# Virtual University of Pakistan

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## MTH001 : Elementary Mathematics

### Course Overview

#### Course Synopsis

The following topics are the focus of this course Laws of Logic, Sets, Relations and Functions, Sequences, Series, Matrices, Introduction to Statistics, Data Representation, The Central Tendency of a data-set, Measures of Dispersion, Probability Theory

#### Course Learning Outcomes

At the end of the course, you should be able to :

• Write the converse, contra positive and negation of a statement.
• Determine whether a relation is reflexive, symmetric or transitive.
• Define sets and operations on sets.
• Write relations and their properties
• Define functions
• Apply techniques learned in algebra combined with basic concepts of statistics including collecting data, displaying data.
• Find the mean, median, mode and mid-range of a set of data and compute variance and standard deviation.
• Find measures of variation.
• Calculate elementary probabilities.
• Apply the rules of probability in context and compute expected values

#### Course Calendar

 1 Introduction
 2 Truth Tables
 3 Laws of Logic
 4 Biconditional operator.
 5 Arguments.
 6 Sets
 9 Relations on Sets
 10 Relations on Sets.
 11 Relations and Functions.
 12 Functions
 13 Sequences
 14 Series
 15 Applications of Basic Mathematics.
 16 Applications: Basic Mathematics
 17 Applications of Basic Mathematics
 18 Applications :Basic Mathematic
 19 Matrices
 20 Operation on Matrices
 21 Ratios and Proportions
 22 Introduction to Statistics
 23 Data Representation
 24 The Central Tendency of a data-set
 25 Median, Empirical Relation, Quartiles
 26 Geometric mean, Harmonic mean & relationship between them
 27 Measures of Dispersion
 28 Mean Deviation, Standard Deviation and Variance & Coefficient of variation
 29 Permutations, Combinations
 30 Definitions of Probability
 31 Relative Frequency, Axiomatic Definition & Laws of Probability
 32 Independent and Dependent Events, Multiplication Theorem & Marginal Probability