Module Details

Module Code: MATH6061
Title: Introductory Calculus
Long Title: Introductory Calculus
NFQ Level: Fundamental
Valid From: Semester 1 - 2019/20 ( September 2019 )
Duration: 1 Semester
Credits: 5
Field of Study: 4610 - Mathematics
Module Delivered in: 3 programme(s)
Module Description: This module introduces differential and integral calculus and treats applications pertinent to the student discipline.
 
Learning Outcomes
On successful completion of this module the learner will be able to:
# Learning Outcome Description
LO1 Differentiate a wide variety of functions encountered in civil and environmental engineering problems.
LO2 Determine the equation of a tangent line, calculate rates of change and solve optimisation problems.
LO3 Evaluate anti-derivatives and definite integrals using table look-up and the method of substitution.
LO4 Apply integration to problems relevant to civil and environmental engineering problems.
LO5 Formulate and solve first-order differential equations.
Dependencies
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 MTU 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
 
Indicative Content
Differentiation
Introduction to limits. Definition and graphical interpretation of a derivative. Differentiation of common functions using the product, quotient and chain rules. Applications of differentiation.
Integration
Integration as anti-differentiation. Evaluation of standard integrals using table look-up and the method of substitution. Applications of the definite integral. Solutions of first-order differential equations.
Module Content & Assessment
Assessment Breakdown%
Coursework100.00%

Assessments

Coursework
Assessment Type Short Answer Questions % of Total Mark 30
Timing Week 4 Learning Outcomes 1
Assessment Description
Written Assessment on the Rules of Differentiation
Assessment Type Short Answer Questions % of Total Mark 30
Timing Week 8 Learning Outcomes 3
Assessment Description
Written Assessment on the Rules of Integration
Assessment Type Short Answer Questions % of Total Mark 40
Timing Week 12 Learning Outcomes 2,4,5
Assessment Description
Written Assessment on Applications of Calculus in Civil and Environmental Engineering
No End of Module Formal Examination
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 University reserves the right to alter the nature and timings of assessment

 

Module Workload

Workload: Full Time
Workload Type Contact Type Workload Description Frequency Average Weekly Learner Workload Hours
Lecture Contact Formal lecture Every Week 3.00 3
Tutorial Contact Based on exercise sheets Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Class notes and exercise sheets Every Week 3.00 3
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
Workload: Part Time
Workload Type Contact Type Workload Description Frequency Average Weekly Learner Workload Hours
Lecture Contact Formal Lecture Every Week 2.00 2
Tutorial Contact Based on exercise sheets Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Class notes and exercise sheets Every Week 4.00 4
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 3.00
 
Module Resources
Recommended Book Resources
  • John Bird. (2017), Basic Engineering Mathematics, 7th. Routledge, [ISBN: 1138673706].
  • K.A. Stroud and D. Booth. (2013), Engineering Mathematics, 7th. Red Globe Press, [ISBN: 1137031204].
Supplementary Book Resources
  • K. Singh. (2011), Engineering Mathematics Through Applications, 2nd. Red Globe Press, [ISBN: 023027479X].
  • J. Stewart. (2012), Calculus, 7th. Cengage Learning, [ISBN: 0538497815].
This module does not have any article/paper resources
Other Resources
 
Module Delivered in
Programme Code Programme Semester Delivery
CR_CCIVL_7 Bachelor of Engineering in Civil Engineering 2 Mandatory
CR_CENVI_7 Bachelor of Engineering in Environmental Engineering 2 Mandatory
CR_CCIVL_6 Higher Certificate in Engineering in Civil Engineering 2 Mandatory