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MAC 1105 Course and Unit Learning Outcomes


Here you can review the College Algebra general and unit-specific 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

bulletThe student will be able to use processes, procedures, data, or evidence to solve problems and make effective decisions.

bulletStudent will be able to read and comprehend data and information from a problem.
bulletStudent will be able to recognize relevant data, translate data/information to a usable form and find algebraic models that describe the situation.
bulletStudent will be able to analyze and apply appropriate strategies to find solutions to the problem.
bulletStudent will be able to interpret the solutions and draw well supported conclusions.


bulletThe student will be able to use functions and functions concepts to analyze and model realistic situations.

bulletStudent will be able to describe and analyze relationships between variable quantities in numerical, symbolic and graphical forms.
bulletStudent will be able to apply function concepts such as domain and range, intercepts and inverse functions to realistic problems.
bulletStudent will be able to use operations on and transformations of functions to analyze and apply each of the families of functions.


bulletThe student will be able to use appropriate technological tools to analyze and model realistic situations.

bulletStudent will be able to use graphing calculators to graph functions.
bulletStudent will be able to use graphing calculators to find functions that best model data sets.
bulletStudent will be able to use graphing calculators to solve equations and inequalities.


Unit Learning Outcomes

 After the successful completion of the corresponding units throughout the course, the student will be able to:

Unit 1

bulletFind the intercepts of a linear equation.
bulletConstruct graphs of linear equations.
bulletSelect appropriate viewing windows for graphs of linear functions
bulletDetermine the slope of a line under various conditions.
bulletDetermine the slope-intercept form of a linear equation given various data such as: slope and y-intercept, a coordinate and slope, two coordinates.
bulletDetermine and apply the point-slope form and the standard form of a line.
bulletDetermine the slope of a line under various conditions.
bulletWrite equations of lines in slope-intercept form, point-slope form, and standard form.
bulletFind and interpret slope as rate of change in the context of a problem.
bullet Find and interpret the y-intercept in the context of a problem.
bullet Identify functions from verbal and algebraic descriptions, tables, and graphs.
bulletIdentify and use function notation.
bulletEvaluate a function expressed verbally, numerically, and graphically.
bulletIdentify properties of parallel and perpendicular lines.
bulletDetermine whether two lines are parallel, perpendicular, or neither.
bulletFind equations of horizontal, vertical, parallel, and perpendicular lines,

and graph the corresponding lines.

bulletDetermine the domain and range of a function algebraically.
bulletRecognize whether or not a given function is increasing, decreasing, or constant and model the behavior graphically.
bulletRetrieve information about a function from its graph: domain, range; increasing and decreasing intervals; output given an input and vice versa.
bulletApply linear models to real world situations.

Unit 2

bulletSolve a system of linear equations graphically and through symbolic methods, including substitution and elimination.
bulletRecognize consistent, inconsistent, independent, and dependent system of equations.
bulletApply systems of linear equations to real world situations.
bulletSolve linear inequalities in two variables.
bulletApply linear inequalities to real world situations.


Unit 3

bulletRecognize basic functions and their graphs.
bulletIdentify graphs as variations of basic functions.
bulletGraph various families of functions.
bulletIdentify and find zeros of functions.
bulletDetermine whether a given function is even, odd, or neither.
bulletUse transformations to graph a function.
bulletDetermine the relative minima and relative maxima, absolute maximum and absolute minimum of functions.
bulletFind average rate of change.
bulletCalculate the difference quotient.
bulletRecognize and graph piecewise-defined functions.
bulletApply non-linear models to real world situations.

Unit 4

bulletSolve quadratic equations by different methods: factoring, square root, quadratic formula, graphing.
bulletGiven a quadratic equation, find the discriminant and state the nature of the solutions.
bulletGiven a quadratic function, determine: concavity, vertex as maximum or minimum value, axis of symmetry, intercepts, width (narrow/wide); increasing and decreasing intervals.
bulletGraph parabolas.
bulletFind the equation of a parabola given the vertex and a second point, or given its graph.
bulletFind average rate of change.
bulletSolve quadratic inequalities by graphing.
bulletApply quadratic models to real world situations.

Unit 5

bulletDetermine whether a function is one-to-one.
bulletMake a table of values for a given function and its inverse.
bullet Given a function, find its inverse.
bulletGraph inverse functions.
bullet Perform basic operations on functions and find composite functions.
bulletDetermine algebraically whether two given functions are inverses of each other.

Unit 7

bulletRecognize polynomial functions and their properties.
bulletGiven a polynomial function: write it in descending order, find the degree, and identify the leading term and leading coefficient.
bulletGiven a polynomial function, identify the zeros and corresponding multiplicity.
bulletDetermine if a given binomial is a factor of a polynomial function.
bulletDetermine the end behavior of polynomial functions
bulletDetermine the intercepts of polynomial functions
bulletDetermine the real zeros of polynomial functions and their multiplicities.
bulletGiven the graph of a polynomial function, find: the number of turning points, zeros, whether the graph represents an odd or even degree function.
bulletDetermine the equation of a polynomial function given its graph.
bulletGraph polynomial functions.
bulletDetermine the domain of a rational function.
bulletDetermine asymptotes of a rational function.

Unit 6

bulletRecognize and graph exponential functions.
bulletFind an exponential function given its graph.
bulletGiven an exponential function, find: the initial value, growth or decay factor, and percent increase or decrease.
bulletRecognize and graph logarithmic functions.
bulletEvaluate logarithmic expressions.
bulletRecognize and apply properties of logarithms.
bulletConvert exponential equations to logarithmic form and vice versa.
bulletFind the inverse function of an exponential function; of a logarithmic function.
bulletIdentify and apply natural exponential and logarithmic functions.
bulletCompute common and natural logarithms.
bulletSolve exponential and logarithmic equations.
bulletApply the change of base formula.
bulletApply exponential and logarithmic models to real world situations.

All Units:

bulletUse mathematical reasoning and common sense to evaluate answers and decide whether or not they are reasonable and logically support the conclusion.
bulletPerform all arithmetic operations using the graphing calculator.
bulletUse the graphing calculator to graph any given equation or function using an appropriate window.
bulletDemonstrate knowledge of a variety of graphing utility features.