f6 pure maths

Teaching Schedule

Subject : Pure Mathematics	Form : 6S
Subject Panel : YWT	Compiled by : CWT
Text book(s) used :
1. Breakthrough Pure Mathematics – Algebra (Vision)
2. Breakthrough Pure Mathematics – Calculus and Coordinaate Geometry (Vision)

Cycle	Topics / Related Outlines	I. T. Resources
	Polynomial and Equations
1	1. Polynomials with real coefficents
	2. Rational function
2	3. Polynomials equation

	The Language of Mathematics
3	1. Set language
	2. Simple Logic

	Function
4	1. Functions and their graphs	Simple Graph (Parametric Function) (Java)
	2. Properties and operations of functions
	3. Special types of functions	The Number e (1) (Java)

	Mathematical Induction
5	1. Principle of M.I. and its application
	2. Other common variations of M.I.

	Inequalities
6	1. Absolute inequalities
	2. A.M. G.M.
7	3. Cauchy-Schwarz's inequality
	4. Conditional inequalities

	1st Term Standardized Test


	Binomial theorem

8	1. Binomial theorem and its application

	2. Simple properties of binomial coef.

	Matrix and Determinant

9	1. Basic operations

	2. Special types of matrix and determinant

10	3. Application of matrix and determinant

	Sequence, Series and their Limits

11	1. Sequence and series

	2. Limit of a sequnce and series

12	3. Convergence of a sequence and series

	1st Term Exam.

	Limit, Continuity and Differentiability

13	1. Limit of a function	The Number e (2) (Java)
	2. Continuity of a function
14	3. Differentiability of a function

	Differentiation

15	1. Fundamental rules of differentiation	Average rate of Change and Derivatives (Java)
	2. Differentiation of various types of
	function
16	3. Higher order derivatives and
	Leibniz’s Theorem
17	4. Rolle’s Theorem and	Roll's Theorem & The Mean Value Theorem (Java)
	Mean Value Theorem	Roll's Theorem & The Mean Value Theorem (Java)

	Application of Differentiation

18	1. L’ Hospital’s Rule	L'Hopital's Rule (IES Java)
	2. Rate of change, maxima and minima
19	3. Curve sketching

	2nd Term Standardized Test

	Integration	integration.gr (Graphmatica)

20	1. Standard integrals
	2. Riemann definition of integration	The Rectangle Approximation Method (Java)
	3. Definite and indefinite integrals
21	4. Method of integration
	5. Fundamental theorem of integral	The Fundamental Theorem of Calculus (Java)
	calculus and its application
22	6. Improper integral

	Application of integration

23	1. Plane area and arc length
	2. Arc Length
24	3. Volume of revolution
	4. Area of surface of revolution
25	5. Limit of sum

26	Revision

	2nd Term Exam.