Full Title:Mathematics 2
Language of Instruction:English
Module Code:MATH I7009
 
Credits: 5
Valid From:Semester 1 - 2014/15 ( September 2014 )
Module Delivered in 1 programme(s)
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
  1. Differentiate functions occurring in Civil Engineering
  2. Integrate functions occurring in Civil Engineering
  3. Apply Differentiation and Integration to the calculation of a wide range of quantities
  4. 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 Work20.00%
End of Module Formal Examination80.00%

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
No Project
No Practical
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Marks Out Of Pass Marks Assessment Date Duration
Formal Exam End-of-Semester Final Examination 1,2,3,4 80.00 0 0 End-of-Semester 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

Module Delivered in

Programme Code Programme Semester Delivery
DK_ECIVL_7 Bachelor of Engineering in Civil Engineering 3 Mandatory