# Department of Mathematics

## The University of Medicine, Magway

CONTENTS

Preface

1 .        MATHEMATICAL  LOGIC

Statement  and  Truth  Values

Conditional  Statement

Open  Statements

Quantified  Statements

Equivalence

Validity  of  an  Argument

2 .        PROBABILITY

Method  of  Counting

Permutation

Combination

Conditional Probability

3 .        CALCULUS

Derivative

Integration

Area Under  the  Curves

First Order Differential  Equation

( a ) variable  Separable

( b ) first Order Linear  Equation

4 .        STATISTICS

Statistics

-Mean, Median , Mode , Mean  deviation ,

Standard  deviation , Quartile , Docile ,

Percentile , Frequency  Polygon  and  Histogram,

Cumulative Ogive

5 .        PROBABILITY  DISTRIBUTION

Discrete  Probability  Distribution

Continuous  Probability  Distribution

Binomial  Distribution

Poisson  Distribution

Normal  Distribution

Confidence  Interval  on  Normal  Distributed

Course  Outline

Mathematical  Logic

Statements , Logical  composites  and  their  truth  values

Logical  Equivalence , Validity  of  the  argument

Quantifiers .

Probability

Core (Must  Know )

Permutation, Combination

Conditional Probability Independent  and Dependent  events

Integral  Calculus

Core (Must  Know )

Integration   formula  ,  Properties of integral

method of Substitution ,  Integration  by  parts

Area under  the curve

Variable  Separable and  linear  first  order  differential  equation

Statistics

Quartiles, percentiles ,

Inter quartile   range .

The mean deviation from the mean standard deviation The variance   Standard deviation  data in the from of a Frequency distribution

Probability  Distribution

Discrete and  Continuous Random variables

Probability  density Function

Expectation of x  and f(x)

Variance of  random variable

Cumulative  Distribution function

Expectation and variance  of two independent  random variables   Distribution

Binomial and  Normal  Distribution