{"id":313,"date":"2017-02-14T14:02:17","date_gmt":"2017-02-14T22:02:17","guid":{"rendered":"https:\/\/www.palomar.edu\/math\/?page_id=313"},"modified":"2022-05-05T09:50:12","modified_gmt":"2022-05-05T16:50:12","slug":"student-learning-outcomes","status":"publish","type":"page","link":"https:\/\/www.palomar.edu\/math\/student-learning-outcomes\/","title":{"rendered":"Student Learning Outcomes"},"content":{"rendered":"\n<p>Mathematics Program Student Learning Outcome: Recipients of our AS degree, in mathematics, will be well prepared to continue their education in STEM (Science, Technology, Engineering, Mathematics) at a college or university.<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><a href=\"https:\/\/www.palomar.edu\/slo\/wp-content\/uploads\/sites\/250\/2021\/04\/ALL-Program-SLOs-2021-PDF-portrait-3-1.pdf#page=17\" target=\"_blank\" rel=\"noreferrer noopener\">Math, Science, and Engineering Student Learning Outcomes<\/a><\/p>\n\n\n\n<table id=\"tablepress-7\" class=\"tablepress tablepress-id-7 tbody-has-connected-cells\">\n<thead>\n<tr class=\"row-1\">\n\t<th class=\"column-1\">Course<\/th><th class=\"column-2\">Student Learning Outcome (SLO)<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-2\">\n\t<td rowspan=\"3\" class=\"column-1\">Math 1<\/td><td class=\"column-2\">Apply mathematical principles and techniques to solve problems in areas such as ancient systems of numeration, set theory and number theory.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-3\">\n\t<td class=\"column-2\">Use critical thinking to arrive and conclusions from Venn diagrams, syllogistic forms and truth tables.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-4\">\n\t<td class=\"column-2\">Demonstrate knowledge of affective domain and study skills.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-5\">\n\t<td rowspan=\"3\" class=\"column-1\">Math 11<\/td><td class=\"column-2\">Analyze and solve a precalculus level problem using analytic methods.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-6\">\n\t<td class=\"column-2\">Sketch the graph of a precalculus level problem using skills beyond plotting a table of points.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-7\">\n\t<td class=\"column-2\">Demonstrate knowledge of affective domain and study skills.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-8\">\n\t<td rowspan=\"3\" class=\"column-1\">Math 13<\/td><td class=\"column-2\">Recognize, apply, and interpret multiple representations (graphic, symbolic, numerical\/data, verbal\/applied) of integration and its applications.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-9\">\n\t<td class=\"column-2\">Recognize, apply, and interpret multiple representations (graphic, symbolic, numerical\/data, verbal\/applied) of the derivative and its applications.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-10\">\n\t<td class=\"column-2\">Demonstrate knowledge of affective domain and study skills.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-11\">\n\t<td rowspan=\"4\" class=\"column-1\">Math 14<\/td><td class=\"column-2\">Interpret slope as rate of change.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-12\">\n\t<td class=\"column-2\">Use exponential growth and decay models to make predictions.<\/td>\n<\/tr>\n<tr class=\"row-13\">\n\t<td class=\"column-2\">Demonstrate knowledge of affective domain and study skills.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-14\">\n\t<td class=\"column-2\">Computational Skills: successful students will be proficient in arithmetic with integers, rational numbers, decimals and percents<\/td>\n<\/tr>\n<tr class=\"row-15\">\n\t<td rowspan=\"4\" class=\"column-1\">Math 20<\/td><td class=\"column-2\">Construct and interpret graphs such as bar charts, histograms and box plots.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-16\">\n\t<td class=\"column-2\">Compute appropriate descriptive statistics.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-17\">\n\t<td class=\"column-2\">Choose and apply inferential analyses in order to draw conclusions about a population.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-18\">\n\t<td class=\"column-2\">Demonstrate knowledge of affective domain and study skills.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-19\">\n\t<td class=\"column-1\">Math 50<\/td><td class=\"column-2\">Solve linear equations: Students will be able to solve linear equations.<\/td>\n<\/tr>\n<tr class=\"row-20\">\n\t<td rowspan=\"3\" class=\"column-1\">Math 100<\/td><td class=\"column-2\">Critical thinking: use critical thinking to arrive at conclusions from Venn Diagrams, syllogistic forms, and truth tables.<\/td>\n<\/tr>\n<tr class=\"row-21\">\n\t<td class=\"column-2\">Cultural understanding: relate a knowledge of the people, and uses of mathematics throughout history of mathematics.<\/td>\n<\/tr>\n<tr class=\"row-22\">\n\t<td class=\"column-2\">Principles and Technique: apply mathematical principles and techniques to solve problems in areas such as ancient systems of numeration, set theory, and number theory.<\/td>\n<\/tr>\n<tr class=\"row-23\">\n\t<td rowspan=\"2\" class=\"column-1\">Math 101<\/td><td class=\"column-2\">Interpret slope as a rate of change.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-24\">\n\t<td class=\"column-2\">Use exponential growth and decay models to make predictions.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-25\">\n\t<td class=\"column-1\">Math 105<\/td><td class=\"column-2\">Place Value: students will demonstrate an understanding of place value by counting in bases other than base ten<\/td>\n<\/tr>\n<tr class=\"row-26\">\n\t<td class=\"column-1\">Math 106<\/td><td class=\"column-2\">Area and Perimeter: students will be able to demonstrate an understanding of the difference between area and perimeter.<\/td>\n<\/tr>\n<tr class=\"row-27\">\n\t<td class=\"column-1\">Math 110<\/td><td class=\"column-2\">College Algebra: students will be able to analyze and solve a precalculus level problem using analytic methods and be able to sketch the graph of a precalculus level function.<\/td>\n<\/tr>\n<tr class=\"row-28\">\n\t<td rowspan=\"4\" class=\"column-1\">Math 115<\/td><td class=\"column-2\">Applications of Right Triangle Trigonometry: use trigonometric functions to solve application problems involving unknown sides of right triangles<\/td>\n<\/tr>\n<tr class=\"row-29\">\n\t<td class=\"column-2\">Trigonometric Equations: be able to solve equations involving trigonometric functions<\/td>\n<\/tr>\n<tr class=\"row-30\">\n\t<td class=\"column-2\">Trigonometric function values: analytically evaluate the six trigonometric functions of angles of measures that are multiples of 30 degrees and 45 degrees.<\/td>\n<\/tr>\n<tr class=\"row-31\">\n\t<td class=\"column-2\">Trigonometric Identities: use basic identities to verify trigonometric identities or to simplify trigonometric expressions.<\/td>\n<\/tr>\n<tr class=\"row-32\">\n\t<td rowspan=\"3\" class=\"column-1\">Math 120<\/td><td class=\"column-2\">Descriptive statistics: compute appropriate descriptive statistics.<\/td>\n<\/tr>\n<tr class=\"row-33\">\n\t<td class=\"column-2\">Graphing: students will be able to construct and interpret graphs such as bar charts, histograms and box plots.<\/td>\n<\/tr>\n<tr class=\"row-34\">\n\t<td class=\"column-2\">Inferential statistics: choose and apply inferential analyses in order to draw conclusions about a population.<\/td>\n<\/tr>\n<tr class=\"row-35\">\n\t<td rowspan=\"2\" class=\"column-1\">Math 126<\/td><td class=\"column-2\">Students will be able solve multi-step precalculus level problems in a variety of contexts related to science, technology, engineering, and mathematics<\/td>\n<\/tr>\n<tr class=\"row-36\">\n\t<td class=\"column-2\">Students will be able use multiple representations of functions to interpret and describe how two quantities change together.<\/td>\n<\/tr>\n<tr class=\"row-37\">\n\t<td rowspan=\"3\" class=\"column-1\">Math 127<\/td><td class=\"column-2\">Students will be able to create sinusoidal models and interpret the period, amplitude, vertical shift and phase shift in the context of STEM applications.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-38\">\n\t<td class=\"column-2\">Students will be able to use multiple representations of functions to interpret and describe how two quantities change together.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-39\">\n\t<td class=\"column-2\">Students will be able to solve trigonometric equations.\u00a0<\/td>\n<\/tr>\n<tr class=\"row-40\">\n\t<td rowspan=\"2\" class=\"column-1\">Math 130<\/td><td class=\"column-2\">Interpret derivative: students will recognize, apply, and interpret multiple representations (graphic, symbolic, numerical\/data, verbal\/applied) of the derivative and its applications.<\/td>\n<\/tr>\n<tr class=\"row-41\">\n\t<td class=\"column-2\">Interpret Integration: students will recognize, apply, and interpret multiple representations (graphic, symbolic, numerical\/data, verbal\/applied) of integration and its applications.<\/td>\n<\/tr>\n<tr class=\"row-42\">\n\t<td rowspan=\"2\" class=\"column-1\">Math 135<\/td><td class=\"column-2\">Graph functions: demonstrate proficiency in the graphing of functions at the precalculus level.<\/td>\n<\/tr>\n<tr class=\"row-43\">\n\t<td class=\"column-2\">Solve equations: solve equations involving algebraic and transcendental functions at the precalculus level<\/td>\n<\/tr>\n<tr class=\"row-44\">\n\t<td rowspan=\"4\" class=\"column-1\">Math 140<\/td><td class=\"column-2\">Antiderivative: find the antiderivative of a function using basic integration rules.<\/td>\n<\/tr>\n<tr class=\"row-45\">\n\t<td class=\"column-2\">Limits: evaluate limits analytically.<\/td>\n<\/tr>\n<tr class=\"row-46\">\n\t<td class=\"column-2\">Optimization: use calculus to solve optimization problem<\/td>\n<\/tr>\n<tr class=\"row-47\">\n\t<td class=\"column-2\">Rules of Derivatives: find the derivative of a function using rules of derivatives<\/td>\n<\/tr>\n<tr class=\"row-48\">\n\t<td class=\"column-1\">Math 141<\/td><td class=\"column-2\">Integration Techniques: demonstrate proficiency in evaluating integrals using various techniques of integration.<\/td>\n<\/tr>\n<tr class=\"row-49\">\n\t<td rowspan=\"2\" class=\"column-1\">Math 146<\/td><td class=\"column-2\">Functions, Subroutines: develop a FORTRAN-90 program that contains functions and subroutines.<\/td>\n<\/tr>\n<tr class=\"row-50\">\n\t<td class=\"column-2\">Sequence, Selection, Iteration: develop a FORTRAN-90 program that contains sequence, selection and iteration control structures<\/td>\n<\/tr>\n<tr class=\"row-51\">\n\t<td rowspan=\"2\" class=\"column-1\">Math 200<\/td><td class=\"column-2\">Demonstrate understanding of the theoretical foundations of linear algebra, such as vector spaces, inner product spaces, the eigenvalue problem. May include applications from math, science, or engineering.<\/td>\n<\/tr>\n<tr class=\"row-52\">\n\t<td class=\"column-2\">Solve a linear system using appropriate methods and interpret the results.<\/td>\n<\/tr>\n<tr class=\"row-53\">\n\t<td rowspan=\"3\" class=\"column-1\">Math 205<\/td><td class=\"column-2\">Multivariable Functions: perform calculus on multivariable functions.<\/td>\n<\/tr>\n<tr class=\"row-54\">\n\t<td class=\"column-2\">Vector Operations: perform vector operations using geometry in space.<\/td>\n<\/tr>\n<tr class=\"row-55\">\n\t<td class=\"column-2\">Vector Valued Functions: Perform calculus on vector valued functions<\/td>\n<\/tr>\n<tr class=\"row-56\">\n\t<td class=\"column-1\">Math 206<\/td><td class=\"column-2\">Application of Differential Equations: successful students will be able to compare first- and second-order differential equations, solve these equations using appropriate techniques including constructing solutions using series and matrices, and apply them to problems in science and engineering.<\/td>\n<\/tr>\n<tr class=\"row-57\">\n\t<td rowspan=\"2\" class=\"column-1\">Math 245<\/td><td class=\"column-2\">Mathematical Proofs: prove a statement using one of the basic methods of proof or disprove it using a counter example.<\/td>\n<\/tr>\n<tr class=\"row-58\">\n\t<td class=\"column-2\">Minimum Spanning Tree: Use a standard algorithm to find a minimal spanning tree for a given graph.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n","protected":false},"excerpt":{"rendered":"<p>Mathematics Program Student Learning Outcome: Recipients of our AS degree, in mathematics, will be well prepared to continue their education in STEM (Science, Technology, Engineering, Mathematics) at a college or university. Math, Science, and Engineering Student Learning Outcomes<\/p>\n","protected":false},"author":499,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"jetpack_post_was_ever_published":false,"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-313","page","type-page","status-publish","hentry"],"acf":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P6Sp6y-53","_links":{"self":[{"href":"https:\/\/www.palomar.edu\/math\/wp-json\/wp\/v2\/pages\/313","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.palomar.edu\/math\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.palomar.edu\/math\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.palomar.edu\/math\/wp-json\/wp\/v2\/users\/499"}],"replies":[{"embeddable":true,"href":"https:\/\/www.palomar.edu\/math\/wp-json\/wp\/v2\/comments?post=313"}],"version-history":[{"count":14,"href":"https:\/\/www.palomar.edu\/math\/wp-json\/wp\/v2\/pages\/313\/revisions"}],"predecessor-version":[{"id":1977,"href":"https:\/\/www.palomar.edu\/math\/wp-json\/wp\/v2\/pages\/313\/revisions\/1977"}],"wp:attachment":[{"href":"https:\/\/www.palomar.edu\/math\/wp-json\/wp\/v2\/media?parent=313"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}