{"id":995,"date":"2015-10-15T14:37:31","date_gmt":"2015-10-15T21:37:31","guid":{"rendered":"http:\/\/arizmatyc.org\/wp\/?page_id=995"},"modified":"2015-10-15T22:11:21","modified_gmt":"2015-10-16T05:11:21","slug":"mat-15x-college-algebra-learning-objectives","status":"publish","type":"page","link":"https:\/\/arizmatyc.org\/wp\/mat-15x-college-algebra-learning-objectives\/","title":{"rendered":"MAT 15x College Algebra Learning Objectives"},"content":{"rendered":"<h3>Arizona State<\/h3>\n<ul>\n<li>Students will be able to apply algebraic reasoning solve a range of problems.<\/li>\n<li>Students will develop skills required for success in future studies calculus.<\/li>\n<\/ul>\n<h3>Arizona Western<\/h3>\n<p>Upon satisfactory completion of this course, students will be able to:<br \/>\n2.1 investigate linear functions and use them to model real world data.<br \/>\n2.2 solve algebraic equations and inequalities.<br \/>\n2.3 analyze graphs of functions and transformations of these graphs.<br \/>\n2.4 identify functions and their graphs, and use them to model real world data.<br \/>\n2.5 demonstrate a fundamental understanding of exponential and logarithmic functions.<br \/>\n2.6 demonstrate an understanding of systems of equations and inequalities.<br \/>\n2.7 perform matrix algebra and use matrices to solve systems of equations.<br \/>\n2.8 identify, evaluate, and apply sequences, series, counting principles, and probability.<\/p>\n<h3>MCCCD Official Course Competencies<\/h3>\n<ol>\n<li>Analyze and interpret the behavior of functions, including end behavior, increasing and decreasing, extrema, asymptotic behavior, and symmetry. (I, II, III)<\/li>\n<li>Solve polynomial, rational, exponential, and logarithmic equations analytically and graphically. (I, II, III)<\/li>\n<li>Find real and complex zeros of polynomial functions analytically and graphically. (II)<\/li>\n<li>Graph polynomial, rational, exponential, logarithmic, power, absolute value, and piecewise-defined functions. (I, II, III)<\/li>\n<li>Determine domain and range of polynomial, rational, exponential, logarithmic, power, absolute value, and piecewise-defined functions. (I, II, III)<\/li>\n<li>Use transformations to graph functions. (I, II, III)<\/li>\n<li>Perform operations, including compositions, on functions and state the domain of the resulting function. (I, II, III)<\/li>\n<li>Determine whether a relation is a function when represented numerically, analytically, or graphically. (I, II, III)<\/li>\n<li>Determine whether a function is one-to-one when represented numerically, analytically, or graphically. (I, II, III)<\/li>\n<li>Determine the inverse of a relation when represented numerically, analytically, or graphically. (I, II, III)<\/li>\n<li>Classify functions by name when represented numerically, analytically, or graphically. (I, II, III)<\/li>\n<li>Determine regression models from data using appropriate technology and interpret results. (I, II, III)<\/li>\n<li>Read and interpret quantitative information when presented numerically, analytically, or graphically. (I, II, III, IV)<\/li>\n<li>Justify and interpret solutions to application problems. (I, II, III, IV, V)<\/li>\n<li>Compare alternative solution strategies. (I, II, III, IV)<\/li>\n<li>Calculate and interpret average rate of change. (I, II, III)<\/li>\n<li>Model and solve real world problems. (I, II, III, IV, V)<\/li>\n<li>Solve systems of three linear equations in three variables. (IV)<\/li>\n<li>Solve systems of linear inequalities. (IV)<\/li>\n<li>Communicate process and results in written and verbal formats. (I, II, III, IV, V)<\/li>\n<\/ol>\n<h3>Northern Arizona University<\/h3>\n<p>No learning objective located.<\/p>\n<h3>Pima CC<\/h3>\n<p><strong>Upon successful completion of the course, the student will be able to:<\/strong><\/p>\n<ol>\n<li>Define functions and determine the domain and range.\u00a0Perform operations on functions.<\/li>\n<li>Solve various types of equations and systems.<\/li>\n<li>Graph functions and inequalities.<\/li>\n<li>Solve problems involving real world applications.<\/li>\n<\/ol>\n<p><strong>Performance Objectives:\u00a0 <\/strong><\/p>\n<p><strong>Upon successful completion of the course, the student will be able to:<\/strong><\/p>\n<ol>\n<li>Define a function in terms of ordered pairs, graphically, and algebraically.<\/li>\n<li>Determine the domain of a function, and determine whether an element is in the range of a function.<\/li>\n<li>Use the algebra of functions and composition of functions defined by the modes in objective.<\/li>\n<li>Use the definition of a one-to-one function and compute the inverse of a one-to-one function.<\/li>\n<li>Define and calculate, exactly and by approximation, zeros and intercepts of functions.<\/li>\n<li>Perform basic operations with complex numbers.<\/li>\n<li>Find the zeros of polynomial functions by approximation and using simple algebraic methods.<\/li>\n<li>Given its zeros and their multiplicities, construct a polynomial function and sketch its graph.<\/li>\n<li>Graph rational functions.<\/li>\n<li>Solve nonlinear inequalities graphically.<\/li>\n<li>Use the properties of exponential functions.<\/li>\n<li>Use the concept of inverse functions to develop and work with logarithmic functions.<\/li>\n<li>Solve exponential and logarithmic equations.<\/li>\n<li>Solve applications, by algebraic means and by approximation, using polynomial, single radical, power, rational, exponential, and logarithmic functions.<\/li>\n<li>Solve application problems using linear systems.<\/li>\n<li>Use graphing calculators (or other technology).<\/li>\n<li>Using technology to model data (linear regression).<\/li>\n<\/ol>\n<h3>University of Arizona<\/h3>\n<ul>\n<li>To promote problem-solving and critical thinking skills through the application of algebraic concepts to common situations<\/li>\n<li>To enhance the understanding of algebraic concepts through the integrated use of graphing technology in the curriculum<\/li>\n<li>To utilize and promote the &#8220;Rule of Four&#8221; &#8211; every topic should be presented algebraically, graphically, numerically, and in context with applications<\/li>\n<li>To incorporate writing into the curriculum<\/li>\n<li>To provide a sufficient algebra background to prepare students for Math 113, Math 116, and Math 163\/263<\/li>\n<li>To help strengthen students&#8217; general academic skills<\/li>\n<li>Note that more detailed objectives are listed in the Class Notes packet that can be obtained in the university bookstore<\/li>\n<\/ul>\n<h3>Yavapai<\/h3>\n<p>1. Use technology to recognize trends in data. (1,2,3,4,6) (QL1-4)<br \/>\n2. Create suitable functions that model data using technology. (1,2,3,4,6) (QL 1-3)<br \/>\n3. Analyze an application using a function developed from data. (1,2,3,4,6) (QL 1-4)<br \/>\n4. Add, subtract and multiply matrices in the context of an application. (5,6) (QL 1,2,4)<br \/>\n5. Solve a system of equations using matrices and technology. (5,6) (QL 1,2)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Arizona State Students will be able to apply algebraic reasoning solve a range of problems. Students will develop skills required for success in future studies calculus. Arizona Western Upon satisfactory completion of this course, students will be able to: 2.1 investigate linear functions and use them to model real world data. 2.2 solve algebraic equations &hellip; <a href=\"https:\/\/arizmatyc.org\/wp\/mat-15x-college-algebra-learning-objectives\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">MAT 15x College Algebra Learning Objectives<\/span> <span class=\"meta-nav\">&rarr;<\/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":""},"_links":{"self":[{"href":"https:\/\/arizmatyc.org\/wp\/wp-json\/wp\/v2\/pages\/995"}],"collection":[{"href":"https:\/\/arizmatyc.org\/wp\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/arizmatyc.org\/wp\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/arizmatyc.org\/wp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/arizmatyc.org\/wp\/wp-json\/wp\/v2\/comments?post=995"}],"version-history":[{"count":3,"href":"https:\/\/arizmatyc.org\/wp\/wp-json\/wp\/v2\/pages\/995\/revisions"}],"predecessor-version":[{"id":1004,"href":"https:\/\/arizmatyc.org\/wp\/wp-json\/wp\/v2\/pages\/995\/revisions\/1004"}],"wp:attachment":[{"href":"https:\/\/arizmatyc.org\/wp\/wp-json\/wp\/v2\/media?parent=995"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}