{"id":17,"date":"2019-05-29T15:04:48","date_gmt":"2019-05-29T19:04:48","guid":{"rendered":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/front-matter\/introduction\/"},"modified":"2024-01-04T09:47:58","modified_gmt":"2024-01-04T14:47:58","slug":"introduction","status":"publish","type":"front-matter","link":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/front-matter\/introduction\/","title":{"raw":"Introduction","rendered":"Introduction"},"content":{"raw":"<h1>Introduction<\/h1>\r\nThis textbook was created to support the study of key mathematical concepts and skills among future occupational and public health professionals. Specifically, it contains material adapted from multiple existing resources on college- and university-level mathematics. The primary intended use of the textbook is for the course POH103 \"Data Management\" at Toronto Metropolitan University (TMU), but it could be used or adapted to other settings.\r\n\r\nThe material is designed for first-year undergraduate occupational and public health students with different backgrounds in mathematics. The material is intended to prepare students for more advanced quantitative courses in biostatistics, epidemiology, and risk assessment, among others.\r\n\r\n<span>The textbook consists of seven chapters, each focusing on a major topic in mathematics. The material is presented in a specific order, starting with fundamental mathematics such as an algebra review, followed by a discussion of linear equations. It then progresses to different types of functions, followed by an exploration of sets and counting, and finally, it looks at probability.<\/span>\r\n<ul>\r\n \t<li><span>Chapter 1: Algebra Review<\/span><\/li>\r\n \t<li><span>Chapter 2: Linear Equations and Graphs <\/span><\/li>\r\n \t<li><span>Chapter 3: Introduction to Functions<\/span><\/li>\r\n \t<li><span>Chapter 4: Exponential and Logarithmic Functions<\/span><\/li>\r\n \t<li><span>Chapter 5: Sets and Counting<\/span><\/li>\r\n \t<li><span>Chapter 6: Probability - Part 1<\/span><\/li>\r\n \t<li><span>Chapter 7: Probability - Part 2<\/span><\/li>\r\n<\/ul>\r\n<span>The textbook follows a standard chapter format. It begins with a summary of terms and formulas. Each chapter comprises subsections, each of which addresses specific topics and elucidates concepts with various examples. At the end of each subsection, there are practice questions provided to facilitate the application of learned concepts. Key terms are highlighted in bold within the text, and their definitions or respective formulas are provided in textboxes to reinforce comprehension. Additionally, each chapter concludes with final answers to short practice questions.<\/span>\r\n<div class=\"flex-1 overflow-hidden\">\r\n<div class=\"react-scroll-to-bottom--css-clwwt-79elbk h-full\">\r\n<div class=\"react-scroll-to-bottom--css-clwwt-1n7m0yu\">\r\n<div class=\"flex flex-col pb-9 text-sm\">\r\n<div class=\"w-full text-token-text-primary\" data-testid=\"conversation-turn-21\">\r\n<div class=\"px-4 py-2 justify-center text-base md:gap-6 m-auto\">\r\n<div class=\"flex flex-1 text-base mx-auto gap-3 md:px-5 lg:px-1 xl:px-5 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem] group final-completion\">\r\n<div class=\"relative flex w-full flex-col lg:w-[calc(100%-115px)] agent-turn\">\r\n<div class=\"flex-col gap-1 md:gap-3\">\r\n<div class=\"flex flex-grow flex-col max-w-full\">\r\n<div data-message-author-role=\"assistant\" data-message-id=\"9b608e79-55d8-430e-85d3-3084592eee58\" class=\"min-h-[20px] text-message flex flex-col items-start gap-3 whitespace-pre-wrap break-words [.text-message+&amp;]:mt-5 overflow-x-auto\">\r\n<div class=\"markdown prose w-full break-words dark:prose-invert light\">\r\nThe second edition of this textbook contains updated material, including the following:\r\n<ul>\r\n \t<li>As the \"combinations\" formula explained in Chapter 5 is used in Chapters 6 and 7, reminders including the \"combinations\" formula, were added where this formula is used for the first time in Chapters 6 and 7 to aid the reader while studying these chapters.<\/li>\r\n \t<li>A summary of <a href=\"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/front-matter\/terms-and-formulas\/\">terms and formulas<\/a> was added at the beginning of the textbook as a quick reference guide for the reader.<\/li>\r\n \t<li>The name of the university was changed from \"Ryerson University\" to \"Toronto Metropolitan University\" throughout the textbook.<\/li>\r\n \t<li>To ensure accuracy and proper appearance in the textbook for the reader, <span>we thoroughly reviewed the entire textbook and edited certain final answers in examples (e.g., example 4.2.10) and tree diagrams (e.g., example 7.3.5).<\/span><\/li>\r\n<\/ul>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"mt-1 flex justify-start gap-3 empty:hidden\"><\/div>\r\n<\/div>\r\n<div class=\"absolute\">\r\n<div class=\"flex w-full gap-2 items-center justify-center\"><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"w-full pt-2 md:pt-0 dark:border-white\/20 md:border-transparent md:dark:border-transparent md:w-[calc(100%-.5rem)]\">\r\n<div class=\"relative flex h-full flex-1 items-stretch md:flex-col\">\r\n<div class=\"flex w-full items-center\">\r\n<div class=\"overflow-hidden [&amp;:has(textarea:focus)]:border-token-border-xheavy [&amp;:has(textarea:focus)]:shadow-[0_2px_6px_rgba(0,0,0,.05)] flex flex-col w-full dark:border-token-border-heavy flex-grow relative border border-token-border-heavy dark:text-white rounded-2xl bg-white dark:bg-gray-800 shadow-[0_0_0_2px_rgba(255,255,255,0.95)] dark:shadow-[0_0_0_2px_rgba(52,53,65,0.95)]\">\r\n<div data-grammarly-part=\"button\">\r\n<div>\r\n<div>\r\n<div class=\"amkYk\">\r\n<div>\r\n<div class=\"ptGJG\"><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>","rendered":"<h1>Introduction<\/h1>\n<p>This textbook was created to support the study of key mathematical concepts and skills among future occupational and public health professionals. Specifically, it contains material adapted from multiple existing resources on college- and university-level mathematics. The primary intended use of the textbook is for the course POH103 &#8220;Data Management&#8221; at Toronto Metropolitan University (TMU), but it could be used or adapted to other settings.<\/p>\n<p>The material is designed for first-year undergraduate occupational and public health students with different backgrounds in mathematics. The material is intended to prepare students for more advanced quantitative courses in biostatistics, epidemiology, and risk assessment, among others.<\/p>\n<p><span>The textbook consists of seven chapters, each focusing on a major topic in mathematics. The material is presented in a specific order, starting with fundamental mathematics such as an algebra review, followed by a discussion of linear equations. It then progresses to different types of functions, followed by an exploration of sets and counting, and finally, it looks at probability.<\/span><\/p>\n<ul>\n<li><span>Chapter 1: Algebra Review<\/span><\/li>\n<li><span>Chapter 2: Linear Equations and Graphs <\/span><\/li>\n<li><span>Chapter 3: Introduction to Functions<\/span><\/li>\n<li><span>Chapter 4: Exponential and Logarithmic Functions<\/span><\/li>\n<li><span>Chapter 5: Sets and Counting<\/span><\/li>\n<li><span>Chapter 6: Probability &#8211; Part 1<\/span><\/li>\n<li><span>Chapter 7: Probability &#8211; Part 2<\/span><\/li>\n<\/ul>\n<p><span>The textbook follows a standard chapter format. It begins with a summary of terms and formulas. Each chapter comprises subsections, each of which addresses specific topics and elucidates concepts with various examples. At the end of each subsection, there are practice questions provided to facilitate the application of learned concepts. Key terms are highlighted in bold within the text, and their definitions or respective formulas are provided in textboxes to reinforce comprehension. Additionally, each chapter concludes with final answers to short practice questions.<\/span><\/p>\n<div class=\"flex-1 overflow-hidden\">\n<div class=\"react-scroll-to-bottom--css-clwwt-79elbk h-full\">\n<div class=\"react-scroll-to-bottom--css-clwwt-1n7m0yu\">\n<div class=\"flex flex-col pb-9 text-sm\">\n<div class=\"w-full text-token-text-primary\" data-testid=\"conversation-turn-21\">\n<div class=\"px-4 py-2 justify-center text-base md:gap-6 m-auto\">\n<div class=\"flex flex-1 text-base mx-auto gap-3 md:px-5 lg:px-1 xl:px-5 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem] group final-completion\">\n<div class=\"relative flex w-full flex-col lg:w-[calc(100%-115px)] agent-turn\">\n<div class=\"flex-col gap-1 md:gap-3\">\n<div class=\"flex flex-grow flex-col max-w-full\">\n<div data-message-author-role=\"assistant\" data-message-id=\"9b608e79-55d8-430e-85d3-3084592eee58\" class=\"min-h-[20px] text-message flex flex-col items-start gap-3 whitespace-pre-wrap break-words [.text-message+&amp;]:mt-5 overflow-x-auto\">\n<div class=\"markdown prose w-full break-words dark:prose-invert light\">\nThe second edition of this textbook contains updated material, including the following:<\/p>\n<ul>\n<li>As the &#8220;combinations&#8221; formula explained in Chapter 5 is used in Chapters 6 and 7, reminders including the &#8220;combinations&#8221; formula, were added where this formula is used for the first time in Chapters 6 and 7 to aid the reader while studying these chapters.<\/li>\n<li>A summary of <a href=\"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/front-matter\/terms-and-formulas\/\">terms and formulas<\/a> was added at the beginning of the textbook as a quick reference guide for the reader.<\/li>\n<li>The name of the university was changed from &#8220;Ryerson University&#8221; to &#8220;Toronto Metropolitan University&#8221; throughout the textbook.<\/li>\n<li>To ensure accuracy and proper appearance in the textbook for the reader, <span>we thoroughly reviewed the entire textbook and edited certain final answers in examples (e.g., example 4.2.10) and tree diagrams (e.g., example 7.3.5).<\/span><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"mt-1 flex justify-start gap-3 empty:hidden\"><\/div>\n<\/div>\n<div class=\"absolute\">\n<div class=\"flex w-full gap-2 items-center justify-center\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"w-full pt-2 md:pt-0 dark:border-white\/20 md:border-transparent md:dark:border-transparent md:w-[calc(100%-.5rem)]\">\n<div class=\"relative flex h-full flex-1 items-stretch md:flex-col\">\n<div class=\"flex w-full items-center\">\n<div class=\"overflow-hidden [&amp;:has(textarea:focus)]:border-token-border-xheavy [&amp;:has(textarea:focus)]:shadow-[0_2px_6px_rgba(0,0,0,.05)] flex flex-col w-full dark:border-token-border-heavy flex-grow relative border border-token-border-heavy dark:text-white rounded-2xl bg-white dark:bg-gray-800 shadow-[0_0_0_2px_rgba(255,255,255,0.95)] dark:shadow-[0_0_0_2px_rgba(52,53,65,0.95)]\">\n<div data-grammarly-part=\"button\">\n<div>\n<div>\n<div class=\"amkYk\">\n<div>\n<div class=\"ptGJG\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"author":2,"menu_order":1,"template":"","meta":{"pb_show_title":"","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"front-matter-type":[12],"contributor":[],"license":[],"class_list":["post-17","front-matter","type-front-matter","status-publish","hentry","front-matter-type-introduction"],"_links":{"self":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/front-matter\/17","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/front-matter"}],"about":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/wp\/v2\/types\/front-matter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/wp\/v2\/users\/2"}],"version-history":[{"count":9,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/front-matter\/17\/revisions"}],"predecessor-version":[{"id":229,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/front-matter\/17\/revisions\/229"}],"metadata":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/front-matter\/17\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/wp\/v2\/media?parent=17"}],"wp:term":[{"taxonomy":"front-matter-type","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/front-matter-type?post=17"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/wp\/v2\/contributor?post=17"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/wp\/v2\/license?post=17"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}