Further Mathematics SSS3 First Term

Course Timeline:
Students should be able to: 1. The basic definition 2. To resolve rational functions into partial fractions
Students should be able to: 1. See integration as reverse process of differentiation 2. Integrate algebraic polynomial 3. Integrate logarithmic functions
Students should be able to: 1. See integration as reverse process of differentiation 2. Integrate algebraic polynomial 3. Integrate logarithmic functions
Students should be able to: 1. Associate the area under a curve with an integral 2. Calculate the area under a curve using the definite integral 3. Apply integration to solve problems relating to displacement, velocity and acceleration 4. Find volumes of solids of revolution using integration.
Students should be able to: 1. Perform transformations using the appropriate matrices of transformation 2. Evaluate determinants
Students should be able to: 1. Solve simultaneous equations using matrices
Students should be able to: 1. Recognize the two-dimensional equations of parabola, ellipse and hyperbola 2. Recognize parametric equations
Students should be able to: 1. Calculate the rank correlation coefficient of two distributions. 2. Illustrate data on a scatter diagram. 3. Rank a given distribution.
Students should be able to: 1. Use binomial expansion to solve simple problems. 2. Use the Poisson distribution to solve simple problems. 3. Identify the properties of a normal distribution curve.
Students should be able to: 1. Define the mean of different probability distributions. 2. Define the variance of different probability distributions. 3. Define the coefficient of variance of different probability distributions.
Students should be able to: 1. Solve quadratic inequalities 2. Solve inequalities in two dimensions.

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