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Online Maths Tutor Joshua
Joshua
Mathematics PhD Applied Mathematics
$111/hr
Active Mathematician (previously at UCL, Cambridge and The Mittag-Leffler Institute)
4 years of experience teaching undergraduate Mathematics at UCL
600+ hours of tutoring at The Profs
PhD in Applied Mathematics from UCL, specialising in Scientific Computing and Numerical Analysis
Joshua5.0410 classes
University College London (UCL) - Mathematics - PhD Applied Mathematics
Active Mathematician (previously at UCL, Cambridge and The Mittag-Leffler Institute)
4 years of experience teaching undergraduate Mathematics at UCL
600+ hours of tutoring at The Profs
PhD in Applied Mathematics from UCL, specialising in Scientific Computing and Numerical Analysis
| Recent Students: 12 |
| Total Hours: 630 |
| Last Online: |
| All-time Students: 35 |
| Total Classes: 410 |
| Signed Up: |
| Recent Students: 12 | Total Hours: 630 | Last Online: |
| All-time Students: 35 | Total Classes: 410 | Signed Up: |
About Me
Specialist tutor in undergraduate, master's and PhD/industry-level applied mathematics, mathematical analysis and computational mathematics.
I am an active mathematician with nearly 7 years of experience teaching university-level mathematics, including a 4-year teaching assistantship at UCL that funded my PhD, and over 600 hours of one-to-one tutoring through The Profs since 2022. I have taught dozens of STEM students across a range of disciplines and years of study, earning many 5-star reviews on Spires and Trustpilot (https://tinylink.net/4gSL5, https://tinylink.net/mCc5a), including one from a client whose grades rose from 34% to 76%, the largest possible jump within the UK grading system. I tutor across pure and applied mathematics, but specialise in teaching engineering and physics students, drawing on my background in scientific computing to frame ideas in a practical and useful way for these fields.
My tutoring follows a classical "chalk and talk" approach: sessions are planned rigorously but delivered conversationally, which lets me identify gaps in knowledge as they arise and adapt both the lesson and the longer-term plan accordingly. Alongside the mathematics, I emphasise study skills and tie the material to what my client is working on, contextualising it within their wider studies.
Every client receives a free initial consultation covering the overall goal, the challenging topics, the timescale, and a short assessment of where the conceptual issues lie. From here, I design a bespoke teaching plan that typically falls into one of two types. Long-term tuition runs over a term, an academic year, or the summer before a new course, and aims to build a lasting understanding at the client's pace. Exam preparation focuses on improving marks for an imminent exam, using past papers, course notes, and consultation to plan topics in the order most likely to have the greatest impact within the time available.
Please get in touch with any questions!
Josh
Tutor Experience
The Profs — October 2022 – present
5-star-reviewed tutor across undergraduate, master's and PhD-level mathematics, physics, and engineering. Subjects include:
Applied Mathematics & Theoretical Physics: ODEs, PDEs, probability & statistics, fluid mechanics, electromagnetism, general relativity, mathematical biology, waves & scattering, classical & Hamiltonian mechanics, dynamical systems, and various "Mathematics for Physics/Engineering/Economics/Computer Science" courses.
Pure Mathematics: Linear algebra, real & complex analysis, functional analysis, Fourier analysis, linear PDEs & distributions, multivariable analysis.
Computational Mathematics: Numerical analysis/methods, finite difference methods for ODEs, finite element methods for PDEs, numerical linear algebra.
Bespoke Master's/PhD support: Numerical linear algebra and programming (UCL Medical Imaging), topology of metric spaces (Rutgers Economics), academic writing and project organisation (Manchester, UCD, Bath).
Institutions of previous clients: Cambridge, Imperial, UCL, Bath, Southampton, Warwick, Nottingham, Manchester, LSE, Exeter, Lincoln, Loughborough, Newcastle, King's College London, UCD, Purdue and Rutgers.
UCL Mathematics Department — Teaching Assistant, 2019–2023
Awarded a TA scholarship to fund my PhD. Responsibilities and achievements included:
Second-year seminar tutor (fluid mechanics, mathematical methods, complex analysis) and first-year mathematics tutor.
Marker and exam report writer for undergraduate and master's exams (general relativity, fluid mechanics, mathematical methods).
Exam walk-in centre tutor and revision class lecturer for applied and computational mathematics.
Successfully mentored students to Oxbridge master's offers (Part III Cambridge, Oxford Numerical Analysis) and EPSRC summer research bursaries.
Completed the Institute of Education's "Teaching Undergraduate Mathematics" course.
Performance Through People — Mathematics Teacher, June–July 2018
Taught functional skills mathematics to the long-term unemployed, increasing average grades by 40% in one month.
Topic Expertise
Undergraduate and Postgraduate:
All areas of applied mathematics, mathematical analysis and computational Mathematics
Research interests:
Elliptic PDEs
Finite element methods
Scientific Computing
Computational Wave Propagation
Fractal Geometry
Computational Spectral Theory
Volume and Boundary Integral Equations
Numerical linear algebra
Client Reviews
Josh is incredibly helpful at explaining the tricky parts of problems and is quick to understand my difficulties and where i stand on certain equations and help me.
James - Maths
Very helpful , going through concepts at a good pace offers expansion when needed.
Freddie - Mechanical Engineering
above and beyond
so helpful, tysm
not only do i have concrete advice to go off, but I have a more positive outlook on my growth too
Ridwan - Physics
I found the lesson very helpful and relevant. Looking forward to applying what I have learnt to more questions. Knowledgeable and was able to assist with my various queries.
francis777ng - Maths
Tutoring Subjects
Background Checks
Verified
Qualifications
(UCL) PhD Applied Mathematics (2024)
(UCL) MSci Mathematics - First class honours (2019)
Availability
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