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# MEng Chemical Engineering / Course details

Year of entry: 2021

## Course unit details:Engineering Mathematics 1

Unit code CHEN10011 10 Level 1 Semester 1 Department of Mathematics No

### Overview

• 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.

### Aims

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.

### Learning outcomes

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

Lectures will be delivered as pre-recorded asynchronous videos. Problem solving tutorials, on-line video examples and on-line quizzes. Handbook (hardcopy and electronic version), notes and slides available on Blackboard throughout the semester.

### Assessment methods

 Assessment task Length Weighting within unit (if relevant) Continuous assessment - 30% Exam style assessment - 70%

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.

### Study hours

Scheduled activity hours
Lectures 16
Tutorials 8
Independent study hours
Independent study 76

### Teaching staff

Staff member Role
Peter Martin Unit coordinator
Abdullatif Alfutimie Unit coordinator