COURSE DESCRIPTION:
Not for math majors. Equations, inequalities, functions, matrices, linear
programming including the simplex method, probability, and statistics.
COURSE MEASURABLE LEARNING OUTCOMES:
Upon completion of this course the students should be able
to do the following:
1. Solve linear and quadratic equations with
applications to business and economics.
2. Classify and graph linear, quadratic, polynomial and other special
functions.
3. Use appropriate mathematical models to solve applications in business
and economics.
4. Use matrices to solve systems of linear equations with applications to
business and economics.
5. Solve exp onential and logarithmic equations with applications to
business, economics, and finance.
6. Compute probabilities of events and apply to decision making problems
in business and economics.
COURSE REQUIREMENTS:
Attending lectures, completing assignments, completing
required exams and labs, and knowledge of calculator use are all required.
COURSE FORMAT:
Lecture, lab and guided practice.
METHOD OF EVALUATION:
A minimum of four written exams, a lab component grade,
and a com prehensive final exam. Homework and/or quizzes may be used in place of
one exam or in addition to exams . The weight of each of these components of
evaluation will be specified in the in dividual instructor ’s addendum to this
syllabus. All out-of-class course credit, including take-home exams, home
assignments, service-learning, etc. may not exceed 25% of the total course
grade; thus, at least 75% of a student’s grade must consist of exams given in
the class or testing center,and no student may retake any of these exams.
COURSE REPEAT POLICY:
All students may repeat this course only once after
receiving a grade, including W. For example students who have taken this course
twice have to choose a different course to take after two trials .
ADA STATEMENT:
It is the policy of Collin County Community College to
provide reasonable and appropriate accommodations for individuals with
documented disabilities. This college will adhere to all applicable federal and
state laws , regulations, and guidelines with respect to providing reasonable
accommodations as required to afford equal educational opportunity. It is the
responsibility of the student to contact the ACCESS office located in room G200
at the Spring Creek Campus (972)881- 5898 or TDD(972)881-5950, in a timely
manner if he/she desires to arrange for accommodations.
ATTENDANCE POLICY:
Attendance is expected of all students. If a student is
unable to attend it is his/her responsibility to contact the instructor to
obtain assignments. Please see the schedule of classes for the last day to
withdraw.
RELIGIOUS HOLY DAYS:
In accordance with section 51.911 of the Texas Education
Code, the college will allow a student who is absent from class for the
observance of a religious holy day to take an examination or complete an
assignment scheduled for that day within a reasonable time. A copy of the state
rules and procedures regarding holy days and the form for notification of
absence from each class under this provision are available from the Admissions
and Records Office.
ACADEMIC ETHICS:
The college may initiate disciplinary proceedings against
a student accused of scholastic dishonesty. Scholastic dishonesty includes, but
is not limited to, statements, acts, or omissions related to applications for
enrollment or the award of a degree, and/or the submission of material as one’s
own work that is not one’s own. Scholastic dishonesty may involve one or more of
the following acts: cheating, plagiarism, collusion, and/or falsifying academic
records.
Cheating is willful giving or receiving of information in
an unauthorized manner during an examination, illicitly obtaining examination
questions in advance, using someone else’s work for assignments as if it were
one’s own, copying computer disks or files, and any other dishonest means of
attempting to fulfill the requirements of a course.
Plagiarism is the use of an author’s words or ideas as if
they were one’s own without giving credit to the source, including, but not
limited to, failure to acknowledge a direct quotation. Contact Dean of Students
at 972.881.5771 for the student disciplinary process and procedures or consult
the CCCCD Student Handbook.
SPECIFIC REQUIREMENTS/COURSE CONTENT:
The student will be responsible for knowing all definition
and statements of theorems for each section outlined in the following modules.
MODULE 1: Linear Equations and Functions
The student will be able to:
1. Find the domains of certain functions.
2. Use function notation.
3. Graph linear functions.
4. Graph a line, given its slope and y- intercept or its slope and one
point on the line.
5. Write the equation of a line, given information about its graph.
6. Use a graphing calculator to graph functions.
7. Solve a system of linear equations using substitution and elimination .
8. Find the cost function, price-demand function, revenue function, or
profit function.
9. Given a revenue function and a cost function, or a profit function,
find the break-even point.
10. Given a price-demand function and a price-supply function, find the
equilibrium point.
MODULE 2: Special Functions
The student will be able to:
1. Solve a quadratic equation.
2. Find the vertex of the graph of a quadratic function.
2. Determine whether a vertex is a maximum point or a minimum point.
3. Find the zeros of a quadratic function.
4. Graph quadratic functions.
5. Determine the range of a quadratic function.
6. Given a revenue function and a cost function, or a profit function,
find the break-even point.
7. Given a price-demand function and a price-supply function, find the
equilibrium point.
8. Maximize revenue or profit, and minimize cost. 9. Plot the basic
functions (Identity, Constant, Power , and Root).
9. Plot the basic functions using transformations (vertical and
horizontal).
10. Given the degree of a polynomial function determine the maximum and
minimum number of turning points
11. Use the graphing calculator to graph a
polynomial function.
12. Use the graphing calculator to approximate the real zeros of a
polynomial function.
13. Given a rational function determine the domain.
14. Given a rational function determine any vertical or horizontal
asymptotes.
15. Use polynomial or rational functions to solve applications problems.
16. Graph piece-wise defined functions.
17. Use the graphing calculator to find the regression line of given data.
18. Plot the regression line with the given data.
MODULE 3: Matrices
The student will be able to:
1. Add and subtract matrices.
2. Organize and interpret data stored in matrices.
3. Multiply a matrix by a scalar.
4. Multiply two matrices.
5. Use matrices to solve systems of equations with unique solutions.
6. Use matrices to solve systems of equations with non-unique solutions.
7. Find the inverse of a square matrix.
8 Use inverse matrices to solve systems of linear equations.
9. Interpret Leontif technology matrices. (Optional)
10. Use Leontif models to solve input-output problems. (Optional)
MODULE 4: Inequalities and Linear Programming
The student will be able to:
1. Graph and solve linear inequalities in one
variable .
2. Graph and solve linear inequalities in two variables.
3. Solve systems of linear inequalities in two variables.
4. Use graphical methods to find the optimum value of a linear function
subject to constraints.
5. Use the simplex method to maximize functions subject to constraints.
MODULE 5: Exponential and Logarithmic Functions
The student will be able to:
1. Graph a basic exponential function.
2. Graph base e exponential functions.
3. Define the logarithmic functions as the inverse of an exponential
function.
4. Write a log function in exponential form and vice-versa.
5. Graph a basic logarithmic function.
6. Use the properties of log functions to simplify log expressions and
solve log equations.
7. Use the calculator to find common logs and natural logs.
8. Use logarithms to solve exponential equations.
9. Use logarithms to solve application problems.
10. Solve application problems involving growth/decay.
MODULE 6: Mathematics of Finance
The student will be able to:
1. Compute simple interest.
2. Find the total amount due on a loan using simple interest.
3. Compute the future value using compound interest .
4. Compute the present value using compound interest.
5. Find the effective rate.
6. Compute the growth time of an investment.
7. Compute the future value of an ordinary annuity.
8. Compute the present value of an ordinary annuity.
9. Compute the regular payments necessary to amortize a loan.
10. Create an amortization schedule.
MODULE 7: Introduction to Probability
The student will be able to:
1. Compute the probability of a single event
occurrence.
2. Construct a sample space for a probability experiment.
3. Compute the probability that one or the other of two mutually exclusive
events will occur.
4. Compute the probability that one or the other of two non-mutually
exclusive events will occur.
5. Compute the expected value of an experiment.
