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- MATH1003
- Quantitative Analysis

- MATH1003
- Quantitative Analysis

- Credits (ECTS): 10

- Accounting and Finance

- Available on Programme(s): DT366

Modules are delivered

as part of a programme.

To apply for the

programme,

see the DIT website

## Overview

This is an introductory module in Quantitative Analysis .This is a core module for first year students taking a level 8 degree program. The module includes both statistical and mathematical topics

Indicative SyllabusData presentation

Tabulation. Bar charts, Pie charts, time-series graphs, Z charts, Histograms, frequency polygons, Ogives, Lorenz curves

Summary statistics

Measures of Central Tendency: Arithmetic, Geometric and Harmonic Means, Mode, Median and other quantiles.

Measures of Dispersion: standard deviation, mean and quartile deviations. Coefficient of Variation. Skewness.

Pearson's coefficient of skewness.

Probability

Basic Probability. Mutually exclusive events, independent events, conditional probability, the additive and multiplicative laws of probability. Bayes' Rule.

Probability Distributions. Discrete and continuous distributions. The expected value, variance and standard deviation of a probability distribution. The Binomial, Poisson and Normal Distributions.

Statistical inference

Methods of sampling and sampling design. The central limit theorem, standard error, sampling distribution, point estimates, confidence intervals and their application to sampling. Small samples and the Students' t Distribution.

Hypothesis testing for sample mean and proportion, testing for difference between two sample means and proportions. Chi square test.

Regression and correlation

Bivariate distributions, scatter diagrams, regression line, least squares regression line. Calculation and interpretation of Pearson's correlation coefficient and the coefficient of determination. Spearman's Rank Correlation coefficient.

Interpolation, Extrapolation and Forecasting.

Time-series analysis

Additive and Multiplicative models.

Finding trend by method of moving averages.

Seasonal variation and deseasonalisation of data. Residual variation.Forecasting.

Financial arithmetic

Arithmetic and Geometric Progressions. Simple and Compound Interest. Continuous compounding using the exponential function. Depreciation. Nominal and Effective interest rates.

Discounting,PresentValue, Annuities, Sinking Funds and Loan Repayments.

Net Present Value and Internal Rate of Return. Investment Appraisal

Index numbers

Simple and Weighted index numbers

Laspeyres and Paasche index numbers

Consumer Price Index.

Deflation. Change of base.

Calculus

Functions and their graphs. Slope of the curve, first and second-order derivatives.

Optimisation. Applications to business: Marginal revenue and marginal cost, maximisation of profit and of revenue, minimisation of costs.

Please note that the catalogue is provided as a guide to modules in DIT. Not all modules listed will necessarily be offered every year and new modules may also be added. Information subject to change. For detail on specific programmes/modules please contact the relevant School directly.