∂
why > what
We re-derive every formula. Every time.
It costs ten minutes per lecture and saves the entire retention curve. A working note on derivation-first teaching.
Read note → Colombo · island-wide · est. 2010
We teach the working,
not the
answer.
MathDOC X is the Advanced Level Combined Mathematics programme by Rajika Wimalarathne. Concept-first theory, mark-scheme discipline, and a revision arc built around one belief — a student who understands the proof never forgets the formula.
∫
∑
eiπ + 1 = 0
Taught, not memorised
Live Theory · Sat 8.00
No. 037 · Calculus unit
0+
Years teaching A/L
0K+
Students mentored
0·
Full mock papers / year
0%
Pass rate, 2025 cohort
Selected modules · 2026
Three units worth
a second look.
The full Combined Maths syllabus runs to nine units. These three are where most A/L marks are won or lost — so we rebuilt them from the mark scheme backwards.
∫
∫₀^∞ e^(−x²) dx = √π ⁄ 2
Pure · Unit 02 — Differential & Integral Calculus
→
F = ma
Applied · Unit 05 — Mechanics
x²
det(A − λI) = 0
Pure · Unit 01
△
r · (n̂ × d̂) = p
Pure · Unit 03 — Geometry & Vectors
x̄
P(A|B) = P(B|A)·P(A) ⁄ P(B)
Statistics · Unit 06 — Probability & Distributions
Chapter 01 · The Sir
One teacher.
One promise:
clarity.
MathDOC X began in 2010 as a Saturday theory class of eleven students in Colombo. Fifteen years later it is an island-wide programme — physical classes, a live online cohort, an LMS of recorded units, and a past-paper archive discussed line by line — still taught by the same person who wrote the first tute.
A formula memorised is a formula forgotten. A proof understood is yours forever. — Rajika Wimalarathne, founder
We keep classes deliberately small on the board-side, mark every monthly paper personally, and run the same continuity for each batch: the same teacher, the same method, from the first tute to the final exam.
The method
Five rules we
refuse to bend.
Not aspirations — constraints. Written down in 2015 after four batches, and not relaxed since. Every class, tute and mock is built inside them.
01 / Foundation
Concept first, always.
Every formula on the sheet is derived on the board before it is ever used. Students who know where a result comes from stop fearing the questions that rearrange it.
02 / Discipline
The mark scheme is the syllabus.
Method marks, not final answers. We train the way examiners read.
03 / Cadence
Monthly mocks, marked personally.
Twelve full papers a year, under real timing, with written feedback.
∞
14 weeks · 1 target
The final revision arc
05 / Access
Every lecture, recorded and indexed.
The MathDOC X LMS holds every unit by topic, with synced tutes and solutions. Island-wide students attend live and revise from the same archive — nothing is lost between Colombo and anywhere else.
How it works
From enrollment
to exam day.
Six steps, one cohort, zero surprises. Most students join in December–January; late entry is possible with a catch-up pack.
Step 01
Enroll
Register online or at the Colombo class. Batch placement within 48 hours.
Step 02
Diagnostic
A short O/L-level paper tells us exactly where your foundations need filling.
Step 03
Theory units
Weekly board sessions, printed tutes, and derived-not-memorised formulas.
Step 04
Practice cycle
Tute drills marked weekly. Mistakes become the next week's warm-up.
Step 05
Mock exams
Twelve full papers a year under exam timing, with personal written feedback.
Step 06
The arc
The 14-week final revision intensive. Two full passes of the syllabus.
Where our students landed · 2020–25
MoratuwaPeradeniyaColombo
KelaniyaRuhunaSLIITFaculty of Med.
Notes from the board
Short notes we
wanted written down.
Method notes, exam strategy, and the occasional opinion about how A/L maths is taught. Published between lectures.
∂
✓
method marks
The mark scheme is the real syllabus.
Why the examiner's rubric — not the textbook index — should decide how you structure a written answer.
Read note →
14w
×2 passes
The 14-week arc, explained.
One pass by unit, one pass by paper pattern, twelve mocks in between. The full anatomy of our final term.
Read note → Enrollment · 2026 academic year
Have an A/L year
that deserves the A?
Batches for 2026 open in December and fill by February. If you are sitting the exam in 2026 or 2027, the right time to send a first note is now.