CREDIT HOURS: 3
LECTURE
HOURS: 3
LAB HOURS: 0
CLN/REC HOURS: 0
ASSESSMENTS:
Prior to enrolling in this course, the student must
demonstrate eligibility to enroll in the following: MATH
1332.
PREREQUISITE: TSI placement
COREQUISITE: None
TEXTBOOK:
Mathematical Applications for the Management, Life, and Social Sciences,
Harshbarger & Reynolds,
9th edition, Custom Edition for Collin College, Cengage Learning.
SUPPLIES: Graphing calculator required
COURSE DESCRIPTION:
Topics to include graphs and applications to linear and quadratic functions,
logarithmic and
exp onential functions with growth and decay, arithmetic and geometric sequences,
mathematics
of finance, introductory statistics, counting methods, probability, and other
topics in management
science and consumer mathematics.
COURSE MEASURABLE LEARNING OUTCOMES:
Upon completion of this course the students should be able to do the following:
1. Identify functions and find their domain and range both graphically and
algebraically .
2. Recognize special functions including linear, quadratic, exponential, and
logarithmic
functions, and use them to construct graphs.
3. Use the concepts about sequences and series, including arithmetic and
geometric
sequences, to find sums and additional terms, and apply the information to
annuities.
4. Solve basic problems in financial management including simple interest ,
compound
interest, and continuous compounding.
5. Use basic concepts of statistical reasoning including
sampling, types of data, frequency
tables, histograms, measures of central tendency and variation, and the normal
distribution to summarize data and form conclusions.
6. Find the probability of an event and formulate mathematical or management
decisions
from the information.
COURSE REQUIREMENTS:
Completion of required exams and homework.
COURSE FORMAT:
Lecture and guided practice.
METHOD OF EVALUATION:
A minimum of four written exams and a comprehensive 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.
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 al low a student who is absent from class for the observance of a
religious holy day to
take an examination or complete an as signment 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.
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
student's responsibility to contact the ACCESS Office (G-200) or 972.881.5898, (TDD
972.881.5950) in a timely manner if he/she desires to arrange for
accommodations.
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 the 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 the Dean of Students at 972.881.5771 for the student disciplinary
process and procedures
or consult the CCCCD Student Handbook.
SPECIFIC REQUIREMENTS/COURSE CONTENT:
MODULE 1: Linear Equations and Functions
The student will be able to:
1. Solve linear equations in one variable
2. Determine whether a relation is a function
3. Find the domain and range of a function
4. Use function notation to evaluate functions
5. Graph linear functions
6. Find the slope and y -intercept of a linear function
7. Identify whether two lines are parallel, perpendicular or neither
8. Write the equation of a line and graph it, given its slope and y-intercept, 2
points, or a
point and line parallel or perpendicular
MODULE 2: Quadratic Functions
The student will be able to:
1. Solve a quadratic equation by factoring, quadratic formula, or square root
methods
2. Find the vertex of a quadratic function
3. Determine whether the vertex is a maximum or minimum
4. Find the zeroes of a quadratic function
5. Find the domain and range of a quadratic function
MODULE 3: Exponential and Logarithmic Functions
The student will be able to:
1. Graph a basic exponential functions including base e
2. Write a logarithmic function in exponential form and vice versa
3. Graph a basic logarithmic function
4. Use the properties of logarithms to simplify logarithmic expressions and
solve
logarithmic equations
5. Use the calculator to find common logarithms and natural logarithms
6. Use logarithms to solve exponential equations
7. Use logarithms to solve application problems
8. Solve application problems involving growth and decay
Module 4: 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 and continuous compounding
4. Find the effective rate
5. Compute the growth time of an investment
6. Compute the future value of an ordinary annuity
7. Compute the present value of an ordinary annuity
8. Compute the regular payments necessary to amortize a loan
9. Create an amortization schedule
10. Identify an arithmetic sequence and find the nth term and sum of the first n
terms
of an arithmetic sequence
11. Identify a geometric sequence and find the nth term and sum of the first n
terms of
a geometric sequence
Module 5: Introduction to Probability
The student will be able to:
1. Compute the probability of a single event
2. Construct a sample space for a probability experiment
3. Compute the probability of the complement of an event
4. Compute the probability of the union and intersection of events
5. Identify when events are mutually exclusive and when they are independent
6. Compute conditional probability
7. Use fundamental counting principle, permutations, and combinations to solve
counting and probability problems
Module 6: Data Description
The student will be able to:
1. Construct frequency histograms for given data
2. Find mean, median, and mode for given data
3. Find range, variance, and standard deviation for given data
4. Compute expected value
5. Compute probabilities using the normal distribution