ESAT+PAT自主學習套裝

謝濤出品ESAT+牛津PAT高分解決方案:視像,練習、模擬試三位一體!

ESAT和牛津PAT備試,如何事半功倍?謝濤老師的ESAT+PAT自主學習套裝,為你提供一站式解決方案。通過視像課程深度解析考點、海量習題鞏固知識、模擬試題模擬實戰,全面提升你的應試能力,助你決勝考場!

 為什麼選擇優易ESAT+PAT自主學習套裝?

高屋建瓴綱舉目張

謝濤老師精講ESAT+PAT視像課程,化繁為簡,直擊核心考點。

博採眾長聚沙成塔

1600+道精選練習,按主題和難度分級,配詳細解答,助你熟練掌握解題技巧。

厲兵秣馬臨場不懼

提供ESAT(數學1、數學2、物理)和牛津PAT模擬試題,模擬真實考試環境,讓你應考時胸有成竹。

授業解惑指點迷津

依托謝濤老師多年牛劍備試經驗和成熟教學方法,助你高效學習,最大限度提升學習效率。

抽絲剝繭水落石出

所有題目均提供詳盡解析,助你掌深入學習解題技巧,觸類旁通。

量體裁衣穩紮穩打

練習題和模擬試難度分層,滿足不同水平學生需求,穩步提升。

足不出戶隨時學習

支持電腦、手機、平板多端學習,不受時空限制,充分利用碎片時間。

獨樹一幟推陳出新

大部分題目為謝濤老師團隊原創或改編,緊貼大綱,課程內容定期更新,確保與考試同步。

適合人群

立志在牛津、劍橋或帝國理工攻讀工程、材料科學、科學或相關學科的學生。

期望在ESAT和牛津PAT考試中取得優異成績的學生。

尋求有系統、高效的方式來準備這些極具挑戰性的考試的學生。

立刻報名

加入謝濤老師的課程,鎖定ESAT和牛津PAT高分!

* 每個組合均包含視像課程、配套聯係題集和模擬試題,以助你鞏固學習成果。

* 課程資料有效期至考試日當天,方便你彈性安排學習進度。

視像課程模組

以下六個不同的ESAT+PAT視像課程模組,引領你逐步掌握ESAT和牛津PAT考試的全部重難點。

ESAT數學1

視像課程

ESAT數學2

視像課程

ESAT物理

視像課程

牛津PAT數學

視像課程

牛津PAT物理

視像課程

ESAT+PAT

視像課程

練習題集模組

以下六個對應的ESAT+PAT練習題集模組,助你鞏固學習成果,提供具針對性的練習和詳細解答。

ESAT數學1

練習題集

ESAT數學2

練習題集

ESAT物理

練習題集

牛津PAT數學

練習題集

牛津PAT物理

練習題集

ESAT+PAT

練習題集

課程預覽

常見問題

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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

ESAT數學1

• 統計學

平均數、範圍、分佈

• 計數與機率

排列、組合、機率

• 代數

代數運算、方程式和不等式

• 函數與圖像

函數圖像

• 數列

數字序列和模式

• 幾何

平面幾何和立體圖形

• 比率和比例

理解和應用比率

ESAT數學2

• 多項式

多項式函數和方程式

• 繪製圖像

繪製各種函數的圖形

• 三角學

三角函數和恆等式

• 指數和對數

指數和對數函數

• 方程式

高級方程式求解技巧

• 二項式展開

展開二項式表達式

• 級數

算術和幾何級數

• 微積分

微分和積分

• 坐標幾何

在幾何問題中使用坐標

ESAT物理

• 力學

運動學、靜態平衡、動力學、功和能、動量

• 物質

物質的屬性

• 熱學

熱、溫度和熱力學

• 波

波的性質、波的現象(包括光學)

• 電和磁

電路、磁場、電磁學

• 核物理

核物理的基本概念

牛津PAT數學

• 代數

代數運算、方程式、不等式

• 三角學

三角函數和恆等式

• 數列

數列、計數和規律

• 多項式

多項式函數和方程式

• 微積分

基本微分和積分技巧

• 幾何

平面幾何、坐標幾何、立體圖形

牛津PAT物理

• 力學

運動學、力、能量、動量

• 波

波的性質、波的現象

• 電和磁

電路、磁場

• 光學

反射、折射、透鏡

• 核物理

核物理的基本概念

• 天體物理

月相、日食、太陽系

ESAT+PAT完整套裝

這個模組包含了ESAT和PAT全部的數學和物理主題。

• 數學

統計、代數、三角學、函數、微積分、幾何

• 物理

力學、物質、熱物理學、波、電和磁、核物理、天體物理學