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Parent Programme
Bachelor of Science in Computing (Level 7 NFQ)
NFQ Level & Reference
Level 6 / Ref: M2.2
Duration
12 Weeks X 3 Hours per week
MODULE TITLE
Mathematics for IT 2
STAGE
2
Module Credit Units
ECTS: 5

Mathematics for IT 2 Module

Introduction Mathematics for IT

This Mathematics for IT module will enable the learner to build on the knowledge and skills acquired at stage one through the mathematics modules. This module ensures the learner sees mathematics as an integral part of their studies and is necessary as part of successful progression both horizontally and vertically within the programme.

Indicative Syllabus Content

Mathematics for IT module

Functions & Graphing:

  • The graph of a function, vertical line test, horizontal line tests
  • Linear functions, polynomial (including quadratic & cubic) functions
  • Exponential, logarithmic and reciprocal functions
  • Trigonometric functions
  • Inverse functions (and domain restriction) of the above-named functions
  • Transformations of the above-named functions
  • Asymptotes and limits of a function

Calculus:

  • Differentiation from first principles
  • Derivative of polynomials and polynomial-like functions (negative/rational powers)
  • Derivative of exponentials, logs, trigonometric functions
  • Standard derivatives formulas: the product rule, quotient rule and chain rule
  • Second derivative
  • Applications of derivatives: rates of change, critical points, maxima and minima
  • Definite and indefinite integrals
  • Applications of integrals

Vectors:

  • Vectors as n-tuples, column vector notation, and as arrows in Cartesian space
  • The i, j and k unit vectors, and putting vectors into components using these
  • Adding and subtracting vectors, and scalar multiplication
  • Magnitude (length/norm) and direction of vectors
  • Dot product, and angle between two vectors
  • Cross product

Linear Algebra:

  • Definition of a linear map
  • Solving sets of linear equations using Gauss-Jordan elimination (and knowing the number of solutions)
  • Representing points or vectors as columns in a matrix (e.g. a polygon)
  • Vector and matrix (e.g. polygon) transformations: translations, scaling, reflections, rotations, projections
  • Eigenvalues and eigenvectors
  • Diagonalization of matrices

Minimum Intended Learning Outcomes (MIMLOs)

Upon successful completion of this module, the learner should be able to:
MIMLO1
Produce graphs of a variety of functions.
MIMLO2
Apply differentiation and integration on a variety of functions.
MIMLO3
Use vector operations on vectors.
MIMLO4
Apply linear algebra concepts to perform linear transformations.

Assessment

MIMLOs
Assessment
Percentage
1, 2, 3, 4
CA 1, CA 2, CA 3 In-class written tests
Total 100%
Final Exam - 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:

  • Analyze functions, graphs, and apply line tests.
  • Master various function types and their transformations.
  • Explore inverse functions, asymptotes, and limits.
  • Demonstrate differentiation and integration techniques and their real-world applications.
  • Utilize vectors and linear maps for operations and transformations.
  • Understand linear maps, solving equations, and matrix transformations.
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