Course ID May 2017 COURSE OUTLINE. Mathematics 130 Elementary & Intermediate Algebra for Statistics
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1 Non-Degree Applicable Glendale Community College Course ID May 2017 Catalog Statement COURSE OUTLINE Mathematics 130 Elementary & Intermediate Algebra for Statistics is a one-semester accelerated course leading to transfer-level Statistics (Math 136), Finite Mathematics (Math 133), Liberal Arts Mathematics (Math 135), and Math for Elementary Teachers I (Math 138). Topics include curve plotting, linear equations and inequalities, radicals, functions and inverse functions, systems of linear equations, exponential and logarithmic functions, factoring, rational expressions, roots and radicals, quadratic equations, descriptive statistics, graphical and numerical statistics for quantitative and categorical data, modeling bivariate data with linear functions, introductory set theory, and introductory probability. Total Lecture Units: 8.0 Total Laboratory Units: 0.0 Total Course Units: 8.0 Total Lecture Hours: Total Laboratory Hours: 0.0 Total Laboratory Hours To Be Arranged: 0.0 Total Faculty Contact Hours: Prerequisite: Satisfactory completion of MATH 144, MATH 145, or 2 units of MATH 245. Note: This course is designed for non-stem students who are not majoring in science, technology, engineering, mathematics, or business. This course may not be taken for credit by students who have completed MATH 131. A maximum of 8 units will be granted for and 141, 146, 119, or 219, OR a maximum of 9 units will be granted for and 101, 120 or 220. Course Entry Expectations Prior to enrolling in the course, the student should be able to: add, subtract, multiply, and divide real numbers; solve linear equations and inequalities; solve absolute value equations and inequalities; simplify exponential expressions;
2 Page 2 of 5 add, subtract, multiply, and divide polynomials; graph linear equations and inequalities; find the equation of a line; solve linear systems; use algebra to solve applied problems; use function notation. Course Exit Standards Upon successful completion of the required coursework, the student will be able to: factor polynomials; solve rational equations; graph quadratic functions; solve equations with radicals; solve absolute value equations and inequalities; solve linear equations and inequalities; find the equation of a line and interpret the slope and intercept; solve a system of linear equations using elimination, and graphing; solve applied problems; find the inverse of a function; solve logarithmic and exponential equations; find the nth term of arithmetic and geometric sequences; graph functions (linear, exponential, logarithmic); apply the Binomial Theorem; compute basic statistics for a variable, including mean, median, mode, quartiles, range, variance and standard deviation; describe the distribution of a quantitative variable in terms of its shape, center and spread, using graphical techniques; apply addition and multiplication rules of probability in problem solving including computing expected value; identify probability models and compute their areas. Course Content Total Faculty Contact Hours = Factoring (12 hours) The greatest common factor Factoring by grouping Factoring trinomials The difference of two squares Solving equations by factoring Factoring cubes Rational Expressions (14 hours) Reducing rational expressions to lowest terms
3 Page 3 of 5 Multiplication and division of rational expressions Addition and subtraction of rational expressions Equations involving rational expressions Complex fractions Proportions and variation Roots and Radicals (11 hours) Definitions and common roots Properties of radicals Simplified form for radicals Addition and subtraction of radical expressions Multiplication and division of radicals Equations involving radicals Quadratic Equations (11 hours) Solving using the square root method Solving by completing the square The quadratic formula Complex numbers Complex solutions to quadratic equations Graphing parabolas Distance formula and graphing circles Descriptive Statistics for One Variable (15 hours) Basic Statistics Simple random samples and sampling bias Measures of center: mean, median, and mode Measures of spread: standard deviation, variance, interquartile range, and range Graphs of one variable Histograms Stem plots Box plots Bar Chart Pie Chart Descriptive Statistics for Two Variables (10 hours) Graphs of two variables and linear regression Linear equations and inequalities with one and two variables, including absolute values The rectangular coordinate system Scatterplots The slope of a line Equations of lines Summation notation Regression Lines Correlation Geometric and arithmetic series Binomial Theorem
4 Page 4 of 5 Systems of Equations (10 hours) Solutions by graphing Solutions by elimination Solutions of three equations in three variables Supply and demand equilibrium Breakeven price and quantity Exponential Functions (8 hours) Functions including exponents and radicals and scientific notation Exponential functions Logarithmic Functions (8 hours) One-to-one functions Inverse functions Common and natural logarithms Transforming data of Exponential and Logarithmic Functions (4 hours) Simple vs. compound interest Loan payments Annuities Growth/decline patterns Basic Set Theory (10 hours) The real number system Subsets Complements Unions and intersections Counting techniques, permutations, and combinations Probability (15 hours) Probability Rules Addition and multiplication rules Conditional probability, dependent and independent events 2-Way Tables Expected Value Probability Models General probability density functions Binomial and Normal Cumulative distribution functions Methods of Instruction The following methods of instruction may be used in the course: lecture/discussion; small group work/discussion; online presentation (e.g. online lectures); computer software and/or graphing calculator demonstrations. Out of Class Assignments
5 Page 5 of 5 The following out of class assignments may be used in the course: homework (e.g. problems sets related to course content); project(s) using datasets and technology culminating in a written report (e.g. analyze data provided involving price and quantity of soda and construct a scatter plot and linear regression model using Excel). Methods of Evaluation The following methods of evaluation may be used in the course: quizzes; seven to nine regularly scheduled examinations; one two-and-one half hour comprehensive final examination; Textbook(s) McKeague, Charles. Elementary Algebra. Custom Edition for GCC 9 th Ed. Mason: Cengage Learning, Print. 12 th Grade Textbook Reading Level. ISBN # McKeague, Charles. Intermediate Algebra. Custom Edition for GCC 9 th Ed. Mason: Cengage Learning, Print. 11 th Grade Textbook Reading Level. ISBN # Dean, Susan and Barbara Illowsky,. Collaborative Statistics. Houston;:College Open Text Books Present, Digital file. 11 th Grade Textbook Reading Level. Student Learning Outcomes Upon successful completion of the required coursework, the student will be able to: simplify various algebraic expressions; solve equations and inequalities; graph various sets of data, functions, and relations; use mathematical models to solve application problems; factor polynomials.
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