Below is the SS2 Further Mathematics Scheme of work for First, Second and Third Term.

**FIRST TERM SCHEME**

**WEEK and 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 simple trigonometric identities

**11** Revision

**REFERENCES**

• Further Mathematics Project 1 by TuttuhAdegun

• Further Mathematics Project 2 by TuttuhAdegun

• Additional Mathematics by Godman

**SECOND TERM SCHEME**

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 SCHEME**

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, Coecient of Regression, Rank Correlation and Product Moment Correlation Coeficient.

11. Revision.

**REFERENCES**

Further Mathematics Project 2 and 3.