FURTHER MATHEMATICS YEAR 12

FIRST-TERM SCHEME

WEEK 1                                 REVISION

WEEK 2                                 INEQUALITIES IN ONE OR TWO VARIABLES

• Quadratic Inequality
• Inequalities in Two Variables
• Other Inequalities in Two Variables
• Absolute Value inequalities
• Summary

WEEK 3 & 4                         MATRICES AND DETERMINANTS (2×2, 3×3):

• Basic Concept
• Addition and Subtraction of Matrices
• Multiplication of Matrices
• Transposition and Special Matrices
• Summary

WEEK 5 & 6                         DETERMINANTS

• Determinants of an order of two
• Third Order Determinants
• Simultaneous Equations
• The Adjoint Matrix
• The Inverse of a Square Matrix
• Matrix Method for Solving Simultaneous Linear Equations
• Summary

CONTINUOUS ASSESSMENT

WEEK 7                                 HALF TERM

WEEK 8 & 9                                         PARTIAL FRACTIONS:

• Partial and compound Fractions
• Splitting Fractions
• Types of Partial Fractions
• Non-repeated Linear Factors at the Denominator
• Other Non-Repeated Factors at the Denominators
• Repeated Factors at the Denominator
• Improper Fractions
• Summary

WEEK 10                              Friction

• Basic Concept
• Characteristics of Frictional Forces
• Coefficient of Limiting Friction
• Forces Acting on a Body placed on a Rough Inclined Plane
• Summary

WEEK 11                              REVISION

WEEK 12                              EXAMINATION

WEEK 13                              CLOSING