Computational Numeracy & Logic

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Parent Programme

Bachelor of Science in Computing (Level 7 NFQ)

NFQ Level & Reference

Level 6 / Ref: 1.2

Duration

12 Weeks X 3 Hours per week

MODULE TITLE

Computational Numeracy & Logic

STAGE

YEAR 1

Module Credit Unit

ECTS: 5

Computational Numeracy & Logic

Introduction to Computational Thinking & Logic

This Computational Numeracy & Logic module will provide learners with a solid foundation in basic numeracy, propositional logic, sets, number sets, sequences and series, data summarisation, and number systems. Learners will develop essential mathematical skills and concepts necessary for success in various fields, particularly in the context of computing.

Indicative Syllabus Content

Computational Thinking & Logic

Basic Numeracy

Arithmetic (& order of) operations
Commutative, associative and distributive laws
Basic algebra, including manipulating variables in equalities and inequalities
Fractions, percentages, ratios
Rounding, modulo arithmetic, absolute value
Indices, logarithms
Scientific notation

Propositional Logic

Propositions
Boolean constants (TRUE, FALSE) and operators (AND, OR, NOT)
Logical equivalence, truth tables
Logic gates

Sets

Set operations (intersection, union, difference, complement)
Elements of a set, subsets, supersets, cardinality
Venn/Euler diagrams
Power set, cartesian product

Number Sets

Naturals, Integers, Rationals, Reals
Expressing sets of numbers: on the number line, in interval notation, in inequality notation, and in set/set-builder notation

Sequences and Series

Subscript notation for sequences
Summation operator
Arithmetic sequences, arithmetic series
Geometric sequences, geometric series (including infinite)

Data summarisation

Notion of a dataset
Measures of centrality: mode, median, mean
Measures of spread: range, interquartile range, standard deviation
Minimum, maximum
Measures of centrality & spread for grouped data (grouped frequency table)

Number Systems

Binary, octal and hexadecimal number notation
Converting between decimal, binary, octal and hexadecimal numbers
Adding, subtracting, multiplying and dividing binary, octal and hexadecimal numbers

Minimum Intended Learning Outcomes (MIMLOs)

Upon successful completion of this module, the learner should be able to:

MIMLO1

Demonstrate proficiency in fundamental numerical concepts.

MIMLO2

Construct logical constructions such as truth tables.

MIMLO3

Illustrate sets in various forms.

MIMLO4

Summarize data in the form of aggregated numbers.

MIMLO5

Convert between decimal, binary, octal and hexadecimal numbers.

Assessment

MIMLOs

Assessment

Percentage

1, 2, 3, 4, 5

Continuous Assessment. / 3 In-Class written Tests

Total 100% all assessments

Reassessment Opportunity

Where the combined marks of the assessment and examination do not reach the pass mark the learner will be required to repeat the element of assessment that they failed. Reassessment materials will be published on Moodle after the Examination Board meeting and will be aligned to the MIMLOs and learners will be capped at 40% unless there are personal mitigating.

Aims & Objectives

This Computational Thinking & Logic module will ensure learners meet the following objectives:

Master arithmetic operations and algebraic manipulation.
Handle fractions, percentages, and logarithms effectively.
Understand propositional logic and truth tables.
Utilize set theory principles and interpret sets through diagrammatic representation.
Comprehend number sets and notation methods.
Gain familiarity with sequences and series.
Interpret and summarize data with statistical measures.
Grasp binary, octal, and hexadecimal systems for computing.

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