# 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

 Topic Lecture Resource Page Introduction 1 Handouts 3-7 Truth Tables 2 Handouts 8-10 Laws of Logic 3 Handouts 11-16 Biconditional operator 4 Handouts 17-20 Arguments 5 Handouts 21-22 ASSIGNMENT No. 1 Marks 10 Sets 6,7 Handouts 23-36 Relation 8,9,10 Handouts 37-58 GDB No. 1 Marks 7 Functions 11,12 Handouts 59-79 Sequences 13 Handouts 80-84 Series 14 Handouts 86-92 Quiz No. 1 Marks 3 Applications of Basic Mathematics 15,16 Handouts 93-110 MID TERM EXAM Simple and copmpound interest, annuity 17,18 Handouts 111-127 Matrices 19 Handouts 128-130 Operation on Matrices 20 Handouts 131-136 Ratios and Proportions 21 Handouts 137-141 ASSIGNMENT No. 2 Marks 10 Introduction to Statistics 22 Handouts 142-147 Data Representation 23 Handouts 148-156 The Central Tendency of a data-set 24 Handouts 157-169 Median, Empirical Relation, Quartiles 25 Handouts 170-179 Geometric mean, Harmonic mean & relationship between them 26 Handouts 180-186 GDB No. 2 Marks 7 Measures of Dispersion 27 Handouts 187-193 Mean Deviation, Standard Deviation and Variance & Coefficient of variation 28 Handouts 194-202 Permutations, Combinations 29 Handouts 203-210 Quiz No. 2 Marks 3 Definitions of Probability 30 Handouts 211-214 Relative Frequency, Axiomatic Definition & Laws of Probability 31 Handouts 215-220 Independent and Dependent Events, Multiplication Theorem & Marginal Probability 32 Handouts 221-226 FINAL TERM EXAM