IGCSE Pure Math数学课本
IGCSE Pure Math数学真题
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。
*翰林学院原创内容，谢绝转载。商务合作请联系小助手linstitute2。
IGCSE Pure Math数学相关国际竞赛
国际课程+国际竞赛更具竞争力
AMC10
每年2月
难 度：
含金量：
American Mathematical Competition 10，10年级及以下学生参加，前2.5%可以晋级AIME
AMC12
每年2月
难 度：
含金量：
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
每年3月
难 度：
含金量：
American Invitational Mathematics Examination, AMC10和AMC12优胜者参加的数学邀请赛
HiMCM
每年10月27日开赛
难 度：
含金量：
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
每年4月12日
难 度：
含金量：
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
如有疑问
欢迎扫码联系下方翰林顾问吴老师
AMC8/AMC10/AMC12/AIME
相关咨询及辅导
欢迎扫码联系下方翰林竞赛顾问晏老师
