{"id":1409,"date":"2023-02-15T11:53:39","date_gmt":"2023-02-15T19:53:39","guid":{"rendered":"https:\/\/dornsife.usc.edu\/mathematics\/?page_id=1409"},"modified":"2024-07-15T15:10:06","modified_gmt":"2024-07-15T22:10:06","slug":"math-117-introduction-to-mathematics-for-business-and-economics","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/mathematics\/math-117-introduction-to-mathematics-for-business-and-economics\/","title":{"rendered":"MATH 117 –\u00a0Precalculus for Business and Economics"},"content":{"rendered":"\n\n \n \n\n\n\n\n\n\n\n
\n\n \n \n
\n\n \n

RECOMMENDED TEXTBOOK<\/strong><\/p>\n

Stitz and Zeager, Precalculus (3rd ed.) – Available free online<\/a><\/p>\n

 <\/p>\n

SECTION COVERAGE<\/strong><\/p>\n

The following table lists the minimum<\/em> set of topics to be included in this course.\u00a0 The number of lectures listed for each chapter is only a suggestion and will vary across instructors and semesters.<\/p>\n

There are typically 42-43 lecture days in a semester, so lecture periods are available for exams.<\/p>\n\n\n\n\n\n\n\n\n\n\n\n
Sections<\/strong><\/td>\nTopics<\/strong><\/td>\nLectures<\/strong><\/td>\n<\/tr>\n
1.1-1.7<\/td>\nRelations, Graphs, and Functions<\/td>\n6<\/td>\n<\/tr>\n
2.1 \u2013 2.5<\/td>\nLinear and Quadratic Functions<\/td>\n5<\/td>\n<\/tr>\n
3.1 \u2013 3.4<\/td>\nPolynomial Functions<\/td>\n6<\/td>\n<\/tr>\n
4.1 \u2013 4.3<\/td>\nRational Functions<\/td>\n4<\/td>\n<\/tr>\n
5.1 \u2013 5.2<\/td>\nFunction Composition and Inverse Functions<\/td>\n4<\/td>\n<\/tr>\n
6.1 \u2013 6.5<\/td>\nExponential and Logarithmic Functions<\/td>\n6<\/td>\n<\/tr>\n
8.1 \u2013 8.5<\/td>\nSystems of Equations and Matrices<\/td>\n7<\/td>\n<\/tr>\n
<\/td>\nTotal<\/td>\n39<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

OPTIONAL TOPICS (time permitting)<\/strong><\/p>\n

    \n
  • Sections 9.1-9.3 on sequences, summation, induction, and counting<\/li>\n
  • Other outside topics, readings, videos, or materials the Instructor deems relevant<\/li>\n<\/ul>\n

     <\/p>\n

    MEASURABLE OBJECTIVES<\/strong><\/p>\n

      \n
    1. Students can interpret and use mathematical notation and vocabulary related to the concepts of a function and the graph of a function.<\/li>\n
    2. Students can compose functions, invert functions, and interpret relationships between inverse functions via composition.<\/li>\n
    3. Students can identify shifts, stretches, and compressions of a function via its graph and its defining formula.<\/li>\n
    4. Students can write and graph linear functions and solve linear equations.<\/li>\n
    5. Students can use data to find and interpret a linear relationship between quantities in a given context.<\/li>\n
    6. Students can write and graph quadratic functions in various forms, and find their vertices and roots.<\/li>\n
    7. Students can recognize the shape of a power function’s graph based on its exponent, and model various phenomena with power functions.<\/li>\n
    8. Students can write and graph polynomial functions, identify their end behavior, and use technology to find their local extrema.<\/li>\n
    9. Students can find real zeros of polynomial functions by hand and using technology.<\/li>\n
    10. Students can write and graph rational functions, and find their domains, zeros, and asymptotes.<\/li>\n
    11. Students can write and graph functions representing both exponential growth and exponential decay.<\/li>\n
    12. Students can define a logarithm, graph logarithmic functions, and use the properties of logarithms to simplify logarithmic expressions.<\/li>\n
    13. Students can solve exponential equations and use data to find and interpret an exponential relationship between quantities in context.<\/li>\n
    14. Students can identify inconsistent systems of linear equations, and solve independent and dependent systems of linear equations using Gaussian elimination.<\/li>\n
    15. Students can multiply matrices, find matrix inverses, and use matrix inverses to solve systems of linear equations.<\/li>\n<\/ol>\n\n\n\n<\/div>\n\n\n <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":328,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-1409","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"\nMATH 117 -\u00a0Precalculus for Business and Economics - Department of Mathematics<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/dornsife.usc.edu\/mathematics\/math-117-introduction-to-mathematics-for-business-and-economics\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"MATH 117 -\u00a0Precalculus for Business and Economics - Department of Mathematics\" \/>\n<meta property=\"og:url\" content=\"https:\/\/dornsife.usc.edu\/mathematics\/math-117-introduction-to-mathematics-for-business-and-economics\/\" \/>\n<meta property=\"og:site_name\" content=\"Department of Mathematics\" \/>\n<meta property=\"article:modified_time\" content=\"2024-07-15T22:10:06+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/dornsife.usc.edu\/mathematics\/math-117-introduction-to-mathematics-for-business-and-economics\/\",\"url\":\"https:\/\/dornsife.usc.edu\/mathematics\/math-117-introduction-to-mathematics-for-business-and-economics\/\",\"name\":\"MATH 117 -\u00a0Precalculus for Business and Economics - Department of Mathematics\",\"isPartOf\":{\"@id\":\"https:\/\/dornsife.usc.edu\/mathematics\/#website\"},\"datePublished\":\"2023-02-15T19:53:39+00:00\",\"dateModified\":\"2024-07-15T22:10:06+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/dornsife.usc.edu\/mathematics\/math-117-introduction-to-mathematics-for-business-and-economics\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/dornsife.usc.edu\/mathematics\/math-117-introduction-to-mathematics-for-business-and-economics\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/dornsife.usc.edu\/mathematics\/math-117-introduction-to-mathematics-for-business-and-economics\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/dornsife.usc.edu\/mathematics\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"MATH 117 –\u00a0Precalculus for Business and Economics\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/dornsife.usc.edu\/mathematics\/#website\",\"url\":\"https:\/\/dornsife.usc.edu\/mathematics\/\",\"name\":\"Department of Mathematics\",\"description\":\"USC Dornsife Department of Mathematics\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/dornsife.usc.edu\/mathematics\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"MATH 117 -\u00a0Precalculus for Business and Economics - Department of Mathematics","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/dornsife.usc.edu\/mathematics\/math-117-introduction-to-mathematics-for-business-and-economics\/","og_locale":"en_US","og_type":"article","og_title":"MATH 117 -\u00a0Precalculus for Business and Economics - Department of Mathematics","og_url":"https:\/\/dornsife.usc.edu\/mathematics\/math-117-introduction-to-mathematics-for-business-and-economics\/","og_site_name":"Department of Mathematics","article_modified_time":"2024-07-15T22:10:06+00:00","twitter_card":"summary_large_image","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/dornsife.usc.edu\/mathematics\/math-117-introduction-to-mathematics-for-business-and-economics\/","url":"https:\/\/dornsife.usc.edu\/mathematics\/math-117-introduction-to-mathematics-for-business-and-economics\/","name":"MATH 117 -\u00a0Precalculus for Business and Economics - Department of Mathematics","isPartOf":{"@id":"https:\/\/dornsife.usc.edu\/mathematics\/#website"},"datePublished":"2023-02-15T19:53:39+00:00","dateModified":"2024-07-15T22:10:06+00:00","breadcrumb":{"@id":"https:\/\/dornsife.usc.edu\/mathematics\/math-117-introduction-to-mathematics-for-business-and-economics\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/dornsife.usc.edu\/mathematics\/math-117-introduction-to-mathematics-for-business-and-economics\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/dornsife.usc.edu\/mathematics\/math-117-introduction-to-mathematics-for-business-and-economics\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/dornsife.usc.edu\/mathematics\/"},{"@type":"ListItem","position":2,"name":"MATH 117 –\u00a0Precalculus for Business and Economics"}]},{"@type":"WebSite","@id":"https:\/\/dornsife.usc.edu\/mathematics\/#website","url":"https:\/\/dornsife.usc.edu\/mathematics\/","name":"Department of Mathematics","description":"USC Dornsife Department of Mathematics","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/dornsife.usc.edu\/mathematics\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/dornsife.usc.edu\/mathematics\/wp-json\/wp\/v2\/pages\/1409","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dornsife.usc.edu\/mathematics\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/dornsife.usc.edu\/mathematics\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/dornsife.usc.edu\/mathematics\/wp-json\/wp\/v2\/users\/328"}],"replies":[{"embeddable":true,"href":"https:\/\/dornsife.usc.edu\/mathematics\/wp-json\/wp\/v2\/comments?post=1409"}],"version-history":[{"count":31,"href":"https:\/\/dornsife.usc.edu\/mathematics\/wp-json\/wp\/v2\/pages\/1409\/revisions"}],"predecessor-version":[{"id":6657,"href":"https:\/\/dornsife.usc.edu\/mathematics\/wp-json\/wp\/v2\/pages\/1409\/revisions\/6657"}],"wp:attachment":[{"href":"https:\/\/dornsife.usc.edu\/mathematics\/wp-json\/wp\/v2\/media?parent=1409"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}