Further Mathematics Lesson Notes for SS3 1st Term

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Senior Secondary School 1 First term Further Mathematics Scheme of work with lesson notes content

 

1. Review of SS2 examination questions. Quadratic inequalities and inequalities in two dimensions.
2. Matrices and Determinants (2×2, 3×3):

• basic definitions
• Matrices as linear transformations.
• determinants
• Solution of 2×3 simultaneous equations.

3. Partial fractions:

• Basic definitions
• Proper and rational functions with denominators as linear functions (distinct and repeated) and others.

4. Integration:

• Understand integration as the reverse of process of differentiation.
• Integration of algebraic polynomials including ¹/x, logarithmic functions
• Definite integrals and application to kinematics, velocity- time and speed-time graph
• Area under the curve, trapezoidal rule, volume of solids of revolution

5. Conic sections

• Equations of parabola, hyperbola, ellipse in rectangular Cartesian coordinates
• Parametric equations

6. Correlation:

• Concept of correlation as measure of relationships
• Scatter diagrams
• Rank correlation
• Tied ranks

7. Mid-term test
8. Probability distributions and approximations

• Binomial distribution
• Poisson distribution
• Normal distribution
• Binomial approximations by Poisson distribution

9. Probability distribution and variance

• Normal approximations by binomial distribution
• Mean
• Variance
• Coefficient of variance of binomial, Poisson and normal.

10. Static forces

• Forces in equilibrium
• Resultant of parallel forces (in the same direction and in opposite direction) acting on a rigid body

11. Revision
12. Examination

SSS3 First Term Further Mathematics Lesson Note – Edudelight Store