 
MAC 1105 Course and Unit Learning Outcomes
Here you can review the College
Algebra general and unitspecific learning outcomes. You will be able to meet
these learning outcomes by completing (satisfactorily) the weekly tasks
specified on the course schedule.
Course Learning Outcomes
Unit Learning Outcomes
After the successful completion of the corresponding units throughout the
course, the student will be able to:
Unit 1
 Find the intercepts of a linear equation. 
 Construct graphs of linear equations. 
 Select appropriate viewing windows for graphs of linear functions 
 Determine the slope of a line under various conditions. 
 Determine the slopeintercept form of a linear equation given various
data such as: slope and yintercept, a coordinate and slope, two
coordinates. 
 Determine and apply the pointslope form and the standard form of a
line. 
 Determine the slope of a line under various conditions. 
 Write equations of lines in slopeintercept form, pointslope form, and
standard form. 
 Find and interpret slope as rate of change in the context of a problem. 
 Find and interpret the yintercept in the context of a problem. 
 Identify functions from verbal and algebraic descriptions, tables, and
graphs. 
 Identify and use function notation. 
 Evaluate a function expressed verbally, numerically, and graphically. 
 Identify properties of parallel and perpendicular lines. 
 Determine whether two lines are parallel, perpendicular, or neither. 
 Find equations of horizontal, vertical, parallel, and perpendicular
lines, 
and graph the corresponding lines.
 Determine the domain and range of a function algebraically. 
 Recognize whether or not a given function is increasing, decreasing, or
constant and model the behavior graphically. 
 Retrieve information about a function from its graph: domain, range;
increasing and decreasing intervals; output given an input and vice versa. 
 Apply linear models to real world situations. 
Unit 2
 Solve a system of linear equations graphically and through symbolic
methods, including substitution and elimination. 
 Recognize consistent, inconsistent, independent, and dependent system of
equations. 
 Apply systems of linear equations to real world situations. 
 Solve linear inequalities in two variables. 
 Apply linear inequalities to real world situations. 
Unit 3
 Recognize basic functions and their graphs. 
 Identify graphs as variations of basic functions. 
 Graph various families of functions. 
 Identify and find zeros of functions. 
 Determine whether a given function is even, odd, or neither. 
 Use transformations to graph a function. 
 Determine the relative minima and relative maxima, absolute maximum and
absolute minimum of functions. 
 Find average rate of change. 
 Calculate the difference quotient. 
 Recognize and graph piecewisedefined functions. 
 Apply nonlinear models to real world situations. 
Unit 4
 Solve quadratic equations by different methods: factoring, square root,
quadratic formula, graphing. 
 Given a quadratic equation, find the
discriminant and state the nature of the solutions. 
 Given a quadratic function, determine:
concavity, vertex as maximum or minimum value, axis of symmetry, intercepts,
width (narrow/wide); increasing and decreasing intervals. 
 Graph parabolas. 
 Find the equation of a parabola given the
vertex and a second point, or given its graph. 
 Find average rate of change. 
 Solve quadratic inequalities by graphing. 
 Apply quadratic models to real world
situations. 
Unit 5
 Determine whether a function is onetoone. 
 Make a table of values for a given function
and its inverse. 
 Given a function, find its
inverse. 
 Graph inverse functions. 
 Perform basic operations on
functions and find composite functions. 
 Determine algebraically whether two given
functions are inverses of each other. 
Unit 7
 Recognize polynomial functions and their properties. 
 Given a polynomial function: write it in
descending order, find the degree, and identify the leading term and leading
coefficient. 
 Given a polynomial function, identify the
zeros and corresponding multiplicity. 
 Determine if a given binomial is a factor
of a polynomial function. 
 Determine the end behavior of polynomial functions 
 Determine the intercepts of polynomial functions 
 Determine the real zeros of polynomial functions and their
multiplicities. 
 Given the graph of a polynomial function, find: the number of turning
points, zeros, whether the graph represents an odd or even degree function. 
 Determine the equation of a polynomial
function given its graph. 
 Graph polynomial functions. 
 Determine the domain of a rational function. 
 Determine asymptotes of a rational function. 
Unit 6
 Recognize and graph exponential functions. 
 Find an exponential function given its
graph. 
 Given an exponential function, find: the
initial value, growth or decay factor, and percent increase or decrease. 
 Recognize and graph logarithmic functions. 
 Evaluate logarithmic expressions. 
 Recognize and apply properties of logarithms. 
 Convert exponential equations to logarithmic form and vice versa. 
 Find the inverse function of an exponential function; of a logarithmic
function. 
 Identify and apply
natural exponential and logarithmic functions. 
 Compute common and natural logarithms. 
 Solve exponential and logarithmic
equations. 
 Apply the change of base formula. 
 Apply exponential and logarithmic models to real world situations. 
All Units:
 Use mathematical reasoning and common sense to evaluate answers and
decide whether or not they are reasonable and logically support the
conclusion. 
 Perform all arithmetic operations
using the graphing calculator. 
 Use the graphing calculator to graph any given equation or function
using an appropriate window. 
 Demonstrate knowledge of a variety of graphing utility features. 
