COURSE OUTLINE Course Number Course Title Credits MAT135 Intermediate Algebra & Applications 4 Hours: lecture/Lab/Other Co- or Pre-requisite Implementation sem/year 4 lecture hours 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 coordinator: Revised Spring 2009 Yvonne Greenbaun 609.570.3894 [email protected] 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 2010 2 Other learning resources: There is an online homework system 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.MAT135 Course Outline Spring 2010 3 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) Solve absolute value inequalities algebraically and graphically. (Course Goal 7, 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 y-intercept. (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)MAT135