Maths for Engineers IV module (GA23004)

Further develop your mathematical techniques for engineering, covering partial differentiation, differential equations, and multi-variable calculus

Credits
10
Module code
GA23004
Level
2
Semester
Runs during the summer
School
School of Science and Engineering
Discipline
Graduate Apprenticeship Programme

​​Maths for Engineers IV is the fourth in a series of mathematics modules designed to build the mathematical competency required for engineering courses at SCQF Level 8.

The module focuses on three key areas:

  • partial differentiation, which underpins many engineering models involving multiple variables
  • differential equations, which are fundamental to the analysis of dynamic systems
  • multi-variable calculus, extending integration and differentiation into higher-dimensional problems

Teaching combines lectures demonstrating mathematical techniques with built-in tutorial sessions giving you the opportunity to practise applying these methods. Assessment includes regular low-stakes homework exercises and an assessed class test in controlled conditions. 

​What you will learn 

​In this module, you will: 

  • ​Apply partial differentiation to functions of multiple variables 
  • ​Formulate and solve differential equations arising in engineering contexts 
  • ​Use multi-variable calculus techniques including multi-dimensional integration 
  • ​Apply mathematical problem-solving and reasoning strategies to unfamiliar problems 

​By the end of this module, you will be able to: 

  • ​Apply relevant mathematical techniques and tools to solve mathematical problems involving partial differentiation, differential equations, and multi-variable calculus 
  • ​Apply problem-solving and reasoning strategies to unfamiliar mathematical problems encountered in engineering contexts​

Assignments / assessments

​​Homework Exercises (30%) 

  • ​Three low-stakes homework exercises covering module topics, providing regular practice and formative feedback throughout the module. 

​Class Test (70%) 

  • ​Assessed class test in controlled conditions, covering all module topics including partial differentiation, differential equations, and multi-variable calculus. 

​This module does not have a final exam.​

Teaching methods / timetable

  • ​​Lectures demonstrating mathematical techniques and concepts 
  • ​Built-in tutorial sessions providing practice on using analytical approaches to solve engineering mathematics problems​