Engineering Mathematics 1
Unit code:  CHEN10011 
Credit Rating:  10 
Unit level:  Level 1 
Teaching period(s):  Semester 1 
Offered by  School of Mathematics 
Available as a free choice unit?:  N 
Requisites
NoneAims
To explain the basic principles and methods of mathematics (Statistics and Calculus) necessary for first year students in their study of Chemical Engineering.
To help students acquire practical applicable as well as transferrable knowledge on solving concrete problems including the application of mathematical methods in the laboratories.
Specifically, to gain competency in the variety of skills required for subsequent chemical engineering courses in mathematically oriented topics.
Overview
Statistics (This part is taught by Dr Patricia Scully [PS])
Lecture 1: Analysis of data and plotting graphs.
Lecture 2: Mean, standard deviation and coefficient of variation.
Lecture 3: Histograms and Frequency Distributions.
Lecture 4: Concept of probability, Axioms of probability, Probability density functions.
Lecture 5: Errors and error propagation,
Lecture 6: Regression and correlation, Leastsquares fitting.
Calculus
• Differentiation (This part is taught by Dr Patricia Scully [PS])
Lecture 7Basics of Differentiation Rules (Differentiating polynomials, Differentiating trigonometric functions, Differentiating exponential and logarithmic functions, Differentiating a sum).
Lecture 8Derivative Rules (The product and quotient rules, the chain rule, the first derivative, the second derivative, Higherorder derivatives, Finite difference approximation to derivatives)
Lecture 9 Revision
Teaching and learning methods
To integrating a variety of methods including eLearning and assessment (Nearpod), raffle quiz, brainstorming and use of multimedia in teaching the module.
To demonstrate for the students how the chemical engineer can bring together the fundamentals to build and refine a mathematical model of a process that will help them understand and optimise its performance. This can be done through the building up of the practical examples (see the syllabus) through the lectures and the applications of which through tutorials. (Experiential learning).
To link the process of teaching and learning to the school recommendations of integrating into the module teaching the following enrichment means: EnquiryBasedLearning, problemsolving, post lectures notes via Blackboard, access to podcasts and model answers to pervious year exams.
Learning outcomes
Category of outcome  Students should/will (please delete as appropriate) be able to: 
Knowledge and understanding 
Understand the basics of statistics and calculus.
Understand the different types of variable and the different types of error.
Develop the ability to inquire information in order to solve mathematical and engineering problems by using basic rules. 
Intellectual skills 
Understand and apply statistics and calculus to solve applied chemical engineering and realworld problems.

Practical skills 
Use L'Hospital's rule to evaluate certain indefinite forms. Differentiate functions of one or more variables Expand functions in series form Manipulate partial derivatives Obtain numerical solutions to problems in some important engineering subject areas

Transferable skills and personal qualities 
Apply mathematical skills to solve relevant engineering problems.
Develop the ability to apply and transfer the basic methods and the acquired skills and knowledge in present and future contexts.

Knowledge and understanding
Understand the basics of statistics and calculus.
Understand the different types of variable and the different types of error.
Develop the ability to inquire information in order to solve mathematical and engineering problems by using basic rules
Intellectual skills
Understand and apply statistics and calculus to solve applied chemical engineering and realworld problems.
Practical skills
Use L'Hospital's rule to evaluate certain indefinite forms.
Differentiate functions of one or more variables
Expand functions in series form
Manipulate partial derivatives
Obtain numerical solutions to problems in some important engineering subject areas
Transferable skills and personal qualities
Apply mathematical skills to solve relevant engineering problems.
Develop the ability to apply and transfer the basic methods and the acquired skills and knowledge in present and future contexts.
Assessment Further Information
Assessment task 
Length 
Weighting within unit (if relevant) 
Coursework (Diagnostic followup and online assessment)
Examination 

1.5 hours 
20%
80%

Recommended reading
Stroud, K. and Booth, D. (2003). Engineering mathematics. Basingstoke [u.a.]: Palgrave.
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
Denn, M. (2012). Chemical engineering. Cambridge: Cambridge University Press.
Albright, L. (2009). Albright's chemical engineering handbook. Estados Unidos: Taylor & Francis Group, LLC.
Study hours
 Lectures  16 hours
 Tutorials  8 hours
 Independent study hours  76 hours
Teaching staff
Patricia Scully  Unit coordinatorAbdullatif Alfutimie  Unit coordinator