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 should be able to:
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.
Pre-requisite learning
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
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module.
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.
No requirements listed
Module Content & Assessment
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.
Assessment Breakdown
%
Continuous Assessment
50.00%
End of Module Formal Examination
50.00%
Continuous Assessment
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Short Answer Questions
Quiz questions
1,2,3,4
20.00
Ongoing
Examination
Class Test 1
1,2
15.00
Week 6
Examination
Class Test 2
3,4
15.00
Week 11
No Project
No Practical
End of Module Formal Examination
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Formal Exam
End of module examination
1,2,3,4
50.00
End-of-Semester
SETU Carlow Campus reserves the right to alter the nature and timings of assessment