Introduction to Mathematics and Statistics For Students of Pharmacy, Pharmaceutical Sciences and Medicinal Chemistry

Simple arithmetic processes (including BODMAS)

Basic numeracy

Pharmaceutical examples

Chapter Two: Algebra

Rules of addition, subtraction, multiplication and division of algebraic equations

Rearranging equations

Indices

Series

Chapter Three: Logarithms

Introduction to logarithmic notation

Logarithms to the base 10 (including calculations)

Logarithms to the base e (including calculations)

Logarithms to the base x (including calculations)

Converting logarithms from one base to another

Pharmaceutical examples of the use of logarithms (e.g. rates of reactions, pharmacokinetics)

Chapter Four: Trigonometry

Introduction to trigonometry

Simple trigonometric functions

Radians

Important trigonometric identities

Pharmaceutical examples of the use of trigonometry (e.g. tabletting (angle of repose), rheology, pharmaceutical materials science)

Chapter Five: Differential calculus

Introduction to calculus

Simple differentiation (including trigonometric functions)

Differential calculus methods

Choice of differential calculus methods

Pharmaceutical examples of the use of differential calculus (e.g. pharmacokinetics, drug delivery, pharmaceutical engineering)

Chapter Six: Integration

Simple integration (including trigonometric functions)

Integration methods

Choice of integration methods

Pharmaceutical examples of the use of integration (e.g. pharmacokinetics, drug delivery, pharmaceutical engineering, statistics)

Chapter Seven: Describing Data

Introduction to statistics and the need for data measurement and correct reporting

Defining types of data

Measures of central tendency (mean, mode, median)

Measures of variation (variance, standard deviation, standard error of the mean, range, interquartile range)

Box plots

Relative risk and Odds ratios

Chapter Eight: Graphical Presentation of data

Types of graphs (bar, histogram, scatterplots, box plots etc)

Development of a rationale for the use of the different types of graphs

Examples of graphical presentation of pharmaceutical data (including the rights and wrongs)

Chapter Nine: Introduction to Probability and Probability distributions

Background to probability

Basic probability theory

Bernoulli trials

Binomial distributions

Standard normal distribution

Students’ t distribution

Χ2 distribution

F distribution

Geometric distribution

Poisson distribution

Examples of calculation of probabilities using the above distributions

Chapter Ten: Confidence Intervals

Introduction to confidence intervals

Interpretation of confidence intervals

Calculation of confidence intervals associated with the standard normal distribution

Calculation of confidence intervals associated with the t distribution

Calculation of confidence intervals associated with the relative risk and Odds ratio

Chapter Eleven: Introduction to inferential statistical tests

Introduction

Defining the statistical model (null hypothesis, alternative hypothesis, type 1 error, number of tails)

Use of one sample tests

One sample z test

One sample t test

One sample Χ2 test