Module Code: H6IMBC
Long Title Introduction to Mathematics for Business & Computing
Title Introduction to Mathematics for Business & Computing
Module Level: LEVEL 6
EQF Level: 5
EHEA Level: Short Cycle
Credits: 5
Module Coordinator: PRAMOD PATHAK
Module Author: MICHAEL BRADFORD
Departments: School of Computing
Specifications of the qualifications and experience required of staff  
Learning Outcomes
On successful completion of this module the learner will be able to:
# Learning Outcome Description
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.
Dependencies
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
Co-requisite Modules
No Co-requisite modules listed
Entry requirements  
 

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%

Assessments

Full Time

Coursework
Assessment Type: Continuous Assessment (0200) % of total: 50
Assessment Date: n/a Outcome addressed: 1,2,3,4,5
Non-Marked: No
Assessment Description:
Continuous assessment via project work, homework assignments, and in-class quizzes throughout the semester
End of Module Assessment
Assessment Type: Terminal Exam % of total: 50
Assessment Date: End-of-Semester Outcome addressed: 3,4,5
Non-Marked: No
Assessment Description:
End-of-Semester Final Examination
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.

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

 

Module Workload

Module Target Workload Hours 0 Hours
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 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 Weekly Contact Hours 3.00
 

Module Resources

Recommended Book Resources
  • David Makinson. (2012), Sets, Logic and Maths for Computing, 2nd. Springer, p.304, [ISBN: 1447124995].
  • John Schiller, R. Alu Srinivasan, Murray Spiegel. (2012), Schaum's Outline of Probability and Statistics, 4th Edition, 4th. McGraw-Hill, p.432, [ISBN: 007179557X].
Supplementary Book Resources
  • Peter Grossman. (2008), Discrete mathematics for computing, 3rd. Basingstoke [England] ; Palgrave Macmillan, 2009., [ISBN: 0230216110].
This module does not have any article/paper resources
This module does not have any other resources
Discussion Note: