Full Title:  Applied Mathematics 

Language of Instruction:  English 

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

Module Description:  The function of this course is to enable the student to appreciate the importance of units, be able to identify and analyse basic force systems and apply basic trigonometry to the solution of problems in surveying and mechanics. 

Learning Outcomes: 
On successful completion of this module the learner should be able to 
 Apply basic trigonometry
 Solve linear equations and transpose linear formulae
 Calculate the areas and volumes of regular shapes and objects
 Use units correctly in their calculations
 Analyse basic concurrent coplanar force systems

Module Content & Assessment
Indicative Content 
Arithmetic Number Types, Operations and Laws of Arithmetic, Use of Calculator, Percentages, Errors(Rounding, Absolute, Relative and Percentage Errors ), Approximations , Scientific Notation, The S.I. system of units, Definitions, units and symbols, Converting units, Other systems of units.

Algebra Formation and Evaluation of Formulas, Brackets, Simple transpositions and Solutions of equations, Linear Function, Straight line Graph

Mensuration Perimeters and areas of regular plane figures and composites of regular plane figures. Surface Areas and Volumes of Regular Solids and composites of regular solids

Trigonometry Parallel lines, Triangles, Similarity , Measurement of angles in degrees ,minutes and seconds , Right angled triangle , Pythagoras’ Theorem , Trigonometric ratios, Inverse Trigonometric Ratios, Solution of problems in Surveying and Mechanics

Concurrent Coplanar Force Systems Mass, force and gravity. Representation of a force as a vector. Classification of force systems. Triangle, parallelogram and polygon of forces theorems. Resultant, equilibrant and components. Bow’s Notation. Space and force diagrams. Ties and struts. Equations of equilibrium

Assessment Breakdown  % 
Course Work  20.00% 
End of Module Formal Examination  80.00% 
Full Time
Course Work 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Marks Out Of 
Pass Marks 
Assessment Date 
Duration 
Other 
Laboratory Practicals 
5 
10.00 
0 
0 
n/a 
0 
Class Test 
Topic Assessment 
1,2,3,4 
5.00 
0 
0 
n/a 
0 
Class Test 
Topic Assessment 
1,4,5 
5.00 
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 
2 hour exam 
1,2,3,4,5 
80.00 
0 
0 
EndofSemester 
0 
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. 
Reassessment Description Students shall be offered appropriate alternative assessments in place of recoverable elements of coursework for consideration prior to the repeat examination board meeting. Elements of coursework which the programme board have agreed are nonrecoverable are clearly communicated to students at the start of each semester.

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 
Practical 
Laboratory 
2.00 
Every Second Week
 1.00 
Directed Reading 
Text Books 
2.00 
Every Week
 2.00 
Independent Study 
Application of lecture topics 
3.00 
Every Week
 3.00 

Total Weekly Learner Workload 
9.00 
Total Weekly Contact Hours 
4.00 
This course has no Part Time workload. 

Resources 

Recommended Book Resources 

 R. Whitlow 1991, Materials and Structures, 2nd Edition Ed., Longman [ISBN: 0582066980]
 H. Al Nageim, F. Durka, W. Morgan and D. Williams 2010, Structural Mechanics, 7th Edition Ed., Prentice Hall [ISBN: 0132239647]
 J. Bird 2010, Engineering Mathematics, 6th Edition Ed., Newnes [ISBN: 0080965628]
 This module does not have any article/paper resources 

Other Resources 

 website: Engineering Mathematics
 website: Mathematical Tutorials

Module Delivered in
