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1 Course Syllabus POFT 1421 Business Math Revision Date: June 18, 2014 Catalog Description: Fundamentals of business mathematics including analytical and critical thinking skills. Lecture hours = 3, Lab hours = 1 Prerequisites: None Semester Credit Hours: 4 Lecture Hours per Week: 3 Lab Hours per Week: 3 Contact Hours per Semester: 96 State Approval Code: Instructional Goals and Purposes: The purpose of this course is to provide students with basic math skills useful in solving real-life business problems. Learning Objectives: 1. Solve basic math problems using whole numbers, fractions, decimals, percents, and equations. 2. Solve business math problems using equations. 3. Maintain checking accounts and prepare bank reconciliations. 4. Prepare invoices and calculate trade and cash discounts. 5. Calculate markups and markdowns. 6. Compute payroll. 7. Compute simple and compound interest. 8. Solve mortgage problems. 9. Complete depreciation problems. 10. Evaluate investments in stocks, bonds, and mutual funds. Specific Course Objectives (includes SCANS): After studying the material presented in the text and online, the student should be able to complete all behavioral/learning objectives listed below with a minimum competency of 70% on quizzes, the math notebook, and exams. 1. Solve basic math problems using whole numbers, fractions, decimals, and percents. (1a-i, 1a-ii, 1a-iii, 1a-iv, 1b-iii, 1b-vi, 2a-ii, 2c-iii, 2e-ii) a. Identify the place value of whole numbers. b. Read and write whole numbers in numerical and word form. c. Round whole numbers to a specified place value. d. Add, subtract, multiply, and divide whole numbers manually and using a calculator. e. Solve business math word problems using whole numbers. f. Identify a proper fraction, an improper fraction, and a mixed number. g. Convert a mixed number to an improper fraction. h. Convert an improper fraction to a mixed number.

3 c. Calculate the selling price when cost and percent markup based on cost are known. d. Calculate the cost when selling price and percent markup based on cost are known. e. Calculate percent markup based on selling price. f. Calculate selling price when cost and percent markup based on selling price are known. g. Calculate cost when selling price and percent markup based on selling price are known. h. Convert percent markup based on cost to percent markup based on selling price, and vice versa. i. Determine the amount of markdown and the markdown percent. j. Determine the selling price after a markdown and the original price before a markdown. k. Compute the final selling price after a series of markups and markdowns. l. Calculate the selling price of perishable goods. 6. Compute payroll. (1a-i, 1a-iii, 1a-iv, 1b-vi, 2a-i, 2a-ii, 2d-i, 2e-ii) a. Calculate salary on the basis of weekly, biweekly, semimonthly, and monthly pay periods. b. Calculate gross pay by hourly wage, including regular and overtime pay. c. Calculate gross pay by straight and differential piecework schedules. d. Calculate gross pay by straight and incremental commission, salary plus commission, and drawing accounts. e. Compute FICA taxes, both social security and Medicare, withheld from an employee's paycheck. f. Calculate an employee's federal income tax withholding (FIT) by the percentage method. g. Determine an employee's total withholding for federal income tax, social security, and Medicare using the combined wage bracket tables. h. Compute FICA tax for employers and self-employment tax for self-employed persons. i. Compute the amount of state unemployment taxes (SUTA) and federal unemployment taxes (FUTA). j. Calculate an employer's fringe benefit expenses. k. Review Internal Revenue Service payroll forms. 7. Compute simple and compound interest. (1a-i, 1a-iii, 1a-iv, 1b-vi, 2a-i, 2a-ii, 2e-ii) a. Compute simple interest for loans with terms of years or months. b. Calculate simple interest for loans with terms of days by using exact interest or ordinary interest methods. c. Calculate the maturity value of a loan. d. Calculate the number of days of a loan. e. Determine the maturity date of a loan. f. Solve for the principal, rate, or time. g. Calculate loans involving partial payments before maturity. h. Calculate bank discount and proceeds for simple discount notes. i. Calculate the true or effective rate of interest for a simple discount note. j. Discount notes before maturity. k. Manually calculate the compound amount (future value) and compound interest. l. Compute the compound amount (future value) and compound interest using the compound interest tables. m. Create compound interest table factors for periods beyond the table. n. Calculate the annual percentage yield (APY) or effective interest rate. o. Calculate the compound amount by using the compound interest formula. p. Calculate the present value of a future amount by using the present value tables. q. Create present value table factors for periods beyond the table. r. Calculate the present value of a future amount by using the present value formula. 8. Solve mortgage problems. (1a-i, 1a-iii, 1a-iv, 1b-vi, 2a-i, 2a-ii, 2e-ii) a. Calculate the monthly payment and total interest paid on a fixed-rate mortgage. b. Prepare a partial amortization schedule of a mortgage. c. Calculate the monthly PITI of a mortgage loan. d. Review closing costs and calculate the amount due at closing. e. Calculate the interest rate of an adjustable-rate mortgage. f. Calculate the potential amount of credit available to a borrower. g. Calculate the housing expense ratio and the total obligations ratio of a borrower. 3

6 SCANS CRITERIA 1) Foundation skills are defined in three areas: basic skills, thinking skills, and personal qualities. a) Basic Skills: A worker must read, write, perform arithmetic and mathematical operations, listen, and speak effectively. These skills include: i) Reading: locate, understand, and interpret written information in prose and in documents such as manuals, graphs, and schedules. ii) Writing: communicate thoughts, ideas, information, and messages in writing, and create documents such as letters, directions, manuals, reports, graphs, and flow charts. iii) Arithmetic and Mathematical Operations: perform basic computations and approach practical problems by choosing appropriately from a variety of mathematical techniques. iv) Listening: receive, attend to, interpret, and respond to verbal messages and other cues. v) Speaking: Organize ideas and communicate orally. b) Thinking Skills: A worker must think creatively, make decisions, solve problems, visualize, know how to learn, and reason effectively. These skills include: i) Creative Thinking: generate new ideas. ii) Decision Making: specify goals and constraints, generate alternatives, consider risks, and evaluate and choose the best alternative. iii) Problem Solving: recognize problems and devise and implement plan of action. iv) Visualize ("Seeing Things in the Mind's Eye"): organize and process symbols, pictures, graphs, objects, and other information. v) Knowing How to Learn: use efficient learning techniques to acquire and apply new knowledge and skills. vi) Reasoning: discover a rule or principle underlying the relationship between two or more objects and apply it when solving a problem. c) Personal Qualities: A worker must display responsibility, self-esteem, sociability, selfmanagement, integrity, and honesty. i) Responsibility: exert a high level of effort and persevere toward goal attainment. ii) Self-Esteem: believe in one's own self-worth and maintain a positive view of oneself. iii) Sociability: demonstrate understanding, friendliness, adaptability, empathy, and politeness in group settings. iv) Self-Management: assess oneself accurately, set personal goals, monitor progress, and exhibit self-control. v) Integrity and Honesty: choose ethical courses of action. 2) Workplace competencies are defined in five areas: resources, interpersonal skills, information, systems, and technology. a) Resources: A worker must identify, organize, plan, and allocate resources effectively. i) Time: select goal-relevant activities, rank them, allocate time, and prepare and follow schedules. ii) Money: Use or prepare budgets, make forecasts, keep records, and make adjustments to meet objectives. iii) Material and Facilities: Acquire, store, allocate, and use materials or space efficiently. Examples: construct a decision time line chart; use computer software to plan a project; prepare a budget; conduct a cost/benefits analysis; design an RFP process; write a job description; develop a staffing plan. b) Interpersonal Skills: A worker must work with others effectively. i) Participate as a Member of a Team: contribute to group effort. ii) Teach Others New Skills. iii) Serve Clients/Customers: work to satisfy customer's expectations. 6

7 iv) Exercise Leadership: communicate ideas to justify position, persuade and convince others, responsibly challenge existing procedures and policies. v) Negotiate: work toward agreements involving exchange of resources, resolve divergent interests. vi) Work with Diversity: work well with men and women from diverse backgrounds. Examples: collaborate with a group member to solve a problem; work through a group conflict situation, train a colleague; deal with a dissatisfied customer in person; select and use appropriate leadership styles; use effective delegation techniques; conduct an individual or team negotiation; demonstrate an understanding of how people from different cultural backgrounds might behave in various situations. c) Information: A worker must be able to acquire and use information. i) Acquire and Evaluate Information. ii) Organize and Maintain Information. iii) Interpret and Communicate Information. iv) Use Computers to Process Information. Examples: research and collect data from various sources; develop a form to collect data; develop an inventory record-keeping system; produce a report using graphics; make an oral presentation using various media; use on-line computer data bases to research a report; use a computer spreadsheet to develop a budget. d) Systems: A worker must understand complex interrelationships. i) Understand Systems: know how social, organizational, and technological systems work and operate effectively with them. ii) Monitor and Correct Performance: distinguish trends, predict impacts on system operations, diagnose deviations in systems' performance and correct malfunctions. iii) Improve or Design Systems: suggest modifications to existing systems and develop new or alternative systems to improve performance. Examples: draw and interpret an organizational chart; develop a monitoring process; choose a situation needing improvement, break it down, examine it, propose an improvement, and implement it. e) Technology: A worker must be able to work with a variety of technologies. i) Select Technology: choose procedures, tools or equipment including computers and related technologies. ii) Apply Technologies to Task: understand overall intent and proper procedures for setup and operation of equipment. iii) Maintain and Troubleshoot Equipment: Prevent, identify, or solve problems with equipment, including computers and other technologies. Examples: read equipment descriptions and technical specifications to select equipment to meet needs; set up and assemble appropriate equipment from instructions; read and follow directions for troubleshooting and repairing equipment. 7

### Specific Course Objectives (includes SCANS): After studying all materials and resources presented in the course, the student will be able to:

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