[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-508011-105":59,"doc-detail-508011-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","intermediate-algebra-course-math-0305","Intermediate Algebra - Course MATH 0305","","Intermediate Algebra course syllabus covering relations and functions, inequalities, algebraic expressions and equations, with emphasis on linear and quadratic forms. Students master factoring (including special trinomials, cubes, and difference of squares), rational expressions and functions, radical expressions and functions, and complex numbers, including simplifying, graphing, and solving related equations and applications. 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Catalog Description  \nA study of relations and functions, inequalities, algebraic expressions and equations (absolute value, polynomial, radical, rational), with a special emphasis on linear and quadratic expressions and equations. May not be counted toward graduation requirements. Prerequisite: Placement by Math TSIA2 or  \nequivalent. (3:0).  \nII. Course Objectives  \nUpon satisfactory completion of this course, the student will be able to:  \nA. Unit I: Factoring  \n1. Factor trinomials ofthe form ax2 + bx + c.  \n2. Factor the difference of two squares, perfect-square trinomials, sum and difference of two cubes and trinomials that are quadratic in form.  \n3. Solve equations by factoring.  \n4. Solve applications involving above objectives.  \nB. Unit II: Rational expressions and functions  \n1. Identify the domain of rational functions.  \n2. Evaluate rational functions.  \n3. Simplify rational expressions  \n4. Use field properties to multiply, divide, add and subtract rational expressions.  \n5. Simplify complex fractions.  \n6. Solve rational equations.  \n7. Solve literal equations.  \n8. Solve applications using above objectives.  \nC. Unit III: Radical expressions and functions; complex numbers  \n1. Simplify expressions containing rational exponents.  \n2. Simplify radical expressions.  \n3. Use field properties to add, subtract, multiply and divide radical expressions.  \n4. Rationalize the denominator of a radical expression.  \n5. Find the domain of radical functions.  \n6. Evaluate radical functions.  \n7. Graph radical functions.  \n8. Solve equations containing radical expressions.  \n9. Use field properties to add, subtract, multiply, and divide complex numbers.  \n10. Solve applications using above objectives.  \nD. Unit IV: Quadratic equations and functions, non-linear inequalities  \n1. Understand and use the root square property, completing the square, and quadratic formula to solve quadratic equations.  \n2. Solve equations that are quadratic in form.  \n3. Solve nonlinear inequalities.  \n4. Graph quadratic functions, using points, x-intercepts, and the vertex.  \n5. Solve applications using above objectives.  \nE. Unit V: Exponential and logarithmic functions  \n1. Understand one-to-oneness of functions and inverse functions.  \n2. Evaluate exponential and logarithmic functions.  \n3. Graph exponential and logarithmic functions.  \n4. Understand inverse relationship of exponential and logarithmic functions.  \nIII. THECB Learning Outcomes (ACGM)  \nUpon successful completion of this course, students will:  \n1. Define, represent, and perform operations on real and complex numbers.  \n2. Recognize, understand, and analyze features of a function.  \n3. Recognize and use algebraic (field) properties, concepts, procedures (including factoring), and algorithms to combine, transform, and evaluate absolute value, polynomial, radical, and rational expressions.  \n4. Identify and solve absolute value, polynomial, radical, and rational equations.  \n5. Identify and solve absolute value and linear inequalities.  \n6. Model, interpret and justify mathematical ideas and concepts using multiple representations.  \n7. Connect and use multiple strands of mathematics in situations and problems, as well as in the study of other disciplines.  \nIV. Evaluation  \nA. There will be at least three in class exams (100 points each) and one required in class comprehensive final exam to evaluate student learning for the course. Students will be assessed on all five units. Refer to part III of the Instructor’s Course Requirements for more information.  \nB. The course grade will be assigned based on the following scale.  \nA   90 – 100  \nB   80 – 89  \nC   70 – 79  \nD   60 – 69  \nF   Below 60  \nC. For the attendance policy, refer to part IV of the I","cbCaij3GdFYOBuif","https://ap.wps.com/l/cbCaij3GdFYOBuif","pdf",162614,"English","# Catalog Description\n# Course Objectives\n## Unit I: Factoring\n## Unit II: Rational expressions and functions\n## Unit III: Radical expressions and functions; complex numbers\n## Unit IV: Quadratic equations and functions, non-linear inequalities\n## Unit V: Exponential and logarithmic functions\n# THECB Learning Outcomes (ACGM)\n# Evaluation\n# Disability Statement (ADA)\n# 6 Drop Rule\n# Title IX and Sex Discrimination","[{\"question\":\"What topics are covered in Intermediate Algebra (MATH 0305)?\",\"answer\":\"The course covers relations and functions, inequalities, algebraic expressions and equations, focusing on linear/quadratic topics, factoring, rational expressions, radical expressions, complex numbers, quadratic techniques, and exponential/logarithmic functions.\"},{\"question\":\"What are the main course units?\",\"answer\":\"Unit I covers factoring; Unit II covers rational expressions and functions; Unit III covers radical expressions and functions and complex numbers; Unit IV covers quadratic equations/functions and non-linear inequalities; Unit V covers exponential and logarithmic functions.\"},{\"question\":\"How is student learning assessed in this course?\",\"answer\":\"Assessment includes at least three in-class exams (100 points each) and one required in-class comprehensive final exam. Students are assessed on all five units.\"}]","Intermediate Algebra - Course MATH 0305 | PDF",1791205269]