{"title":"Vectors and Geometrical Applications","authors":"K. Khan, T. Graham","doi":"10.1201/9781315104270-3","DOIUrl":"https://doi.org/10.1201/9781315104270-3","url":null,"abstract":"","PeriodicalId":154768,"journal":{"name":"Engineering Mathematics with Applications to Fire Engineering","volume":"136 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116139533","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Complex Numbers","authors":"K. Khan, T. Graham","doi":"10.1201/9781315104270-5","DOIUrl":"https://doi.org/10.1201/9781315104270-5","url":null,"abstract":"","PeriodicalId":154768,"journal":{"name":"Engineering Mathematics with Applications to Fire Engineering","volume":"213 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122812143","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Review of Basic Concepts","authors":"K. Khan, T. Graham","doi":"10.1201/9781315104270-1","DOIUrl":"https://doi.org/10.1201/9781315104270-1","url":null,"abstract":"","PeriodicalId":154768,"journal":{"name":"Engineering Mathematics with Applications to Fire Engineering","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121015601","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Ordinary Linear Differential Equations","authors":"K. Khan, T. Graham","doi":"10.1201/9781315104270-7","DOIUrl":"https://doi.org/10.1201/9781315104270-7","url":null,"abstract":"","PeriodicalId":154768,"journal":{"name":"Engineering Mathematics with Applications to Fire Engineering","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124427037","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fourier Series and Fourier Transforms","authors":"K. Khan, T. Graham","doi":"10.1201/9781315104270-9","DOIUrl":"https://doi.org/10.1201/9781315104270-9","url":null,"abstract":"","PeriodicalId":154768,"journal":{"name":"Engineering Mathematics with Applications to Fire Engineering","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115840687","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Laplace Transforms","authors":"K. Khan, T. Graham","doi":"10.1201/9781315104270-8","DOIUrl":"https://doi.org/10.1201/9781315104270-8","url":null,"abstract":"","PeriodicalId":154768,"journal":{"name":"Engineering Mathematics with Applications to Fire Engineering","volume":"57 48","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114060143","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Introduction to Calculus","authors":"K. Khan, T. Graham","doi":"10.1201/9781315104270-6","DOIUrl":"https://doi.org/10.1201/9781315104270-6","url":null,"abstract":"This article provides an overview and introduction to calculus. It’s intended for general readers, nonspecialists, and shows the topic’s key concepts in a transparent, approachable way. The article’s purpose is to help readers see that calculus is not only relatively easy to understand, but is a useful and accessible intellectual skill without which some aspects of the the modern world are indecipherable – population growth, space travel, climate change, epidemics and control of diseases, economic policy, investment strategies and others – all of which require a knowledge of how and why things change, the kind of knowledge calculus provides. Some familiarity with secondary school algebra is desirable to be able to follow most of the article’s content. Some new topics, such as functions, are introduced and explained before being used. The article includes tutorial exercises that show concepts without overwhelming the reader in detail, and covers related topics such as differential equations and computer algebra systems.","PeriodicalId":154768,"journal":{"name":"Engineering Mathematics with Applications to Fire Engineering","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122981109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Determinants and Matrices","authors":"K. Khan, T. Graham","doi":"10.1201/9781315104270-4","DOIUrl":"https://doi.org/10.1201/9781315104270-4","url":null,"abstract":"With the Advanced View of the Canvas Equation Editor, you can input more complicated mathematical text using LaTeX, like matrices, interval notation, and piecewise functions. In case you don’t have a lot of LaTeX experience, here are some tips for how to write LaTex for some commonly used mathematics. In addition to the Equation Editor, equations can be added manually in any Canvas area that includes a text field, such as the title of an assignment or in a calendar event. More tips can be found in the Basic View Tips PDF. Interval Notation (mixed parentheses and brackets) For interval notation using parentheses on both sides or brackets on both sides, you can use the basic view. Just type ( to get ( ) or [ to get [ ] in the editor. Left parenthesis left( infinity symbol infty Left bracket left[ negative infinity -infty Right parenthesis right) square root sqrt{ } Right bracket right] fraction frac{ }{ } Below are several examples that should help you construct the LaTeX for the interval notation you need.","PeriodicalId":154768,"journal":{"name":"Engineering Mathematics with Applications to Fire Engineering","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128558877","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}