Start with your question
Why visitors arrive: You need an engineering, physics, or maths tutor – or help with Oxford admissions or ESAT/PAT/TMUA – and want to see real qualifications first.
Your question: What does Lucas Rey teach, and what on this site backs that up?
You may also be asking
- Do you tutor physics and mathematics as well as engineering?
- Can you help with Oxford or Cambridge engineering interviews?
- Are there free curriculum resources before booking?
- How do ESAT, PAT, and TMUA preparation work here?
- How do I enquire about sessions?
Where to go next
- Fluid mechanics curriculum – Open modules and problem sets
- Oxbridge lexicon – Admissions terminology reference
- Calculators – Quantitative tools used in teaching
- Technical notes – Derivations and methods for revision
- Engineering hub – Full learning platform and tools
- Teaching enquiry – Contact form with teaching intent
Teaching & Mentorship
University STEM Support & Admissions Guidance
Quantitative mentoring from first principles for competitive university admissions and engineering supervisions.
Overview
- Mentorship focus: First-principles physics, thermodynamics, fluid mechanics, and structural mechanics.
- Admissions tests: Targeted support for ESAT, PAT, and TMUA assessments.
- Format: Supervisions and quantitative interview preparation (estimation, unit checks, logical flow).
- Enquiries: Scoped requests only – please use the Teaching Enquiry Form.
01 / Methodology
Supervision-Style Approach
Teaching follows the exact same materials published on this platform: structured fluid mechanics modules, dimensional similarity analysis, and transient measurement uncertainty. Sessions mirror Oxford/Cambridge supervisions:
- Concept Rigour: Deriving equations from conservation laws, not memorizing final formulas.
- Dimensional Discipline: Finding patterns through Buckingham Pi theorem and similarity scaling before calculation.
- Self-Correction: Building the testing habits required to evaluate your own answers.
02 / Core Remits
University Engineering
Supervision support for thermodynamics, fluid dynamics, heat transfer, and structural mechanics. Connecting university problem sets directly to the research notes and numerical codes published on this site.
ESAT, PAT & TMUA Preparation
Targeted mentoring for university admissions tests. The curriculum focuses on developing first-principles reasoning and rapid estimation under constraints.
University Interviews
Mock technical interviews focusing on physical reasoning and communications. Students learn to handle unfamiliar problems, voice physical assumptions clearly, and verify units systematically.
03 / Open Materials
I publish my teaching materials openly for self-study. I expect prospective students to review these modules before enquiring:
- Fluid Mechanics Curriculum – Theory and worked problems
- Engineering Calculators – Similarity scaling and properties
- Technical Notes – Detailed aerothermal derivations
- Oxbridge Lexicon – Academic terminology guide
Part of
This page sits within the broader knowledge structure on lucasrey.com:
- Teaching - Engineering-informed teaching, mentoring, and quantitative reasoning.
Connected work
Related content from the same research and engineering work:
- Structured curriculum
- Research publications
- Applied projects
- Instrumentation theme
- Teaching hub - Referenced from Problem-solving procedures
- Teaching hub - Referenced from Viscous flow – problems
- Teaching hub - Referenced from Dimensional analysis – problems
Engineering knowledge platform
More tools, curriculum, notes, and research from the same body of work:
- Engineering - Central knowledge platform - tools, curriculum, notes, research, and applied engineering work.
In my engineering work
Teaching is informed by the same technical work published and built here:
- Engineering calculators - Interactive tools for thermophysical and measurement problems.
- Publications - Research in aerothermal and fluid engineering.
- Projects - Applied engineering work and case studies.
- Fluid mechanics curriculum - Structured learning paths from first principles.
- Articles - Long-form reference writing (pilot collection).
- Oxbridge lexicon - Terminology reference for admissions contexts.
- ESAT worked solutions - Step-by-step worked solutions and exam preparation guide.
- Engineering hub - Central knowledge platform - tools, curriculum, notes, and research.
- Instrumentation & measurement - Probe calibration and uncertainty workflows from published research.
- Turbomachinery deterioration - Flagship HPT research programme at Oxford Thermofluids.
- Experimental aerothermal measurement - Methods article on traceability, similarity, and facility transfer – links instrumentation, curriculum, and tools.
- CFD–experiment validation - Methods article on closing the loop between RANS simulations and transient aerothermal measurements.
- Engineering notes - Reference material and methods documentation – instrumentation and turbomachinery clusters.
- about - Central knowledge platform – tools, curriculum, notes, and research assets.
- Collaborate - Central knowledge platform – tools, curriculum, notes, and research assets.