INTRODUCTION
This module unit is designed to equip the trainee with the relevant mathematical knowledge, skills, techniques and attitudes necessary to enhance better understanding and application of mathematics in the respective trade.
TOPICS COVERED:
Probability
- Definition of probability
- Laws of probability
- Expectation variance and S.D.
- Types of distributions
- Mean, variance and SD of probability distributions
- Application of probability distributions
Statistics
- Definition of statistics
- Measures of centre tendency
- Measures of dispersion
Sequence and Series
- Sequence and series
- Simple and compound interest
- Arithmetic and geometric progressions
Vectors
- Operation of vectors
- Resolution of vectors into vertical and horizontal components
- Relative velocity
Mensurations
- Units of measurements
- Perimeters, areas, volumes of regular figures and solids
- Area of irregular figures
Integral Calculus
- Definition of integration
- Indefinite and definite integrals
- Methods of integration
- Application of integration
Differential Calculus
- Definition of derivative of a function
- Differentiation from first principle
- Tables of some common derivatives
- Rules of differentiation
- Higher order derivatives
- Definition of partial derivative
- Partial differentiation for function of two variables
- Application of partial differentiation to small changes, stationary points, curve sketching and rates of change
Power Series
- Definition of the term power series
- Taylor’s theorem
- Deduction of Maclaurin’s theorem from Taylor’s theorem
- Use Taylor’s theorem to obtain power series
- Use Maclaurin’s theorem to obtain power series
- Application of Taylor’s theorem and Maclaurin’s theorems in numerical work
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