描述
报名须知
1、 适合人群:12年级(高二-高三)及以下年级学生。
2、 AMC10/12培训班为3-5人小班,满3人开班。
3、 面授地址:上海人广校区——成都北路500号峻岭广场35层。
注意事项:
- 开课时间:未定
- 学员须知:
- 受不同学校开学时间影响,班课具体开学时间可能会有微调,具体时间以班课学员为主
- 班课时间一经确认不再变更,开课后每课若有超半数学员按时出席,则当天正常上课,如有特殊情况请提前告知协调
- 线上课程:全程互动直播形式,如有需要可以提供课程录播服务
- 线下地址:翰林学院人广校区
- 快速拼班:联系小助手 微信: linstitute2
导师简介
- Yang Zhijiu:上海财大统计金融学博士,2+年AMC授课经验,主授AMC10/12/AIME及HiMCM,AIME学员最高分12分
- Gou Yan:英国格拉斯哥大学应用数学博士,3+年AMC授课经验及知名国际学校竞赛数学组长经历,主授AMC12和AIME
- Mike Yang: 牛津大学数学本科,牛津大学数学硕士,新加坡来福士高中就读期间历获AMC, SMO等各类数学赛事奖项,主授AMC10/12
- David Chen:高中国家数学奥赛保送南开大学数学系,美国特拉华大学应用数学硕士,5年北美大学微积分授课经验,主授AMC8/10。
课程大纲
Algebra
i). Polynomials
Including Fundamental Theorem of Algebra, Euclidean Division, Remainder Theorem, Rational Roots test, Vieta’s Theorem ... and more.
ii). Techniques with variables Including Techniques dealing with sets of equations, fraction of variables, completing of squares, expansion and simplification... and more.
iii). Inequalities Including linear inequalities, quadratic inequalities, modular inequalities, AM -GM ... and more.
Geometry 1
i). Triangles Including the Theorems of areas, Segments, Law of Sines and Cosines, and several centres in Triangles.
ii). Circles Including the Theorems of Angles, Power of a point, and Two classic figures: Fact 5 and Radical Axis.
iii). Transformation and rotation.
Geometry 2
i). Polygons
ii). A very important figure in solid geometry —-Tetrahedron Explain the relations between lines, planes, angles, spheres in 3 dimensional geometry using one model —-Tetrahedron.
iii). Other 3D figures pyramids, cylinders, spheres ... and more. iv). Past paper
Number Theory
i). Terminology and fundamental theorems of Number Theory Basic Divisibility Rules and Analysis with Odd, even numbers.
ii). Prime factorisation LCM and GCD and Number of Divisors.
iii). Modular Arithmetic Basic rules of Modular Arithmetic, Chinese remainder Theorem.
Combinatorics
i). Sets and Vein’s Diagrams.
ii). Permutation and combination
iii). Balls and Urns
Functions.
i). Linear function, quadratic function, hyperbolic function, trigonometric function, exponential function loga-rithmic function
ii). Inverse function and composite function
iii). Complex Number
Comprehensive
i). Series and Sequences
ii). Classic comprehensive problems
Revision