Student Records
Programme & Unit Catalogues

## MA10192: Mathematics 1

Owning Department/School: Department of Mathematical Sciences
Credits: 6
Level: Certificate (FHEQ level 4)
Period: Semester 1
Assessment Summary: EX 100%
Assessment Detail:
• Examination (EX 100%)
Supplementary Assessment: MA10192 Mandatory extra work (where allowed by programme regulations)
Requisites:
Description: Aims & Learning Objectives:
To provide students with a basic introduction to the mathematical skills in calculus, functions of several variables and differential equations necessary to tackle process engineering design applications. After successfully completing this unit students should be able to use concepts, ideas and results from calculus, functions of several variables and differential equations in the context of relevant applications.

Content:

* Calculus: Limits, differentiation, integration. Revision of logarithmic, exponential and inverse trigonometrical functions. Revision of integration including polar and parametric co-ordinates, with applications.
* Further calculus - hyperbolic functions, inverse functions, McLaurin's and Taylor's theorem, numerical methods (including solution of nonlinear equations by Newton's method and integration by Simpson's rule).
* Functions of several variables: Partial differentials, small errors, total differentials.
* Differential equations: Solution of first order equations using separation of variables and integrating factor, linear equations with constant coefficients using trial method for particular integration.
Programme availability:

#### MA10192 is Compulsory on the following programmes:

Department of Chemical Engineering
• UECE-AFM01 : MEng(Hons) Biochemical Engineering (Year 1)
• UECE-AKM01 : MEng(Hons) Biochemical Engineering with Year long work placement (Year 1)
• UECE-AFB05 : BEng(Hons) Chemical Engineering (Year 1)
• UECE-AKB05 : BEng(Hons) Chemical Engineering with Year long work placement (Year 1)
• UECE-AFM05 : MEng(Hons) Chemical Engineering (Year 1)
• UECE-AKM05 : MEng(Hons) Chemical Engineering with Year long work placement (Year 1)

Notes:
* This unit catalogue is applicable for the 2015/16 academic year only. Students continuing their studies into 2016/17 and beyond should not assume that this unit will be available in future years in the format displayed here for 2015/16.
* Programmes and units are subject to change at any time, in accordance with normal University procedures.
* Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.