Imperial College London  ·  Summer Term 2026

Master the maths
Imperial demands of you.

The gap between A-level and Imperial’s first-year curriculum is real. It hits fast. UMM closes it — with PhD-led live workshops mapped precisely to your module, 18-hour-a-day community moderation, and past paper-mapped sessions built around what Imperial’s examiners actually test.

7
Courses covered
9
Imperial programmes
18/7
PhD moderation
Live this term — register or pre-book
Calculus & Differential Equations
MATH40004 · ODEs, integration, multivariable methods
Live9/9 programmes
Linear Algebra
MATH40003 · Vector spaces, eigenvalues, transformations
Live9/9 programmes
Probability & Statistics
MATH40005 · Axiomatic probability, distributions, inference
Live9/9 programmes
Applied Maths & Modelling
MATH40007 · Mathematical frameworks across disciplines
Pre-register8/9 programmes
Vector Calculus
Foundations · Div, curl, Green’s & Stokes’
Pre-register8/9 programmes
Mechanics  ·  Real Analysis  + more
Opening Week 3 — register your interest now
Coming
Built for
Mathematics MSci · all variants
Mechanical Engineering MEng
Computing MEng · AI MEng
Physics BSc · MSci
Electrical & Electronic Engineering
Chemical Engineering MEng
Aeronautics MEng
Student working on laptop online mathematics
UMM Live — your workshop platform
Student focused on laptop screen
Live workshops — join from anywhere
Students working together online
PhD facilitators — live, rigorous, online
Cross-programme coverage

Every Imperial STEM student.
Every core course.

We mapped every first-year compulsory module across nine major Imperial STEM programmes. These seven courses cover every student — whatever their degree.*

* Coverage confirmed from publicly available Imperial course pages. Module references used for descriptive purposes only.

9
major Imperial STEM programmes covered by core courses
20K+
annual applicants across Imperial’s target STEM programmes
100%
syllabi mapped to Imperial’s publicly available course pages
28
live workshops per month in the complete suite
Imperial programmes covered per course
Calculus & DEs
9/9
Linear Algebra
9/9
Probability & Stats
9/9
Applied Maths
8/9
Vector Calculus
8/9
Mechanics
6/9
Real Analysis
4/9
The curriculum

Seven courses.
Every Imperial programme.

Every module mapped to Imperial’s publicly available first-year syllabi. Each course includes 4 live PhD-led workshops per month, plus unlimited UMM Academic Community access with PhD moderation 18 hours a day, 7 days a week.

01
Universal — all programmes
Calculus & Differential Equations
From advanced integration through to ordinary and partial differential equations. Mapped to Imperial’s MATH40004 “Calculus and Applications” and the maths modules across Engineering, Physics and Computing.
All programmes · 9/9Live now
02
Universal — all programmes
Linear Algebra
Vector spaces, linear transformations, eigenvalues and diagonalisation. Mapped to Imperial’s MATH40003 “Linear Algebra and Groups” and Computing’s MATH40012 variant.
All programmes · 9/9Live now
03
Universal — all programmes
Probability & Statistics
Axiomatic probability, distributions, statistical inference and data modelling. Mapped to Imperial’s MATH40005 with extension depth for Maths+Statistics students.
All programmes · 9/9Live now
04
Engineering & Science track
Applied Mathematics & Modelling
How mathematics underpins science and engineering. Mapped to Imperial’s MATH40007 “Introduction to Applied Mathematics” and Year 1 maths modules across all engineering departments.
Engineering + Science · 8/9Pre-register
05
Engineering & Science track
Vector Calculus
Divergence, curl, gradient, Green’s theorem, Stokes’ theorem. Concepts taught across Year 1 Engineering and Physics modules, building toward MATH50004.
Engineering + Science · 8/9Pre-register
06
Engineering track
Mechanics & Classical Dynamics
Newton’s laws, stress analysis foundations, vibrations and fluid mechanics basics. Mapped to MATH94001 / MECH40009 and Year 1 modules across Mechanical Engineering, Physics, EEE, Aeronautics and Chemical Engineering.
Engineering track · 6/9Week 3
07
Pure Maths specialist
Real Analysis
Opening Week 3

The rigour that separates A-level from university mathematics. Limits, sequences, series, continuity and the formal foundations of calculus. Mapped to Imperial’s MATH40002 “Analysis I” — the module where most Maths, Physics and Geophysics students experience the sharpest difficulty spike in Year 1.

PhD moderators provide worked solutions in the UMM Academic Community 18 hours a day. Pre-register now to secure your place in the first cohort.

The experience

Live. Rigorous. PhD-led.

Not pre-recorded video. Not passive content. Every workshop is a 60-minute, past paper-mapped session led by a doctorate-level mathematician who knows your Imperial module — followed by 18-hour-a-day moderation in the UMM Academic Community. Overnight questions answered the following day.

TIME PHASE WHAT HAPPENS
10 min 🔬 ANATOMY Deconstruct the problem to first principles. The examiner’s patterns identified. Where do Imperial students characteristically break down — and why?
15 min ⚙️ DRILL Live solution, step-by-step. Every decision narrated. Common errors surfaced and corrected in real time.
25 min ✅ CLOSE You solve, we mark. Exam-equivalent pressure. Competency demonstrated, not assumed. No surprises in the exam hall.
10 min 💬 OPEN FORUM Your questions from the Academic Community — the highest-voted problems from enrolled students, answered live.

We do not lecture. We facilitate transformation.

01
Start with a free trial
Every course includes a free trial workshop — no payment details required. Experience the full UMM method before you commit. Choose your tier after the trial, or cancel with one click. No pressure.
02
Attend live workshops
Four live sessions per course per month on UMM Live — our purpose-built live teaching environment. Small cohorts. Past paper-mapped. Your facilitator leads problem walkthroughs in real time.
03
Ask the community
Post questions to your course forum in the UMM Academic Community. Moderation active 18 hours a day, 7 days a week. Overnight questions answered the following day. Shared worked solutions, cross-cohort collaboration.
04
Watch back on demand
Every session recorded and available immediately. Rewatch problem walkthroughs before assessments. Your subscription includes the full term archive across all courses you are enrolled in.
Why UMM is different

Not a tutoring service.
An academic community.

Most supplementary learning is passive, generic, and disconnected from your actual degree. UMM is built around Imperial’s real syllabi, live doctorate expertise, and a moderated peer community that learns together.

UMM Academic Community
PhD facilitators mapped to Imperial’s actual module syllabi
4 live workshops per month per course — active problem-solving, not lecture replay
PhD moderation 18 hours a day — overnight questions answered by 9am
Peer cohort of Imperial STEM students — shared experience, cross-fertilisation of ideas
Course-specific forums with searchable worked solutions and full thread history
Full session recordings available immediately after each workshop
Generic tutoring / pre-recorded platforms
Generic university maths — not mapped to any specific institution’s modules
Pre-recorded video — no interaction, no real-time problem-solving
Email or ticket support — responses measured in days, not hours
Individual tutoring — no peer community, no shared learning environment
No moderated forum — students isolated when stuck outside sessions
Recordings gated or unavailable after trial period
UMM Academic Community

Your questions answered
18 hours a day.

A moderated academic forum — course-specific, PhD-supervised, and built for Imperial first-years. Post problems, share solutions, and learn from every cohort member’s questions. PhD moderators active 18 hours a day, 7 days a week. Overnight questions answered by 9am.

Course forum
Moderator
Threads
Last activity
Calculus & Differential Equations  MATH40004
ODEs · Integration · Multivariable Calculus
PhD moderated · 18hrs/day
847
threads
Imperial problem sheet 3 — Q7 on separable ODEs, can’t isolate the variable
Maths Year 1 student
PhD response posted
24 replies
PhD Moderator2 hours ago
When does the chain rule extend to implicit differentiation of F(x,y,z) = 0?
Physics Year 1 student
Student discussion
11 replies
Engineering Year 15 hours ago
[Worked solution] Laplace transform method for second-order linear ODE — full walkthrough
Resource · Calculus & DEs
PhD authored
56 views
PhD ModeratorYesterday
Linear Algebra  MATH40003
Vector Spaces · Eigenvalues · Group Theory
PhD moderated · 18hrs/day
612
threads
Cayley-Hamilton theorem proof — where does the characteristic polynomial substitution come from?
Computing Year 1 student
PhD response posted
18 replies
PhD Moderator1 hour ago
Understanding quotient groups — I get cosets individually but not why G/H is a group
Maths Year 1 student
Student discussion
9 replies
Maths Year 13 hours ago
Probability & Statistics  MATH40005
Distributions · Statistical Inference · Axiomatic Probability
PhD moderated · 18hrs/day
534
threads
[Resource] Moment generating functions — derivations and key results for Imperial exam prep
Resource · Maths+Stats
PhD authored
41 views
PhD Moderator4 hours ago
Convergence of random variables — almost sure vs. in probability
Maths Year 1 student
Student discussion
7 replies
Stats Year 16 hours ago
Applied Maths · Vector Calculus · Mechanics · Real Analysis
Opening Week 2–3 · Pre-register to receive first-access notification
Opening soon
4
courses
Latest activity across all course forums
Sigma algebras — why are they needed for rigorous probability?
Maths Year 1 · Analysis
7 replies
12 min ago
Workshop 3 recording live — Stokes’ theorem worked examples now available
PhD team · Vector Calculus
Announcement
1 hr ago
Newton’s second law in non-inertial frames — how to approach the exam question?
Engineering Year 1 · Mechanics
5 replies
2 hr ago
Eigenvalue decomposition — when does it fail and what do we use instead?
Computing Year 1 · Linear Algebra
4 replies
3 hr ago
Integration by parts on a definite integral — where does the boundary term go?
Physics Year 1 · Calculus & DEs
9 replies
18 min ago
Group learning

Where shared struggle becomes
shared mastery.

The students who thrive at Imperial are rarely those who study in isolation. The UMM Academic Community creates the conditions for cross-fertilisation of ideas — a cohort of first-years learning the same material, supported by the same PhD team, growing together.

01
Cross-programme cohorts
Maths students, engineers, physicists and computing students all face the same first-year mathematical challenges from different angles. Shared forums accelerate understanding in ways no individual tutoring session can replicate.
02
PhD-authored worked solutions
Every question posted receives a response from a doctorate mathematician — not a peer, not an automated system. Worked solutions are written to be reused, searched and referenced by every student in the cohort.
03
Ideas that bloom across courses
A Mechanical Engineering student’s question about ODEs illuminates a method a Computing student hadn’t considered. A Maths student’s rigorous approach to convergence helps an engineer understand why their numerical method diverged.
<2hr
average PhD response time during active hours
18/7
PhD moderation — overnight questions answered by 9am
7
course forums, each PhD-supervised
100%
questions receive a PhD worked solution
Student with laptop studying in room online
Study from your room — workshop quality
Student online learning with laptop
Community learning — across the cohort
Person at laptop online session
Rigorous mathematics — taught live
Academic team

A hybrid team built for
depth and reach.

UMM brings together three tiers of academic expertise — PhD graduates with substantial teaching records, doctoral candidates embedded in Imperial’s research environment, and Masters specialists who recently navigated the same first-year transition your students are facing now. A fourth tier of undergraduate peer moderators, supervised by the academic team, supports the community forum. Our founding panel includes Imperial-affiliated PhD graduates and doctoral candidates across all seven core courses. Individual profiles are published as panel members complete onboarding.

PhD Graduates & Academics
PhD Candidates
Masters Specialists
Undergraduate Peer Moderators
Founding Academic Director
PhD · Academic
Founding Academic Director
Appointment in progress
PhD · STEM · 20+ years university-level teaching across Mathematics, Engineering and Applied Sciences · Curriculum oversight across all 7 UMM courses
7courses under oversight
Head Facilitator
PhD Graduate
Head Facilitator — Calculus & DEs
PhD Mathematician
Doctorate · Applied Mathematics · 5,000+ verified tutoring hours · University-level teaching specialist
5K+tutoring hours
Workshop Facilitator
PhD Candidate
Workshop Facilitator — Linear Algebra
Doctoral Researcher
PhD Candidate · Pure Mathematics · Imperial College London · Current campus researcher · 1st Class undergraduate honours
Oncampus — Imperial
Workshop Facilitator
Masters
Workshop Facilitator — Probability
MSc Mathematician
MSc · Mathematics · First Class · University-level course specialist · 1,500+ verified tutoring hours
1.5K+tutoring hours
Undergraduate Peer Moderators
Junior Community Moderators
Current Imperial undergraduates — second and third-year students who lived through the same first-year modules your students are studying now. They moderate the Academic Community forum, answer questions from peer experience, and escalate to PhD facilitators for complex problems. Supervised by the PhD team. Vetted for course competence.
Year 2+
Imperial undergraduates
Peer
credibility & campus presence
PhD
supervised at all times

Full academic team profiles and credentials will be published upon programme launch.

Investment

Start free.
Stay for the results.

Every course begins with a free trial workshop — no payment details required. Experience the full UMM method before you spend a penny. When you are ready to continue, choose the tier that fits your term.

Free Trial
£0
one session · per course · no card required
Single Workshop
£180
drop-in · no subscription
Complete Course
£399
per month · per course
Course Bundle
£299
per month · per course · 2+ courses · save £100
Free Trial
Try It First
Every course includes one free trial workshop. No payment details required. No obligation. Experience the full UMM method — ANATOMY, DRILL, CLOSE, OPEN FORUM — before you spend a penny.
£0
one session · per course · no card required
Includes
Full access to one live workshop
Academic Community access during trial
Session recording available after
  • No payment details required
  • After your trial, choose how to continue — or cancel with one click
  • Available for every course
Start your free trial →
Drop-in
Single Workshop
One session. No subscription. No ongoing commitment. Attend the workshop, get the recording, done.
£180
one session · per course · no ongoing commitment
Includes
One live PhD-led workshop
Session recording available immediately
WhatsApp access during session
  • No subscription · pay once · attend once
  • Academic Community access not included
  • Upgrade to Complete Course or Bundle at any time
Book a session
Complete Course
One Course, Fully Supported
Four live workshops per month for one course, plus full Academic Community access. Everything you need to close the gap in your hardest module.
£399
per month · per course · cancel any time
Includes
4 live PhD-led workshops per month
Full session recordings, available immediately
UMM Academic Community — course forum access
Moderation 18 hours a day for your course
  • Cancel any month · no lock-in
  • Upgrade to Course Bundle and save £100/course
  • 14-day cooling-off right (UK Consumer Rights Act 2015)
Choose your course
Coming Soon
August Resit Intensive
Structured revision for Imperial first-year resit students. Intensive past paper-mapped sessions before August results. Register your interest now.
Register interest →
Who UMM is for

A platform built for everyone
in the Imperial ecosystem.

Students are our primary focus. UMM also provides structured pathways for parents, a curated Panel of Facilitators (PhD graduates, doctoral candidates and Masters specialists), an Affiliate programme open to all Imperial students, Junior Moderator roles for Year 2+ undergraduates, and Campus Associate positions for those with strong on-ground networks.

Primary
Students
First-year Imperial STEM students. Live workshops, 18/7 moderated community, full recordings. All 7 core courses.
Supporting
Parents
Gift a term’s subscription. Support your student through the steepest academic transition of their degree.
Panel
Facilitators
PhD graduates, doctoral candidates & Masters specialists. Deliver live workshops. Earn your advertised rate plus uncapped referral bonuses. UMM is expanding to UCL, Warwick and Manchester — founding panel members are first in line for senior roles. Join the Panel →
Now open
Earn £75/referral
Affiliates
Imperial undergraduates and postgraduates. Share your referral link. Earn £75 for every student who enrols. No cap. No commitment. Start today. Get your link →
Campus
Campus Associates
Be UMM’s presence at Imperial. Organise cohort sign-ups through societies and events. Earn per group enrolled.
£150/enrolment
Fundraise
Societies
Imperial STEM societies, pre-professional groups and student organisations. Earn £150 for every member who enrols — paid directly to your society account. No cap. Partner with us →
Undergrads
£500/month
Junior Moderators
Year 2+ Imperial undergraduates in Physics, Chemistry, Maths or Engineering. Moderate the Academic Community forum. £500/month. Apply by replying to our invitation. Apply →
£150/enrolment
Fundraise
Societies
STEM societies and student groups. Earn £150 for every member who enrols — paid to your society account. No cap. Partner with us →
Stay informed

Not ready to commit yet?
Stay in the loop.

Get updates when new courses open, when resit intensives launch, and when founding cohort places become available. One email. No spam. Unsubscribe any time.

Join the waitlist →

We respect your privacy. Your details are never shared with third parties.

Common questions

Everything you need
to decide.

If your question is not answered here, WhatsApp us on +44 7454 408219 and we will respond within the hour.

What happens if I miss a live session?
Every session is recorded and made available immediately after it ends. You can rewatch at any time. Missing a session does not mean missing the content.
How are the workshops structured?
Every 60-minute workshop follows our four-phase method: 10 minutes Anatomy (examiner patterns), 15 minutes Drill (live worked solutions), 25 minutes Close (you solve, we mark), 10 minutes Open Forum (your questions answered live).
Can I cancel my subscription?
Yes, at any time. There is no lock-in beyond the current billing month. You also have a 14-day cooling-off right under the UK Consumer Rights Act 2015 from the date of your first payment.
How does the 18-hour-a-day moderation work?
Post your question to your course forum in the UMM Academic Community at any time. Moderators are active 18 hours a day, 7 days a week. Questions posted overnight are answered the following morning.
Is UMM affiliated with Imperial College London?
No. UMM is an independent academic support service. All module references are based on publicly available Imperial College London course information. We are not affiliated with, endorsed by, or connected to Imperial College London.
What if I am not a first-year student?
UMM is designed for first-year Imperial STEM students. If you are preparing for August resits or returning to first-year modules, contact us via WhatsApp to discuss your situation. Our August Resit Intensive is opening soon.
More questions? WhatsApp us →

Don’t wait until the exam
to understand it.

Imperial’s first year is designed to challenge you from Week 1. The students who thrive are those who build understanding in real time — not those who try to catch up in Week 10.

Every course begins with a free trial workshop — no payment details required. Experience the full UMM method before you commit. Or book a free 15-minute call via WhatsApp before you decide.