Full Title:  Mathematics 2 

Language of Instruction:  English 

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

Module Description:  The Differentiation and Integration of functions of one variable and their application to the solution of ordinary differential equations 

Learning Outcomes: 
On successful completion of this module the learner should be able to 
 Differentiate functions occurring in Civil Engineering
 Integrate functions occurring in Civil Engineering
 Apply Differentiation and Integration to the calculation of a wide range of quantities
 Set up and solve mathematical models expressed in terms of first and second order differential equations

Module Content & Assessment
Indicative Content 
Differentiation Slope , Rate of Change, Standard Derivatives, Differentiation Rules(Product, Quotient, Chain), Implicit Differentiation, Extreme Points, Curve Sketching , Newton  Raphson Method

Integration Fundamental theorem of the calculus, Standard Integrations, Integration techniques(Substitution, Partial Fractions, Parts), Numerical Integration, Areas, Volumes, Arc length, Average and Root Mean square, Centroids, Moments of Inertia

Differential Equations Mathematical Models in Engineering, First Order Differential Equations, Separation of variables , Integrating factor, Second order Equations , Initial and Boundary value problems, Application to problems in Structural Mechanics

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 
Continuous Assessment 
Ten homework exercises 
1,2,3,4 
10.00 
0 
0 
n/a 
0 
Continuous Assessment 
Two Class Tests 
1,2,3,4 
10.00 
0 
0 
n/a 
60 
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 
1,2,3,4 
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. 
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 
Class Room 
3.00 
Every Week
 3.00 
Tutorial 
Class Room 
1.00 
Every Week
 1.00 
Directed Reading 
No Description 
2.00 
Every Week
 2.00 
Independent Study 
No Description 
2.00 
Every Week
 2.00 

Total Weekly Learner Workload 
8.00 
Total Weekly Contact Hours 
4.00 
This course has no Part Time workload. 

Resources 

Recommended Book Resources 

 K. Stroud 2004, Engineering Mathematics, 6 Ed., Palgrave MacMillan
 J.Bird 2003, Engineering Mathematics, Newnes
 Glyn James at al 2007, Modern Engineering Mathematics, 4 Ed., Prentice Hall
 This module does not have any article/paper resources 

Other Resources 

 Website: Engineering Mathematics
 Website: Mathematical Tutorials
 Website: Video Lectures

Module Delivered in
