HOME
Educator & Researcher
SALLI
[ 2021 — 2025 ]
Economics & Mathematics↗
ECON
Teaching / Courses← Home
Economics
A-Level Econ
IB Economics
AP Economics
Mathematics
A-Level Math
Further Math
IB Math
Admissions Tests
TMUA
MAT
A-Level · Edexcel / AQA / OCR
A-Level
Economics
Economics
完整覆盖微观与宏观经济学，配合真题解析与笔记，帮助学生系统掌握考纲要点并冲击高分。
Microeconomics
01
Supply & Demand
价格机制、弹性分析、消费者与生产者剩余
02
Market Structures
完全竞争、垄断、寡头、垄断竞争对比分析
03
Market Failure
外部性、公共品、信息不对称与政府干预
04
Labour Markets
工资决定、工会、最低工资与就业效率
Macroeconomics
05
National Income
GDP 衡量方法、经济增长与商业周期
06
AD / AS Model
总需求总供给框架，Keynesian vs Classical
07
Monetary Policy
利率机制、央行目标、量化宽松
08
Global Trade
比较优势、贸易政策、汇率与国际收支
Notes & Resources
| Topic | Exam Board | Status | Format |
|---|---|---|---|
| Microeconomics Complete Notes | Edexcel A | Available | PDF + Web |
| Macroeconomics Complete Notes | Edexcel A | Available | PDF + Web |
| Essay Writing Frameworks | All Boards | In Progress | |
| Past Paper Walkthroughs | Edexcel / AQA | Coming Soon | Web |
IB Diploma · SL & HL
IB
Economics
Economics
覆盖 IB 四大主题：微观、宏观、国际经济学与发展经济学，HL 附加扩展内容。
Four Themes
01
Microeconomics
需求供给、弹性、市场失灵、政府干预
02
Macroeconomics
GDP、失业、通胀、财政货币政策
03
International Econ
贸易理论、保护主义、汇率制度
04
Development Econ
发展指标、障碍与策略、国际援助
AP · College Board
AP
Economics
Economics
AP Microeconomics 与 AP Macroeconomics 双科备考，对标 5 分目标。
AP Micro
01
Basic Concepts
Scarcity, opportunity cost, PPF, comparative advantage
02
Supply & Demand
Market equilibrium, elasticity, consumer/producer surplus
03
Production & Cost
Short-run vs long-run costs, profit maximisation
04
Market Structures
Perfect competition, monopoly, oligopoly, MR = MC rule
A-Level · Edexcel / AQA / OCR
A-Level
Mathematics
Mathematics
Pure Mathematics、Statistics、Mechanics 三大模块完整笔记，配套历年真题精讲。
Pure Mathematics
01
Algebra & Functions
多项式、有理函数、模函数与变换
02
Calculus
微分、积分、微分方程基础应用
03
Trigonometry
恒等式、反三角函数、加法公式
04
Vectors & Proof
三维向量、直线方程、数学证明方法
A-Level Further · Edexcel
Further
Mathematics
Mathematics
复数、矩阵、级数、双曲函数——针对剑桥/帝国理工申请者的强化训练。
Core Pure
01
Complex Numbers
Argand diagram, de Moivre's theorem, roots of unity
02
Matrices
线性变换、行列式、特征值与特征向量
03
Series
Σ公式、方法差分、Maclaurin 展开
04
Differential Equations
Second-order ODEs, particular integrals
IB · AA & AI · SL & HL
IB
Mathematics
Mathematics
Analysis & Approaches 与 Applications & Interpretation 双轨覆盖。
01
Algebra
Sequences, binomial theorem, proof
02
Functions
Transformations, rational functions, modeling
03
Calculus
Differentiation, integration, kinematics
04
Statistics & Prob
Distributions, hypothesis testing, regression
Cambridge / Imperial Admissions
TMUA
Test of Mathematics for University Admission — 系统备考，Paper 1 & 2 专项训练，目标 6.5+。
01
Paper 1 — Application
Pure math application, problem solving under time pressure
02
Paper 2 — Reasoning
Mathematical reasoning, logic, proof techniques
03
Past Papers
2019–2024 全套真题解析，含时间管理策略
Oxford Admissions
MAT
Mathematics Admissions Test — Oxford 数学/CS 申请必备，长题与选择题双轨训练。
01
Algebra & Calculus
Advanced problem-solving beyond A-Level syllabus
02
Combinatorics
Counting arguments, pigeonhole principle
03
Long Questions
结构化长题写作策略与评分逻辑
Competitions← Home
NEC · TMUA · AMC · MAT
Competition
Prep
Prep
系统性竞赛备考，从题型分析到模拟训练，帮助学生在申请中建立差异化优势。
01
NEC
National Economics Challenge — 美国最具影响力经济学竞赛
02
TMUA
剑桥/IC 入学数学测试，Paper 1 & 2 精讲
03
AMC 10/12
美国数学竞赛，系统刷题路线图与技巧总结
04
MAT
牛津数学/CS 笔试，历年真题精讲
Research← Home
Open Access · Personal Research
Research
Notes
Notes
大学程度的经济学与数学笔记，公开给同行与学生，包含完整证明与 LaTeX 排版。
01
Intermediate Micro
消费者理论、生产者理论、一般均衡、博弈论基础
02
Intermediate Macro
IS-LM、AD-AS、Solow 增长模型、货币理论
03
Real Analysis
序列、连续性、可微性、测度论入门，严格证明导向
04
Industrial Organization
市场结构、定价策略、垂直整合、平台经济学
Notes← Home
Free · Open Access
Notes
Library
Library
所有笔记免费开放，含 PDF 下载与网页版，LaTeX 排版，支持数学公式渲染。
01
A-Level Economics
Edexcel / AQA 完整笔记，微观 + 宏观
02
A-Level Mathematics
Pure / Stats / Mechanics 分章节整理
03
IB Notes
IB Econ + IB Math AA/AI 全套笔记
04
Research Notes
Intermediate Micro/Macro、Real Analysis、IO
Admissions← Home
US · UK · Oxbridge
University
Admissions
Admissions
美本、英本申请案例分享，从选校策略到文书写作，真实案例与经验总结。
01
US Admissions
Common App 策略、文书选题、Ivy League 案例分析
02
UK / UCAS
Personal Statement 写作、Oxford/Cambridge 申请流程
03
Oxbridge Interview
经济学/数学面试真题解析，思维框架训练
04
Success Cases
历届学生录取案例（脱敏），申请时间线与规划
Contact← Home
Get in touch
CONTACT
©2025
01
+
Email
hello@salli.hk
02
+
WeChat
@salli
03
+
GitHub
@salli