Overview
We tutor mathematics from secondary-school algebra through first- and second-year university courses: algebra and functions, trigonometry, differential and integral calculus, sequences and series, differential equations, linear algebra, and discrete mathematics (logic, sets, combinatorics, graph theory and proof). Each program is anchored to your syllabus, whether that is an IB Math AA or AI guide, an A-Level specification, AP Calculus, a French spécialité or a university module outline.
Sessions are active. You attempt problems on a shared whiteboard while talking through your reasoning, which shows us precisely where an error enters: a sign slip, a misapplied chain rule, a quantifier read backwards. We then model the idea with a worked example, give you a similar problem with less support, and finally an unfamiliar one. Between sessions you receive a short practice set with full worked solutions, chosen to space out and interleave topics rather than repeat one type twenty times.
For university students the emphasis shifts toward rigor and communication: writing a clean epsilon–delta argument, structuring an induction proof, justifying each step of a row reduction, or explaining why a matrix is diagonalizable. We teach how to read a definition, test it on examples and counterexamples, and turn it into a proof you can write yourself.
Who it’s for and the problems it solves
This is for you if you are…
- Secondary students whose algebra or function skills are slowing down every new topic
- IB, A-Level, AP and bac students preparing for calculus-heavy exams or non-calculator papers
- First-year university students in calculus, linear algebra or discrete math modules, including engineering, economics and computer science majors
- Students who can follow a worked example but can't start a problem on their own
- Adults returning to study who need to rebuild mathematical confidence before a course or quantitative entrance test
Common problems we help with
- Algebraic manipulation errors (signs, fractions, exponents, logarithms) keep costing marks in otherwise correct methods
- You can differentiate and integrate routine functions but get stuck on related rates, optimization or integration by parts versus substitution choices
- Linear algebra feels like a list of procedures: you can row-reduce but can't say what a span, basis or eigenvector means
- Proof questions in discrete math or analysis leave you staring at the page, unsure how to start
- You run out of time in exams because routine steps aren't automatic yet
- Word problems and modeling questions make you unsure which technique applies
What’s included — and what isn’t
Included
- A diagnostic session with a short task set that locates missing prerequisites and misconceptions
- A learning plan mapped to your syllabus or module outline, with topics ordered by dependency and exam date
- Live one-to-one sessions on a shared whiteboard, with written or exported notes afterwards
- Algebra and functions: factorizing, rational expressions, inequalities, exponentials and logarithms, transformations of graphs
- Calculus: limits, derivatives and their applications, techniques of integration, areas and volumes, series and introductory differential equations
- Linear algebra: systems of equations, matrices, determinants, vector spaces, linear transformations, eigenvalues and diagonalization
- Discrete math: propositional and predicate logic, sets and functions, counting, recurrences, graphs and trees, and proof techniques (direct, contradiction, contrapositive, induction)
- Practice sets with complete worked solutions between sessions, including calculator and non-calculator practice where your exam requires it
- Timed exam-style practice and feedback on mathematical communication (notation, justification, showing working)
- Progress reviews every few weeks comparing current attempts with the diagnostic
Not included
- Completing graded homework, problem sets, online quizzes or take-home exams that you will submit
- Writing IB math internal assessments (the exploration) or any other coursework for you; we can teach the mathematics you choose to use
- Sitting or assisting during any live test or exam
- Promising a particular grade or exam result
What you receive
- Diagnostic summary
- A one-page note on what you already do well, the specific gaps found (for example 'inverse-function notation', 'choosing u in substitution'), and where the plan will start.
- Learning plan
- Topic sequence with target dates tied to your exam calendar or module schedule, updated as you progress.
- Session notes
- Key definitions, the worked examples from the session and the specific mistakes to watch for, so you can revise without rewatching anything.
- Practice sets with worked solutions
- Short, interleaved problem sets after each session, graded in difficulty, with full solutions you check after attempting.
- Progress review
- Periodic comparison of timed attempts against the diagnostic, with the next priorities; for younger students, a short summary for parents.
How it works
Tell us the course and goal
Share your syllabus or module outline, recent tests or feedback, and your exam dates. Let us know whether the priority is catching up, keeping pace or exam preparation.
Diagnostic session
You work through a short, targeted set of problems while explaining your thinking. We identify the earliest point where understanding breaks down.
Plan and rebuild
Early sessions repair prerequisites quickly, usually algebra and functions, before moving to the topics you're currently studying.
Guided to independent practice
Each topic moves from worked example to supported attempt to an independent, unfamiliar problem. Practice sets reinforce and space out what you learned.
Exam phase and review
Closer to exams, sessions shift to timed papers, mark-scheme reading and error logs. Progress reviews decide what to prioritize in the time left.
How we teach mathematics
- Think-aloud diagnosis
- Asking you to narrate your steps reveals whether an error is conceptual, procedural or a slip, which require very different fixes.
- Faded worked examples
- A full example, then one with steps missing, then an independent attempt. This reduces overload when a technique is new.
- Multiple representations
- Connecting symbolic, graphical and numerical views, for example seeing a derivative as a slope, a rate and a limit, or a matrix as a transformation of the plane.
- Interleaved and spaced practice
- Mixing problem types so you practice choosing a method, not only executing it, and revisiting topics after a gap.
- Error logs
- A running list of your recurring mistakes with a correct example, reviewed before tests.
- Proof scaffolds
- For discrete math and analysis: unpacking definitions, testing examples, identifying the proof technique, then writing a clean argument in full sentences.
- Technology where the syllabus uses it
- Graphing tools such as Desmos or GeoGebra and graphical display calculators for courses that allow or require them; non-calculator fluency for those that don't.
Typical sticking points at each level
Knowing where students commonly get stuck lets us check for these issues early rather than waiting for a failed test to reveal them.
- Lower secondary: negative numbers, fractions and ratio, forming and solving linear equations, reading graphs
- Upper secondary: function notation and composition, quadratics, exponent and log laws, trigonometric identities, radians
- Pre-university calculus: limits, chain and product rules, implicit differentiation, choosing an integration technique, modeling with differential equations
- University linear algebra: moving from computation to concepts such as span, independence, basis, rank and eigenvectors
- Discrete math: negating quantified statements, counting without double-counting, setting up strong induction and recurrences
Exam technique is a separate skill
Plenty of students understand the mathematics and still underperform because they don't show enough working for method marks, misread command words such as 'show that' versus 'find', or spend too long on a single question. In the weeks before an exam, we practice with timed papers from your board or course, read mark schemes together, and build a question-selection strategy.
For exams that ban calculators (for example some IB and A-Level papers, or the French première maths épreuve anticipée, which starts with a multiple-choice section on basic skills), we deliberately rebuild mental and written fluency with quick daily drills.
When math is part of another subject
Physics, chemistry, economics and engineering students often struggle with the mathematics rather than the science. We can tutor the math in context, for example rearranging formulas, differential equations for circuits or constrained optimization in economics, and coordinate with a science or economics tutor if needed. If your main need is statistics, statistics tutoring is the better fit.
What the work can look like
Illustrative example — fictional data
Sample progress note: first-year calculus
A fictional first-year engineering student scored poorly on an integration quiz and asked for help four weeks before the midterm. The details below are invented to illustrate what a progress note looks like.
Diagnostic finding
Integration by substitution was being attempted without checking whether the derivative of the inner function was present. The root cause was weak recognition of composite functions, not integration itself. Algebraic simplification of rational expressions was also slow.
Sessions 1–3
Composite-function recognition drills; substitution practice with faded worked examples; a decision checklist for choosing between substitution, parts and partial fractions. Practice sets interleaved these with differentiation review.
Review after three weeks
On a mixed timed set of ten integrals, correct method choice rose from four to eight; remaining errors were algebraic. Next priority: partial fractions and improper integrals, plus two timed past midterms.
Illustrative example with an invented student and invented figures. Real progress notes reflect your own course and results.
What you’ll need to provide
- Your syllabus, specification or module outline, and the textbook or lecture notes you use
- Recent tests, marked work or teacher feedback, so we can see error patterns
- Exam dates, calculator rules and any formula booklet you're allowed
- A way to write math during sessions: a tablet with stylus, a drawing pad, or paper and a phone camera
- Time between sessions for the practice set (usually modest, but consistent)
You don’t need everything ready to ask for a quote — tell us what you have and we’ll say what’s missing.
What affects price and turnaround
Price depends on
- Level of mathematics, from secondary school to advanced undergraduate topics such as abstract linear algebra
- Session length and frequency
- Amount of custom practice material and marked timed papers between sessions
- How close the exam is and whether intensive scheduling is needed
- Whether a specific syllabus or board requires specialized preparation
Turnaround depends on
- Tutor availability in your time zone and preferred session times
- How soon you can share your syllabus and recent work for the diagnostic
- Intensive pre-exam schedules need booking as early as possible
Every project is quoted individually. How we price our work.
Questions people ask before starting
Can you tutor the exact syllabus my school or university uses?
Yes. Send us the specification, subject guide or module outline and recent materials. We align notation, allowed methods and question style to it, for instance whether your course expects matrices written with brackets or parentheses, or whether calculators are allowed.
I need help with my problem set due this week. Can you help?
We can teach the methods behind it using similar problems, and check your understanding of the ideas. We won't solve the graded problems for you to hand in. Working a parallel example together and then letting you attempt your own is usually the fastest way to learn it anyway.
How do sessions work online for math?
We use a shared whiteboard where both of us can write, and you can upload photos of your working. A tablet with a stylus makes it easiest, but paper and a phone camera work fine. Whiteboard pages are exported so you keep them.
Do you cover proofs and more abstract courses?
Yes, including introductory proof courses, discrete mathematics and first courses in linear algebra and real analysis. Tell us the module and textbook so we can confirm the tutor is comfortable with that level before you start.
How long before I see improvement?
It varies with the size of the gap and how much practice happens between sessions. Many students notice routine skills becoming faster within a few weeks; deeper topics take longer. Progress reviews show you concretely what has changed rather than relying on impressions.