翰林国际教育Alevel Further Math-M进阶数学M辅导

Category: A-level课程, 国际课程 Date: 2018年1月3日下午9:43

Further Math-M进阶数学-M课程

进阶数学课程属于英国数学的下一阶段课程，数学和高等数学在申请大学时分别考试，并作为两门成绩被全球认可。高等数学考察纯数学、力学和统计学，在向量、矩阵、微积分方程、动静力学、统计模型等方面考察的内容较深，多为国内大学级别的高等数学课程，含金量与认可度很高。高数学习的时间一般是学生A2年级进行，也有极少数数学天赋出类拔萃的少年选择即完成部分或全部高等数学的学习。各大考试局对于A*的定义不完全一致，但通常总分在90%以上为A*。英国名校的理工科、金融类、经济类、心理学类等专业往往对申请者高等数学的学习有相关要求。

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Further Math-M进阶数学-M课本

Further Math-M进阶数学-M真题

翰林国际教育 Further Math-M进阶数学M辅导大纲

Topic	Subtopics	Hours*	Homework
Calculus in mechanics	Acceleration is a Derivative
Calculus in mechanics	Variable Forces
Projectiles	Initial Velocity
	Acceleration
	Final Velocity
	Displacement
	Special Events
Turning effects of forces	Moment of a Force
	Unknown Forces
	Forces in Different Directions
Momentum & impulse	Momentum
	Impulse
	Newton’s Law of Restitution
	Oblique Impacts
Centre of mass	Finding Centre of Mass
	Centre of Mass of Rigid Bodies
	Composite Bodies
	Sliding and Toppling
Circular motion	The Basics
	Conical Pendulum
	Banked Curves
	Circular Motion with Non-Uniform Speed
	Motion in a Vertical Circle
Elasticity	Hooke’s Law
	Modulus of Elasticity
	Scenarios
	Elastic Potential Energy
Oscillatory motion	Simple Harmonic Motion
	Solutions of the Equation
	Velocity
	Period and Frequency
	Motion Approximation
Moment of inertia	Important Definitions and Formulae
	Parallel & Perpendicular Axes Theorems
	Energy in a Rotating Body
Total