 DU Competency Test Descriptions

## ENGL021/109

The test is divided into two parts: Reading and Writing. The Davenport University Reading Test assesses reading comprehension skills. The Davenport University Writing Test assesses knowledge of writing skills including grammar, punctuation, plagiarism, modes of writing, and other writing basics. Each test must be completed once it is begun. Both tests are timed. Students will have 1 hour to complete the Reading test and 2 hours to complete the Writing test.

### Topics on the Reading test include:

• Reading closely and understanding multiple types of texts
• Determining central ideas and themes
• Summarizing information
• Understanding relationships
• Analyzing word choice, text structure, point of view, purpose and arguments
• Vocabulary

### Topics on the Writing test include:

• Organization: introductions, conclusions, transitions, and topic sentences
• Support and focus; logical sequence
• Sentence structure: syntax; subordination and coordination; end of sentence punctuation; within sentence punctuation; verb tenses; subject-verb agreement; pronoun agreement and clarity; nonrestrictive and parenthetical elements; word usage
• Grammar and punctuation: parallel structure; modifier placement; items in a series; possessives; hyphenation; unnecessary punctuation
• Vocabulary: concision; word choice; frequently confused words; conventional expressions; connotation and denotation of words; style and tone
• Source evaluation and use: evaluating sources; summary, quotation and paraphrase; plagiarism

## MATH030

### Elementary Algebra

The test contains 30 questions – some are multiple choice, and some are fill-in-the-blank. You may use a calculator (graphing or non-graphing), and scrap paper to work out problems. The test is timed and must be completed in 90 minutes.

### Topics on the test include:

• Order of operations
• Evaluating expressions
• Adding, subtracting, multiplying, and factoring polynomials
• Simplifying expressions with exponents
• Solving linear equations, linear inequalities, and systems of linear equations
• Application problems involving linear equations
• Graphing points and lines
• Writing the equation of a line in slope-intercept form

## MATH120

### College Mathematics

The test contains 30 multiple choice questions. You may use a calculator (graphing or non-graphing), and scrap paper to work out problems. The test is timed and must be completed in 90 minutes.

### Topics on the test include:

• Set theory and set operations
• Simplifying expressions with exponents
• Solving linear equations, linear inequalities, and systems of linear equations
• Application problems involving direct and inverse variation
• Graphing and solving linear, quadratic, and exponential functions
• Application problems involving linear, quadratic, and exponential functions
• Counting techniques including permutations and combinations
• Applications problems involving probability of compound events

## MATH135

### College Algebra

The test contains 30 multiple choice questions. You may use a calculator (graphing or non-graphing), and scrap paper to work out problems. The test is timed and must be completed in 90 minutes.

### Topics on the test include:

• Polynomials: properties, operations, finding zeros.
• Rational functions: domain, range, simplifying, solving, graphing
• Distance formula and equation of a circle
• Graphing and solving linear, quadratic, and exponential functions
• Operations with functions including composition of functions, and odd/even functions
• Operations on imaginary and complex numbers
• Properties of logarithmic functions

## MATH150

### Pre-Calculus

The test contains 30 multiple choice questions. You may use a calculator (graphing or non-graphing), and scrap paper to work out problems. The test is timed and must be completed in 90 minutes.

### Topics on the test include:

• Polynomials: properties, operations, finding zeros.
• Rational functions: domain, range, simplifying, solving, graphing
• Distance formula and equation of a circle
• Graphing and solving linear, quadratic, and exponential functions
• Operations with functions including composition of functions, and odd/even functions
• Operations on imaginary and complex numbers
• Properties of logarithmic functions
• Solving a right triangle using trigonometric functions
• Simplify and identify properties of trigonometric functions

## STAT219/220

### Intro to Biostatistics / Intro to Statistics

The test contains 30 multiple choice questions. You may use a calculator (graphing or non-graphing), and scrap paper to work out problems. A table of probabilities from the standard normal and student t-distribution will be provided. The test is timed and must be completed in 120 minutes.

### Topics on the test include:

• Graphical summaries of data including histograms, scatterplots, pie charts, dot plots, and box-plots
• Interpret descriptive statistics including mean, median, mode, standard deviation, and the 5-number summary
• Measures of relative position including z-scores and percentiles
• Interpreting correlation and regression analysis including correlation coefficient, R-square, regression coefficients, and residuals
• Understanding of probability including compound events and independence
• Problems using the normal probability distribution and the Empirical Rule
• Sampling distribution of the mean and proportion and the Central Limit Theorem
• Confidence intervals
• Hypothesis testing of one and two sample means or proportions