CHEN20041
Engineering Mathematics 3
10
Semester 1
Undergraduate
Level 2
Samuel De Visser
Unit coordinator
1
FHEQ level (Framework for Higher Education Qualifications) ' Middle part of Bachelors '
European Credit Transfer & Accumulation System Rating : 5.0
<div><ul> <li>First-, second- and higher-order ordinary differential equations.</li> <li>Role of initial and boundary conditions.</li> <li>A range of solutions to first-, second- and higher-order differential equations will be covered with and without constant coefficients.</li> <li>Application of differential equations to Physical and Chemical Engineering examples.</li> <li>Partial differential equations.</li> <li>Characterization of solutions.</li> <li>Double and triple integrals and their applications for calculating surface areas and volumes.</li> <li>Cartesian, polar and spherical coordinates.</li> <li>Converting integrals from Cartesian to polar or spherical coordinates.</li> <li>Complex integrals and their solutions.</li> <li>Gamma and Beta functions.</li></ul></div><p> </p>
<div><div><ul> <li>First-, second- and higher-order ordinary differential equations.</li> <li>Role of initial and boundary conditions.</li> <li>A range of solutions to first-, second- and higher-order differential equations will be covered with and without constant coefficients.</li> <li>Application of differential equations to Physical and Chemical Engineering examples.</li> <li>Partial differential equations.</li> <li>Characterization of solutions.</li> <li>Double and triple integrals and their applications for calculating surface areas and volumes.</li> <li>Cartesian, polar and spherical coordinates.</li> <li>Converting integrals from Cartesian to polar or spherical coordinates.</li> <li>Complex integrals and their solutions.</li> <li>Gamma and Beta functions.</li></ul></div></div><p> </p>
<div> <div> <p><em>The unit aims to:</em></p><p>Provide an introduction to the methods of integration and solution of ordinary differential equation systems arising from the mathematical modelling of chemical engineering applications.</p></div></div><p> </p>
<p><span style="background-color:rgb(249,250,251);color:rgba(0,0,0,0.87);"><span style="-webkit-text-stroke-width:0px;display:inline !important;float:none;font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;letter-spacing:normal;orphans:2;text-align:left;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;"><strong>On successful completion of CHEN20041, a student will be able to…</strong> (1) </span></span><span style="background-color:rgb(255,255,255);color:rgba(0,0,0,0.87);"><span style="-webkit-text-stroke-width:0px;display:inline !important;float:none;font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;orphans:2;text-align:left;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;">Compare different methods and select a suitable method for solving differential equations or integrals. (2) Apply the ideas and concepts to systems of differential equations. (3) Explain how both differential equations and integration can arise in the process of setting up mathematical models. (4) Apply techniques and find appropriate solutions of a differential equation or integral equation. (5) Apply techniques of differential equations and integration to a chemical engineering problem. (6) Set-up differential equations or integrals to solve a chemical engineering problem. (7) Understand the limitation of solutions arising from the calculations.</span></span></p>
<p><strong><u>Teaching Activities</u></strong></p><p>Workshop - 16 hours<br/>Assessment (Exam) - 50 hours<br/>Assessment (Coursework) - 10 hours<br/>Independent Study - 24 hours</p>
0
Other
100%
<figure class="table"><table class="Table" style="border-collapse:collapse;border:1.0pt solid windowtext;" width="0"><tbody><tr><td style="border:1.0pt solid windowtext;padding:0cm 5.4pt;vertical-align:top;width:276.2pt;" width="368"><p style="text-align:center;">Assessment Types</p></td><td style="border-bottom-style:solid;border-color:windowtext;border-left-style:none;border-right-style:solid;border-top-style:solid;border-width:1.0pt;padding:0cm 5.4pt;vertical-align:top;width:184.25pt;" width="246"><p style="text-align:center;">Total Weighting</p></td></tr><tr><td style="border-bottom-style:solid;border-color:windowtext;border-left-style:solid;border-right-style:solid;border-top-style:none;border-width:1.0pt;padding:0cm 5.4pt;vertical-align:top;width:276.2pt;" width="368">In-class test</td><td style="border-bottom:1.0pt solid windowtext;border-left-style:none;border-right:1.0pt solid windowtext;border-top-style:none;padding:0cm 5.4pt;vertical-align:top;width:184.25pt;" width="246"><p style="text-align:center;">20%</p></td></tr><tr><td style="border-bottom-style:solid;border-color:windowtext;border-left-style:solid;border-right-style:solid;border-top-style:none;border-width:1.0pt;padding:0cm 5.4pt;vertical-align:top;width:276.2pt;" width="368">Exam</td><td style="border-bottom:1.0pt solid windowtext;border-left-style:none;border-right:1.0pt solid windowtext;border-top-style:none;padding:0cm 5.4pt;vertical-align:top;width:184.25pt;" width="246"><p style="text-align:center;">80%</p></td></tr></tbody></table></figure>
CHEN10011
Engineering Mathematics 1
Pre-Requisite
Compulsory
CHEN10072
Engineering Mathematics 2
Pre-Requisite
Compulsory
<p> </p><p> </p>
BEng(Hons) Chem Eng
BEng(Hons) Chemical Engineerin
Second Year
Mandatory
MEng (Hons) Chem Eng
MEng Chemical Engineering
Second Year
Mandatory
MEng (Hons) Chem Eng w I E
MEng (Hons) Chem Eng w I E
Second Year
Mandatory
MEng (Hons) Chem Eng w SIE
MEng Chem Eng w SIE
Second Year
Mandatory
MEng (Hons) Chem Eng w Bio
MEng Chem Eng with Biotech
Second Year
Mandatory
MEng (Hons) Chem Eng w Chem
MEng (Hons) Chem Eng w Chem
Second Year
Mandatory
MEng (Hons) Chem w Env. Tech
MEng Chem Eng w Env. Tech
Second Year
Mandatory
MEng (Hons) Chem Eng w BM
MEng Chem Eng w BM
Second Year
Mandatory
MEng Chem Eng w Energy & Env
MEng Chem Eng with Energy
Second Year
Mandatory
N
<p>Reading lists are accessible through the Blackboard system linked to the library catalogue.</p>
Practical classes & workshops
16
0
24