TMUA & MAT Comprehensive Course

Elite Math Skills & Strategy for Top Universities

UEIE's Comprehensive Course provides a deep dive into all TMUA & MAT topics. Benefit from expert-led lectures, extensive problem sets, and personalised feedback to build a strong foundation and maximise your exam performance.

Content:

Comprehensive Course

Online/In-Person

Year 12/13

Mandarin

Independent Teacher

An Oxbridge admissions test prep expert and competition coach with nearly 20 years’ experience and a Master’s degree. Guided hundreds of students to success in Oxbridge Admissions Assessments, with over 100 receiving offers from Oxbridge, the Ivy League, and the G5 Universities.

Aiming to conquer the TMUA & Oxford MAT and secure your place at a top university?

Why Choose UEIE's TMUA & MAT Comprehensive Course?

Our Most Comprehensive TMUA & Oxford MAT Course

Immerse yourself in 102 hours of in-depth instruction, covering every aspect of the TMUA ans Oxford MAT exams.

Master Core Math Skills

Build a powerful mathematical foundation with our unique Core Math Thinking module, designed to give you a decisive edge.

Extensive Guided Practice

Develop elite problem-solving skills through a rigorous program of guided practice with over 1600 practice questions, progressing from core concepts to advanced exam strategies.

Realistic Mock Exams

Hone your skills with 8 sets of TMUA and 4 sets of Oxford MAT Mock Exams, full-length, online format, and detailed solutions.

Flexible Learning Options

Benefit from Online/In-Person or All Online formats, plus access to session recordings for review and reinforcement at your own pace.

Expert Instruction from Xie Tao

Benefit from the unparalleled experience and insights of Xie Tao, a distinguished Oxbridge tutor with a Master's degree.

Optional Oxford MAT Extension Module

Prepare for all possibilities with our specialised, optional MAT Extension module for those targeting Oxford.

Become Part of a Success Story

Follow in the footsteps of 100+ students who have achieved success at Oxbridge, Ivy League, and G5 universities with Xie Tao's proven strategies.

Who Will Benefit Most

Students applying to Oxford, Cambridge, Imperial, LSE, UCL, or other top universities for mathematics, computer science, economics, or related quantitative fields.

Ambitious students targeting high scores on the TMUA and the Oxford MAT for a competitive edge.

Individuals seeking a structured and effective way to prepare for these challenging assessments.

Your Path to Success

Course Schedule of 2025

* Please note: schedule may subject to change due to holidays and official exams arrangements.
Month
Module
Online
In-Person
Duration

Feb-Jun

Weekend

Core Maths Thinking

30 hours

Jul-Aug
Holidays

TMUA & MAT
(Intensive)

40 hours

Sep. Weekends

TMUA & MAT
(Intensive)

8 hours

Oct Holidays

TMUA & MAT
(Pre-Test)
MAT Extension

24 hours
8 hours

Total

102 or 110
hours

• Online

All lectures are offered online, you can interact with the tutor.

• In-Person

You can take in-person sessions (if available) if you choose the online/in-person TMUA & MAT Comprehensive Course. Please contact us for more information about the in-person sessions.

• Core MathsThinking

Focuses on developing the mathematical thinking skills essential for success in TMUA & MAT.

• MAT Extension

Designed for the Oxford MAT, covers MAT-exclusive topics and MAT-style questions not included in the TMUA. An extra 8-hour MAT Extension module with 4 Oxford MAT mock exams are included for the Oxford MAT candiates free of charge.

Course Schedules

• Expand to Learn Detailed Schedule

Note that all times are listed as T.B.C. (To Be Confirmed) as the specific time slots are still being finalised. We will update you with the confirmed schedule as soon as possible.

• Simultaneous Live Online Lectures

All lectures will be streamed live online via Tencent Meeting or VooV Meeting, concurrently with any in-person sessions. Meeting IDs and access details will be provided separately.

• Recordings Available

All lectures will be recorded and made available for you to review at your convenience until the exam day.

Core Maths Thinking (Feb - Jun)

• Consistent Content Delivery

All classes cover the same material in each corresponding lecture and practice session.

• Attend Either Class

If you can’t attend your assigned class, you may attend the other class’s session for that same lesson.

Class 1

Saturday

09:30-11:30

(UTC+8, Beijing)

Class 2

Sunday

13:00-15:00

(UTC+8, Beijing)

Class 3

Saturday

18:30-20:30

(UTC+8, Beijing)

Class 4

Sunday

18:30-20:30

(UTC+8, Beijing)

Core Maths

Topic

Core Maths Practice
Feb 8 Sat Feb 9 Sun Mar 1 Sat Mar 2 Sun Lecture 01 Practice 01
Feb 11 Tue Feb 12 Wed Mar 8 Sat Mar 9 Sun Lecture 02 Practice 02
Feb 15 Sat Feb 16 Sun Mar 15 Sat Mar 16 Sun Lecture 03 Practice 03
Feb 22 Sat Feb 23 Sun Mar 22 Sat Mar 23 Sun Lecture 04 Practice 04
Mar 1 Sat Mar 2 Sun Mar 29 Sat Mar 30 Sun Lecture 05 Practice 05
Mar 8 Sat Mar 9 Sun Apr 12 Sat Apr 13 Sun Lecture 06 Practice 06
Mar 15 Sat Mar 16 Sun Apr 19 Sat Apr 20 Sun Lecture 07 Practice 07
Mar 22 Sat Mar 23 Sun Apr 26 Sat Apr 27 Sun Lecture 08 Practice 08
Mar 29 Sat Mar 30 Sun May 17 Sat May 18 Sun Lecture 09 Practice 09
Apr 12 Sat Apr 13 Sun May 24 Sat May 25 Sun Lecture 10 Practice 10
Apr 19 Sat Apr 20 Sun May 31 Sat Jun 1 Sun Lecture 11 Practice 11
Apr 26 Sat Apr 27 Sun Jun 7 Sat Jun 8 Sun Lecture 12 Practice 12
May 24 Sat May 25 Sun Jun 14 Sat Jun 15 Sun Lecture 13 Practice 13
May 31 Sat Jun 1 Sun Jun 21 Sat Jun 22 Sun Lecture 14 Practice 14
Jun 7 Sat Jun 8 Sun Jun 28 Sat Jun 29 Sun Lecture 15 Practice 15

TMUA & MAT Intensive (Jun - Sep)

• Flexible Choice

This lecture series is available in multiple regions, both in-person and online. Choose Only One location and period (or the online option) that best suits your needs.

• Unified Online Lessons in September

In-person participants from all regions will attend the September lectures online.

• In-Person Learning

In-person lessons will be held at Haoyuan Campus, with a synchronous online option also available.

Date Location TMUA & MAT
Jun 14 Sat In-Person: Haoyuan Or Online 9:00-12:00
Jun 15 Sun In-Person: Haoyuan Or Online 9:00-12:00
Jun 17 Tue In-Person: Haoyuan Or Online 18:30-20:30
Jun 19 Thu In-Person: Haoyuan Or Online 18:30-20:30
Jun 21 Sat In-Person: Haoyuan Or Online 9:00-12:00
Jun 22 Sun In-Person: Haoyuan Or Online 9:00-12:00
Jun 24 Tue In-Person: Haoyuan Or Online 18:00-21:00
Jun 26 Thu In-Person: Haoyuan Or Online 18:00-21:00
Jun 28 Sat In-Person: Haoyuan Or Online 9:00-12:00
Jun 29 Sun In-Person: Haoyuan Or Online 9:00-12:00
Jul 1 Tue In-Person: Haoyuan Or Online 18:00-21:00
Jul 3 Thu In-Person: Haoyuan Or Online 18:00-21:00
Jul 5 Sat In-Person: Haoyuan Or Online 9:00-12:00
Jul 6 Sun In-Person: Haoyuan Or Online 9:00-12:00
Sep 6 Sat Online 18:30-20:30
Sep 13 Sat Online 18:30-20:30
Sep 20 Sat Online 18:30-20:30
Sep 27 Sat Online 18:30-20:30
Total 48 hours
• In-Person Learning

Lessons will be held in-person, and the location is T.B.C., with a synchronous online option also available.

DateLocationTMUA & MAT
Jul 14 MonIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Jul 15 TueIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Jul 16 WedIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Jul 17 ThuIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Jul 18 FriIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Jul 21 MonIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Jul 22 TueIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Jul 23 WedIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Jul 24 ThuIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Jul 25 FriIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
 
Sep 6 SatOnline18:30-20:30
Sep 13 SatOnline18:30-20:30
Sep 20 SatOnline18:30-20:30
Sep 27 SatOnline18:30-20:30
Total 48 hours
• In-Person Learning

Lessons will be held in-person, and the location is T.B.C., with a synchronous online option also available.

DateLocationTMUA & MAT
Aug 4 MonIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 5 TueIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 6 WedIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 7 ThuIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 8 FriIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 11 MonIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 12 TueIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 13 WedIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 14 ThuIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 15 FriIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
 
Sep 6 SatOnline18:30-20:30
Sep 13 SatOnline18:30-20:30
Sep 20 SatOnline18:30-20:30
Sep 27 SatOnline18:30-20:30
Total 48 hours
• In-Person Learning

Lessons will be held in-person, and the location is T.B.C., with a synchronous online option also available.

DateLocationTMUA & MAT
Aug 18 MonIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 19 TueIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 20 WedIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 21 ThuIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 22 FriIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 25 MonIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 26 TueIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 27 WedIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 28 ThuIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
Aug 29 FriIn-Person: T.B.C.
Or Online
8:00-10:00
10:20-12:20
 
Sep 6 SatOnline18:30-20:30
Sep 13 SatOnline18:30-20:30
Sep 20 SatOnline18:30-20:30
Sep 27 SatOnline18:30-20:30
Total 48 hours

TMUA & MAT Pre-Test (Oct)

• Unified Bootcamp

All participants from the Intensive Course and Summer Bootcamp will join a unified Pre-Test Bootcamp, either in-person at the Haoyuan Campus or online.

• TMUA Mock Exams

You can take the TMUA Mock Exams (Paper 1 and Paper 2) online at your preferred time. It is crucial to complete each Mock Exam before attending the corresponding lecture.

DateMorning/Afternoon18:30-21:30
(UTC+8, Beijing)

Oct 1 Wed

TMUA Mock Exam 1

Paper 1    Paper 2

Topical Lecture 1 &
Mock Exam 1 Review

Oct 2 Thu

TMUA Mock Exam 2

Paper 1    Paper 2

Topical Lecture 2 &
Mock Exam 2 Review

Oct 3 Fri

TMUA Mock Exam 3

Paper 1    Paper 2

Topical Lecture 3 &
Mock Exam 3 Review

Oct 4 Sat

TMUA Mock Exam 4

Paper 1    Paper 2

Topical Lecture 4 &
Mock Exam 4 Review

Oct 5 Sun

TMUA Mock Exam 5

Paper 1    Paper 2

Topical Lecture 5 &
Mock Exam 5 Review

Oct 6 Mon

TMUA Mock Exam 6

Paper 1    Paper 2

Topical Lecture 6 &
Mock Exam 6 Review

Oct 7 Tue

TMUA Mock Exam 7

Paper 1    Paper 2

Topical Lecture 7 &
Mock Exam 7 Review

Oct 12 Sun

TMUA Mock Exam 8

Paper 1    Paper 2

Topical Lecture 8 &
Mock Exam 8 Review
Total8 TMUA mock exams24 hours
• Oxford MAT candidates only.
• Flexible Online Exams

You can choose when to take the Oxford MAT Mock Exams online. It is crucial to complete each Mock Exam before attending the corresponding Topical Lecture.

DateMorning/Afternoon19:00-21:00
(UTC+8, Beijing)

Oct 18 Sat

Oxford MAT Mock Exam 1

Topical Lecture 1 &

Mock Exam 1 Review

Oct 19 Sun

Oxford MAT Mock Exam 2

Topical Lecture 2 &

Mock Exam 2 Review

Oct 25 Sat

Oxford MAT Mock Exam 3

Topical Lecture 3 &

Mock Exam 3 Review

Oct 26 Sun

Oxford MAT Mock Exam 4

Topical Lecture 4 &

Mock Exam 4 Review

Total4 Oxford MAT mock exams8 hours

Enrol Now

Pledge to Top Universities, Win at the Starting Line!

TMUA & MAT Comprehensive Course

Original price was: US$12 320.65.Current price is: US$7 793.02.Add to cart

Original price was: US$10 948.64.Current price is: US$7 244.21.Add to cart

• All Online

All TMUA & MAT Comprehensive Course are exclusively offered online.

• Online/In-Person

During the in-person class sessions, you have the flexibility to join online or attend in person. At all other times, learning takes place online. Please note that accommodation, meals, and travel expenses for attending the in-person sessions are not included in the course fee.

Course Preview

Oxbridge Core Mathematical ThinkingCoursebook (PDF, 1st Edition)

Provides a deep dive into essential mathematical concepts and principles, develops your critical thinking skills, and builds a strong foundation for the TMUA and the Oxford MAT.

Book Covers 2025 Mathematical Thinking

TMUA & MAT 2025 Coursebook & Categorised Questions

Revised annually and aligns closely with the latest TMUA and Oxford MAT syllabi and features hundreds of exam-style practice questions designed to help you achieve top scores.

Purchase any bundle and get corresponding TMUA or Oxford MAT Categorised Questions (2025 Edition) PDFs FREE!

TMUA & MAT Practice Qustions (online)

Boost your exam performance with 1000+ online practice questions and detailed solutions covering all the essential topics.

TMUA & MAT Mock Exams (online)

12 full-length mock exams (8 TMUA, 4 Oxford MAT) meticulously recreate the official online testing environment. Build unshakeable confidence and excel on test day.

Contact Us

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Email

info@ueie.com

Phone

(+86) 136-9109-5140

Maths Module 1: Competition Maths Mastery

• Build a rock-solid foundation in essential mathematical concepts and skills.
• Develop creative problem-solving strategies to tackle even the trickiest questions.
• Gain the confidence and skills to excel in mathematical challenges.

Maths Module 2: Advanced Techniques for Competition Success

• Go beyond the fundamentals and delve into sophisticated problem-solving skills.
• Tackle challenging competition-level questions with confidence and precision.
• Develop advanced mathematical intuition and critical thinking ability.

Maths Module 3: Ace Advanced Maths Competitions

• Refine your problem-solving skills and strategies for top-tier competitions.
• Develop advanced mathematical thinking and intuition.
• Gain the confidence and expertise to tackle the most challenging problems.

Physics Module 1: Conquer the World of Mechanics

• Master the fundamental principles of mechanics, from motion to energy.
• Build problem-solving skills and apply mechanics concepts to real-world scenarios.
• Gain confidence in your ability to analyze and solve physics questions.

Physics Module 2: Unravel the Mysteries of Waves and Fields

• Dive into the fascinating world of waves and fields, and see how physics shapes our reality.
• Explore the behavior of waves, including sound, light, and electromagnetic waves.
• Understand the concept of fields, such as gravitational and electric fields.
• Apply physics principles to analyze real-world phenomena like communication technologies and medical imaging.

Physics Module 3: Ace Advanced Physics Competitions

• Prepare for top-tier physics competitions and achieve outstanding results.
• Refine your skills, gain confidence, and tackle the most challenging questions.
• Develop advanced mathematical thinking and intuition to excel in physics.

Core Maths Thinking

• Foundations

Problem-solving strategies, number sense, sets & functions

• Data Analysis & Statistics

Descriptive stats, probability, statistical reasoning

• Algebraic Thinking

Manipulation, polynomials, sequences & series

TMUA & MAT (Intensive)

• Algebra

Ratios and proportions, algebraic manipulations, equations, inequalities, polynomials

• Calculus

Differentiation, integration

• Functions

Graphs of functions, curve sketching, trigonometric functions

• Geometry

Plane geometry, coordinate geometry, Solid figures

• Sequences and series
• Statistics

Counting and probabilities, statistics

• Logical Reasoning & Mathematical Proofs

TMUA & MAT (Pre-Test)

• Topical lectures
• Mock exam review

Oxford MAT Extension

• Algorithmic Thinking Skills
• Deductive Reasoning
• Number Theory

Maths 1 (Intensive)

• Algebra

Manipulation, equations, inequalities

• Functions

Graphs of functions

• Geometry

Plane geometry, solid figures

• Number & Sequences

Counting, sequences, ratios & proportions

• Statistics and probability

Maths 2 (Intensive)

• Calculus

Differentiation, integration

• Functions

Curve sketching, trigonometry, exponentials & logarithms

• Algebra

Polynomials, equations, binomial expansions, series

• Geometry

Coordinate geometry

Physics (Intensive)

• Mechanics

Kinematics, statics, dynamics, work, energy, momentum

• Waves & Optics

Waves, ray optics

• Electromagnetism

Circuits, electrical elements, magnetism, electromagnetic induction

• Thermal Physics
• Matter
• Nuclear Physics

Chemistry (Intensive)

• Principles of chemistry

Atomic structure, chemical bonding, formulae and equations, separation techniques, quantitative chemistry, oxidation/reduction, electrolysis

• Inorganic chemistry

Metals, acids/bases/salts, chemical tests, air and water

• Physical chemistry

Energetics, kinetic/particle theory, rates of reaction, equilibrium

• Organic chemistry

Organic chemistry, environmental

Biology (Intensive)

• Cells and Gene expression

Proteins/enzymes, DNA, cell structure, gene mutation, membrane transport, cell division, gene technologies

• Genetics and Evolution

Inheritance, variation and natural selection

• Human Physiology

Digestive, respiratory, circulatory, nervous, endocrine, urinary, reproductive, immune system, homeostasis

• Diseases

Communicable and non-communicable diseases

• Plant Physiology

Respiration and photosynthesis, plant transport, transpiration

• Ecology

Ecosystem, material cycling, biodiversity

ESAT & PAT (Pre-Test)

• Topical lectures
• Mock exam review

Oxford PAT Extension

• Circular motion
• Wave optics
• Atomic Physics
• Astrophysics

Gravitation, moon phases, solar system

STEP Core

This module establishes the core mathematical principles assessed in STEP.

• Logic and Proof
• Counting
• Number Theory
• Algebra

Equations, Inequalities, and Polynomials

• Functions and Graphs

Functions, graphs, curve sketching, and trigonometric identities

STEP 2 Pure Mathematics

Dive deeper into pure mathematics with topics crucial for STEP 2.

• Trigonometry
• Sequences and Series
• Integration and Differential Equations
• Complex Numbers
• Vectors and Matrices
• Plane Geometry
• Coordinate Geometry

STEP 2 Mechanics & Statistics

Gain a solid understanding of mechanics and statistics concepts.

• Mechanics

Static equilibrium, kinematics, dynamics, energy and momentum

• Statistics

Probability, distributions, games and strategies

STEP 3 Pure Mathematics

Tackle advanced pure math topics to excel in STEP 3.

• Further Complex Numbers
• Maclaurin Series
• Further Differential Equations
• Further Vectors and Matrices
• Conics, Parametric Equations and Polar Coordinates

STEP 3 Mechanics & Statistics

Master challenging concepts in mechanics and statistics.

• Mechanics

Impact, circular motion, and simple harmonic motion

• Statistics

Further random variables

TMUA & MAT Core

• Statistics

Averages, ranges, distributions

• Counting & Probability

Permutations, combinations, and probability calculations

• Algebra

Algebraic manipulation, equations, inequalities, and polynomials

• Trigonometry

Trigonometric functions and identities

• Functions & Graphs

Graphing techniques and curve sketching

• Calculus

Differentiation, integration, and their applications

• Geometry

Plane geometry, coordinate geometry, and geometric proofs

TMUA Extension

• Solid Geometry

Properties of 3D shapes, surface area, and volume

• Ratios & Proportions

Direct and inverse proportion, scale factors

• Logic

Logical statements, reasoning, and proofs

MAT Extension

• Number Theory

Divisibility, prime numbers, and modular arithmetic

• Deductive Reasoning

Mathematical arguments, and formal logic

• Algorithmic Thinking

Elementary algorithm design and analysis

ESAT Maths 1

• Statistics

Average, range, distribution 

• Counting & Probability

Permutations, combinations, probability

• Algebra

Algebraic manipulation, equations, and inequalities

• Functions & Graphs

Graphs of functions

• Sequences

Number sequences and patterns

• Geometry

Plane geometry and solid figures

• Ratios & Proportions

Understanding and applying ratios

ESAT Maths 2

• Polynomials

Polynomial functions and equations

• Curve Sketching

Sketching graphs of various functions

• Trigonometry

Trigonometric functions and identities

• Exponentials & Logarithms

Exponential and logarithmic functions

• Equations

Advanced equation-solving techniques

• Binomial Expansions

Expanding binomial expressions

• Series

Arithmetic and geometric series

• Calculus

Differentiation and integration

• Coordinate Geometry

Using coordinates in geometric problems

ESAT Physics

• Mechanics

Kinematics, static equilibrium, dynamics, work and energy, momentum

• Matter

Properties of matter

• Thermal Physics

Heat, temperature, and thermodynamics

• Waves

Wave properties, wave phenomena (including optics)

• Electricity & Magnetism

Electric circuits, magnetic fields, electromagnetism

• Nuclear Physics

Basic concepts of nuclear physics

Oxford PAT Maths

• Algebra

Algebraic manipulation, equations, inequalities

• Trigonometry

Trigonometric functions and identities

• Sequences

Sequences, series and patterns

• Polynomials

Polynomial functions and equations

• Calculus

Basic differentiation and integration techniques

• Geometry

Plane geometry, coordinate geometry, solid figures

Oxford PAT Physics

• Mechanics

Kinematics, forces, energy, momentum

• Waves

Wave properties, wave phenomena

• Electricity & Magnetism

Electric circuits, magnetic fields

• Optics

Reflection, refraction, lenses

• Nuclear Physics

Basic concepts of nuclear physics

• Astrophysics

Moon phases, eclipses, solar system

ESAT & PAT Complete

This module is a combined mathematics and physics curriculum, drawing from topics in both ESAT and PAT.

• Maths

Statistics, algebra, trigonometry, functions, calculus, geometry

• Physics

Mechanics, matter, thermal physics, waves, electricity & magnetism, nuclear physics, astrophysics