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

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.

** 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

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.

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

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.

**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.

[TheChamp-Sharing]

APPLY NOW

Quicklinks

Q