COURSE OUTLINE Course Number MAT135 Course Title Intermediate Algebra Applications Hours lecture Lab Other 4 lecture hours Co or Pre requisite Credits 4 Implementation sem year Completion of MAT037 formerly MAT034 Fall 2009 with a grade of C or better or MAT037A and MAT037B with a grade of C or better in both courses successful completion of a course equivalent to MAT037 an appropriate score on the Higher Mathematics Placement Test or permission of the department chairperson Catalog description 2009 2012 Catalog Topics include function notation linear quadratic and absolute value functions and equations rational expressions and equations rational exponents and equations radicals and radical equations graphing of linear quadratic and polynomial functions and inequalities 4 lecture hours Is course New Revised or Modified Revised Spring 2009 Required texts other materials 1 Algebra for College Students Dugopolski 5th Ed 2 Calculator A graphing calculator such as the TI 83 or TI 84 is recommended especially for students who need to take additional mathematics courses but is not required Students must have at least a scientific calculator No calculator with a symbolic manipulator is allowed Revision date Course coordinators Revised Spring 2009 Jamie Fleischner Yvonne Greenbaun 609 570 3807 609 570 3894 fleischj mccc edu greenbay mccc edu Information resources The Mercer County Community College Library has close to 100 reference books that students may use and a collection of problems on CD Students are also encouraged to utilize the Learning Centers for additional resources and or tutoring MAT135 Course Outline Spring 2009 Other learning resources The following are additional resources that the publishers of the text have made available for instructors and students Course Competencies Goals Students will be able to demonstrate through tests quizzes homework and assigned projects the ability to 1 solve inequalities in one and two variables 2 solve and graph both linear and quadratic equations 3 factor a second degree polynomial and some special higher degree polynomials 4 recognize and work with functions and function notation 5 perform operations and solve equations involving polynomial radical and rational expressions 6 solve a system of two linear equations 7 solve absolute value equations and inequalities 8 analyze graphs of polynomial functions 9 recognize common graphs and graphing transformations 10 construct and or analyze both linear and quadratic models of real life phenomenon and predict future data values from these models 11 apply each of the above techniques in various real world applications Course specific General Education Knowledge Goals and Core Skills General Education Knowledge Goals Goal 1 Communication Students will communicate effectively in both speech and writing Goal 2 Mathematics Students will use appropriate mathematical and statistical concepts and operations to interpret data and to solve problems Goal 4 Technology Students will use computer systems or other appropriate forms of technology to achieve educational and personal goals MCCC Core Skills Goal A Written and Oral Communication in English Students will communicate effectively in speech and writing and demonstrate proficiency in reading Goal B Critical Thinking and Problem solving Students will use critical thinking and problem solving skills in analyzing information Goal D Information Literacy Students will recognize when information is needed and have the knowledge and skills to locate evaluate and effectively use information for college level work Goal E Computer Literacy Students will use computers to access analyze or present information solve problems and communicate with others 2 MAT135 Course Outline Spring 2009 Units of study in detail Unit I Linear Modeling Equations Inequalities Slopes and Graphs 2 5 weeks The student will be able to Define and solve linear equations in one variable Course Goals 1 2 Gen Ed Goal 2 Core Skill B Determine if a given number is a solution to a given linear equation Course Goal 2 Gen Ed Goal 2 Core Skill B Define and solve linear inequalities in one variable Course Goal 1 Gen Ed Goal 2 Core Skill B Determine if a given number is a solution to a given linear inequality Course Goal 1 Gen Ed Goal 2 Core Skill B Graph solutions to linear inequalities on a real number line and express solutions in interval notation Course Goal 1 Gen Ed Goal 2 Core Skill B Define solve and graph solutions to compound linear inequalities as well as compound linear inequalities using and or terminology Course Goal 1 Gen Ed Goal 2 Core Skill B Plot points and identify quadrants on the coordinate plane Course Goal 1 Gen Ed Goal 2 Core Skill B Define independent x variable and dependent y variable axes Course Goal 2 Gen Ed Goal 2 Core Skill B Read interpret and explain trends in graphs which model applications Course Goals 10 11 Gen Ed Goals 1 2 Core Skills A B Define calculate and interpret slope especially as a rate of change Course Goals 2 11 Gen Ed Goals 1 2 Core Skills A B Determine relationship between slope and horizontal vertical parallel and perpendicular lines Course Goal 2 Gen Ed Goals 1 2 Core Skills A B Define and graph linear equations in two variables Course Goals 2 10 Gen Ed Goals 1 2 Core Skills A B Identify and graph x and y intercepts of a graph and interpret them in context Course Goals 2 10 11 Gen Ed Goals 1 2 Core Skills A B Express and graph linear equations in slope intercept form Course Goals 2 10 Gen Ed Goals 1 2 Core Skills A B Use linear modeling to find the equation of a line through two given points or a slope and yintercept Course Goals 2 10 11 Gen Ed Goals 1 2 Core Skills A B D Find equations of lines that are horizontal vertical and parallel perpendicular to given lines Course Goal 2 Gen Ed Goals 1 2 Core Skills A B Analyze and interpret application problems from other disciplines and or complete assigned project s Course Goals 2 10 11 Gen Ed Goals 1 2 4 Core Skills A B D E Unit II Functions Systems of Linear Equations and Polynomials 4 5 weeks The student will be able to Define relations and functions Course Goal 4 Gen Ed Goal 2 Core Skill B 3 MAT135 Course Outline Spring 2009 Use function notation to evaluate outputs for given inputs Course Goal 4 Gen Ed Goal 2 Core Skill B Identify the domain and range of a function Course Goal 4 Gen Ed Goal 2 Core Skill B Graph simple functions apply the vertical line test Course Goals 2 4 Gen Ed Goal 2 Core Skill B