## MATH C2503 - Engineering Mathematics II

Module Title: Engineering Mathematics II English
 Credits: 5
 NFQ Level: 7
Module Delivered In 2 programme(s)
Teaching & Learning Strategies: Lectures, private study.
Module Aim: 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 Assessment50.00%
End of Module Formal Examination50.00%
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