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Further Mathematics SSS3 First Term

Subject Scheme & Timeline:

Please check through the topics down and be sure it conform with the scheme you are using.

Students should be able to:1. The basic definition2. To resolve rational functions into partial fractions
Students should be able to:1. See integration as reverse process of differentiation2. Integrate algebraic polynomial3. Integrate logarithmic functions
Students should be able to:1. See integration as reverse process of differentiation2. Integrate algebraic polynomial3. Integrate logarithmic functions
Students should be able to:1. Associate the area under a curve with an integral2. Calculate the area under a curve using the definite integral3. Apply integration to solve problems relating to displacement, velocity and acceleration4. Find volumes of solids of revolution using integration.
Students should be able to:1. Perform transformations using the appropriate matrices of transformation2. 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 hyperbola2. 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 inequalities2. Solve inequalities in two dimensions.

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