Further Mathematics Lesson Note for Complete SS2 First, Second and Third Term

Description

SS2 Further Mathematics Scheme of Work for First, Second and Third Term: These lesson notes cover the following topics.

First Term:

WEEK	TOPIC
1	Finding quadratic equation with given sum and product of roots, conditions for equal roots, real roots and no root
2	Tangents and Normals to Curves
3	Polynomials ;definition, basic operations  + , x , – , ;–
4	Polynomials ( Continued) factorization
5	Cubic Equation , roots of cubic equations
6	Review and Test
7	Logical Reasoning ; fundamental issues and definitions and theorem proving
8	Trigonometric Function , six trig functions of angles of any magnitude ( sine, cosine,tangent,secant, cosecant, cotangent)
9	Relationship between graph of trigonometric ratios such as  sin x and sin 2x, graphs of  y= a sin (bx) + c  , y = a cos (bx) + c   ,  y = a tan (bx) + c
10	Graphs of inverse by ratio and equation of simpletrgonometric identities
11	Revision

 

REFERENCES

• Further Mathematics Project 1 by TuttuhAdegun
• Further Mathematics Project 2 by TuttuhAdegun
• Additional Mathematics by Godman

Second Term:

1. Differentiation: Limits of Function and First Principle, Differentiation of Polynomial
2. Differentiation (Continued): Rules of Differentiation
3. Differentiation of Transcendents: Derivative of Trigonometric Functions and Exponential Functions.
4. Application of Differentiation: Rate of Change, Equation of Motion, Maximum and Minimum Points and Values of Functions.
5. Conic Sections: Equation of Circles, General Equation of Circles, Finding Centre and Radius, Equation and Length of Tangents to a Circle.
6. Conic Sections: The Parabola, Hyperbola and Ellipse
7. Review of First Half Term
8. Statistics Probability: Sample Space, Event Space, Combination of Events, Independents and Dependent Events.
9. Permutation and Combination
10. Dynamics: Newton’s Laws of Motion
11. Work, Energy, Power, Impulse and Momentum
12. Revision and Examination.

REFERENCES
Further Mathematics Project 2 and 3.

Third Term:

WEEK	TOPIC
1.	Revision of Second Term Examination Questions.
2.	Projectile: Trajectory of Projectile, Greatest Height Reached, Time of Flight, Range, and Projectile along Inclined Plane.
3.	Binomial Expansion: Pascal  Triangle Binomial Theorem of Negative, Positive and Fractional Power
4.	Mechanics: Vectors in Two and Three Dimension. Scalar Product of Vectors inThree Dimension.
5	Vector or Cross Product on Three Dimension.Application of Cross Product Cross Product of Two Vectors.
6	Review of the Half Term Work.
7.	Integration: Indefinite Integrals Concept, Different Methods of Integration.e.g (Algebraic and Trigonometric Substitution by Parts and Partial Fractions.
8.	Integration Continued: Definite Integral, Area Under Curve.
9.	Integration Continued: Application of Integration to Kinematics Volumes of Solids at Revolution and Trapezium Rule.
10.	Correlation and Regression: Concept, Scatter Diagram, Regression Line, Coefficient of Regression, Rank Correlation and Product Moment Correlation Coefficient.
11.	Revision.

 

REFERENCES

Further Mathematics Project 2 and 3.