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MTH001 : Elementary Mathematics

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Course Info

Course Category

Mathematics

Course Level

Undergraduate

Credit Hours

2

Pre-requisites

N/A

Instructor

Dr. Zahir Fikri, Dr. Shoaib-ud- Din, Ms Saleha Naghmi
Ph.D, Electric Power Engineering
Royal Institute of Technology, Stockholm, Sweden

Course Contents

Logic , Truth Table , Logic Equivalence, Laws of the Algebra of Propositions, Translating Word Statements to Symbolic Notation & Vice Versa, Bi-Conditional Statements and their Equivalence, Arguments, Valid and In Valid arguments, Sets, Venn Diagram and Membership Table , Operations on sets, Venn Diagrams for operations on sets , Ordered Pairs, Relations and Matrix Representation of a matrix, Types of relations and Directed graph, Irreflexive and antisymmetric relations and partially ordered relations, Functions, Domain Codomain and Range, Types of function, Sequence, Arithmetic and Geometric Sequence, Series ,Sum of Arithmetic and Geometric Series, Performing basic arithmetic operations using Microsoft Excel, Basic calculations of percentages and investments using Microsoft Excel , Discount, Simple and compound interest, Average due date, Annuity, Accumulated value, Accumulation Factor, Discount Factor, Discounted value, Matrix, its Dimension and Types of matrix, Operations on Matrices, Merchandising, Introduction to Statistics, Data Representation, The Central Tendency of a data-set, Median, Empirical Relation, Quartiles, Geometric mean, Harmonic mean & relationship between them, Measures of Dispersion, Mean Deviation, Standard Deviation and Variance & Coefficient of variation, Permutations, Combinations, Definitions of Probability, Relative Frequency, Axiomatic Definition & Laws of Probability, Independent and Dependent Events, Multiplication Theorem & Marginal Probability.