Module Title:  Quantitative Techniques 
Teaching & Learning Strategies: 
Studentcentred lectures fostering individual and collaborative engagement with problemsolving exercises and classroom activities, inclass demonstrations, blended learning (integrated mathcasts, software screencasts, applets, spreadsheets, ebooks and other learning resources), independent learning
Examples of real data and statistics used to develop students' critical thinking, ability to deal with uncertainty and international perspectives (e.g. by exploring issues related to economic, social justice, â€¦)
Initial development of enquiry skills with integrated emphasis on IT skills.

Module Aim: 
The aim of this module is to develop studentsâ€™ mathematical and statistical reasoning and skills. Students will be introduced to the areas of investment mathematics, mathematical modelling, probability, descriptive statistics, regression and forecasting, confidence intervals and other statistical topics. The module's emphasis on both conceptual and practical will assist students to use mathematical and statistical thinking and techniques to enquire using data, solve problems and make better business decisions. 
Learning Outcomes 
On successful completion of this module the learner should be able to: 
LO1 
Solve wellformed problems by identifying variables, selecting the appropriate formula, applying appropriate mathematical techniques and presenting the answer in a business context 
LO2 
Describe basic concepts in probability, statistics, sampling and inference 
LO3 
Apply statistical skills and thinking to explore data numerically and graphically 
LO4 
In business scenarios, compute and interpret statistics and probabilities 
Prerequisite learning 
Module Recommendations
This is prior learning (or a practical skill) that is recommended before enrolment in this module.

6600 
BUSS H1305 
Quantitative Techniques 
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module. 
No incompatible modules listed 
Corequisite Modules

No Corequisite modules listed 
Requirements
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed. 
No requirements listed 
Module Content & Assessment
Indicative Content 
Introduction to Quantitative Techniques (5%)
Use an electronic calculator; Undertake basic arithmetic operations; Rearrange equations; Work with decimals and percentages; Calculate and interpret absolute and relative change

Investment Mathematics (20%)
Calculate compound interest; Evaluate investments using Net Present Value and Internal Rate of Return approaches; Calculate payments and lump sums for sinking funds, annuities and loans; Depreciate an asset using the straight line and reducing balance methods; Appreciate the role of information technology in investment mathematics

Introduction to Statistics, Surveys and Samples (15%)
Describe statistics and data analysis; Appreciate the importance of statistical reasoning in business and everyday life; Interpret critically numbers and statistics: draw warranted conclusions and spot flaws in arguments based on numbers and statistics; Appreciate the statistical investigative cycle and describe the PCAI framework; Distinguish between categorical (nominal, ordinal) and numerical (discrete, continuous) data, and between primary and secondary data; Tabulate data and interpret tables; Draw conclusions from tables, including Simpson's Paradox; Interpret different types of charts and graphs; Explain the terms population, sample and inference; Distinguish between and describe random and nonrandom sampling methods; Design a questionnaire; Distinguish between different types of questions and data; Outline the procedure to follow in conducting a sample survey; Describe experiments and observational studies; Appreciate ethical issues; Appreciate the role of information technology in collecting data

Averages and Dispersion (10%)
Recognise and explain variability; Calculate and interpret the mean, mode and median; Calculate and interpret quartiles; Calculate and interpret the range and interquartile range; Calculate and interpret the variance and standard deviation; Interpret the shape of histograms, ogives and boxplots; Interpret output from spreadsheet and statistical software

Topics in Statistics (20%)
Linear correlation and regression: draw and interpret scatter diagrams, calculate and interpret the coefficient of linear correlation, the coefficient of determination and the line of linear regression, make and interpret predications using the line of linear regression, calculate and interpret correlation coefficient for ranked data; Time series: identify the factors which affect a time series, calculate a moving average trend and seasonal variation, and forecast future values; Index numbers: calculate price and quantity indices, change the base period of an index, adjust prices using an index, describe important business indices; Interpret output from spreadsheet and statistical software

Probability, Normal Distribution and Confidence Intervals (20%)
Recognise and explain randomness; Use the addition and multiplication laws of probability; Interpret contingency tables; Calculate conditional probability; Calculate expected values; Describe a Normal distribution, calculate Z scores and find areas above, below or between given values, and determine Z scores from given probabilities; Describe the sampling distribution; Calculate confidence intervals; Determine a sample size for a given margin of error

Mathematical Modelling and Differentiation (10%)
Describe mathematical models and functions; Differentiate simple functions; Find maximum and minimum points for functions using differentiation; Create simple business models using functions; Differentiate simple business models to find maximum revenue and profit and minimum cost; Appreciate the role of information technology in graphing and manipulating functions and models

Assessment Breakdown  % 
Continuous Assessment  40.00% 
End of Module Formal Examination  60.00% 
Continuous Assessment 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Assessment Date 
Examination 
Inclass test 
1 
7.50 
Week 8 
Examination 
Inclass test 
1,2 
7.50 
Week 14 
Written Report 
Assignment: Survey Project 
3,4 
15.00 
Week 25 
Other 
Online quizzes (5 throughout academic year) 
1,2,3,4 
10.00 
n/a 
End of Module Formal Examination 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Assessment Date 
Formal Exam 
Final Examination 
1,2,3,4 
60.00 
EndofSemester 
ITCarlow reserves the right to alter the nature and timings of assessment
Module Workload
Workload: Full Time 
Workload Type 
Frequency 
Average Weekly Learner Workload 
Lecture 
Every Week 
3.00 
Independent Learning 
Every Week 
4.00 
Total Hours 
7.00 
Workload: Part Time 
Workload Type 
Frequency 
Average Weekly Learner Workload 
Lecture 
Every Week 
1.50 
Independent Learning Time 
Every Week 
5.50 
Total Hours 
7.00 
Module Delivered In
