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STUDY WITH US

MODULE AIMS

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

MODULE CONTENT

Functions and Graph

Algebra of functions and compositions; One-one functions and their inverses Solving quadratic equations by Factorizing, quadratic formula, graph; Complex roots of quadratic equation; Vertex, axis of symmetry, intercepts and graph of quadratic functions; Modelling with quadratic functions, Application in real-life problems.

LOGARITHMIC AND EXPONENTIAL FUNCTIONS​

Laws of logarithm, Solving logarithmic and exponential equations; Relation between exponential and logarithmic functions; Graph of exponential and logarithmic Functions;  Modelling with Exponential Function, Application in real life problems.

INTRODUCTION TO MATRICES

order of matrix, transpose of matrix, inverse matrix, addition Multiplication of matrix, determinants.

TRIGONOMETRY​

Unit circle and Basic Trigonometric Functions; Trigonometric identities; Graphs of Sine and Cosine Functions; The Laws of Sines and Cosines, Application in real life problems.

BASIC CONCEPTS ON STATISTICS

  • ​Introduction to statistics:

Terms, Tables and charts, Measures on Central Tendency (Mean, Median & Mode);Application in real life problems

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BASIC CONCEPT OF PROBABILITY​

Introduction to Probability, Tree diagram, Permutation and combinations , Application in real life problems.

LEARNING OUTCOMES

  1. Demonstrate  an understanding of functions and its graphs.

  2. Solve quadratic equations .

  3. Applying exponential and logarithmic functions.

  4. Demonstrate an understanding of matrices, order of matrix and operations of matrices.

  5. Use analytically the trigonometric circular functions, identities and Laws of Sin and Cos

  6. Demonstrate  the basic concepts of statistics, probability

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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