MATH6006 - Engineering Maths 102

Title:Engineering Maths 102
Long Title:Calculus 1 for Eng Maths
Module Code:MATH6006
 
Duration:1 Semester
Credits: 5
NFQ Level:Fundamental
Field of Study: Mathematics
Valid From: Semester 2 - 2015/16 ( January 2016 )
Module Delivered in 7 programme(s)
Module Coordinator: David Goulding
Module Author: AINE NI SHE
Module Description: This module is designed to provide an introduction to fundamental calculus techniques used in engineering.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Differentiate various functions.
LO2 Apply differentiation to calculate the equations of tangent and normal lines, maximum and minimum values and rates of change.
LO3 Differentiate functions of several variables.
LO4 Evaluate integrals and apply integration to areas, volumes, length of curves and mean values.
Pre-requisite learning
Module Recommendations
This is prior learning (or a practical skill) that is strongly recommended before enrolment in this module. You may enrol in this module if you have not acquired the recommended learning but you will have considerable difficulty in passing (i.e. achieving the learning outcomes of) the module. While the prior learning is expressed as named CIT module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s).
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module. You may not earn additional credit for the same learning and therefore you may not enrol in this module if you have successfully completed any modules in the incompatible list.
No incompatible modules listed
Co-requisite Modules
No Co-requisite modules listed
Requirements

This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed. You may not enrol on this module if you have not acquired the learning specified in this section.

No requirements listed
 

Module Content & Assessment

Indicative Content
Differentiation
Limits of functions. Definition of the derivative. Standard derivatives. Differentiation of polynomial, trigonometric, inverse trigonometric, exponential,logarithmic and hyperbolic function. Implicit, parametric, and logarithmic differentiation. Tangents and normals to curves. Maximum and minimum values.
Partial differentiation
Functions of several variables. Partial derivatives of functions of several variables.
Integration
Standard integrals. Integration techniques to include substitution, completion of the square and partial fractions. Integration of trigonometric functions. Integration by parts. Applications to include areas, volumes, mean values and length of curves.
Assessment Breakdown%
Course Work30.00%
End of Module Formal Examination70.00%
Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Short Answer Questions Assessment 1 - Differentiation 1,2 15.0 Week 5
Short Answer Questions Assessment 2 - Integration 3,4 15.0 Week 10
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Formal Exam End-of-Semester Final Examination 1,2,3,4 70.0 End-of-Semester
Reassessment Requirement
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.

The institute reserves the right to alter the nature and timings of assessment

 

Module Workload

Workload: Full Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture Class based instruction 3.0 Every Week 3.00
Tutorial Based on exercise sheets 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Review of lecture material, completion of exercise sheets 3.0 Every Week 3.00
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
Workload: Part Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture Class based instruction 3.0 Every Week 3.00
Lecture Based on exercise sheets 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Review of lecture material, completion of exercise sheets 3.0 Every Week 3.00
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
 

Module Resources

Recommended Book Resources
  • K. A. Stroud 2001, Engineering Mathematics, Palgrave Macmillan 2001
  • A. Croft and R. Davison 2003, Mathematics for Engineers, 2nd Ed., Prentice Hall [ISBN: 978-0131201934]
  • Glyn James, Modern Engineering Mathematics
This module does not have any article/paper resources
This module does not have any other resources
 

Module Delivered in

Programme Code Programme Semester Delivery
CR_EBIOM_8 Bachelor of Engineering (Honours) in Biomedical Engineering 2 Mandatory
CR_ECPEN_8 Bachelor of Engineering (Honours) in Chemical and Biopharmaceutical Engineering 2 Mandatory
CR_EMECH_8 Bachelor of Engineering (Honours) in Mechanical Engineering 2 Mandatory
CR_CSTRU_8 Bachelor of Engineering (Honours) in Structural Engineering 2 Mandatory
CR_EOMNI_8 Engineering Common Entry (Level 8) 2 Mandatory
CR_CCEEE_9 Master of Engineering in Civil Engineering (Environment and Energy) 2 Mandatory
CR_CSTEN_9 Master of Engineering in Structural Engineering 2 Mandatory