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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
Quiz No. 1
7 More about Sets.
8 More about Sets
9 Relations on Sets
10 Relations on Sets.
Quiz No. 2
11 Relations and Functions.
12 Functions
13 Sequences
14 Series
Quiz No. 3
15 Applications of Basic Mathematics.
16 Applications: Basic Mathematics
Mid Semester Examination
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
Quiz No. 4
24 The Central Tendency of a data-set
25 Median, Empirical Relation, Quartiles
26 Geometric mean, Harmonic mean & relationship between them
Quiz No. 5
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
Final Semester Examination