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MODULE AIMS

The aim of this module is to equip the students understanding of basic mathematics necessary to meet the cognitive and practical requirements of higher education programmes.

MODULE CONTENT

ARITHMETIC

Set of real numbers and its subsets:

Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers.

Arithmetic properties and four basic arithmetic operations:

Closure Property, Commutative Property, Associative Property, Distributive Property, BODMAS, Operations on Fractions, Decimal Numbers, Percentages and Ratios, Exponent Laws, Operations with Radicals, Rationalizing Numerators and Denominators.

ALGEBRA

Polynomials:

Algebraic Expressions, Rational Expressions, Operations on Polynomials.

Linear equations:

Solving of linear equations, Graphing and three types of symmetry of an equation, Solving inequalities, Real life problems.

MEASUREMENT AND UNIT CONVERSIONS

Unit Conversion of Length, Area and Volume, Real life problems.

CO-ORDINATE GEOMETRY

Distance between two points. Equation of a line - parallel and perpendicular and tangent lines. Equation of a circle.

TRIGONOMETRY

Types of angles and triangle, Types of measures of angles and their conversions, Length of an arc and area of a sector. Trigonometry of Right angle triangles.

Trigonometric identities:

Pythagorean Identities Angle of elevation and depression, Real life problems.

LEARNING OUTCOMES

Demonstrate an understanding of real numbers and its relation with its subsets, fractions, ratios, decimals, percentages, exponents, radicals and algebraic expressions and simplify rational expressions and rationalize numerators or denominators.
Solve linear equations, equations involving radicals, fractional expressions ,inequalities and the three types of symmetry of equation to sketch it’s graph
Solve operations on polynomials and manipulate numerical and polynomial expressions, first degree and to use the quadratic formula to find roots of a second-degree polynomial.
Demonstrate an understanding of measurement and unit conversions.
Use coordinate plane to solve and algebraic problems and understand geometric concepts such as equation of circle, perpendicular, parallel and tangent lines .
Solve trigonometry of right angled triangle in various problems.

ASSESSMENT METHODS

The method of assessment for this module has been designed to test all the learning outcomes. Students must demonstrate successful achievement of these learning outcomes to pass the module.

MODULE PASS REQUIREMENTS

To pass this module, students must achieve an overall grade of at least 50% and a score of at least 50% in each component. The final mark is the weighted average of the individual assessment.
Student must take all assessments, and if missed, they must submit a reasonable excuse within 2 days of reporting back.

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