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MEng Chemical Engineering / Course details
Year of entry: 2021
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Course unit details:
Engineering Mathematics 1
|Unit level||Level 1|
|Teaching period(s)||Semester 1|
|Offered by||Department of Mathematics|
|Available as a free choice unit?||No|
- Differentiation - Rule of differentiation including product, quotient and chain rules. Differentiating key functions including polynomials, trigonometric, exponential and logarithmic functions. Finite difference approximation to derivatives. Applying differentiation with l’Hopital’s Rule, Taylor and McLaurin series, and for numerically finding roots of nonlinear equations with the bisection method and Newton Raphson method. Extension to function of two or more variables including first and higher partial derivatives.
- Integration - Rules of integration for functions including polynomials, trigonometric, exponential and logarithmic, Finding the constant of integration. Integrals with limits, integration by substitution and by parts.
- Probability - Concept of probability, axioms of probability and probability density functions.
- Statistics - Analysis of data and plotting graphs. Mean, standard deviation and coefficient of variation. Histograms and frequency distributions. Errors and error propagation, Regression and correlation. Least-squares fitting.
The unit aims to:
Develop the ability to apply the basic principles and methods of calculus and statistics to the types of problems encountered in their study of Chemical Engineering. Learn how to scrutinise a problem to identify the key variables and the most suitable mathematical technique to apply.
Recognise, interpret and manipulate different types of symbols and expressions in calculus equations
Apply the rules of calculus to equations in order to find solutions to problems.
Substitute symbols used in equations with alternative symbols.
Interpret real engineering problems and identify key variables and processes and represent these as calculus equations which can then be solved.
Be able to identify the different types of variable and errors in an engineering situation and use them to quantify uncertainty or justify making informed decisions.
Take experimental or process data and analyse this in a variety of ways visually and statistically, both from first principles and using software, in order to find meaning within it.
Teaching and learning methods
Weighting within unit (if relevant)
Exam style assessment
1) Stroud, K. and Booth, D. (2003). Engineering mathematics. Basingstoke [u.a.]: Palgrave.
2) Kreyszig, E. (2011). “Advanced engineering mathematics”, Wiley.
3) Finlayson, B., Biegler, L. and Grossmann, I. (2006). Mathematics in Chemical Engineering. Ullmann's Encyclopedia of Industrial Chemistry. Retrieved from http://onlinelibrary.wiley.com/doi/10.1002/14356007.b01_01.pub2/pdf
4) Denn, M. (2012). Chemical engineering. Cambridge: Cambridge University Press.
5) Albright, L. (2009). Albright's chemical engineering handbook. Estados Unidos: Taylor & Francis Group, LLC.
|Scheduled activity hours|
|Independent study hours|
|Peter Martin||Unit coordinator|
|Abdullatif Alfutimie||Unit coordinator|
This course unit detail provides the framework for delivery in 20/21 and may be subject to change due to any additional Covid-19 impact. Please see Blackboard / course unit related emails for any further updates.