COURSE DESCRIPTION
The course includes a study of functions and their graphs
including
polynomial, rational, inverse, exponential and logarithmic functions as well
as systems of equations in three variables, and rules of exponents. Problem
solving strategies are emphasized.
COURSE PREREQUISITES
Prior to this course, a student should have earned a grade
of "C" or better
in an intermediate algebra course such as MATH 107-Intermediate
Algebra within the last two years or scored 109-120 on the elementary
algebra portion or 63-85.9 on the college level math portion of the
Accuplacer placement exam within the last year.
COURSE OBJECTIVES
At the end of the course, the student should have a
working knowledge of
the following content areas:
1. Function – the use of function notation and vocabulary, as well as
perform operations on functions.
2. The basic concepts of graphing functions.
3. Solve various types of equations.
4. Model/solve real-world problems.
Objective 1
Upon completion of the course, the student should be
able to
demonstrate an understanding of function, the use of function notation
and vocabulary, and perform operations on functions.
1-1 – Determine if a relation is a function.
1-1-1 Given a table of values, a set of ordered pairs, an equation, a
graph, or a description, determine if the information is a
function.
1-1-2 Determine the center and radius of a circle by first putting the
equation of the circle in standard form using completing the
square.
1-2 – Correctly use function notation and the vocabulary related to
functions.
1-2-1 Find the value of a function for a given domain value or
expression .
1-2-2 Determine the domain and range of a function.
1-2-3 Determine the symmetry of a function and if it is odd, even
or neither.
1-2-4 Determine the vertex, axis of symmetry, maximum or
minimum, and intercepts of a quadratic function.
1-2-5 Determine if a function is one-to-one.
1-2-6 Determine the inverse of a function.
1-3 – Perform operations on functions.
1-3-1 Add, subtract , multiply , and divide functions .
1-3-2 Find the composite of two or more functions.
1-3-3 Compute the difference quotient for a function.
Objective 2
Upon completion of the course, the student should
understand the basic
concepts of graphing functions.
2-1 – Sketch the graph of a quadratic function by plotting
points and using
intercepts.
2-2 – Sketch polynomial functions of degree three or higher making use of
leading term properties and x - and y- intercepts.
2-3 – Sketch rational functions making use of asymptotes, intercepts, and
symmetry.
2-4 – Sketch absolute value functions making use of basic transformation
techniques (horizontal and vertical shifts, reflections, stretches, and
compressions).
2-5 – Sketch radical functions ( square root ) making use of basic
transformation techniques.
2-6 – Sketch exponential functions making use of basic transformation
techniques.
2-7 – Sketch logarithmic functions making use of basic transformation
techniques.
Objective 3
Upon completion of the course, the student should be
able to solve
various kinds of equations.
3-1 – Solve quadratic equations by using factoring , the square root
method, completing the square, and the quadratic formula .
3-2 – Solve equations containing exponential expressions.
3-3 – Solve equations containing logarithmic expressions.
3-4 – Solve a system of two or three linear equations .
Objective 4
Upon completion of the course, the student should be
able to model/
solve real-world problems.
4-1 – Use and understand slope as a rate of change .
4-2 – Solve application problems involving the maximization or minimization of a
quadratic function.
4-3 – Solve applied problems involving direct, inverse, and joint variation.
4-4 – Apply the knowledge of functions to solve application problems.
4-5 – Use systems of equations to solve application problems.
4-6 – Solve compound interest problems.
4-7 – Solve exponential growth and decay problems.
COURSE SCHEDULE
The Course Schedule on the Blackboard Vista course
homepage should be
followed each week throughout the semester and should be printed off for
easy reference. Several sections in the e-book (electronic book within
MyMathLab) will be as signed each week and must be completed by Sunday
at midnight, MST. Allow time to meet deadlines – do not wait until the last
minute to complete your assignments since odd things happen in cyberspace
such as servers disconnecting temporarily, etc. Try to begin the assignments
at the beginning of the week so that if problems arise, there is still time to
seek assistance from your instructor, our math tutors, or the on line tutors
available through MyMathLab.
Work received up to one week after the weekly deadline will be penalized
10%, and no credit will be given to assignments more than a week over due.
Students who do not log in and who do not communicate with their
instructor either through email or by phone may be administratively
withdrawn from the class. However, it is ultimately the student’s
responsibility to withdraw from the course if circumstances warrant it.
Refer to the college catalog for the procedure to withdraw from a class.
GRADING POLICY
Your course average will be determined from four
components as follows:
Homework
20% After reading and completing activities in the
e-book, students will
complete an online homework assignment. Because math is learned by
doing, the homework assignment may be reworked as many times as
necessary until at least a grade of 80% is attained. The highest homework
score of each assignment will be recorded for the homework grade.
