#### Accounting & Economics ►Accounting Math Professional Certificate Program with Externship

**Program includes National Certification & an Externship Opportunity**

- Course Duration: 6 Months
- Type: Certificate
- Languages: English
- Certifications : Included
- Externship : Included

#### The Accounting Math Professional

Increasingly, basic math – addition, subtraction, multiplication, etc. – is more and more useful in daily life. Despite the combination of letters and numbers, parentheses and exponents, algebra has just as much use as these basic functions not only in daily life, but in every job function as well. Likewise the ability to analyze and interpret data is more and more valued in this data- and information-driven world. At the root of this analysis lie the basic principles of statistics. Interpreting data for business – no matter what sector it is – is imperative to making informed decisions. And with information and data so much more widely available than ever before, there’s no excuse not to use this information to make sound business decisions every day. Algebra and statistics are fundamental skills individuals require for success regardless of the industry they enter, particularly in pursuing careers in Business or Computer Science.

#### The Accounting Math Professional Program

This program takes students through the fundamentals of algebra and statistics as well as their endless applications. Students will learn to solve multiple types of equations including both linear and quadratic functions and master the skills necessary to solve challenging word problems, including actual scenarios one encounters on the job. Further, this program will ensure students gain the skills necessary to perform complex statistical analysis of selected samples, understand how to choose the most applicable samples for study and draw conclusions from the analysis pulled from various data sets. Students will learn to gather multiple answers to questions posed every day in business using statistical distributions, probabilities, confidence intervals and more! Once able to build applicable statistical models and interpret the data pulled together, these skills will serve students in their future careers.

#### Program Objectives

At the conclusion of this program, students will be able to:

- Differentiate among various processes used in manipulating algebraic expressions
- Analyze algebraic equations and inequalities and evaluate a function
- Evaluate the relationship between functions and graphs illustrating functions
- Analyze polynomials & rational functions, evaluate exponential and logarithmic functions
- Apply various techniques to solve systems of linear equations and inequalities
- Analyze the factorial function and explain the fundamentals of a statistical study
- Describe data sets and their measures in different forms
- Use descriptive statistics to describe and make statements about the data set
- Describe a normal distribution and make calculations using z-scores
- Use inferential statistical tests to describe population parameters
- Construct confidence intervals and use them to interpret population means
- Formulate null and research hypotheses for claims made about population means
- Use an appropriate statistical technique to test a hypothesis
- Describe the linear association for a set of paired data
- Calculate and interpret the chi-square test of independence
- Use MS Excel to organize data and calculate statistical tests alongside Microsoft Office

**ALGEBRA FUNDAMENTALS**

- Simplify an algebraic expression by combining like terms
- Add, subtract, and multiply polynomial expressions
- Factor polynomial expressions
- Simplify rational expressions

**LINEAR EQUATIONS AND INEQUALITIES**

- Solve various forms of linear equations
- Solve linear and absolute value inequalities

**QUADRATIC AND OTHER EQUATIONS**

- Solve a quadratic equation by factoring, completing the square or the quadratic formula
- Solve higher-order polynomial equations by factoring
- Solve equations that contain radicals and exponents

**FUNCTION BASICS**

- Recognize function notation
- Evaluate a function at a value or at an algebraic expression
- Determine whether or not a given relationship is a function
- Determine whether or not a given graph represents a function
- Determine the domain and range of a function using a graph
- Identify the graphs of various common functions, including linear functions, absolute value functions, quadratic functions, square root functions and cubic functions

**ADVANCED FUNCTIONS**

- Determine the domain and range of a function algebraically
- Apply the rules of algebra for functions
- Determine the inverse of a function
- Apply transformations to the graphs of common functions
- Identify the graph of a function and its inverse

**FUNCTIONS OF POLYNOMIALS**

- Identify the graphs of various common functions including linear functions, absolute value functions, quadratic functions, square root functions and cubic functions
- Sketch the graph of a polynomial or rational function

**POLYNOMIAL AND RATIONAL FUNCTIONS**

- Solve various forms of linear equations
- Sketch the graph of a polynomial or rational function
- Solve a polynomial or rational inequality

**EXPONENTIAL AND LOGARITHMIC FUNCTIONS**

- Solve a polynomial or rational inequality
- Explain the inverse relationship of exponential and logarithmic functions
- Solve an exponential or logarithmic equation

**EXPONENTIAL AND LOGARITHMIC EQUATIONS AND MODELING**

- Solve an exponential or logarithmic equation
- Determine a model for data using exponential and logarithmic functions

**SYSTEMS OF EQUATIONS**

- Solve a system of linear equations in two or more variables
- Solve a system of linear inequalities graphically

**MATRICES**

- Solve a system of linear equations using matrices

**SERIES AND SEQUENCES**

- Determine the terms of a sequence
- Determine the sum of a series
- Justify statements about sequences and series using mathematical induction
- Expand binomials using the binomial theorem
- Apply the fundamental counting principle
- Distinguish between a combination and permutation

**INTRODUCTION TO STATISTICS – DEFINITIONS / TERMINOLOGY**

- Define the fundamental terms used in statistics
- Solve math problems using correct order of operations, fractions, and rounding
- Discuss variables and measurement scales
- Discuss experimental design

**DESCRIPTIVE STATISTICS – PART 1**

- Evaluate various data display methods
- Define frequency distribution
- Use frequency distributions to answer questions about the data
- Graph paired data sets using scatter plots
- Use graphs to describe data

**DESCRIPTIVE STATISTICS – PART 2**

- Define terms related to measures of variability
- Calculate the measures of central tendency and the measures of variability and interpret their meaning
- Calculate the first, second, and third quartiles, and calculate the interquartile range for a given data set
- Use the derived descriptive statistics to make accurate statements about the data set

**PROBABILITY**

- Explain basic terms and concepts in probability
- Distinguish between independent and dependent events
- Distinguish between two mutually exclusive events and independent events
- Compute probability outcomes

**NORMAL DISTRIBUTIONS AND STANDARD SCORES**

- Know the characteristics of a normal curve and a standardized normal curve
- Compute z-scores using raw data
- Calculate probabilities using the z-table and z-scores

**CONFIDENCE INTERVALS**

- Understand and apply the Central Limit Theorem to make inferences about the population
- Explain the basic terms in constructing confidence intervals
- Construct a confidence interval for a population mean using normal distribution and t-distribution

**HYPOTHESIS TESTING WITH ONE SAMPLE**

- Define the basic terms used in hypothesis testing
- Identify type I and type II errors of a hypothesis
- Conduct a t-test for one sample hypothesis testing
- Write null and research hypotheses, and determine if the research hypothesis is one tailed or two tailed

**HYPOTHESIS TESTING WITH TWO SAMPLES**

- Determine whether two samples are independent or dependent
- Conduct a two-sample t-test for difference between two population means using independent samples and interpret the results
- Conduct a two-sample t-test for dependent samples to test mean difference for a population of paired data and interpret the results
- Given a hypothesis, identify the appropriate statistical technique for testing it

**HYPOTHESIS TESTING FOR THREE OR MORE GROUPS**

- Discuss and interpret the F distribution
- Use one-way analysis of variance (ANOVA) for hypothesis testing
- Calculate and interpret F
- Determine when Tukey's HSD is to be used
- Perform the calculations necessary to calculate and interpret Q

**CORRELATION AND REGRESSION**

- Interpret the strength of a linear association between two variables in a scatter plot
- Calculate and interpret the correlation coefficient for a given data set
- Calculate and interpret the coefficient of determination for a given data set
- Construct a regression line for given data
- Use a regression equation for prediction of a population parameter
- Find and use the standard error of the estimate for a regression line

**CHI-SQUARE TEST OF INDEPENDENCE**

- Discuss how to use the chi-square distribution
- Calculate and interpret chi-square
- Identify situations in which the chi-square test of independence would be used

**USING EXCEL TO PERFORM STATISTICAL TESTS**

- Enter data into Excel
- Use the functions of Excel
- Use Excel to calculate and interpret means, standard deviations, and z-Scores
- Use Excel to calculate and interpret t, F, and r
- Use Excel to calculate a regression equation

**Note: This program can be completed in 6 months. However, students will have online access to this program for a 24-month period.**

**Education and National Certifications**

- Students should have or be pursuing a high school diploma or GED.
- There are no state approval and/or state requirements associated with this program.
- There is a National Certification exam available to students who successfully complete this program:
**Microsoft Office Specialist (MOS) Certification Exam.**

**National Certification**

Upon successful completion of this Auburn University program, students would be eligible to sit for the Microsoft Office Specialist (MOS) exam. Although there are no state approval, state registration or other state requirements for this program, students who complete this program at Auburn University will be prepared and are eligible to sit for this national certification exam. Students who complete this program are encouraged to complete the externship option with their program. Students who complete this program can and do sit for the MOS national certification exams and are qualified, eligible and prepared to do so. Auburn University works with each student to complete the exam application and register the student to take their national certification exam.

#### Externship / Hands on Training / Practicum

Although not a requirement, once students complete the program, they have the ability to participate in an externship and/or hands on practicum so as to practice the skills necessary to perform the job requirements of a professional in this field. Students will be assisted with completing a resume and/or other requirements necessary to work in this field. All students who complete this program are eligible to participate in an externship and will be placed with a participating organization near their location. Auburn University works with national organizations and has the ability to place students in externship opportunities nationwide.