{"id":1436,"date":"2021-09-16T16:05:46","date_gmt":"2021-09-16T15:05:46","guid":{"rendered":"http:\/\/salfordphysics.com\/?page_id=1436"},"modified":"2022-09-05T15:14:26","modified_gmt":"2022-09-05T14:14:26","slug":"module-mathematics-and-computing","status":"publish","type":"page","link":"https:\/\/salfordphysics.com\/index.php\/module-mathematics-and-computing\/","title":{"rendered":"Module &#8211; Mathematics and Computing"},"content":{"rendered":"<p><strong>FHEQ Level:<\/strong> Level 4 (First Year)<br \/>\n<strong>Credits:<\/strong> 20<br \/>\n<strong>Module Code:<\/strong> F300 &#8212;&#8211;<br \/>\n<strong>Course Reference Number (CRN):<\/strong> 31140<br \/>\n<strong>Delivery:<\/strong> January Start, Trimester 2 (Short Fat)<\/p>\n<h4>Syllabus Outline<\/h4>\n<p><strong>Mathematics<\/strong>:<br \/>\n&#8211; Further Integration<br \/>\n&#8211; Ordinary Differential Equations: First Order Equations; Second Order Equations;<br \/>\nApplications to Simple Physical Systems<br \/>\n&#8211; Series: Notions of Convergence; Taylor and Maclaurin Series Expansions; Power Series; Fourier Series<br \/>\n<strong>Computing<\/strong>:<br \/>\n&#8211; Introduction to Python programming<br \/>\n&#8211; Applications in Algebra, Equations, Calculus and ODE&#8217;s<br \/>\n&#8211; Application in Series and Fourier Series<\/p>\n<h4>Assessment<\/h4>\n<p>Coursework: Assignment 1 &#8211; Mathematics, 50%<br \/>\nCoursework: Assignment 2 &#8211; Computing, 50%<\/p>\n<h4>Texts<\/h4>\n<p>Engineering Mathematics \u2013 K.A. Stroud and D.J. Booth (8th Edition) MacMillan (2020)<\/p>\n<p>Understanding Pure Mathematics &#8211; A.J. Thorning, D.W.S., Oxford, Oxford University Press, 1987<\/p>\n<p>Further updates and supplementary texts may be found in the <a href=\"https:\/\/www.salford.ac.uk\/library\/find-resources\/reading-lists\/reading-lists-students\">University Reading Lists<\/a> system.<\/p>\n<h4>Description<\/h4>\n<p>You will learn core mathematics and computing techniques essential to physics and engineering. Topics include: ordinary differential equations, series (of constants, power and Fourier), simulation, and programming. The module is taught through a combination of lectures, problem tutorial, and computer classes.<\/p>\n<h4>Aims<\/h4>\n<p>1.\u00a0 To develop a knowledge and understanding in the area of mathematics including the origin and limitations of the associated principles.<br \/>\n2.\u00a0 To develop analytical and numerical problem solving skills in the area of mathematics.<br \/>\n3.\u00a0 To develop computing skills in the areas of symbolic computing and programing.<\/p>\n<h4>Knowledge &amp; Understanding<\/h4>\n<p>On successful completion of this module, you will be able to:<br \/>\n(1) Demonstrate an understanding of the principles and their origins in the area of mathematics.<br \/>\n(2) Demonstrate competence in the specification of problems using the principles of mathematics and their analytical, computational and numerical solution.<\/p>\n<p>On completion the student will have had the opportunity to:<br \/>\n(3) Demonstrate problem solving skills.<br \/>\n(4) Demonstrate key analytical and numerical skills.<br \/>\n(5) Demonstrate key computing skills.<\/p>\n<h4>Learning, Teaching and Assessment<\/h4>\n<p>The module is taught through a combination of lectures, tutorial classes and computing laboratory. The assessments are a combination of class test and computing assignments.<br \/>\nA set of problem solving exercises is provided for guided independent learning, which forms the basis of formative assessment and feedback in the tutorial classes.<br \/>\nVerbal feedback is given in the computing laboratory for both formative and summative assessment.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>FHEQ Level: Level 4 (First Year) Credits: 20 Module Code: F300 &#8212;&#8211; Course Reference Number (CRN): 31140 Delivery: January Start, Trimester 2 (Short Fat) Syllabus Outline Mathematics: &#8211; Further Integration &#8211; Ordinary Differential Equations: First Order Equations; Second Order Equations; Applications to Simple Physical Systems &#8211; Series: Notions of Convergence; Taylor and Maclaurin Series Expansions; &hellip; <a href=\"https:\/\/salfordphysics.com\/index.php\/module-mathematics-and-computing\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Module &#8211; Mathematics and Computing<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1436","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/pages\/1436","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/comments?post=1436"}],"version-history":[{"count":3,"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/pages\/1436\/revisions"}],"predecessor-version":[{"id":1877,"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/pages\/1436\/revisions\/1877"}],"wp:attachment":[{"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/media?parent=1436"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}