Module Overview

Technical Mathematics 3

The first aim of Technical Mathematics 3 is to develop the students’ competence in a range ofmathematical techniques in discrete mathematics, probability as applied to reliability, arrayhandling and basic calculus in such a way as to support other engineering modules. The secondaim is to deepen the students understanding of key mathematical ideas regarding numbersystems, logic, probability, rates of change and matrices as a basis for further mathematicalstudy in semester 4. The third aim is to extend the students use of software applications in themanipulation and processing of engineering data.????PROGRAMMING content edit???

Module Code

MATH H2091

ECTS Credits


*Curricular information is subject to change

Computing :

Number bases: binary decimal hexadecimal. Translation betweenthem.

Discrete Mathematics:

Simple and compound propositions. Truth tables. Simple logiccircuits: AND, OR, NAND, NOR, EXCLUSIVETabular simplification technique.

Probability (Reliability)

Definition of probability. Calculatingprobabilities. The laws of probability. Reliability engineering:components in series and in parallel ( use of AND/OR).

Probability distributions:

Recognize Poisson and exponential distributions and use them in problems on reliability and rate of defects.


Use of a table of derived functions. Use of the multiple, sum,product, quotient and chain rules.Average and instantaneous rate of change. Definition of derivative ofa function at a point. Geometric interpretation of the derivative.

Function investigation using differentiation:

Increasing and decreasing functions. Stationary points. Classifyingstationary points and the second derivative test. Applied Maximum /minimum and approximate error problems.

Geometry and Matrices:

Matrix definition. Matrix algebra. Matrix determinant, specialmatrices and the matrix of a geometric transformation. Inversematrix formula for 2´2. Systems of linear equations in matrix form.Row reduction for finding the inverse of a matrix. Solution of systemof linear equations using row reduction (Gaussian elimination).

Software skills:

Spreadsheets and spreadsheet formulas for reliability. Matrices, vectors, matrix inverse, solving systems of linear equations in Matlab. Calculus in Geogbea.

Module Content & Assessment
Assessment Breakdown %
Other Assessment(s)45
Formal Examination55