Date Adopted: July 1, 1998 Date Reviewed: December 1, 1999, 2011, 2013 Date Revised: 1999, 2007, 2011, 2013, 2015 Alabama Department of Postsecondary Education Representing Alabama s Public Two-Year College System Jefferson State Community College MTH 100 Intermediate College Algebra I. MTH 100 Intermediate College Algebra - 3 Semester Hours AMTH A116 II. Course Description This course provides a study of algebraic techniques such as linear equations and inequalities, quadratic equations, systems of equations, and operations with exponents and radicals. Functions and relations are introduced and graphed with special emphasis on linear and quadratic functions. This course does not apply toward the AGSC core requirement for mathematics. III. Prerequisite IV. Textbook MTH 098 or appropriate mathematics placement score. Gustafson, Carr,& Masssey. Beginning & Intermediate Algebra an Integrated Approach. 7 th ed. Brooks/Cole, Cengage Learning 2011 V. Course Outline of Topics A. Factoring 1. Sum of cubes 2. Difference of cubes 3. Common factoring of type found in calculus
B. Rational expressions 1. Addition with unlike denominators 2. Subtraction with unlike denominators 3. Complex fractions C. Exponents 1. Rational exponents 2. Literal exponents 3. Laws of rational exponents 4. Simplifying expressions using the laws of exponents D. Radicals 1. Definition 2. Notation, including changing from exponential <-> radical 3. Simplifying radicals 4. Addition and subtraction of radical expressions 5. Multiplication of radical expressions 6. Division of radical expressions a. Rationalization of denominators b. Rationalization of numerator E. Equations and inequalities 1. Fractional equations 2. Solving equations involving radical expressions 3. Quadratic a. Definition b. Real solutions c. Solving by factoring (reals) d. Solving by completing the square e. Quadratic formula 4. Equations that lead to quadratics 5. Coordinate geometry a. Distance formula b. Midpoint c. Slope a. Finding by formula b. Classifying pairs of lines as perpendicular, parallel, or neither d. Graphing linear inequalities 6. Forms of linear equalities in two variables a. Standard/general form b. Slope-intercept form 7. Writing equations of lines 8. Systems of linear equations a. In three variables b. Solving by addition/subtraction method 9. Word problems with quadratics, systems, fractional equations, and inequalities
10. Solving linear inequalities in one-variable (interval notation) 11. Solving absolute value equations and inequalities using linear expressions F. Functions 1. Definition 2. Domain (find) 3. Range (find) 4. Notation 5. Identifying from sets, equalities and graphs 6. Addition, subtraction, multiplication and division of functions 7. Equality of functions 8. Graphing a. Linear functions b. Quadratic functions VI. Evaluation and Assessment A. College requirements: Examinations should be given by instructors periodically throughout their courses. Faculty are encouraged to give evaluative work early in the term so that students will have a clear understanding of the progress they are making. Final examinations will be given in all classes, and all students enrolled for academic credit will take the final examination. (College Handbook, section 3.7) B. Grading system as stated in the college catalog: A - Excellent (90-100%) B - Good (80-89%) C - Average (70-79%) D Poor (60-69%) F Failure (below 60%) C. Evaluation and assessment techniques may include any or all of the following: 1. Recitation 2. Daily assignments 3. Written assignments 4. Computer assignments 5. Projects 6. Participation 7. Exams To receive a grade of C or higher, the student must obtain an average of at least 70% on written test(s) and other evaluation criteria as determined by the instructor.
** Note: A grade of "C" or higher is required in this course for a student to be eligible for MTH 110 or MTH 112. VII. Class Activities A. Lecture. B. Recitation. C. Discussion. D. Individual instruction. E. Testing. VIII. GENERAL COURSE COMPETENCIES A. The student will acquire knowledge of mathematical terminology. B. The student will demonstrate an understanding of algebraic manipulations, interpretations, computations, and properties of real numbers. C. The student will be able to generalize and select applicable generalizations in algebra. D. The student will acquire knowledge of the concept of a function and function notation. IX.COURSE OBJECTIVES STATED IN PERFORMANCE TERMS A. The student will demonstrate knowledge of mathematical terminology as measured by his/her ability to: 1. recall the meaning of the concepts of the following in order to work problems requiring a knowledge of these terms: a. factor b. polynomial c. rational exponent d. rationalizing e. slope of a line f. quadratic g. function h. midpoint i. distance j. domain k. range l. parallel m. perpendicular n. system of equations o. absolute value p. complete the square
q. quadratic formula 2. determine whether or not given problems are factorable, and if so, to factor them using techniques of a. sum of cubes over the integers b. difference of cubes over the integers c. common factoring over the real numbers of the type found in calculus 3. demonstrate recognition of conditions under which a number belongs to the solution set of an equation or inequality B. The student will demonstrate his/her understanding of algebraic manipulations, interpretations, and computations by being able to: 1. employ methods of factoring to: a. factor polynomials b. reduce algebraic fractions to lowest terms c. simplify radicals d. solve quadratic equations e. solve equations that lead to quadratic equations 2. add and subtract rational expressions with unlike denominators 3. simplify complex fractions 4. use laws of exponents to simplify expressions containing rational and literal exponents 5. simplify radical expressions 6. add, subtract, and multiply radical expressions 7. rationalize the numerator/denominator of radical expressions 8. demonstrate recognition of the type, then select and use applicable properties for solving: a. equations of the following types: 1. fractional 2. quadratics over the real numbers 3. those reducible to quadratics 4. those containing radicals with the simplified equation being either linear or quadratic 5. absolute value with the simplified equations being linear b. inequalities of the following types: 1. linear 2. absolute value 9. calculate a. the distance between two given points, stating and using the appropriate formula b. the slope of the line passing through two given points, stating and using the appropriate formula c. the midpoint of the line segment joining two given points, stating and using the appropriate formula
d. the equation of a line, given any of the following: 1. two points on the line 2. slope of line and one point on the line 3. slope of line and y-intercept 10. write a linear equation in two variables in the following forms: a. standard/general form b. slope-intercept form 11. solve a system of three linear equations in three unknowns by elimination 12. graph given linear inequalities C. The student will demonstrate his/her ability to generalize and select applicable generalizations in algebra by being able to: 1. determine which facts are relevant in solving word problems requiring the use of variables and being able to set up and solve such word problems 2. select by recall the appropriate formula to use, and then to solve any of certain problems requiring the use of a particular formula D. The student will demonstrate his/her knowledge of the concepts of a function and function notation by being able to: 1. use function notation 2. determine the domain and range of a function 3. identify a function from a set, equation, and/or graph 4. perform operations on functions: a. addition b. subtraction c. multiplication d. division 5. graph linear and quadratic functions X. Attendance Students are expected to attend all classes for which they are registered. Students who are unable to attend class regularly, regardless of the reason or circumstance, should withdraw from that class before poor attendance interferes with the student s ability to achieve the objectives required in the course. Withdrawal from class can affect eligibility for federal financial aid. XI. Statement on Discrimination/Harassment The College and the Alabama State Board of Education are committed to providing both employment and educational environments free of harassment or discrimination related to an individual s race, color, gender, religion, national origin, age, or disability. Such harassment is a violation of State Board of Education policy. Any practice or behavior that constitutes harassment or discrimination will not be tolerated.
XII. Americans with Disabilities The Rehabilitation Act of 1973 (Section 504) and the Americans with Disabilities Act of 1990 state that qualified students with disabilities who meet the essential functions and academic requirements are entitled to reasonable accommodations. It is the student s responsibility to provide appropriate disability documentation to the College. The ADA Accommodations office is located in FSC 300 (205-856- 7731).