MAT COURSE LEVEL OUTCOMES 1
SUBJECT
COURSE #
MAT
2
STUDENT LEARNING OUTCOMES
Student is able to evaluate problems using techniques of
differentiation.
Students can analyze graphs of functions.
Student is able to evaluate integrals using techniques of integration.
MAT
4
Students will be able to determine if a given set of vectors form a
basis for a vector space.
Students will use the Gram-Schmidt process to create an orthonormal
basis for a vector space.
Students will verify that a proposed inner product is properly defined.
MAT
5
Student is able to solve 2nd order differential equation, with forcing
function, using Method of Undetermined Coefficients.
Student is able to solve 2nd order differential equation, with forcing
function, using Power Series.
Student is able to solve 2nd order differential equation, with forcing
function, using Variation of Parameters.
Student is able to solve 2nd order differential equation, with forcing
function, using Laplace Transforms.
MAT
10
Student can solve congruence’s
Students can identify sets at different levels of infinity
Students can solve counting problems
MAT
12
Student is able to convert numbers in base 10 to other bases.
Student is able to identify patterns in numeric sequences.
Student is able to solve problems involving percent.
MAT
13
For a given data set students should be able to find mean, mode,
median, range, and standard deviation
Students should be able to create sample space for given events and
find probabilities.
MAT COURSE LEVEL OUTCOMES 2
Students should know about normal distribution and its applications.
Students should be able to do hypothesis testing.
MAT
16
Student is able to solve linear programming problems geometrically
and using the simplex method.
Student is able to solve counting problems and find probabilities by
using the multiplication principle, permutations and combinations
Student is able to apply the mathematics of finance to real world
problems involving simple interest and compound interest, annuities,
sinking funds, present value annuities, and amortizations
MAT
24
Student will be able to graph the six basic trigonometric functions, and
be able to identify changes in period, amplitude, and phase shift
Student will be able to solve trigonometric equations
Student will be able to solve applications related to vectors, bearing,
angles of elevation and depression, arc length, area of a sector, and
linear and angular velocity.
The student will be able to analyze and apply the most efficient
strategies to solve the following types of problems and judge the
reasonableness of the results: right and oblique triangles,
trigonometric equations and areas of triangles.
MAT
25
Student will find all roots of a 3rd degree polynomial.
Student is able to solve an exponential equation similar to 3+2^(x)=15.
Student is able to find the partial fraction decomposition for a rational
expression similar to 2/(x^3+ 8x^2 + 19x + 12).
Student will describe how the graph of y= - (x+2)^2+3 differs from the
graph of y=x^2 with respect to shifts of location and orientation.
Students will solve a logarithmic equation similar to
ln(x+2)+ln(x)=ln(x+20).
MAT COURSE LEVEL OUTCOMES 3
MAT
45
The student will select a topic for investigation and design a learning
plan with which to conduct the study.
The student will carry out the plan within the time allotted for the
project.
The student will present a comprehensive report of the execution and
findings of the project.
MAT
121
Given an equation students will choose a strategy and solve.
Given a linear equation students will graph, identify intercepts, and
identify slope.
Given an expression students will simplify it.
MAT
122
Use trigonometry to solve a right triangle.
Use similar triangles to solve an applied problem.
Prove a geometry theorem using deductive reasoning.
MAT
123
Given a logarithmic equation students will choose a strategy and
solve.
Students will be able to solve a 2x2 system of linear equations.
Given a quadratic equation students will graph, identify intercepts, and
the vertex.
MAT
200
The student will be able to successfully complete basic addition and
subtraction problems.
The student will be able to successfully use the order of operations to
simplify an arithmetic expression.
The student will be able to successfully factor a composite number
into prime factors.
MAT
201
Given an arithmetic expression, students will be able to simplify,
manipulate, and evaluate the arithmetic expression using the rules for
order of operation.
Given problems that model real-world situations, including problems
with fractions, decimals, ratios, and percent’s, students will choose a
strategy and solve.
MAT COURSE LEVEL OUTCOMES 4
Given standard geometric figures, students will calculate area,
perimeter, and volume.
MAT
205
Student exhibits improved proficiency in the specific skills and
concepts being reviewed and reinforced.
MAT
206
Student exhibits improved proficiency in the specific skills and
concepts being reviewed and reinforced.
MAT
301
Given an arithmetic expression, students will be able to simplify,
manipulate, and evaluate the arithmetic expression using the rules for
order of operation.
Given standard geometric figures, students will calculate area,
perimeter, and volume.
Given standard written statements, students will translate the
statements into mathematical expressions, then simplify them.
MAT
121L1
Students will recognize and use the properties of the real numbers.
Students will use the rules for order of operations to simplify
expressions.
Students will translate mathematically meaningful English phrases into
algebraic expressions.
MAT
121L2
Students will solve linear equations with one unknown.
Given a linear equation in two variables, students will graph, identify
intercepts, and identify slope.
Given two points on a line, students will calculate the slope and
determine the equation of the line.
Students will use linear equations to model real-life situations that
involve linear relationships.
MAT
121L3
Students will use the properties of exponents to simplify expressions.
Students will add, subtract, multiply, and divide polynomials.
Students will factor polynomials.
Students will use properties of exponents in solving real-world
problems.
MAT COURSE LEVEL OUTCOMES 5
MAT
121L4
Students will solve equations involving rational expressions.
Students will solve application problems involving rational
expressions.
Students will simplify radical expressions.
Students will solve equations involving radicals.
MAT
123L1
Students will be able to solve a system of linear equations graphically
(assessment tool is 2 equations in 2 unknowns)
Students will be able to solve a system of linear equations graphically
(assessment tool is 3 equations in 3 unknowns)
Students will be able to solve linear equations
Students will be able to solve and graph linear inequalities
MAT
123L2
Students will be able to state the Domain and Range and graph a
function.
Students will be able to factor a variety of algebraic expressions
Students will be able to solve a quadratic equation using the zerofactor theorem
Students will be able to solve an application problem using a quadratic
equation.
Students will be able to simplify an algebraic expression any of the
four operations.
Students will be able to interpret and solve a variation problem
MAT
123L3
Students will be able to simplify a complex fraction
Students will be able solve a rational equation
Students will be able to simplify a radical expression
Students will be able to simplify an algebraic expression with a
complex number
Students will be able to solve an equation containing rational numbers
Students will be able to graph a function f(x) =
MAT COURSE LEVEL OUTCOMES 6
Students will be able to solve an application problem by using and
solving a quadratic equation.
Students will be able to solve an application problem by using and
solving a rational equation.
MAT
123L4
Students will be able to solve and graph and absolute value equation
and/or inequality
Students will be able to graph a function and its inverse
Students will be able to solve logarithmic equations
Students will be able to graph and solve a system of non-linear
inequalities
Students will use quantitative and logical reasoning to analyze
information, evaluate ideas and solve problems
Students will be able to “name” an arithmetic or geometric sequence
and find any term in that sequence
Students will be able to solve and graph polynomial inequalities
Student will be able to solve an application problem by using and
solving either an exponential or logarithmic equation
MAT
151L1
Student is able to solve an application problem involving percentages.
Student is able to solve an application problem involving proportions.
Student is able to solve an application problem requiring multiple
arithmetic steps.
MAT
151L2
Student is able to use conversion factors to convert measurements to
different units.
Student is able to solve problems involving algebraic expressions,
formulas, and equations.
Student is able to solve problems involving positive and negative
exponents.
MAT
151L3
Student is able to apply formulas related to plane geometric figures.
MAT COURSE LEVEL OUTCOMES 7
Student is able to solve problems involving angles and angle
measurement.
Student is able to solve problems using basic principles of
trigonometry.
MAT
200L
The student will be able to successfully complete basic addition and
subtraction problems.
The student will be able to successfully use the order of operations to
simplify an arithmetic expression.
The student will be able to successfully factor a composite number
into prime factors.
MAT
201L1
Given an arithmetic expression, students will be able to simplify,
manipulate, and evaluate the arithmetic expression using the rules for
order of operation.
Given standard geometric figures, students will calculate area,
perimeter, and volume.
Given standard written statements, students will translate the
statements into mathematical expressions, then simplify them.
MAT
201L2
Given an equation involving integers and/or fractions that requires one
or two steps to solve, students will determine the correct solution.
Given standard geometric figures, students will calculate area,
perimeter, and volume.
Given standard written statements, students will translate the
statements into mathematical expressions, and then simplify them.
Given an equation involving integers and/or fractions that requires one
or two steps to solve, students will determine the correct solution.
MAT
201L3
Given problems that model real-world situations, including problems
with fractions, decimals, ratios, and percent’s, students will choose a
strategy and solve.
Given an arithmetic expression, students will be able to simplify,
manipulate, and evaluate the arithmetic expression using the rules for
order of operation.
Given a basic percent problem students will solve for one of the three
variables.
MAT COURSE LEVEL OUTCOMES 8
MAT
3A
Student will be able to use combinations of differentiation rules to
properly evaluate a derivative.
Student will be able to use the first and second derivatives to describe
the graph of a function.
Student will use a definite integral to find the area under a curve.
Student will be able to use integration to find a volume of rotation.
MAT
3B
Student will be able to use combinations of integration rules to
properly evaluate an indefinite integral.
Student will be able to use integration to solve an application problem.
Student will be able to use integration and differentiation to analyze
functions in polar form.
Student will be able to determine if a series converges.
MAT
3C
The student will be able to find minimum and maximum values for a
surface in 3 dimensions.
The student will be able to find the equation of a plane tangent to a
given surface at a given point.
The student will be able to evaluate double and triple integrals.
The student will be able to calculate the flux of a vector field over a
given surface.