Long Title:Introduction to Mathematics for Business & Computing
Language of Instruction:English
Module Code:H6IMBC
Credits: 5
NFQ Level:LEVEL 6
Field of Study: Mathematics and statistics not further defined or elsewhere classified
Module Delivered in 6 programme(s)
Module Coordinator: PRAMOD PATHAK
Module editor: MICHAEL BRADFORD
Teaching and Learning Strategy: As part of this module, there will be a cross assessment with the module Problem Solving and Programming Concepts. Students will be provided with a mathematic scenario for which they will have to solve by using code. The student will be provided with the necessary support for this assessment in both classes.
Learning Environment: Learning will take place in a class room/lab environment with IT access. Module materials will be placed on Moodle, the college's virtual learning environment.
Module Description: Develop the learners’ mathematical knowledge and maturity providing a formal perspective with which to approach the analysis and solution of problems in business and computing.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Explain mathematical concepts such as sets and operations.
LO2 Associate the rules of sets and operations to the areas of Relations and Functions.
LO3 Describe the core principles of logic and the foundational role that it plays in mathematics and computer science.
LO4 Apply set theoretical concepts and methods of counting to solve problems involving calculations in probability and statistics.
LO5 Approach and solve problems in the area of computing using the appropriate Mathematical techniques.
Pre-requisite learning
Module Recommendations

This is prior learning (or a practical skill) that is required before enrolment on this module. While the prior learning is expressed as named NCI module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s).
No recommendations listed
Requirements

This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed. You may not enrol on this module if you have not acquired the learning specified in this section.
No requirements listed
 

Module Content & Assessment

Indicative Content
Sets and Operations
• Notation Predicates. • Set Operations Solving • Problems Using Venn Diagrams • Principle of Duality Algebra of Sets • Cardinality & Principle of Inclusion and Exclusion • Cartesian Product
Functions and Relations
• Functions from one set to another. • Partial and Total Functions. • Injections and Surjections. • Composition of Functions. • Binary Relations. • Equivalence Relations. • Partial Orders.
Logic
• Propositions & Logic. • Predicates and Quantifiers. • Truth Tables. • Logic Equations. • Disjunctive Normal Form.
Statistics and Probability
• Principles of counting - permutations and combinations. • Probability. • Probability rules. • Types of Data Frequency distributions. • Grouped and ungrouped data. • Descriptive measures. • Probability. • Distributions. • The Normal Distribution.
Assessment Breakdown%
Coursework50.00%
End of Module Assessment50.00%

Full Time

Coursework
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Continuous Assessment (0200) Continuous assessment via project work, homework assignments, and in-class quizzes throughout the semester 1,2,3,4,5 50.00 n/a
End of Module Assessment
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Terminal Exam End-of-Semester Final Examination 3,4,5 50.00 End-of-Semester
No Workplace Assessment
Reassessment Requirement
Repeat examination
Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.
Reassessment Description
Learners who fail this module will be required to sit a repeat module assessment where all learning outcomes will be examined.

NCIRL reserves the right to alter the nature and timings of assessment

 

Module Workload

Workload: Full Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture No Description 2 Every Week 2.00
Tutorial No Description 1 Every Week 1.00
Independent Learning No Description 7.5 Every Week 7.50
Total Hours 10.50
Total Weekly Learner Workload 10.50
Total Weekly Contact Hours 3.00
Workload: Part Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture No Description 3 Every Week 3.00
Total Hours 3.00
Total Weekly Learner Workload 3.00
Total Weekly Contact Hours 3.00
 

Module Resources

Recommended Book Resources
  • David Makinson 2012, Sets, Logic and Maths for Computing, 2nd Ed., Springer [ISBN: 1447124995]
  • John Schiller, R. Alu Srinivasan, Murray Spiegel 2012, Schaum's Outline of Probability and Statistics, 4th Edition, 4th Ed., McGraw-Hill [ISBN: 007179557X]
Supplementary Book Resources
  • Peter Grossman 2008, Discrete mathematics for computing, 3rd Ed., Basingstoke [England] ; Palgrave Macmillan, 2009. [ISBN: 0230216110]
This module does not have any article/paper resources
This module does not have any other resources
 

Module Delivered in

Programme Code Programme Semester Delivery
BSHTM B.Sc. (Hons) in Technology Management 1 Core Subject
BSHC BSc (Honours) in Computing 1 Core Subject
BSHBIS BSc (Hons) in Business Information Systems 1 Core Subject
CIC Certificate in Computing 1 Core Subject
HCBC Higher Certificate in Science in Business Computing 1 Core Subject
HCC Higher Certificate in Science in Computing Applications and Business Support 1 Core Subject