Date Adopted May 2004 Dates reviewed December 15, 2007, 2011 Dates revised December 15, 2007, 2011, 2012, 2013, 2015 Alabama Department of Postsecondary Education Representing Alabama s Public Two-Year College System Jefferson State Community College MTH 116 Mathematical Applications I. MTH 116 MATHEMATICAL APPLICATIONS - 3 Semester Hours II. Course Description A. This course provides practical applications of mathematics and includes selected topics from consumer math and algebra. Some types included are integers, percent, interest, ratio and proportion, metric system, probability, linear equations, and problem solving. This is a terminal course designed for students seeking an AAS degree and does not meet the general core requirement for mathematics. III. Prerequisite MTH 090 or appropriate mathematics placement score. IV. Textbook Smith, Karl J. Mathematics: Its Power & Utility: 10 th edition, Pacific Grove, CA: Thomson/Brooks/Cole 2006. V. Course Outline of Topics A. Sets of Numbers 1. Symbol Shock 2. Addition of Integers 3. Subtraction of Integers 4. Multiplication of Integers 5. Division of Integers 6. Rational and Irrational Numbers 7. Summary and Review. B. Introduction to Algebra 1. Polynomials 2. Similar Terms 3. Simplification
4. Equations 5. Solving Equations 6. Problem Solving with Algebra 7. Inequalities 8. Summary and Review C. Percents and Problem Solving 1. Ratio and Proportion 2. Problem Solving with Proportions 3. Percent 4. Problem Solving with Percents 5. Summary and Review D. Measurement and Problem Solving 1. Precision, Accuracy, and Estimation 2. Perimeter 3. Area 4. Volume and Capacity 5. Summary and Review E. Applications of Percent 1. Discount, Sale Price, Sales Tax 2. Simple Interest 3. Buying on Credit 4. Credit Card Interest 5. Compound Interest 6. Buying a Home 7. Summary and Review F. Probability 1. Introduction to Probability 2. Probability Models 3. Summary and Review VI. Evaluation and Assessment A. College requirements: Examinations should be given by instructors periodically throughout the semester to evaluative work early in the term so that the student will have a clear understanding of the progress that he/she is making. All student enrolled for academic credit are required to take a final examination. (College Handbook) B. Grades 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 may include any or all of the following: 1. Recitation 2. Discussion 3. Daily assignments 4. Written assignments 5. Computer assignments 6. Projects 7. Participation 8. Test/Examinations VII. Class Activities a. Lecture b. Discussion c. Recitation d. Individual Instruction e. Demonstration f. Written examination VIII General Course Competencies A. The student will demonstrate knowledge of mathematical terminology. B. The student will demonstrate his/her ability to generalize and analyze arithmetic situations. C. The student will demonstrate his/her ability to generalize and select applicable relations and operations to be used in various numerical and variable algebraic situations. D. The student will demonstrate mastery of algebraic algorithms relative to the subsets of the rational numbers, numerical expressions, algebraic expressions, linear equations, or formulas, by being able to apply the necessary algebraic manipulations in order to simplify. 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: Algebra variable domain variable expression term addition/sum difference subtraction/minus factor product dividend divisor quotient integers order symbols number line absolute value evaluate opposite Pythagorean theorem Hypotenuse Square root/radical Perfect square Real numbers (Rational/Irrational) Monomial Binomial Trinomial Polynomial Degree of a term/polynomial Distributive property Similar terms Simplify Equation (properties/solving) Ratio/Proportion Percent Length/measure Accuracy U.S. System/ Metric System Perimeter Area Circle (diameter/radius/π/circumference) Semicircle
Parallelograms Triangles Trapezoid Circles Volume Capacity Box (parallelepiped) Discount Complement Sales price Discount price Percent markdown Sales tax Price (including tax) Principal or present value Interest Interest rate Future vale Exact/ordinary interest Installment loan(closed-end) Installments(amortized) Opened-end, revolving credit, or credit card Add-on interest Monthly payment Annual percentage rate (APR) Previous balance method Adjusted balance method Average daily balance method Compound interest Future value (compound interest) Compounding periods (annually, semiannually, quarterly, monthly, daily) Comparison rate Closing cost Mortgage Origination fee Points Length of the loan Down payment Experiment Sample space Event (impossible/simple) Fair Tree diagram Probability Complementary probabilities Complements Fundamental counting principal B. The student will demonstrate his/her ability to use the set of real numbers to generalize and analyze arithmetic situations by being able to: 1. recognize the uses of symbols 2. recall the steps in the order-of-operations agreement C. The student will demonstrate mastery of algebraic algorithms relative to numerical expressions, algebraic expressions, linear equations, or formulas, by being able to apply the necessary algebraic manipulations in order to simplify. He/She should be able to: 1. Identify polynomials and their degree. 2. Apply the rules of exponents to quantities involving exponents. 3. Add, subtract, and multiply polynomials. 4. Use the properties of equations to solve equations. 5. Use procedures for problem solving and the properties of equations to set up and solve problems involving equations. 6. Use the properties of inequalities and comparison to solve inequalities. a. Solve the inequality. b. Graph the solution set. D. The student will demonstrate mastery of algebraic algorithms relative to numerical expressions, and equations by being able to apply the necessary algebraic manipulations in order to use percents for problem solving. He/She should be able to: 1. Simplify ratios 2. Identity proportions 3. Use procedures for solving proportions to set up and solve problems. 4. Write percents as fractions and decimals. 5. Write decimals as percents and fractions. 6. Write fractions as decimals and percents. 7. Solve problems involving percents. E. The student will demonstrate mastery of algebraic algorithms relative to formulas for
measurement and problem solving. He/She should be able to: 1. Identify standard units of length, in the U.S. System and Metric System. 2. Find the perimeter of figures using formulas. a. Triangles b. Rectangles c. Squares d. Circles e. Trapezoids. f. Other shapes. 3. Find the areas of figures using formulas. a. Rectangles b. Squares. c. Parallelograms d. Triangles e. Trapezoids. f. Circles. g. Acre 4. Find the volume and capacity of figures using formulas. a. Cube. b. Box (parallelepiped) c. Use standard units of capacity. d. Relationship between volume and capacity. F. The student will demonstrate mastery of algebraic algorithms relative problem solving and equations by being able to apply the necessary algebraic manipulations in order to use percents for application problem solving. He/She should be able to 1. Find the complement. 2. Find the discount. 3. Find the sales price. 4. Find the sales tax. 5. Find the price including tax. 6. Find the simple interest. 7. Buy on credit. a. Amount of interest. b. Amount to be repaid (future value). c. Number of payments. d. Amount of each payment. e. APR (annual percentage rate). 8. Find the interest for credit card methods of calculating interest using the simple interest formula. a. Previous balance method. b. Adjusted balance method. c. Average daily balance method. 9. Find the compound interest using formulas. a. Number of compounding periods each year. b. Number of periods. c. Rate per period. d. Future value (compound interest). e. Present value formula. 10. Use formulas for buying a home. a. Find the Comparison rate. 1. interest rate. 2. origination fee. 3. points.
b. Monthly payment. c. Amount of a loan. d. The down payment and the amount to be financed. e. Maximum amount of a loan. f. Maimum monthly pay that you can afford. G. The student will demonstrate mastery of algebraic algorithms relative finding and understanding the definition and terminology of probability. He/She should be able to: 1. Identify an experiment. 2. Identify a sample space. 3. Identify an event. 4. Identify an impossible event. 5. Identify a simple event. 6. Do and use a tree diagram. 7. Identify a disjoint set. 8. Use the sample space for a pair of dice. 9. Use the sample space for a deck of cards. 10. Identify probabilities of unions and intersections. 11. Property of complements. 12. Fundamental counting principle. XI. 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. XII. 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. XIII. 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).