Full Title:  Mathematics 1 

Language of Instruction:  English 

Valid From:  Semester 1  2014/15 ( September 2014 ) 

Module Description:  The aim of the course is to familiarise the student with the basic concepts, techniques and operations of mathematics of particular relevance to an engineering programme. 

Learning Outcomes: 
On successful completion of this module the learner should be able to 
 Use numerical, algebraic and graphing skills in an engineering environment.
 Solve a broad range of algebraic and trigonometric equations.
 Deal competently with experimental data and the mathematics encountered in other engineering areas of the programme.
 Use mathematically related software for example MATHLAB, EXCEL Spreedsheets.

Module Content & Assessment
Indicative Content 
Numbers Number types, operations of arithmetic. Scientific notation, calculation and use of calculator, errors. Number bases.

Algebra Solution of linear, quadratic and simultneous equations. Indices, logarithms to base 10 and to base e. Transposition of formulae.

Functions and Graphs Linear, piecewise linear, polynomial, exponential, logarithmic functions. Solutions of indicial equations. Graphing functions, using graphs to find roots and estimate roots.

Trigonometry and Complex Numbers Angular measurement. Theorem of Pythagoras. Sine, cosine and tangent of an angle, solution of triangles, sine and cosine rules. Sine and cosine waves, angular velocity, wavelength, amplitude, addition of waves and phasor diagrams. Complex numbers, Argand diagram, Cartesian form, Polar form, Arithmetic of Complex Numbers.

Assessment Breakdown  % 
Course Work  40.00% 
End of Module Formal Examination  60.00% 
Full Time
Course Work 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Marks Out Of 
Pass Marks 
Assessment Date 
Duration 
Class Test 
1. Attendance and participation at tutorials; 2. Completion of a set of tutorial sheets or homeworks based on the course. 3. Two onehour midsemester examinations. 
1,2,3,4 
40.00 
0 
0 
n/a 
0 
End of Module Formal Examination 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Marks Out Of 
Pass Marks 
Assessment Date 
Duration 
Formal Exam 
EndofSemester Final Examination 
1,2,3 
60.00 
0 
0 
EndofSemester 
120 
Reassessment Requirement 

A repeat examination Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element. 
DKIT reserves the right to alter the nature and timings of assessment
Module Workload & Resources
Workload: Full Time 
Workload Type 
Workload Description 
Hours 
Frequency 
Average Weekly Learner Workload 
Lecture 
No Description 
2.00 
Every Week
 2.00 
Tutorial 
No Description 
1.00 
Every Week
 1.00 

Total Weekly Learner Workload 
3.00 
Total Weekly Contact Hours 
3.00 
This course has no Part Time workload. 

Resources 

Recommended Book Resources 

 John Bird 2012, Engineering Mathematics, 6th Ed., Routledge
 Croft, A. & Davidson, R. 2010, Foundation Mathematics, 5th Ed., Pearson (Prentice Hall)
 Davis, H.G. & Hicks, G.A. 1998, Mathematics for Scientific and Technical Students, Longman
 This module does not have any article/paper resources 

Other Resources 

 Link: Library Catalogue
 Website: Mathworld
 Website: Khanacademy

Module Delivered in
