Calculus and Analysis, from computation to proof
Calculus, Real Analysis and Complex Analysis for Bachelor’s and Master’s students — one-to-one and online, with your own module, problem sheets and past exams as the syllabus.
What this covers in detail
Calculus
Limits, derivatives and integrals in one and several variables, series, partial derivatives, multiple integrals and vector calculus.
Real Analysis
Sequences and series, continuity, differentiability and the Riemann integral — rigorous epsilon-delta proofs, uniform convergence and metric spaces.
Complex Analysis
Holomorphic functions, Cauchy–Riemann equations, contour integrals, Cauchy’s theorem, Laurent series and residues.
Analysis is where university maths stops being about getting the answer and starts being about proving it. Most students who struggle are not missing the calculus — they are missing the habit of reading a definition, unpacking it and writing a proof that holds. That habit is what these lessons build.
What this covers
Your module is the syllabus
Bring the lecture notes and problem sheets. Lessons follow your course’s definitions and notation, not a textbook of our choosing.
Proofs you can write yourself
We work through how a proof is found, not just how it reads — so the next one on the exam is yours to write.
Built backwards from the exam
Past papers set the priorities: which theorems are examined, which proofs are asked for, and where the marks usually go.
Pricing
Choose the support that fits.
One-to-one tutoring, from a single session to consistent weekly progress.
Your first 30 minutes are free.
Start with a free 30-minute assessment. We will understand what the student needs and recommend the right plan.
Every plan includes live one-to-one lessons.
The Noktua practice platform is free with every account — even if you have not booked a lesson yet.
Lessons at the student's home carry an extra charge of €10/hour.
Common questions
Which courses is this for?
Any Bachelor’s or Master’s module in calculus or analysis — first-year Calculus I/II, Real Analysis, Complex Analysis, and the analysis in engineering, physics and economics degrees.
I can do the calculations but not the proofs. Can this help?
That is exactly the gap these lessons target. We take proofs apart line by line until the structure is familiar, then you write them with feedback.
Book your free 30-minute assessment
Tell us the year group and where it is going wrong. You will have a reply within 24 hours with a time.
Not ready to book? Create a free account and try the practice platform.