The aim of the module is to develop students' proficiency in calculus as a basis for further study in civil engineering.
Learning Outcomes
On successful completion of this module the learner will be able to:
#
Learning Outcome Description
LO1
Use various methods to find the roots of equations.
LO2
Apply differential and integral calculus and partial differential calculus to a variety of engineering applications.
LO3
Apply techniques to approximate definite integrals.
LO4
Solve simple first and second order differential equations.
Dependencies
Module Recommendations
This is prior learning (or a practical skill) that is recommended before enrolment in this module.
9890
MATH C1503
Mathematics and Statistics I
Co-requisite Modules
No Co-requisite modules listed
Additional Requisite Information
No Co Requisites listed
Indicative Content
Roots of equations
(a) Factor theorem and remainder theorem. (b) Factorising cubic equations. (c) The discriminant and roots of quadratic equations. (d) Interpolation including Newton-Raphson method.
Further calculus
(a) Review of differentiation using product, quotient and chain rule.
(b) Review of integration by parts, substitution and partial fractions. Applications to engineering problems including centroids.
(c) Partial differentiation and application to small changes.
Approximating integrals
(a) Taylor polynomials. (b) Trapezoidal rule. (c) Simpson's rule.
Introduction to ordinary differential equations
(a) General solutions and particular solutions. (b) First order separable ODEs. (c) First order linear ODEs. (d) Second order linear ODEs with constant coefficients.
Module Content & Assessment
Assessment Breakdown
%
Continuous Assessment
50.00%
End of Module Formal Examination
50.00%
Assessments
Full Time
Continuous Assessment
Assessment Type
Short Answer Questions
% of Total Mark
20
Timing
Ongoing
Learning Outcomes
1,2,3,4
Non-marked
No
Assessment Description Quiz questions
Assessment Type
Examination
% of Total Mark
15
Timing
Week 6
Learning Outcomes
1,2
Non-marked
No
Assessment Description Class Test 1
Assessment Type
Examination
% of Total Mark
15
Timing
Week 11
Learning Outcomes
3,4
Non-marked
No
Assessment Description Class Test 2
No Project
No Practical
End of Module Formal Examination
Assessment Type
Formal Exam
% of Total Mark
50
Timing
End-of-Semester
Learning Outcomes
1,2,3,4
Non-marked
No
Assessment Description End of module 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.
SETU Carlow Campus reserves the right to alter the nature and timings of assessment
Module Workload
Workload: Full Time
Workload Type
Workload Category
Contact Type
Workload Description
Frequency
Average Weekly Learner Workload
Hours
Lecture
Contact
No Description
12 Weeks per Stage
4.00
48
Estimated Learner Hours
Non Contact
No Description
15 Weeks per Stage
6.00
90
Total Weekly Contact Hours
4.00
Module Resources
Recommended Book Resources
J. O. Bird. (2021), Bird's Higher Engineering Mathematics, Routledge, p.916, [ISBN: 9780367643737].