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Parent Programme
Bachelor of Science in Computing (Level 7 NFQ)
NFQ Levil & Reference
Level 6 / Ref: M1.8
Duration
12 Weeks X 3 Hours per week
MODULE TITLE
Mathematics for IT 1
STAGE
Year 1
Module Credit Units
ECTS: 5

Mathematics for IT 1

Introduction to Mathematics for IT

The Mathematics for IT 1 enables the learner to develop and foster their problem-solving skills using mathematics. This module ensures the learner sees mathematics as an integral part of their studies and necessary as part of successful progression both horizontally and vertically within the programme.

Indicative Syllabus Content

Mathematics for IT

Matrices:

  • Introduction to matrices and the order of matrices
  • Types of (square) matrices: symmetric, diagonal, identity
  • Adding, subtracting and multiplying matrices
  • Transpose of a matrix
  • The determinant and inverse of 2 x 2 and 3 x 3 matrices

Relations:

  • (Binary) relations (as a set of ordered pairs), digraphs
  • Reflexive, symmetric, antisymmetric, transitive, and closures
  • Equivalence relations, equivalence classes, partitions

Functions:

  • Introduction to (finite discrete) functions as a special case of relations
  • Domain, codomain, image (range)
  • Expressing a function as a mapping diagram and in “domain-codomain-rule" notation
  • Types of functions: injective, surjective, bijective
  • Inverse of a function, domain restriction
  • Composition of functions
  • Exploring some non-finite and continuous functions (e.g. linear on an interval or the Reals, modulo)

Trigonometry:

  • Degrees and Radians
  • Pythagoras' theorem
  • Trigonometric ratios: sin, cos and tan, and the inverses of these
  • Sine rule and cosine rule
  • Compound angle formula

Algebra:

  • Factorization and roots, solving quadratics and cubics
  • Solving simultaneous equations
  • Solving inequalities which involve intersections/unions, quadratics, absolute values

Coordinate Geometry:

  • Points as ordered pairs and expressed on the Cartesian plane
  • Distance between two points, slope
  • Equation of a line, and construction of such from two points or the slope and a point or y-intercept, calculating a y value from an x value or an x value from a y value
  • Perpendicular and parallel lines
  • 3-dimensional Cartesian coordinate system

Minimum Intended Learning Outcomes (MIMLOs)

Upon successful completion of this module, the learner should be able to:
MIMLO1
Use matrix operations on matrices of various orders.
MIMLO2
Produce digraphs of relations and functions of their various types.
MIMLO3
Solve trigonometric problems using Pythagoras' theorem and the sine, cosine and tangent ratios and rules.
MIMLO4
Solve algebraic problems involving simultaneous equations and inequalities.

Assessment

MIMLOs
Assessment
Percentage
1, 2, 3, 4
Continuous Assessment (In-class written text)
Total 100%
Final Examination (Proctored written Exam)
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 circumstances.

Aims & Objectives

This Mathematics for IT module will ensure learners meet the following objectives:

  • Understand matrices, binary relations, and equivalence relations.
  • Comprehend discrete functions and trigonometric concepts.
  • Develop proficiency in algebra, solving equations, and coordinate geometry.
  • Explore coordinate geometry, including the Cartesian plane and equations of lines.
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