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.
1. 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
2. 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.
3. Introduction to Matrices :
Order of matrix, transpose of matrix, addition , subtraction and scalar Multiplication of matrix, determinants.
4. Trigonometry
Unit circle and Basic Trigonometric Functions; Trigonometric identities; Graphs of Sine and Cosine Functions; Addition and Subtraction formula, The Laws of Sines and Cosines, Application in real life problems
5. Basic Concepts on Statistics and Probability
Introduction to statistics: Terms, Tables and charts.
Measures on Central Tendency (Mean, Median & Mode);Measures on dispersion( Variance and Standard Deviation) Application in real life problems.
Introduction to Probability, Application in real life problems.
- Teacher: Rusul Isam Mahdi