Engineering Mathematics 2

CHEN10072 Engineering Mathematics 2 10 Semester 2 Undergraduate Level 1 Steven Broom Unit coordinator 1 FHEQ level (Framework for Higher Education Qualifications) ' First part HE study/Bachelors ' European Credit Transfer & Accumulation System Rating : 5.0 Matrices and algebraic properties. Definition of determinant and properties. Identity, diagonal, transpose, upper/lower triangular and inverse matrices.  Solving systems of linear equations through Gaussian Elimination. Solving systems of nonlinear equations using the Newton-Raphson method.  First order ordinary differential equations (ODEs). Analytical solution by separation of variables and by the integrating factor.  Laplace transforms. Transforms and inverse transforms of functions. Transforms of derivatives. Application to solution of ordinary differential equations.  Numerical solution of ODEs and systems of ODEs using Euler and Runge-Kutta Methods. Matrices and algebraic properties. Definition of determinant and properties. Identity, diagonal, transpose, upper/lower triangular and inverse matrices.  Solving systems of linear equations through Gaussian Elimination. Solving systems of nonlinear equations using the Newton-Raphson method.  First order ordinary differential equations (ODEs). Analytical solution by separation of variables and by the integrating factor.  Laplace transforms. Transforms and inverse transforms of functions. Transforms of derivatives. Application to solution of ordinary differential equations.  Numerical solution of ODEs and systems of ODEs using Euler and Runge-Kutta Methods. <div> The unit aims to:Provide the background mathematics and IT skills required for subsequent chemical engineering courses in mathematically oriented topics. Engineering applications are to be introduced where relevant.</div>   <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;">On successful completion of CHEN10072, a student will be able to… (1) <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;">Apply basic methods to perform routine calculations using the syllabus topics. (2) Implement numerical methods computationally to solve nonlinear problems and systems of nonlinear problems. (3) Develop critical thinking around the application of techniques in a Chemical Engineering context and in relation to syllabus. (4) Recall definitions and facts relevant to syllabus topics. (5) Apply the methods mentioned in the syllabus topics in order to carry out quantitative problem-solving. Teaching ActivitiesLecture - 24 hours Assessment (Revision/Preparation) - 32 hours Independent Study - 44 hours 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">Assessment Types</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">Total Weighting</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">80%</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">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">20%</td></tr></tbody></table></figure> BEng(Hons) Chem Eng BEng(Hons) Chemical Engineerin First Year Mandatory MEng (Hons) Chem Eng MEng Chemical Engineering First Year Mandatory MEng (Hons) Chem Eng w I E MEng (Hons) Chem Eng w I E First Year Mandatory MEng (Hons) Chem Eng w SIE MEng Chem Eng w SIE First Year Mandatory MEng (Hons) Chem Eng w Bio MEng Chem Eng with Biotech First Year Mandatory MEng (Hons) Chem Eng w Chem MEng (Hons) Chem Eng w Chem First Year Mandatory MEng (Hons) Chem w Env. Tech MEng Chem Eng w Env. Tech First Year Mandatory MEng (Hons) Chem Eng w BM MEng Chem Eng w BM First Year Mandatory MEng Chem Eng w Energy & Env MEng Chem Eng with Energy First Year Mandatory N <div>Reading lists are accessible through the Blackboard system linked to the library catalogue.</div> Assessment written exam 32 Lectures 24 0 44