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 dataset, 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 midrange 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

4

Biconditional operator.

11

Relations and Functions.

15

Applications of Basic Mathematics.

16

Applications: Basic Mathematics

17

Applications of Basic Mathematics

18

Applications :Basic Mathematic

21

Ratios and Proportions

22

Introduction to Statistics

24

The Central Tendency of a dataset

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



