# 翰林学院IGCSE Pure Math数学辅导

### 翰林学院IGCSE Pure Math数学辅导计划

 Topic Subtopics Hours* Homework 1. Set language & notation 2. Functions One-to-one functions Many-to-one functions Transformation of graphs Modulus function Relationship of a function and its inverse 3. Quadratic functions Graph Roots Intersections of a line and a curve 4. Indices & surds 5. Factors of polynomials Factor Theorem Remainder Theorem 6. Simultaneous equations 7. Logarithmic & exponential functions Rules Graphs 8. Straight line graphs Equation Gradients 9. Circular measure Radian measure Arc length Area of a sector 10. Trigonometry Trigonometric ratios Trigonometric identities Sketching trigonometric graphs 11. Permutations & combinations Factorial Permutations Combinations 12. Binomial expansions 13. Vectors in 2 dimensions 14. Matrices 15. Differentiation & integration Differentiation Stationary point Derivative Chain rule Product rule Quotient rule Related rates of change Integration Definite integral Integrating by parts Area under the graph Volume under the graph Displacement, velocity, acceleration Total

*计划课时仅供学霸级学员参考，实际用时依学员具体情况会有调整。
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## IGCSE Pure Math数学相关国际竞赛

AMC10

American Mathematical Competition 10，10年级及以下学生参加，前2.5%可以晋级AIME

AMC12

American Mathematical Competition 12，适合12年级及以下学生参加，全球前5%可以晋级AIME

AIME

American Invitational Mathematics Examination, AMC10和AMC12优胜者参加的数学邀请赛

HiMCM

High School Mathematical Contest in Modeling，美国高中生数模竞赛，历史悠久，每年超千支队伍，Outstanding特等奖不足1%

Euclid数学竞赛

Euclid Mathematics Contest,滑铁卢大学欧几里德数学竞赛，参赛对象12年级学生

Yau Science Awards (Mathematics),每年一届，研究报告的形式参赛。旨在发现有前途的全球华人年轻科学天才。

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