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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

TopicLectureResourcePage
Introduction1Handouts3-7
Truth Tables2Handouts8-10
Laws of Logic3Handouts11-16
Biconditional operator4Handouts17-20
Arguments5Handouts21-22
ASSIGNMENT No. 1
Sets6,7Handouts23-36
Relation8,9,10Handouts37-58
GDB No. 1
Functions11,12Handouts59-79
Sequences13Handouts80-84
Series14Handouts86-92
Quiz No. 1
Applications of Basic Mathematics15,16Handouts93-110
MID TERM EXAM
Simple and copmpound interest, annuity17,18Handouts111-127
Matrices19Handouts128-130
Operation on Matrices20Handouts131-136
Ratios and Proportions21Handouts137-141
ASSIGNMENT No. 2
Introduction to Statistics22Handouts142-147
Data Representation23Handouts148-156
The Central Tendency of a data-set24Handouts157-169
Median, Empirical Relation, Quartiles25Handouts170-179
Geometric mean, Harmonic mean & relationship between them26Handouts180-186
GDB No. 2
Measures of Dispersion27Handouts187-193
Mean Deviation, Standard Deviation and Variance & Coefficient of variation28Handouts194-202
Permutations, Combinations29Handouts203-210
Quiz No. 2
Definitions of Probability30Handouts211-214
Relative Frequency, Axiomatic Definition & Laws of Probability31Handouts215-220
Independent and Dependent Events, Multiplication Theorem & Marginal Probability32Handouts221-226
FINAL TERM EXAM
 
 
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