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Mechanics and Waves, from Newton to the wave equation

Classical Mechanics, Oscillations and Waves for university physics and engineering — one-to-one and online, with your problem sheets as the syllabus.

What this covers in detail

Classical Mechanics

Newton’s laws, work and energy, momentum and collisions, rotation and rigid bodies, central forces, and Lagrangian and Hamiltonian mechanics.

Oscillations

Simple harmonic motion, damped and driven oscillators, resonance and coupled oscillators with normal modes.

Waves

The wave equation, travelling and standing waves, superposition, interference, dispersion and Fourier analysis.

First-year physics is mostly mechanics, and mechanics is mostly setting the problem up: choosing the frame, drawing the forces, writing the right equation. These lessons train that setup until it is automatic — then carry it into oscillations and waves, where the same maths keeps coming back.

What this covers

Setup before algebra

Frames, free-body diagrams and conserved quantities first — most lost marks happen before the first equation.

The maths, where it bites

Differential equations, vectors and Fourier series taught at the moment the physics needs them.

Problem sheets and past exams

Lessons work through your course’s sheets and past papers, so practice matches what is examined.

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.

  • Single Sessions

    For when you need help, right when you need it.

    €50 / hour
    • ✓ 1-on-1 with your tutor
    • ✓ Personalised support for your questions
    • ✓ Session summary notes
    • ✓ No commitment
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    Continuous Learning

    For students who want consistent learning and steady progress.

    €40 / hour
    • ✓ Regular weekly lessons
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    • ✓ Custom study materials
    • ✓ Progress tracking & homework support
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  • 2-WEEK INTENSIVE

    Exam Preparation Sprint

    For students with an upcoming test or exam who need focused preparation over a short period.

    €45 / hour
    • ✓ 8 hours of focused tutoring over 2 weeks
    • ✓ Targeted revision of key topics
    • ✓ Exam-style exercises and practice
    • ✓ Custom study materials
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Lessons at the student's home carry an extra charge of €10/hour.

Common questions

Which courses is this for?

First- and second-year mechanics, oscillations and waves in physics and engineering degrees, including analytical mechanics (Lagrangian and Hamiltonian).

My problem is the maths, not the physics. Can this help?

Yes — that is common. The differential equations and vector calculus are taught alongside the physics rather than assumed.

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.

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