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

%

Coursework

50.00%

End of Module Assessment

50.00%

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