Mathematics for IT 1

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.

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