STUDY Material ISI b stat , b math , MSQE 9836793076, 8/2C KASHI GHOSH Lane, KOLKATA (2026)

30/09/2026

ISI B.STAT, B.MATH & MSQE INTENSIVE CRASH COURSE | COMPLETE STUDY MATERIALS, ONLINE COACHING, ADVANCED MATHEMATICS & ECONOMICS ENTRANCE PREPARATION

🎯 THREE PRESTIGIOUS ENTRANCE EXAMINATIONS. THREE SPECIALISED PREPARATION PATHWAYS. ONE STRUCTURED LEARNING SYSTEM!

DR. SOURAV SIR'S CLASSES PRESENTS AN EXCLUSIVE ISI ENTRANCE EXAMINATION CRASH COURSE & COMPREHENSIVE STUDY MATERIAL PROGRAMME

Are you preparing for the Indian Statistical Institute (ISI) B.Stat, B.Math or M.S. in Quantitative Economics (MSQE) entrance examinations?

Do you find advanced Mathematics challenging? Are you struggling with mathematical proofs, probability, calculus, algebra, microeconomics or quantitative economic analysis?

Are you searching for comprehensive study materials that explain concepts, provide challenging examination-oriented problems and help you prepare systematically?

OUR SPECIALISED ISI CRASH COURSE COMBINES ADVANCED STUDY MATERIALS, CONCEPTUAL TEACHING, CHALLENGING PROBLEM-SOLVING, PREVIOUS-YEAR QUESTION ANALYSIS AND PERSONALISED ACADEMIC MENTORSHIP.

We provide separate preparation pathways for undergraduate Mathematics and Statistics aspirants and postgraduate Quantitative Economics candidates.

ADMISSIONS & STUDY MATERIAL ENQUIRIES

📞 Call or WhatsApp: 9836793076

🌐 Website: www.souravsirclasses.com

1. THREE EXAMINATIONS — THREE SPECIALISED STUDY MATERIAL SYSTEMS

Unlike generic Mathematics coaching programmes, our preparation is organised according to the academic requirements of each ISI entrance examination.

TRACK A: ISI B.STAT ENTRANCE PREPARATION

Designed for students targeting the Bachelor of Statistics programme.

MAJOR PREPARATION AREAS

Advanced Algebra

Functions and Graphs

Trigonometry

Coordinate Geometry

Sequences and Series

Mathematical Inequalities

Limits and Continuity

Differential Calculus

Integral Calculus

Probability

Combinatorics

Mathematical Reasoning

Our B.Stat study materials emphasise conceptual understanding, mathematical creativity and examination-oriented problem-solving.

TRACK B: ISI B.MATH ENTRANCE PREPARATION

Designed for students targeting the Bachelor of Mathematics programme.

MAJOR PREPARATION AREAS

Algebraic Equations

Polynomial Theory

Number Theory

Divisibility and Congruences

Mathematical Inequalities

Advanced Geometry

Trigonometric Identities

Sequences and Series

Functions

Calculus

Combinatorics

Probability

Mathematical Proof Techniques

Our B.Math preparation emphasises logical reasoning, mathematical intuition and creative approaches to challenging problems.

TRACK C: ISI MSQE ENTRANCE PREPARATION

Designed for students preparing for the Master of Science in Quantitative Economics entrance examination.

MAJOR PREPARATION AREAS

Microeconomic Theory

Macroeconomic Theory

Consumer Behaviour

Producer Theory

Market Structures

General Equilibrium

Welfare Economics

Mathematical Economics

Differential Calculus

Linear Algebra

Optimisation

Probability

Statistics

Quantitative Economic Analysis

Our MSQE preparation connects economic theory with mathematical reasoning and examination-oriented analytical practice.

2. OUR EXCLUSIVE ISI STUDY MATERIAL ARCHITECTURE

Our study materials are designed to help students progress from fundamental concepts to advanced entrance examination problems.

Instead of providing disconnected collections of questions, we organise learning resources into structured academic modules.

MATERIAL TYPE 1: CONCEPT DEVELOPMENT NOTES

Detailed explanations of important mathematical and economic concepts.

These resources help students understand definitions, fundamental results, mathematical relationships and theoretical applications.

MATERIAL TYPE 2: FORMULA & THEOREM COLLECTIONS

Organised collections of essential formulas, theorems, mathematical identities and important results.

Special attention is given to understanding the conditions under which mathematical results can be applied.

MATERIAL TYPE 3: TOPIC-WISE PRACTICE WORKSHEETS

Structured exercises designed to strengthen conceptual understanding and improve problem-solving skills.

Students progress from foundational questions to advanced examination-oriented problems.

MATERIAL TYPE 4: ADVANCED CHALLENGE PROBLEMS

Specialised problem collections designed to develop mathematical creativity, analytical reasoning and the ability to solve unfamiliar questions.

MATERIAL TYPE 5: PREVIOUS-YEAR QUESTION COLLECTIONS

Selected ISI entrance examination questions organised according to relevant topics and examination requirements.

MATERIAL TYPE 6: REVISION & ASSESSMENT RESOURCES

Focused revision exercises, mixed-topic practice sets and examination-oriented assessments.

3. OUR B.STAT & B.MATH MATHEMATICS PROBLEM-SOLVING LABORATORY

ISI undergraduate entrance preparation requires mathematical understanding beyond routine textbook exercises.

Our specialised problem-solving laboratory focuses on developing the ability to analyse unfamiliar mathematical questions.

ALGEBRA WORKSHOP

Students explore polynomial equations, inequalities, algebraic identities and advanced equation-solving techniques.

NUMBER THEORY WORKSHOP

Students practise divisibility, prime numbers, modular arithmetic and mathematical reasoning.

CALCULUS WORKSHOP

Students develop stronger understanding of limits, continuity, differentiation, integration and mathematical applications.

GEOMETRY WORKSHOP

Students practise advanced geometrical reasoning, coordinate methods and challenging problem-solving techniques.

COMBINATORICS & PROBABILITY WORKSHOP

Students explore counting techniques, probability principles and creative approaches to discrete mathematical problems.

MATHEMATICAL PROOF WORKSHOP

Students learn how to construct logical arguments, identify relevant mathematical results and develop structured solutions.

4. OUR SPECIALISED MSQE ECONOMICS & MATHEMATICS LABORATORY

ISI MSQE preparation requires a strong understanding of economic theory and its mathematical foundations.

Our specialised academic workshops connect theoretical Economics with quantitative reasoning.

MICROECONOMICS WORKSHOP

Utility Maximisation

Consumer Equilibrium

Production Functions

Cost Minimisation

Market Equilibrium

Welfare Analysis

MACROECONOMICS WORKSHOP

National Income

Consumption and Investment

Monetary Theory

Inflation

Economic Growth

Macroeconomic Models

MATHEMATICAL ECONOMICS WORKSHOP

Functions

Differential Calculus

Matrix Algebra

Constrained Optimisation

Comparative Statics

Mathematical Applications

STATISTICS & PROBABILITY WORKSHOP

Probability Distributions

Random Variables

Expectation and Variance

Statistical Reasoning

Quantitative Problem-Solving

Students practise applying mathematical techniques to economic models and interpreting quantitative results.

5. OUR SEVEN-STAGE CRASH COURSE TEACHING METHODOLOGY

STAGE 1: DIAGNOSTIC ASSESSMENT

We evaluate each student's existing mathematical knowledge, conceptual strengths and preparation requirements.

For MSQE candidates, the assessment also incorporates Economics and quantitative reasoning.

STAGE 2: PERSONALISED PREPARATION ROADMAP

Students receive a structured academic preparation plan according to their selected examination.

STAGE 3: CONCEPTUAL DEVELOPMENT

Our faculty members explain essential concepts, mathematical theorems and important analytical techniques.

STAGE 4: GUIDED PROBLEM-SOLVING

Students work through selected examples and learn how to identify appropriate mathematical methods.

STAGE 5: ADVANCED EXAMINATION PRACTICE

Students attempt challenging questions designed to develop independent problem-solving abilities.

STAGE 6: PREVIOUS-YEAR QUESTION ANALYSIS

Relevant previous-year questions are incorporated into topic-specific discussions and practice sessions.

STAGE 7: MOCK EXAMINATIONS & TARGETED REVISION

Students participate in assessments and receive recommendations for improving weaker areas.

6. OBJECTIVE & DESCRIPTIVE QUESTION PREPARATION

Our teaching approach recognises that objective and descriptive questions require different preparation strategies.

OBJECTIVE QUESTION PREPARATION

Students practise:

Concept recognition

Efficient mathematical calculations

Question selection

Elimination techniques

Mathematical accuracy

Examination-oriented problem-solving

DESCRIPTIVE QUESTION PREPARATION

Students develop skills in:

Understanding mathematical statements

Selecting appropriate theorems

Constructing logical arguments

Presenting mathematical derivations

Explaining solution methods

Developing structured mathematical answers

The exact preparation approach is customised according to the applicable examination pattern.

7. OUR SPECIAL MATHEMATICAL ERROR-ANALYSIS SYSTEM

Students frequently lose marks because of conceptual misunderstandings, incomplete mathematical arguments and avoidable calculation mistakes.

Our error-analysis methodology identifies four important categories.

CONCEPTUAL ERRORS

Misunderstanding definitions, mathematical relationships or theoretical assumptions.

CALCULATION ERRORS

Incorrect algebraic manipulation, numerical mistakes or incomplete calculations.

METHOD-SELECTION ERRORS

Choosing inefficient or inappropriate mathematical techniques.

LOGICAL ERRORS

Making unjustified assumptions or developing incomplete mathematical arguments.

Students receive targeted practice designed to address recurring mistakes.

8. PREVIOUS-YEAR ISI QUESTION ANALYSIS

Previous-year examination questions form an important component of our preparation strategy.

Our academic discussions focus on:

Identifying frequently examined concepts

Understanding question structures

Recognising important mathematical techniques

Exploring alternative solutions

Analysing difficult questions

Improving examination-oriented reasoning

Identifying common mistakes

Separate question collections are organised for B.Stat, B.Math and MSQE preparation.

9. OUR MOCK TEST & PERFORMANCE EVALUATION FRAMEWORK

Our assessment programme helps students evaluate their preparation systematically.

ASSESSMENT COMPONENTS

✔ Topic-wise Mathematics tests

✔ Advanced Algebra assessments

✔ Calculus problem-solving tests

✔ Probability and Combinatorics practice

✔ Mathematical reasoning assessments

✔ MSQE Economics practice tests

✔ Quantitative Economics assessments

✔ Previous-year question practice

✔ Examination-oriented mock tests

✔ Individual performance analysis

OUR PERFORMANCE REVIEW SYSTEM

Faculty members evaluate conceptual accuracy, mathematical reasoning, calculation techniques, question interpretation and examination performance.

Students receive targeted recommendations for improving their preparation.

10. LIVE ONLINE CLASSES & PERSONALISED ACADEMIC SUPPORT

Our programme combines comprehensive study materials with interactive academic guidance.

OUR LEARNING FACILITIES INCLUDE:

✔ Live interactive online classes

✔ Kolkata-based offline coaching options

✔ One-to-one tuition

✔ Small-batch learning options

✔ Subject-specialised faculty guidance

✔ Advanced mathematical problem-solving

✔ Mathematical proof discussions

✔ Quantitative Economics guidance

✔ Recorded-class backup

✔ Individual doubt-clearing support

✔ Personalised preparation mentoring

Students can discuss difficult concepts, request alternative explanations and receive additional academic guidance.

11. OUR SPECIAL REVISION & CONCEPT RETENTION SYSTEM

Effective examination preparation requires systematic revision.

Our revision methodology incorporates four essential components.

CONCEPT RECALL

Students revisit important mathematical definitions, formulas, theorems and economic principles.

TARGETED PRACTICE

Additional exercises are provided for topics identified as challenging.

MIXED-TOPIC PROBLEM-SOLVING

Students practise questions requiring the application of multiple mathematical concepts.

EXAMINATION SIMULATION

Students attempt examination-oriented assessments and review their performance.

12. SPECIAL SUPPORT FOR MATHEMATICAL OLYMPIAD STUDENTS

Students with experience in mathematical competitions may benefit from additional advanced problem-solving opportunities.

Our supplementary preparation can incorporate:

Number Theory

Advanced Algebra

Mathematical Inequalities

Geometry

Combinatorics

Creative Mathematical Reasoning

Advanced Proof Techniques

These activities are designed to strengthen mathematical intuition and support preparation for challenging entrance examination questions.

13. WHO SHOULD JOIN OUR ISI CRASH COURSE?

Our programme is suitable for:

✔ Students preparing for ISI B.Stat.

✔ Students preparing for ISI B.Math.

✔ Graduates preparing for ISI MSQE.

✔ Mathematics enthusiasts seeking advanced problem-solving guidance.

✔ Statistics students interested in higher education.

✔ Economics graduates requiring quantitative preparation.

✔ Students seeking comprehensive ISI study materials.

✔ Aspirants requiring personalised mathematical mentoring.

✔ Students interested in structured mock examinations and advanced revision.

14. WHY CHOOSE DR. SOURAV SIR'S CLASSES?

Our teaching philosophy combines conceptual clarity, mathematical creativity, analytical reasoning and examination-oriented practice.

OUR PREPARATION APPROACH INCLUDES:

✔ Separate B.Stat, B.Math and MSQE preparation tracks

✔ Comprehensive subject-wise study materials

✔ Advanced mathematical problem-solving

✔ Mathematical proof development

✔ Specialised Quantitative Economics preparation

✔ Previous-year question discussions

✔ Topic-based practice worksheets

✔ Objective and descriptive question preparation

✔ Examination-oriented mock tests

✔ Individual performance evaluation

✔ Targeted revision and error analysis

✔ Personalised academic mentorship

✔ Recorded learning support

✔ Interactive doubt-clearing opportunities

DON'T JUST COLLECT STUDY MATERIALS. LEARN HOW TO USE THEM EFFECTIVELY!

Develop stronger mathematical foundations, improve your analytical reasoning and prepare systematically for the Indian Statistical Institute entrance examinations.

DR. SOURAV SIR'S CLASSES

ISI B.Stat | ISI B.Math | ISI MSQE | Advanced Mathematics | Statistics | Quantitative Economics

START YOUR ISI ENTRANCE PREPARATION TODAY!

📞 CALL OR WHATSAPP: 9836793076

🌐 www.souravsirclasses.com

29/08/2026

STUDY MATERIAL FOR ISI B.STAT | B.MATH | MSQE / MS (QE) | COMPLETE NOTES | PROBLEM SETS | PYQ & SAMPLE PAPERS | MOCK TEST MATERIALS
Beginning-to-Advanced ISI Study Material Intelligence System + B.Stat/B.Math UGA–UGB Preparation + MS (QE) PEA–PEB Preparation + Mathematics + Proof Thinking + Quantitative Economics + Objective & Descriptive Problem Banks + Sample-Paper Reconstruction + Mock Packs + Intensive Crash Revision Materials

Preparing for an Indian Statistical Institute entrance examination requires a completely different type of study material.

A normal competitive-exam book often follows this structure:

CHAPTER → FORMULA → 20 SIMILAR QUESTIONS → ANSWERS

For ISI, that is rarely enough.

Because the important question is not:

“Have you seen this exact problem before?”

The real question is:

“If the condition changes, can you still solve it?”

That is why the ISI Study Materials from Dr. Sourav Sir’s Classes are designed as a complete:

ISI PROBLEM-SOLVING INTELLIGENCE LIBRARY

covering three major preparation directions:

ISI B.Stat (Hons)
ISI B.Math (Hons)
ISI M.S. in Quantitative Economics — MS (QE) / MSQE

These are not treated as three copies of the same material.

They are organised through different intellectual tracks.

THREE EXAMS — THREE THINKING STYLES
B.STAT TRACK

Mathematical aptitude, structured reasoning, creative problem solving and mathematical maturity.

B.MATH TRACK

Deep mathematical problem solving, identities, geometry, algebra, calculus, combinatorics and proof-oriented thinking.

MS (QE) TRACK

Economics + Mathematics + quantitative reasoning + model interpretation + objective and short-answer preparation.

Therefore our materials follow:

COMMON FOUNDATION + PROGRAMME-SPECIFIC INTELLIGENCE

The preparation pipeline is:

CONCEPT → OBSERVATION → METHOD → PROBLEM → VARIATION → PROOF/EXPLANATION → SAMPLE PAPER → MOCK → ERROR REVIEW → RECONSTRUCTION

THE MATERIAL IS NOT ONE BIG BOOK

We deliberately avoid giving students hundreds of pages without telling them what to do with them.

Instead, the preparation is divided into specialised Learning Assets.

Every asset has one purpose.

Some build concepts.

Some develop speed.

Some create proof ability.

Some test observation.

Some create examination pressure.

Some expose mistakes.

Some are designed only for final revision.

The student therefore always knows:

What am I reading?

Why am I reading it?

What should I be able to do after completing it?

ISI B.STAT / B.MATH MATERIAL VAULT

The B.Stat and B.Math entrance preparation begins from Mathematics at the higher-secondary level, but the questions can demand significantly deeper insight than ordinary board-level practice.

Our material architecture therefore begins with:

VAULT 01 — ALGEBRAIC STRUCTURES

Coverage can include:

Polynomials
Theory of Equations
Quadratic Equations
Roots and Coefficients
Complex Numbers
Sequences
Series
Arithmetic Progression
Geometric Progression
Inequalities
Logarithms
Functional Equations
Binomial Theorem
Algebraic Identities

But every chapter is divided into multiple levels.

LEVEL A — FOUNDATION REPAIR

For students who know formulas but have gaps in basics.

Materials include:

Short concept explanations
Core formulas
Illustrative examples
Basic manipulation exercises
Common mistakes

The purpose is to make basic algebra automatic.

LEVEL B — STRUCTURE RECOGNITION

Here students are shown questions where the formula is not obvious.

The material asks:

Can the expression be factorised?

Is there hidden symmetry?

Should we substitute?

Should we transform the variables?

Is there a useful identity?

Can AM-GM or another inequality help?

The student learns to inspect before calculating.

LEVEL C — ISI-STYLE MUTATION

A familiar problem is modified.

For example:

A quadratic equation becomes a parameter problem.

A sequence problem becomes an inequality.

A polynomial problem becomes a divisibility argument.

A complex-number question becomes a geometric interpretation.

This develops transfer of knowledge.

THE ALGEBRA TRANSFORMATION CARDS

Special revision cards show common transformations such as:

Expression → factorised form

Equation → symmetric form

Recurrence → pattern

Complex number → modulus/argument

Polynomial → root relation

Inequality → equality condition

Instead of remembering thousands of questions, students develop a small collection of powerful mathematical moves.

VAULT 02 — NUMBER THEORY & INTEGER REASONING

ISI-style mathematics often rewards simple but clever observations.

Our number-theory material develops:

Divisibility
Prime Numbers
Composite Numbers
Factors
GCD
LCM
Remainders
Congruences
Parity
Diophantine-style reasoning
Integer solutions
Digit problems
Floor-type reasoning where appropriate

INTEGER DETECTIVE SHEETS

Each problem requires the student to search for clues:

Odd or even?

Prime or composite?

Divisible by something?

What happens modulo 2?

Modulo 3?

Modulo 4?

Modulo 5?

Can factorisation restrict possible integer values?

This builds the habit:

USE STRUCTURE BEFORE BRUTE FORCE
SMALL-CASE EXPERIMENT FILE

Before proving or solving a general statement, students may test:

n = 1
n = 2
n = 3
special even cases
special odd cases

This does not replace proof.

It helps discover the pattern that may lead to proof.

We call this:

EXPERIMENT → CONJECTURE → JUSTIFICATION
VAULT 03 — COMBINATORICS & COUNTING

One of the most important mathematical-thinking areas.

Materials include:

Permutations
Combinations
Arrangements
Selections
Restricted counting
Circular arrangement where relevant
Binomial coefficients
Pigeonhole Principle
Counting by cases
Complement counting
Elementary recurrence ideas

But the first page of the material contains one warning:

DO NOT START WITH nCr.

First identify:

What are the objects?

Does order matter?

Can repetition occur?

Are objects distinguishable?

What restrictions exist?

Are cases overlapping?

THE COUNTING BLUEPRINT

For every combinatorics problem, students create:

OBJECTS

↓

RESTRICTIONS

↓

CASE DIVISION

↓

COUNT EACH CASE

↓

CHECK DOUBLE COUNTING

↓

FINAL COUNT

This dramatically reduces formula confusion.

ONE COUNTING PROBLEM — FOUR VERSIONS

Suppose one arrangement question is solved.

The practice material may then change:

Repeated objects

Position restriction

“At least one”

“Exactly one”

“No two together”

This teaches students that small wording changes can completely change the mathematical model.

VAULT 04 — GEOMETRY VISUAL REASONING

Geometry cannot be mastered only by memorising theorems.

Our material develops:

Triangles
Circles
Quadrilaterals
Polygons
Coordinate Geometry
Lines
Angles
Similarity
Congruence
Areas
Lengths
Ratios
Classical geometric constructions and observations where relevant

THE DIAGRAM IS DATA RULE

Students learn to treat a diagram as mathematical information.

Before writing equations, they inspect:

Equal angles?

Parallel lines?

Cyclic structure?

Similar triangles?

Symmetry?

Common chord?

Known ratio?

Hidden right angle?

A good geometric observation can replace several pages of calculation.

THE REDRAW FILE

Difficult diagrams are intentionally redrawn in different orientations.

Why?

Because students often remember:

“the triangle pointing upward”

instead of the theorem.

ISI preparation requires the concept to survive even when the diagram looks unfamiliar.

VAULT 05 — TRIGONOMETRY CONNECTION SHEETS

Topics can include:

Trigonometric ratios
Identities
Equations
Heights and distances
Transformations
Geometry connections

But instead of giving students 200 identities, the material focuses on:

Fundamental identities
Angle relationships
Useful transformations
Problem classification

Students learn to derive when possible rather than memorising unnecessarily.

VAULT 06 — CALCULUS DISCOVERY MATERIAL

Preparation includes:

Functions
Limits
Continuity
Differentiation
Applications of Derivatives
Increasing/Decreasing Functions
Maximum/Minimum
Integration
Area ideas where appropriate

Our calculus materials follow:

FUNCTION → BEHAVIOUR → DERIVATIVE → CONCLUSION

Students do not merely calculate derivatives.

They analyse what those derivatives say about the function.

GRAPH FIRST FILE

Selected calculus problems require a rough sketch before algebra.

Students investigate:

Where is the function positive?

Where is it negative?

Where can an extremum occur?

Is the function symmetric?

What happens at infinity?

Can the derivative's sign answer the question?

This creates visual calculus.

VAULT 07 — PROOF & JUSTIFICATION NOTEBOOK

This is particularly important for students targeting strong descriptive performance.

The notebook develops:

Direct proof
Contradiction
Contrapositive reasoning
Mathematical induction
Case division
Construction
Counterexample

Not every question asks explicitly:

“Prove that…”

But proof-thinking helps students understand difficult mathematical statements.

THE COUNTEREXAMPLE COLLECTION

Students maintain a set of small counterexamples.

For example:

A statement may be true for positive integers but false for integers.

True for non-zero numbers but false at zero.

True for triangles but not general quadrilaterals.

True for an invertible object but false otherwise.

The purpose is to develop one powerful habit:

WHEN SOMEONE SAYS “ALWAYS”, TEST IT.
UGA OBJECTIVE PREPARATION PACK

ISI's official admission site currently provides UGA sample-question sets for B.Stat and B.Math.

Our UGA-oriented material focuses on:

Rapid mathematical recognition
Option testing
Special cases
Elimination
Numerical simplification
Diagram inspection
Pattern recognition
Calculation discipline

OPTION ATTACK SHEETS

Instead of solving every objective question through a full formal derivation, students also learn when it is mathematically legitimate to:

Substitute an option

Test a special value

Check parity

Check sign

Use bounds

Use symmetry

Reject an impossible answer

The important distinction is:

ELIMINATION BY MATHEMATICS — NOT ELIMINATION BY GUESSING
UGB DESCRIPTIVE PROBLEM PACK

UGB-style preparation requires students to produce mathematical reasoning independently.

Materials therefore contain problems where students must:

Find the key idea

Set up the solution

Carry out calculations

Justify important steps

Present the conclusion

THE FIRST-LINE CHALLENGE

For every descriptive question, students first answer:

WHAT SHOULD THE FIRST LINE OF MY SOLUTION BE?

Sometimes the hardest part is not calculation.

It is knowing how to start.

So our materials train starting strategies:

Introduce a variable

Draw an auxiliary line

Factorise

Assume contradiction

Use induction

Consider cases

Apply a known identity

Construct a suitable function

THE HINT LADDER

Difficult questions contain progressive hints.

Hint 1

Only identifies the broad direction.

Hint 2

Identifies a useful observation.

Hint 3

Suggests a mathematical tool.

Hint 4

Gives a major intermediate step.

Students should use the minimum hint necessary.

This prevents immediate dependence on complete solutions.

THE SOLUTION SHOULD BE THE LAST PAGE

Our materials deliberately separate:

QUESTION

from

HINT

from

SOLUTION

Students are encouraged to struggle productively before reading the solution.

Because:

READING A BEAUTIFUL SOLUTION DOES NOT MEAN YOU CAN CREATE ONE.
B.STAT SPECIAL ORIENTATION

B.Stat aspirants use the same mathematical entrance foundation but can also benefit from developing statistical curiosity.

Selected enrichment materials connect mathematics with ideas such as:

Counting → Probability

Functions → Random variables

Averages → Statistics

Combinatorics → Probability models

Calculus → Continuous models

This enrichment is clearly separated from entrance essentials.

The purpose is to create context, not syllabus confusion.

B.MATH SPECIAL ORIENTATION

B.Math aspirants receive stronger emphasis on:

Proof thinking
Algebraic structure
Number-theoretic observations
Geometry
Combinatorics
Functional thinking
Calculus reasoning

The student gradually moves from:

“HOW DO I CALCULATE THIS?”

to

“WHY MUST THIS BE TRUE?”
NOW THE MSQE / MS (QE) MATERIAL SYSTEM

ISI officially calls this programme:

MASTER OF SCIENCE IN QUANTITATIVE ECONOMICS — MS (QE)

The entrance is very different from B.Stat/B.Math.

It demands preparation in:

ECONOMICS + MATHEMATICS

and official 2026 sample-question material is organised through:

PEA + PEB

Therefore, our MS (QE) study materials form a separate Quantitative Economics Library.

QE VAULT 01 — MICROECONOMICS

Material can cover:

Consumer Theory
Preferences
Utility
Indifference Curves
Budget Constraints
Demand
Elasticity
Production
Cost
Profit Maximisation
Perfect Competition
Monopoly
Market Equilibrium
Welfare ideas
Game-theoretic reasoning where relevant to preparation

But every theory is taught in four representations:

WORDS → GRAPH → EQUATION → QUESTION

A student who understands only one of these representations is considered incompletely prepared.

THE ECONOMIC ASSUMPTION CARD

Every model receives an assumption card.

For example:

What is fixed?

What varies?

What is the objective?

What information do economic agents possess?

What market structure is assumed?

What is the equilibrium condition?

This prevents students from applying correct formulas inside the wrong economic model.

QE VAULT 02 — MACROECONOMICS

Preparation materials can include:

National Income
Consumption
Investment
Savings
Multiplier
Money
Inflation
Unemployment
Fiscal Policy
Monetary Policy
Growth
Open-Economy ideas as appropriate

MACRO CAUSE–EFFECT CHAINS

Students receive policy scenarios.

For example:

Government expenditure increases.

Then they must construct:

POLICY CHANGE

↓

FIRST ECONOMIC EFFECT

↓

SECONDARY EFFECT

↓

OUTPUT / EMPLOYMENT / PRICE EFFECT

This develops macroeconomic reasoning rather than definition recall.

QE VAULT 03 — MATHEMATICS FOR ECONOMICS

This is a central part of the MS (QE) material system.

Preparation may include:

Functions
Graphs
Sequences
Calculus
Partial Derivatives
Optimisation
Matrices
Systems of Equations
Probability
Basic quantitative reasoning

The mathematical material is constantly linked to economics.

THE ECONOMICS–MATHEMATICS TRANSLATOR

Examples:

Utility maximisation → constrained optimisation

Cost minimisation → optimisation

Marginal cost → derivative

Growth rate → dynamic relationship

Simultaneous markets → systems of equations

Strategic choice → mathematical comparison

Students should understand not only how the mathematics works, but why an economist needs it.

QE VAULT 04 — OPTIMISATION PROBLEM BANK

Students practise:

Objective function

Decision variable

Constraint

First-order condition

Second-order condition

Economic conclusion

Our materials repeatedly require students to write:

MAXIMISE/MINIMISE WHAT?

before differentiating.

This single habit prevents many errors.

QE VAULT 05 — QUANTITATIVE REASONING

Selected materials develop:

Ratios
Percentages
Growth
Functions
Tables
Data interpretation
Logical quantitative arguments

These questions are designed to test the student's ability to interpret information quantitatively.

PEA OBJECTIVE ECONOMICS-MATH PACK

PEA preparation focuses on fast and accurate decision-making.

The material contains:

Concept MCQs
Mathematical MCQs
Graph-based questions
Statement questions
Numerical questions
Model-comparison questions
Option-elimination exercises

ECONOMIC DISTRACTOR ANALYSIS

Every important question is accompanied by:

Correct answer

Reason it is correct

Reason each major distractor is wrong

This is essential because Economics MCQs frequently contain options that are:

Correct in another model

Correct only under another assumption

Directionally reversed

Confusing average and marginal quantities

Confusing nominal and real quantities

Confusing movement and shift

PEB SHORT-ANSWER PREPARATION PACK

The descriptive/short-answer track develops:

Mathematical setup
Economic reasoning
Clear calculations
Graph interpretation
Concise explanations
Structured conclusions

Our preferred flow is:

MODEL → ASSUMPTION → METHOD → CALCULATION → INTERPRETATION
THE ECONOMIST'S LAST SENTENCE

For quantitative-economics problems, students are encouraged not to stop at the number.

The answer should often finish by explaining:

What does this result mean economically?

A calculated value without interpretation can leave the reasoning incomplete.

COMMON PYQ / SAMPLE-PAPER RESEARCH HUB

Official ISI sample questions are extremely valuable.

But our study material does not treat them as a collection to memorise.

Every selected problem is tagged by:

Programme

Paper type

Topic

Concept

Difficulty

Observation required

Computation required

Proof/description requirement

Typical trap

Alternative method

Possible mutation

THE PROBLEM DNA SHEET

For an important question, the material asks:

GENE 1 — CORE CONCEPT

What is really being tested?

GENE 2 — HIDDEN OBSERVATION

What unlocks the problem?

GENE 3 — TECHNIQUE

Which mathematical/economic tool is required?

GENE 4 — TRAP

Where is the candidate likely to fail?

GENE 5 — MUTATION

How can the examiner change the problem?

This means a previous/sample question becomes the beginning of learning, not the end.

ONE OFFICIAL-STYLE PROBLEM → FIVE NEW PROBLEMS

After solving a useful question, our material may alter:

Numbers

Sign

Domain

Parameter

Constraint

Geometric configuration

Economic assumption

Objective

This immediately tests whether the student learned the idea or only memorised the answer.

THE “NO LABEL” PROBLEM SET

Most chapter exercises tell students:

Chapter: Permutations and Combinations

That already gives away half the solution.

Our mixed material removes topic headings.

A question may secretly require:

Algebra

Number Theory

Geometry

Calculus

Combinatorics

Economics

Optimisation

The first problem becomes:

WHAT KIND OF PROBLEM IS THIS?

Recognition is itself an examinable skill.

STUDY MATERIAL DIFFICULTY CODING

Questions are coded according to the type of thinking required.

S1 — FOUNDATION

Direct concept.

S2 — STANDARD

One recognised method.

S3 — CONNECTION

Two concepts combined.

S4 — OBSERVATION

Simple solution hidden behind a key idea.

S5 — MULTI-STAGE

Several steps required.

S6 — EXPLORATION

The route is not immediately obvious.

Students should progress gradually rather than jumping directly from basics into extremely difficult problems.

THE “BEAUTIFUL PROBLEM” COLLECTION

Some questions deserve to be solved more than once because they teach multiple techniques.

We maintain a special collection containing problems that illustrate:

Unexpected substitution

Symmetry

Invariant-type thinking

Elegant counting

Powerful geometric construction

Short contradiction

Useful economic interpretation

These become high-value revision problems.

THE WRONG-APPROACH LIBRARY

We also deliberately preserve incorrect solutions.

Why?

Because sometimes the most educational question is:

WHY DOES THIS APPROACH FAIL?

Students learn to identify:

Unjustified assumptions

Division by zero

Double counting

Incorrect converse

Domain violation

False geometric inference

Wrong economic model

Illegal differentiation/optimisation step

This creates intellectual caution.

THE ERROR JOURNAL

Every student can maintain an individual error journal.

Mistakes are classified as:

ALG — Algebra

NT — Number Theory

GEO — Geometry

TRIG — Trigonometry

COMB — Combinatorics

CAL — Calculus

PROOF — Logical/Proof Gap

ECO — Economics Concept

QM — Quantitative Mathematics

GRAPH — Graph Interpretation

READ — Misread Question

CALC — Calculation

TIME — Excessive Time

GUESS — Unsupported Guess

This creates a personalised revision programme.

THE “RIGHT ANSWER, WRONG REASON” FILE

Correct answers are also checked.

A student may get an answer right because:

They guessed.

Two calculation errors cancelled.

They remembered the old solution.

They accidentally used a special case as a general proof.

Such questions are tagged:

RRW — RESULT RIGHT, REASONING WRONG

They return to the practice queue.

THE PROBLEM REVISIT CALENDAR

Important problems are not solved once and forgotten.

They return through spaced revision:

First Solve

Concept acquisition.

Second Solve

Without notes.

Third Solve

After a gap.

Fourth Solve

Mutated version.

Fifth Solve

Mixed mock environment.

If the student still solves it independently, the concept is becoming robust.

THE 3-COLUMN SOLUTION REVIEW

After a difficult problem, students fill:

What I Saw What I Missed What I Should Notice Next Time

This helps turn a solution into transferable learning.

ISI MOCK MATERIAL SYSTEM

Mock materials are divided into different purposes.

Diagnostic Packs

Identify initial weaknesses.

Foundation Packs

Build chapter stability.

Mixed Problem Packs

Remove chapter clues.

Objective Packs

Decision-making and elimination.

Descriptive Packs

Full mathematical/economic solution construction.

Sample-Paper Simulation Packs

Closer to ISI-style examination thinking.

Challenge Packs

Unfamiliar problems for stronger candidates.

Final Mock Packs

Complete performance assessment.

MOCK PERFORMANCE MATRIX

After a mock, students should record more than total marks.

We examine:

Recognition Score

Did you know where to start?

Ex*****on Score

Once the method was known, could you complete it?

Accuracy Score

How often did calculation fail?

Insight Score

Did you recognise shortcuts or observations?

Presentation Score

For descriptive work, was the solution readable?

Time Score

How efficiently was time allocated?

This shows whether a low score comes from:

Lack of knowledge

Lack of observation

Lack of practice

Poor ex*****on

or poor examination strategy.

THE UNSOLVED PROBLEM BANK

Students sometimes throw away unsolved questions after reading the solution.

We do the opposite.

Important unsolved questions enter a special bank.

They must return later.

The process is:

FAIL → STUDY → CLOSE SOLUTION → REATTEMPT → MUTATE → RETEST

Failure becomes preparation material.

BEGINNING-TO-ADVANCED STUDY MATERIAL ROADMAP
STAGE I — FOUNDATION FOLDER

For B.Stat/B.Math:

Algebra
Number basics
Geometry
Trigonometry
Functions
Basic combinatorics

For MS (QE):

Economics fundamentals
Functions
Basic calculus
Graphs
Quantitative reasoning

STAGE II — CONCEPT-BUILDING FOLDER

Every major topic receives:

Concept note

Key result

Worked examples

Common errors

Practice set

STAGE III — METHOD-BUILDING FOLDER

Students learn reusable strategies:

Factorisation

Substitution

Symmetry

Case division

Contradiction

Coordinate method

Counting complement

Graph interpretation

Economic optimisation

STAGE IV — CONNECTION FOLDER

Problems deliberately combine topics.

For example:

Algebra + Number Theory

Geometry + Trigonometry

Combinatorics + Algebra

Calculus + Inequality

Economics + Calculus

Economics + Graphs

STAGE V — OBJECTIVE INTELLIGENCE FOLDER

UGA / PEA-oriented practice:

Recognition

Elimination

Option substitution

Special cases

Bounds

Time control

STAGE VI — DESCRIPTIVE CONSTRUCTION FOLDER

UGB / PEB-oriented practice:

Starting the solution

Choosing notation

Logical sequencing

Showing necessary work

Concluding properly

STAGE VII — OFFICIAL SAMPLE-PAPER FOLDER

Official ISI sample questions are studied and classified.

Not memorised.

STAGE VIII — PROBLEM-MUTATION FOLDER

Important questions are changed systematically.

This is where true learning is tested.

STAGE IX — MOCK FOLDER

Mixed examination simulations.

STAGE X — ERROR-REPAIR FOLDER

Only the student's recurring weaknesses.

STAGE XI — ADVANCED CHALLENGE FOLDER

For students aiming to strengthen creative problem solving.

STAGE XII — FINAL REVISION FOLDER

Highly compressed preparation immediately before examination.

INTENSIVE ISI STUDY MATERIAL CRASH KIT

The Crash Kit is not simply a shorter copy of the complete notes.

Its philosophy is:

FILTER → COMPRESS → RECONSTRUCT → PRACTISE → TEST → REPAIR

It contains specialised modules.

CRASH KIT A — FORMULA & RESULT RECALL

High-utility algebraic identities

Trigonometric relations

Calculus facts

Geometric results

Counting principles

Economic relationships

But formulas are accompanied by:

WHEN TO USE

and

WHEN NOT TO USE

CRASH KIT B — 100 HIGH-VALUE CONCEPT CHECKS

Short questions designed to expose conceptual gaps quickly.

CRASH KIT C — RAPID OBJECTIVE SETS

For UGA/PEA-style speed.

CRASH KIT D — DESCRIPTIVE STARTING-POINT SETS

Students are given problems and asked only:

Write the first three lines of the solution.

This trains method recognition quickly.

CRASH KIT E — ERROR COLLECTION

The student's own previous mistakes become revision questions.

CRASH KIT F — MUST-REVISIT PROBLEMS

A compact list of problems that teach disproportionately important ideas.

CRASH KIT G — OFFICIAL SAMPLE QUESTION REATTEMPT

Questions are solved again without looking at previous solutions.

CRASH KIT H — UNKNOWN PROBLEM PACK

No chapter labels.

No hint.

Fresh mixed questions.

CRASH KIT I — FINAL OBJECTIVE MOCKS

Speed + accuracy + selection.

CRASH KIT J — FINAL DESCRIPTIVE MOCKS

Solution quality + reasoning + time.

THE LAST 48-PAGE STYLE REVISION CONCEPT

Instead of reopening enormous notes, final material is progressively compressed into:

Sheet 1 — Algebra

Key structures and mistakes.

Sheet 2 — Number Theory

Divisibility, parity, remainders.

Sheet 3 — Geometry

High-value theorems and constructions.

Sheet 4 — Combinatorics

Counting decisions.

Sheet 5 — Calculus

Functions, derivatives, integrals.

Sheet 6 — Proof Tools

Contradiction, induction, counterexamples.

Sheet 7 — Economics

Core models and graphs for MS (QE).

Sheet 8 — Quantitative Economics

Optimisation and mathematics.

Sheet 9 — Personal Mistakes

Candidate-specific.

Sheet 10 — Beautiful Problems

Final high-value problem revision.

The precise compression can vary by candidate, but the philosophy remains:

REVISE IDEAS — NOT PILES OF PAPER.
WHO CAN USE THESE STUDY MATERIALS?

Students preparing for ISI B.Stat (Hons).

Students preparing for ISI B.Math (Hons).

Students preparing for ISI MS (QE) / MSQE.

Class XI–XII Mathematics students starting ISI preparation early.

Students who have completed the syllabus but lack advanced problem practice.

Olympiad-oriented students transitioning toward ISI entrance problems.

Candidates needing strong UGA objective practice.

Candidates needing UGB descriptive practice.

Economics graduates preparing for MS (QE).

Mathematics/Engineering/Commerce graduates preparing for quantitative economics.

Repeat candidates who need better sample-paper analysis.

Students requiring structured previous-question material.

Candidates joining close to the entrance examination and requiring crash-revision material.

Students using online/live classes who want organised practice sheets alongside teaching.

WHAT OUR STUDY MATERIAL SHOULD ACHIEVE

We do not want a student to finish a book and say:

“I solved 2,000 questions.”

We want the student to say:

“I can identify mathematical structure.”

“I can begin unfamiliar problems.”

“I know how to test a conjecture.”

“I can construct counterexamples.”

“I can distinguish a shortcut from an invalid argument.”

“I can write a mathematical solution clearly.”

“I understand the economic meaning behind a quantitative answer.”

“I know exactly which mistakes I repeatedly make.”

That is the purpose of an effective ISI study-material system.

QUESTION COLLECTION IS NOT ENOUGH.
SOLUTION COLLECTION IS NOT ENOUGH.
FORMULA COLLECTION IS NOT ENOUGH.

The complete process must be:

CONCEPT + QUESTION + STRUGGLE + SOLUTION + VARIATION + REATTEMPT + MOCK + ERROR ANALYSIS

That is how material becomes preparation.

ISI B.STAT STUDY MATERIAL
ISI B.MATH STUDY MATERIAL
ISI MSQE STUDY MATERIAL
ISI MS (QE) STUDY MATERIAL
UGA PRACTICE
UGB DESCRIPTIVE PRACTICE
PEA PRACTICE
PEB PRACTICE
ISI SAMPLE QUESTION SOLUTIONS
ADVANCED MATHEMATICS PROBLEM SETS
QUANTITATIVE ECONOMICS MATERIAL
COMPLETE CONCEPT NOTES
MOCK TEST MATERIAL
PYQ & SAMPLE-PAPER ANALYSIS
BEGINNING-TO-ADVANCED MATERIAL
INTENSIVE CRASH REVISION KIT

For ISI B.Stat, B.Math and MS (QE)/MSQE Study Materials, Notes, Problem Sets, Sample-Paper Practice, Mock Tests and Complete Entrance Guidance:

Phone: 9836793076
Website: www.souravsirclasses.com
Dr. Sourav Sir’s Classes

Address

8/2C KASHI GHOSH Lane
Kolkata
700006

Telephone

9836793076

Website

https://www.souravsirclasses.com/isi-b-stat-b-math-msqe

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