Department of Mathematics

Developmental and Stretch Mathematics Sequence

Learning Outcomes for DVMT 101 and MATH 102

DVMT 101 covers units 1 and 2, and MATH 102 covers units 3 and 4. Here are the descriptions of the units.

Unit 1.
The student will be able to:

• Evaluate a numerical expression by applying the rules for order of operations.
• Evaluate algebraic expressions.
• Simplify algebraic expressions by combining like terms.
• Determine whether a number is a solution of an equation.
• Solve linear equations having common fractions, decimal fractions, grouping symbols, formulas.
• Translate English phrases/sentences into algebraic expressions/equations.
• Solve word problems using linear equations.
• Write the coordinates of a point on a graph.
• Determine whether an ordered pair is a solution of an equation.
• Graph a linear equation written in a variety of forms.
• Determine the intercepts, domain and range of a relation given a graph • Determine the slope of a line from its equation or graph.
• Determine the equation of a line in standard form, slope intercept form, and point slope form.
• Determine the equation of a line perpendicular or parallel to a given line through a given point.
• Solve direct and inverse variation problems.
• Solve percent problems.
• Solve for one variable in an equation with more than one variable.
• Graph linear inequalities.
• Solve linear inequalities and express the solution in interval notation and set builder notation.

Unit 2.
The student will be able to:

• Determine whether an ordered pair is a solution of a system of equations or inequalities.
• Solve a system of equations by graphing, substitution, and addition method.
• Solve a word problem by using a system of equations.
• Graph the solutions of a system of inequalities.
• Use the laws for exponents.
• Evaluate numerical expressions with negative exponents.
• Evaluate literal expressions involving negative numbers and fractions.
• Add, subtract, multiply and divide polynomials.
• Write numbers using scientific notation.

Unit 3.
The student will be able to:

• Factor completely using: GCF, grouping, difference of 2 squares, and trinomials.
• Determine the points where a rational function is not defined.
• Simplify a rational expression.
• Find the LCD of a sum or difference of rational functions.
• Add, subtract, multiply and divide rational expressions.
• Simplify complex fractions.
• Differentiate between expressions, functions, and rational equations.
• Solve rational equations.

Unit 4.
The student will be able to:

• Graph functions
• Determine domain, range, and intercepts for a given function.
• Determine whether a relation is a function and name the test.
• Simplify a function with a literal input.
• Identify input and output for a function given as f(a) = b.
• List as ordered pairs points that satisfy a given function.
• Graph a linear function.
• Simplify radicals.
• Operate on radicals.
• Evaluate numerical expressions with negative or rational exponents.
• Use laws of exponents to simplify expressions.
• Solve quadratic equations by using the quadratic formula.

Department of Mathematics
7800 York Road, Room 316 (campus map)
Hours: Monday - Friday, 8:30 a.m. – 5 p.m.

Phone: 410-704-3091
Fax: 410-704-4149
E-mail: math@towson.edu