翰林国际教育IGCSE Pure Math数学辅导

翰林国际教育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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