Modules

Core Module Information
Module title: Advanced Mathematics
SCQF level: 09:
SCQF credit value: 20.00
ECTS credit value: 10
Module code: ELE09115
Module leader: Vladimir Bratov
School School of Computing, Engineering and the Built Environment
Subject area group: Engineering and Mathematics
Prerequisites

Requisites: Pre-requisite: [Module ELE08103] Intermediate Mathematics A
Description of module content:

This module covers mathematical concepts and examples of their application to solve practical problems in civil engineering and everyday life. You will consolidate your knowledge of calculus and master the basic concepts of vector calculus with their application to real physical processes. You will learn how to solve first and second order ordinary differential equations. You will understand the character and application of Laplace Transforms. You will understand the definition and character of the Fourier Series, and their application. You will also understand the nature of partial differential equations and their solution.
Learning Outcomes for module:

Upon completion of this module you will be able to

LO1: Use vector calculus - divergence. gradient and curl.

LO2: Construct Laplace transforms, identify their inverses, and apply this to engineering problems.

LO3: Solve first and second order ordinary differential equations using various techniques.

LO4: Construct Fourier series of a given function.

LO5: Understand the concept of a Partial Differential Equation and use the method of separation of variables.
Full Details of Teaching and Assessment
2024/5, Trimester 2, In Person,
VIEW FULL DETAILS
Occurrence: 001
Primary mode of delivery: In Person
Location of delivery: MERCHISTON
Partner:
Member of staff responsible for delivering module: Vladimir Bratov
Module Organiser:


Student Activity (Notional Equivalent Study Hours (NESH))
Mode of activityLearning & Teaching ActivityNESH (Study Hours)NESH Description
Face To Face Lecture 30 Lectures are covering theory and include examples of solutions needed to master the learning outcomes and to prepare for the final examination
Face To Face Tutorial 30 Tutorials are guided (by lecturer and peer tutors) sessions to practice solving problems needed to master the learning outcomes and to prepare for the final examination
Face To Face Centrally Time Tabled Examination 2 Centrally Time Tabled Examination can cover all of the learning outcomes.
Online Guided independent study 138 Guided independent study to master theory and solution of mathematical problems needed to master the learning outcomes and to prepare for the final examination
Total Study Hours200
Expected Total Study Hours for Module200


Assessment
Type of Assessment Weighting % LOs covered Week due Length in Hours/Words Description
Report 30 4 Week 10 , WORDS= 3000 words Report is covering the learning outcome related to Fourier Series
Class Test 20 2~3 Week 6 HOURS= 1 Class Test is covering learning outcomes about ODEs and Laplace transforms
Centrally Time Tabled Examination 50 1~2~3~4~5 Exam Period HOURS= 2 hours Centrally Time Tabled Examination can cover all of the learning outcomes.
Component 1 subtotal: 50
Component 2 subtotal: 50
Module subtotal: 100

Indicative References and Reading List - URL:
Advanced Mathematics
 

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