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IB AA Higher Level · Complete Programme

IB Mathematics AA HL —
The Complete Programme
by a PhD Mathematician

Built from 28 years of university mathematics teaching. Every topic from first principles — the way mathematics is meant to be learned. Seven components. One purchase. Lifetime access.

📐 27 Chapters · Full Syllabus
📊 1,500-Question Bank
🔬 Paper 3 Specialist Module
♾️ Lifetime Access
⚡ Founder's Cohort — Limited Seats
$399 $199

One-time · Lifetime access · All 7 components included

Begin Your Preparation →
✓ 30-Day Guarantee — full refund, no questions asked

30 of 50 Founder's seats remaining

🛡️ 30-Day Guarantee — full refund, no questions asked

Every purchase is covered. If within 30 days the programme is not right for you — write to us and we refund in full.
"Built from 28 years of university teaching. Every topic from first principles — the way mathematics is meant to be learned."
— Dr. Ritukar Chadha, PhD (Maths), M.Sc (Maths) · Founder, R. Chadha IB Maths
Full Syllabus — 27 Chapters

What the Programme Contains

Every chapter of the IB AA HL syllabus — plus the HL-only extensions. Each built to the 14-component R. Chadha Signature Model.

Ch 1
Sequences & Series

Arithmetic, geometric, sigma notation, convergence, sum to infinity

Ch 2
Permutations & Combinations

Counting principles, nPr, nCr, arrangements with restrictions

Ch 3
Binomial Theorem

Expansion, general term, Pascal's triangle, proof by induction applications

Ch 4
Functions I

Domain, range, composition, inverse, graphical transformations

Ch 5
Exponential & Logarithms

Laws of logs, natural log, exponential equations, modelling

Ch 6
Functions II

Rational functions, asymptotes, reciprocal, modulus functions

Ch 7
Polynomials I

Factor theorem, remainder theorem, polynomial division, roots

Ch 8
Polynomials II

Complex roots, sum and product, partial fractions, HL extensions

Ch 9
Proof I

Direct proof, proof by contradiction, mathematical induction

Ch 10
Proof II

Strong induction, disproof by counterexample, HL proof extensions

Ch 11
Trigonometry I

Unit circle, exact values, identities, equations, transformations

Ch 12
Trigonometry II

Compound angles, double angle, R-form, modelling, HL identities

Ch 13
Complex Numbers

Cartesian, polar, exponential forms, De Moivre's theorem, roots

Ch 14
Vectors

2D and 3D vectors, dot product, cross product, equations of lines

Ch 15
2D Geometry

Coordinate geometry, circle equations, intersections, proofs

Ch 16
3D Geometry

Planes, intersections, distances, angles between planes and lines

Ch 17–21
Differential Calculus

Limits, derivatives, rules, implicit differentiation, related rates

Ch 22–25
Integral Calculus

Antiderivatives, definite integrals, area, volume, integration techniques

Ch 26
Maclaurin Series

Taylor and Maclaurin series, interval of convergence, HL applications

Ch 27
Differential Equations

Separation of variables, Euler's method, slope fields, HL extensions

The Difference

Why This Is Not Another IB Course

Most IB resources are built backwards from mark schemes. This one is built forwards from mathematical principles.

Most IB Courses

Teach recognition of question types
Built from mark schemes backwards
Worked examples without reasoning
Paper 3 treated as an afterthought
IA guidance generic and shallow
Written by exam coaches

R. Chadha IB Mathematics AA HL

Teaches genuine mathematical understanding
Built from first principles forwards
Every example annotated with Thinking Framework
Dedicated Paper 3 specialist module
IA prepared as genuine mathematical writing
Written by a PhD Mathematician — 28 years university teaching
Seven Components

What the Programme Contains

One purchase includes all seven components — no add-ons, no separate purchases.

📖

Full Written Study Material

Complete written course across all 27 AA HL chapters — R. Chadha Signature Model with Thinking Framework boxes, fully reasoned worked examples, and layered practice sets.

27 Chapters · 1000+ Solved · 1250+ Practice Problems
🎥

Full Video Course

Every topic covered on video — concept by concept. Not recorded lectures but carefully structured lessons built specifically for IB AA HL and SL.

Complete Syllabus Coverage
📊

1,500-Question Practice Bank

Examination-style questions mapped to every topic and difficulty tier — Section A, B, and C. Builds genuine examination readiness, not question recognition.

1,500 Questions · All Difficulty Tiers
🔬

Paper 3 Specialist Module

Dedicated preparation for the HL extension paper — problem-solving approach, multi-concept reasoning, and worked examples at Paper 3 standard.

HL Paper 3 · Problem-Solving Approach
📝

IA Mathematical Depth Module

The Internal Assessment prepared as a piece of mathematical writing — not a school project. Topic selection, mathematical development, and presentation at a mathematician's standard.

IA Strategy · Mathematical Depth · Exploration
📹

Specialist Video Modules

Dedicated video sections for Paper 3 walkthrough, IA methodology, and GDC usage — the three areas where focused video guidance makes the biggest difference to final grade.

Paper 3 · IA Guidance · GDC Mastery
📄

Past Paper Coverage

Previous IB examination papers with worked solutions and examiner-perspective commentary — connecting each question back to its underlying mathematical concept.

Previous Years · Worked Solutions · Commentary
The R. Chadha Signature Model

14 Components — Every Chapter

The pedagogical architecture behind all 10 of Dr. Chadha's advanced mathematics textbooks. Applied to every chapter of IB AA HL.

Component 01
Prerequisite Audit

Every chapter opens with a gap diagnosis before new content begins

Component 02
Conceptual Introduction

The mathematical idea stated clearly — before any formula appears

Component 03
Formal Definition

Precise mathematical language — the standard a university would use

Component 04
Proof & Derivation

Why the result is true — not given, proven from first principles

Component 05
Thinking Framework

The reasoning pattern for this concept — transferable, not memorised

Component 06
Worked Examples (Tier 1)

Foundation examples — concept meets calculation, fully annotated

Component 07
Worked Examples (Tier 2)

Examination-standard — the level the IB actually tests

Component 08
Worked Examples (Tier 3)

HL Synthesis — multi-concept, Paper 3-style problems

Component 09
Common Error Analysis

The mistakes examiners see most — named, explained, corrected

Component 10
GDC Integration

Calculator technique where relevant — when to use, when not to

Component 11
Practice Set A

Skill-building — fluency with the core technique

Component 12
Practice Set B

Examination practice — IB-style questions, full range of difficulty

Component 13
Practice Set C

HL Synthesis — multi-topic questions requiring Paper 3 reasoning

Component 14
IA Seed

Investigation starting points with genuine mathematical depth

Founder's Cohort — Early Enrolment Pricing

Begin Your Preparation

The Founder's Cohort closes at 50 students. After that, pricing reflects the full value of the programme.

IB AA HL · Founder's Cohort

IB Mathematics AA HL
Complete Programme

⚡ Founder's Cohort — Early Enrolment
$399 $199

One-time payment · Lifetime access · USD · All future updates included

  • Full written study material — all 27 chapters
  • Complete video course
  • 1,500-question practice bank
  • Paper 3 specialist module
  • IA mathematical depth module
  • Specialist video modules (Paper 3, IA, GDC)
  • Past paper coverage with worked solutions
  • All future updates — included, always
Join the Founder's Cohort →
✓ 30-Day Guarantee — full refund, no questions asked

30 of 50 Founder's seats remaining

Add 1:1 Coaching with Dr. Chadha

Premium sessions with Dr. Chadha — targeted to your specific gaps, IA development, or Paper 3 preparation. Maximum 8 students globally at any time.

  • Direct sessions with Dr. Chadha — no proxies
  • Flexible scheduling — any time zone
  • IA guidance from first proposal to submission
  • Paper 3 targeted preparation

From $75 / session

Subject to availability · Applications reviewed individually

Apply for Coaching →

"The R. Chadha Signature Model exists because IB students deserve the same rigour as university mathematics students."

— DR. RITUKAR CHADHA, PhD (MATHS)

Before You Enrol

Questions About the AA HL Programme

Seven complete components: full written study material across all 27 chapters, video lessons for every topic, a 1,500-question practice bank, specialist Paper 3 modules, an IA mathematical depth supplement, GDC mastery videos, and full past paper coverage with worked solutions. One purchase — lifetime access.
Most HL courses are built backwards from mark schemes — they teach recognition, not understanding. The R. Chadha Signature Model teaches every topic from first principles using a 14-component architecture developed over 28 years of university mathematics teaching and 10 advanced textbooks. The difference is fundamental, not cosmetic.
Yes — and Paper 3 preparation is one of the course's core differentiators. The HL Synthesis tier of worked examples, the Practice Set C questions, and the specialist Paper 3 video module are all designed specifically for the problem-solving and mathematical reasoning Paper 3 demands.
The first 50 students — early enrolment pricing ($199) in exchange for feedback that shapes the final course. Founder's Cohort access is lifetime and includes all future updates. Once 50 seats are filled, pricing moves to $399.
Yes — entirely. Lifetime access, no fixed deadlines. Work through chapters in whatever sequence suits your IB Year 1 or Year 2 timeline. Revisit any section as many times as needed.
Yes — 1:1 coaching with Dr. Chadha is available separately, subject to availability (maximum 8 students at any time). Course buyers receive priority in the coaching queue. The recommended path: course first, then targeted coaching for gaps, IA, or Paper 3.
"Paper 3 is not a harder version of Papers 1 and 2. It is a different kind of thinking — and I teach that thinking."
— Dr. Ritukar Chadha, PhD (Maths), M.Sc (Maths) Join the Founder's Cohort →