DIP40 Mathematics and Mechanical Drawing for Quality Assurance (Undergraduate level)

Module code: DIP40


Module Type: Compulsory for Technical Educational Institute graduates, Optional for University graduates


Year:
1st

Language: Greek

Module general description: The module under the code DIP40 is an undergraduate level module and it is an elective module for the students having a University degree. They decide to follow this module either for refreshing or strengthening their knowledge in Maths in order to facilitate their studies in the graduate modules of DIP. It is formed by two independent subjects on Maths for Quality Assurance and Mechanical Drawing. The students may follow either both or only one of the subjects, in addition to the graduate modules of the 1st academic year.

Since the Mathematical background of the students having a higher education degree from a Technical Educational Institute is not solid, they are obliged to follow the first part of the subject of DIP40 (Mathematics for Quality Assurance) during the 1st year of their graduate studies, while the second part of DIP40 is also elective for them.
For this group of students Mathematics for Quality Assurance is prerequisite for the modules  DIP50, DIP60 and DIP61. As a result, students having a Technological higher education degree, during their 1st year of graduate studies may follow the DIP51 module in addition to DIP40.

Mathematics for Quality Assurance
Single variable functions. Limits of functions, continuous functions, properties of continuous functions, uniform continuity, exponential and logarithmic functions, trigonometric and inverse trigonometric functions. Differentiation (the mean value theorem, L'Hospital's rule, Taylor's theorem). Study of a function using derivatives (local minima and maxima). Techniques of integration. The Riemann integral, properties of the Riemann integral, the fundamental theorem of calculus, approximate integration, applications of integration. Improper integrals of the first and second kind, tests for convergence. Multi-variable functions. Partial derivatives. Local minima and maxima of 2-variable functions. Double and triple integrals and techniques of integration, the change of variables theorem, applications of double integrals.
Sets and relations, functions, Real numbers (introduction, topology of the real line).
Matrix algebra, determinants, matrix inverses, linear systems, unitary matrices. Vectors and vector algebra (inner product, vector product, mix product).


Mechanical Drawing
Types of engineering drawings - International standards (ISO, DIN, ASA, BS etc). Paper sizes. Scales. Types of lines and their use. Multi-view projection. Sectional and auxiliary views - Dimensioning of the engineering drawings - Threads and screws - Drawings of the basic machine elements - Tolerances - Assignment of surface quality and roughness at tributes - assembly drawings.

Subjects covered:
1. Mathematics for Quality Assurance
2. Mechanical Drawing

Learning Material: The HOU publications can be viewed
here.

Teaching Method: Distance education with five Contact Sessions held at weekends during the academic year

Evaluation: Completion of six written assignments during the academic year, the average grade of which constitute a 30 percent of each student's grade, if a pass is obtained in the final or repetitive examination. Final exam grades constitute a 70 percent of the students' final course grade. More information is available
here.