{"id":976,"date":"2020-06-02T22:05:09","date_gmt":"2020-06-02T22:05:09","guid":{"rendered":"https:\/\/yc.yccd.edu\/stem\/?page_id=976"},"modified":"2023-12-01T19:52:06","modified_gmt":"2023-12-01T19:52:06","slug":"course-slos","status":"publish","type":"page","link":"https:\/\/yc.yccd.edu\/stem\/program\/mathematics-and-statistics\/course-slos\/","title":{"rendered":"Course SLOs"},"content":{"rendered":"<h3>Mathematics and Statistics Course SLOs<\/h3>\n<p>\u200bClick here for the <a href=\"#Program SLOs\">Program SLOs<\/a><\/p>\n<p><strong><a id=\"Math 1A\" name=\"Math 1A\"><\/a>Math 1A<\/strong> \u2013 At the conclusion of the course, students will be able to:<\/p>\n<ul>\n<li>Evaluate limits and use them to find derivatives.<\/li>\n<li>Evaluate derivatives and interpret derivatives as rates of change and\/or slopes of tangent lines.<\/li>\n<li>Solve applications that require differentiation such as applied optimization and related rates.<\/li>\n<li>Determine the behavior of a function from its derivatives.<\/li>\n<li>Evaluate integrals and interpret integrals as total changes and\/or bounded areas.<\/li>\n<li>Compose simple proofs.<\/li>\n<\/ul>\n<p><strong><a id=\"Math 1B\" name=\"Math 1B\"><\/a>Math 1B<\/strong> \u2013 At the conclusion of the course, students will be able to:<\/p>\n<ul>\n<li>Calculate derivatives and integrals of algebraic and transcendental functions.<\/li>\n<li>Determine the convergence or divergence of sequences and series.<\/li>\n<li>Demonstrate the ability to apply the appropriate technique to integration and to the determination of convergence of sequences and series.<\/li>\n<\/ul>\n<p><strong><a id=\"Math 1C\" name=\"Math 1C\"><\/a>Math 1C<\/strong> &#8211; At the conclusion of the course, students will be able to:<\/p>\n<ul>\n<li>Compute partial derivatives, the gradient and extrema of functions.<\/li>\n<li>Evaluate double and triple integrals.<\/li>\n<\/ul>\n<p><strong><a id=\"Math 2\" name=\"Math 2\"><\/a>Math 2<\/strong> &#8211; At the conclusion of the course, students will be able to:<\/p>\n<ul>\n<li>Classify\u00a0DEs\u00a0as linear, separable, homogeneous, exact, &amp;c.<\/li>\n<li>Solve nth-order linear differential equations.<\/li>\n<li>Solve ordinary differential equations by applying an appropriate technique.<\/li>\n<\/ul>\n<p><strong><a id=\"Math 3\" name=\"Math 3\"><\/a>Math 3<\/strong> &#8211; At the conclusion of the course, students will be able to:<\/p>\n<ul>\n<li>Solve a system of linear equations using matrix methods; Calculate eigenvalues and eigenvectors for a 3&#215;3 matrix.<\/li>\n<li>Formulate transformations between n-dimensional vector spaces.<\/li>\n<\/ul>\n<p><strong><a id=\"Math 9\" name=\"Math 9\"><\/a>Math 9<\/strong> &#8211; At the conclusion of the course, students will be able to:<\/p>\n<ul>\n<li>Graph a function using the first and second derivatives.<\/li>\n<li>Solve an application problem that involves the marginal cost, marginal profit, or marginal revenue.<\/li>\n<li>Solve an application problem that involves optimization.<\/li>\n<li>Find an equation of the tangent line to the graph of a function.<\/li>\n<li>Find the area bounded by the graphs of two functions.\u00a0 One of the functions may be\u00a0 f(x) = 0.<\/li>\n<li>Solve an application problem that involves integration.<\/li>\n<\/ul>\n<p><strong><a id=\"Math 10\" name=\"Math 10\"><\/a>Math 10<\/strong> \u2013 At the conclusion of the course, students will be able to:<\/p>\n<ul>\n<li>Demonstrate an understanding of a variety of mathematical ideas and systems.<\/li>\n<\/ul>\n<p><strong><a id=\"Math 15\" name=\"Math 15\"><\/a>Math 15<\/strong> \u2013 At the conclusion of the course, students will be able to:<\/p>\n<ul>\n<li>Demonstrate a depth of understanding of number systems.<\/li>\n<li>Demonstrate a depth of understanding of Polya&#8217;s method for problem solving.<\/li>\n<\/ul>\n<p><strong><a id=\"Math 16\" name=\"Math 16\"><\/a>Math 16<\/strong> \u2013\u00a0At the conclusion of the course, students will be able to:<\/p>\n<ul>\n<li>Students will demonstrate an understanding of geometric ideas, basic probability and statistics, and methods of problem solving.<\/li>\n<\/ul>\n<p><strong><a id=\"Math 20\" name=\"Math 20\"><\/a>Math 20<\/strong> &#8211; At the conclusion of the course, students will be able to:<\/p>\n<ul>\n<li>Solve an equation by applying a combination of methods<\/li>\n<li>Simplify a difference quotient<\/li>\n<li>Analyze a rational function<\/li>\n<li>Find the domain of a function<\/li>\n<li>Find the zeros of a polynomial<\/li>\n<\/ul>\n<p><strong><a id=\"Math 21\" name=\"Math 21\"><\/a>Math 21<\/strong> &#8211; At the conclusion of the course, students will be able to:<\/p>\n<ul>\n<li>Graph and analyze the graph of a trigonometric function<\/li>\n<li>Solve a trigonometric equation<\/li>\n<li>Solve an application problem involving right triangles<\/li>\n<li>Prove an identity<\/li>\n<li>Find the value of a trigonometric function of an unknown angle given the value of a different trigonometric function of that angle.<\/li>\n<\/ul>\n<p><strong><a id=\"Stat 1\" name=\"Stat 1\"><\/a>Stat 1<\/strong>\u00a0\u2013 At the conclusion of the course, students will be able to:<\/p>\n<ul>\n<li>Calculate and interpret measures of center and measures of dispersion for given data.<\/li>\n<li>Find probabilities for applications involving normal random variables.<\/li>\n<li>Construct and interpret a confidence interval for a population mean or proportion.<\/li>\n<li>Formulate decisions about rejection or failures to reject hypotheses based on data\/information provided.<\/li>\n<\/ul>\n<hr \/>\n<h3><a id=\"Program SLOs\" name=\"Program SLOs\"><\/a>Mathematics and Statistics Program SLOs<\/h3>\n<p>Computation 1: Solve equations and inequalities<\/p>\n<p>Computation 2: Perform operations on mathematical objects (e.g. numbers, expressions, functions, matrices).<\/p>\n<p>Computation 3: Graph equations, functions, and inequalities<\/p>\n<p>Critical Thinking 1: Solve applied problems using mathematical or statistical methods<\/p>\n<p>Critical Thinking 2: Prove identities and theorems<\/p>\n<p>Critical Thinking 3: Apply definitions, notation and properties of mathematical concepts<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mathematics and Statistics Course SLOs \u200bClick here for the Program SLOs Math 1A \u2013 At the conclusion of the course, students will be able to: Evaluate limits and use them to find derivatives. Evaluate derivatives and interpret derivatives as rates of change and\/or slopes of tangent lines. Solve applications that require differentiation such as applied optimization and related rates. Determine &#8230; <a href=\"https:\/\/yc.yccd.edu\/stem\/program\/mathematics-and-statistics\/course-slos\/\" class=\"more-link\">Read More<\/a><\/p>\n","protected":false},"author":4,"featured_media":0,"parent":721,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-layout-sidebar-content-sidebar.php","meta":{"_acf_changed":false,"footnotes":""},"folder":[],"coauthors":[14],"class_list":["post-976","page","type-page","status-publish","hentry","no-post-thumbnail"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Course SLOs - STEM &amp; Social Sciences<\/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:\/\/yc.yccd.edu\/stem\/program\/mathematics-and-statistics\/course-slos\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Course SLOs - STEM &amp; Social Sciences\" \/>\n<meta property=\"og:description\" content=\"Mathematics and Statistics Course SLOs \u200bClick here for the Program SLOs Math 1A \u2013 At the conclusion of the course, students will be able to: Evaluate limits and use them to find derivatives. 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