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???

**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.

Differentiation:

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 Examination | 55 |