FURTHER MATHEMATICS YEAR 11

FIRST-WEEK 1 REVISION
WEEK 2 & 3 ALGEBRAIC EQUATIONS
- Quadratic Trinomial
- Factorization of Quadratic Trinomials
- Quadratic Equation
- Method of Completing the Square
- The Quadratic Formula
- Sum and Product of Root of a Quadratic Equation
- Symmetric Properties of Roots
- The Graph of y = ax2 + bx + c
- Maximum and Minimum Values
- Simultaneous Equations (One linear One Quadratic)
- Summary.
WEEK 4 & 5 POLYNOMIALS
- Definition
- Addition and Subtraction of Polynomials
- Multiplication of Polynomials
- Division of Polynomials
- Zeros of Polynomials
- The Remainder Theorem
- Graphs of Polynomials
- Roots of Cubic Equations
- Summary
WEEK 6 Prepositional Logic
- Intelligent System
- Propositions
- Compound Propositions
- Truth Table
- Bi-conditional Propositions
- Negation of Compound Proposition
CONTINUOUS ASSESSMENT
WEEK 7 HALF TERM
WEEK 8 Prepositional Logic (cont’d)
- Negation of Conditional Proposition
- Negation of Bi-conditional Proposition
- Tautologies and Contradictions
- Arguments
- Laws of the Algebra of Propositions
- Summary
WEEK 9 Permutation and Combination
- Permutation
- Cyclic Permutation
- Permutation Involving
- Indistinguishable Objects
- Conditional Permutation
- Combination
- Summary
WEEK 10 The Binomial Theorem
- Pascal Triangle
- The Binomial Expansion formula
- Summary
WEEK 11 REVISION
WEEK 12 EXAMINATION
WEEK 13 CLOSING
SECOND TERM SCHEME OF WORK
WEEK 1: REVISION
WEEK 2 & 3: PROBABILITY
WEEK 4 & 5: TRIGONOMETRY FUNCTIONS
WEEK 6: EQUATIONS OF MOTIONS
WEEK 7: THE CIRCLE
WEEK 8: NEWTON LAWS AND CONSEQUENCE