The crash course will therefore rebuild important concepts from the foundation level and gradually connect them with advanced entrance problems.
Students will learn:
✔ Why a mathematical result works
✔ How different concepts are connected
✔ How to identify the hidden idea inside a question
✔ How to select an appropriate method
✔ How to verify whether an answer is logically correct
✔ How to avoid relying completely on memorised procedures
🔹 Stage 3: Guided Problem-Solving Laboratory
Every major concept will be followed by carefully selected problems.
The teacher will demonstrate:
• How to read a difficult problem
• How to separate the given information from the target
• How to test small or simple cases
• How to form a useful mathematical observation
• How to reject an incorrect approach
• How to construct the final argument
• How to present the solution clearly
The objective is to help students develop an independent problem-solving process.
🔹 Stage 4: CMI Previous-Paper Analysis
Previous CMI entrance questions will be studied according to concepts, difficulty and solution strategies.
Students will learn:
✔ Which concepts appear repeatedly
✔ How familiar concepts are presented in unfamiliar forms
✔ How objective questions can contain conceptual traps
✔ How to approach longer mathematical problems
✔ How much explanation should be included
✔ How different methods can produce the same result
✔ How to choose an efficient solution during the examination
Previous-paper practice will not be limited to reading ready-made answers. Students will be encouraged to attempt the problem independently before studying the complete solution.
🔹 Stage 5: Topic-Wise Tests
After completing each important unit, students will receive topic-wise practice tests.
These tests will examine:
• Conceptual understanding
• Accuracy
• Logical reasoning
• Ability to combine different concepts
• Mathematical presentation
• Speed of solving objective questions
• Ability to complete longer problems
The purpose of testing will be to identify weaknesses early and correct them systematically.
🔹 Stage 6: Full-Length Mock Examinations
Full-length mock tests will recreate the academic pressure and problem-solving demands of the entrance examination.
Mock tests will help students improve:
✅ Question selection
✅ Time distribution
✅ Objective-question accuracy
✅ Written-solution quality
✅ Mathematical clarity
✅ Confidence under pressure
✅ Ability to leave an unproductive approach
✅ Ability to complete the paper strategically
🔹 Stage 7: Error Correction and Final Revision
Every serious student maintains an error record.
Students will be guided to classify mistakes into categories such as:
• Concept not understood
• Formula applied incorrectly
• Important condition ignored
• Calculation error
• Incorrect logical assumption
• Incomplete proof
• Poor presentation
• Excessive time spent on one question
• Correct idea but incomplete ex*****on
The final revision will focus heavily on these personal weak areas.
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📘 CMI UG MATHEMATICS PREPARATION
The undergraduate preparation will strengthen mathematical aptitude using school-level concepts at a significantly higher problem-solving level.
Important areas may include:
🔸 Algebra
• Polynomials
• Equations and inequalities
• Sequences and series
• Functions
• Logarithms and exponents
• Complex numbers
• Binomial expressions
• Algebraic identities
• Functional relationships
🔸 Number Theory
• Divisibility
• Prime numbers
• Factors and multiples
• Remainders
• Congruences
• Integer solutions
• Diophantine-type reasoning
• Number patterns
🔸 Geometry
• Euclidean geometry
• Triangles
• Circles
• Coordinate geometry
• Geometrical transformations
• Angle and distance relationships
• Construction-based reasoning
• Diagram interpretation
🔸 Combinatorics
• Counting principles
• Permutations and combinations
• Arrangements with restrictions
• Inclusion and exclusion
• Pigeonhole principle
• Combinatorial identities
• Elementary graph-based reasoning
🔸 Probability
• Basic probability models
• Conditional reasoning
• Counting-based probability
• Independent and dependent events
• Expected-value intuition
• Problem interpretation
🔸 Calculus
• Limits
• Continuity
• Differentiation
• Applications of derivatives
• Integration
• Areas and rates of change
• Function behaviour
• Graph-based reasoning
Special emphasis will be placed on combining two or more areas inside one problem.
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🧠 CMI UG PROBLEM-SOLVING SKILLS
The course will teach students to use strategies such as:
✔ Working backwards
✔ Considering special cases
✔ Looking for symmetry
✔ Finding invariants
✔ Drawing an accurate diagram
✔ Introducing a helpful variable
✔ Using contradiction
✔ Constructing counterexamples
✔ Estimating before calculating
✔ Identifying parity and divisibility
✔ Breaking a complex problem into smaller parts
✔ Recognising when brute-force calculation is unnecessary
These strategies are especially important when the question does not immediately resemble a standard textbook exercise.
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📗 CMI MSc MATHEMATICS PREPARATION
The MSc Mathematics track will focus on advanced undergraduate mathematics and rigorous mathematical reasoning.
Major preparation areas will include:
🔹 Abstract and Linear Algebra
• Groups and subgroups
• Homomorphisms
• Quotient structures
• Rings and ideals
• Fields
• Vector spaces
• Linear transformations
• Matrices
• Eigenvalues and eigenvectors
• Diagonalisation
• Canonical forms
• Systems of linear equations
🔹 Real Analysis
• Sequences and series
• Limits
• Continuity
• Differentiability
• Riemann integration
• Uniform convergence
• Metric spaces
• Compactness
• Connectedness
• Completeness
• Functions of several variables
🔹 Complex Analysis
• Complex numbers
• Analytic functions
• Cauchy–Riemann equations
• Complex integration
• Power series
• Singularities
• Residues
• Standard complex-variable arguments
🔹 Advanced Calculus
• Partial derivatives
• Multiple integration
• Vector calculus
• Differential equations
• Taylor expansion
• Optimisation
• Jacobians
• Applications of multivariable calculus
The course will emphasise definitions, theorem applications, counterexamples and complete mathematical arguments.
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💻 CMI MSc COMPUTER SCIENCE PREPARATION
The MSc Computer Science track will combine mathematical aptitude with theoretical and computational problem-solving.
Important areas may include:
🔸 Discrete Mathematics
• Propositional and predicate logic
• Sets, relations and functions
• Recurrence relations
• Combinatorics
• Graph theory
• Trees
• Mathematical induction
• Proof techniques
🔸 Data Structures
• Arrays
• Linked lists
• Stacks and queues
• Trees
• Binary search trees
• Heaps
• Hashing
• Graph representations
🔸 Algorithms
• Searching and sorting
• Recursion
• Divide-and-conquer methods
• Greedy approaches
• Dynamic programming
• Graph algorithms
• Algorithm correctness
• Complexity analysis
🔸 Programming Aptitude
• Variables and expressions
• Conditional logic
• Loops
• Functions
• Recursion
• Program tracing
• Identifying output
• Debugging logical errors
• Translating an algorithm into code
🔸 Formal Languages and Automata
• Regular languages
• Finite automata
• Regular expressions
• Context-free grammars
• Pushdown automata
• Computability concepts
• Language recognition
🔸 Mathematical Foundations
• Probability
• Calculus
• Linear algebra
• Logical reasoning
• Combinatorial problem-solving
The preparation will focus on understanding why an algorithm works instead of simply memorising code.
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✍️ DETAILED SOLUTION-WRITING TRAINING
A correct final answer without sufficient reasoning may not demonstrate the complete mathematical argument.
Students will therefore be trained to write solutions containing:
The relevant observation
The mathematical approach
Proper notation
Necessary intermediate steps
Logical justification
Correct conclusion
Special attention will be given to avoiding:
❌ Unsupported statements
❌ Missing cases
❌ Circular reasoning
❌ Unclear notation
❌ Unnecessary calculations
❌ Correct answers reached through incomplete arguments
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📚 COURSE MATERIAL AND NOTES
Students will receive organised preparation resources, which may include:
✅ Concept sheets
✅ Chapter-wise notes
✅ Important formulas and results
✅ Problem-solving strategy sheets
✅ Selected advanced questions
✅ Previous-paper worksheets
✅ Detailed solutions
✅ Topic-wise assignments
✅ Short revision notes
✅ Mock-test papers
✅ Error-analysis sheets
✅ Final revision material
The material will be arranged so that students can revise without depending on several disconnected books and online sources.
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🎥 ONLINE LIVE CLASS FEATURES
The online live format will provide:
• Real-time concept explanation
• Interactive problem-solving
• Teacher-guided question attempts
• Doubt clarification
• Stepwise derivations
• Screen-based mathematical demonstrations
• Discussion of alternative methods
• Regular practice instructions
• Academic monitoring
• Revision guidance
Students will be encouraged to participate actively rather than remain passive viewers.
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❓ DOUBT-SOLVING AND ACADEMIC SUPPORT
Students may raise relevant doubts related to:
✔ Class concepts
✔ Assignments
✔ Previous entrance questions
✔ Mock tests
✔ Mathematical proofs
✔ Programming logic
✔ Alternative solution methods
✔ Preparation strategy
✔ Weak chapters
✔ Revision planning
Doubts will be treated as part of the learning process because an unresolved conceptual gap can affect several future topics.
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📊 TEST ANALYSIS AND PERFORMANCE TRACKING
Performance will be reviewed using factors such as:
• Accuracy percentage
• Number of attempted questions
• Time spent per problem
• Strength across topics
• Repeated conceptual mistakes
• Quality of written solutions
• Ability to solve unfamiliar questions
• Improvement between tests
Students will receive guidance on what to revise next instead of receiving only a test score.
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🎯 WHO SHOULD JOIN THIS CRASH COURSE?
This programme is suitable for:
• Class 11 and 12 students targeting CMI undergraduate admission
• Students who have completed Class 12
• Mathematics Olympiad-oriented students
• JEE students interested in deeper mathematics
• Students preparing for ISI, CMI and other mathematical entrance examinations
• BSc Mathematics and Mathematics Honours students
• BTech and BE students with strong mathematical interests
• Computer Science graduates preparing for CMI MSc CS
• Repeat candidates seeking a more structured approach
• Students who struggle with non-routine questions
• Students who need practice writing detailed mathematical solutions
• Students who have completed concepts but lack mock-test experience
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🌟 WHY PREPARE WITH DR. SOURAV SIR’S CLASSES?
✅ Specialised entrance-oriented teaching
✅ Separate guidance for UG and MSc candidates
✅ Mathematics and Computer Science preparation
✅ Concept-first learning system
✅ Advanced problem-solving practice
✅ Previous-paper analysis
✅ Detailed solution-writing training
✅ Topic-wise assignments
✅ Full-length mock tests
✅ Test-performance analysis
✅ Doubt-solving support
✅ Structured revision plan
✅ Guidance for weak and strong students
✅ Online learning from any location
✅ Focus on reasoning, accuracy and presentation
CMI preparation requires more than completing a syllabus.
It requires the ability to think independently, explore different approaches, recognise hidden mathematical structures and communicate a solution logically.
Begin your CMI entrance preparation through a disciplined combination of concepts, challenging problems, previous papers, mock examinations and continuous correction.
📲 TAP THE WHATSAPP BUTTON FOR COMPLETE COURSE DETAILS
WhatsApp / Call: 9836870415
Website: www.souravsirclasses.com
Send this message on WhatsApp:
“Hello, I want complete details about the CMI UG or MSc Mathematics/Computer Science Entrance Crash Course.”
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