# Applied Mathematics

**Official Course Description: **This course includes the concepts of
ratio and proportion, units

and conversions, linear equations in two variables , inequalities, graphing and
writing equation of

a line, percents, interest, descriptive statistics, and logical symbolism.
Emphasis is on

applications in the various technologies.

**Course Prerequisites:** MT 065 (MAH 070) or equivalent as determined by
KCTCS placement examination

**Required Text and Supplies:**

A Survey of Mathematics with Applications, 7^{th} edition, Angel and Porter, Addison
Wesley Longman Company. A scientific calculator is needed.

**Approved Course Competencies:**

Upon completion of this course, the student can:

1. Write the equation of a given line and graph linear
equations in two variables .

2. Solve systems of linear equations in two variables.

3. Set up and solve ratios and proportions .

4. Use and interpret scientific notations.

5. Convert between various units of measure.

6. Solve problems involving percents.

7. Solve problems involving significant digits , and accuracy and precision of
measurements.

8. Solve problems involving simple and compound interest.

9. Calculate and interpret basic descriptive statistical measures such as mean,
median, mode, range, variance, and standard deviation and use the normal
distribution.

10. Use logic to determine the validity of arguments.

11. Solve application problems involving the above competencies.

## GENERAL EDUCATION COMPETENCIES

**KCTCS GENERAL EDUCATION COMPETENCY STATEMENTS AND
GENERAL EDUCATION
REQUIREMENTS FOR ALL KCTCS CREDENTIALS**

Competencies will be met at the level appropriate to the credential.

A general education core curriculum will enable KCTCS
colleges to graduate men and women who are

intellectually flexible, articulate, reflective, creative, and prepared for
continuous learning. For all students, this

implies some understanding of the value of higher education and the world of
work and career fields related to their

own abilities, interests, and needs. The general education core competencies
will enable students to develop their

own values, pursue goals, and contribute to the political, moral, social, and
cultural enrichment of society.

General Education Competencies:

**I. Communicate Effectively**

1. Read and listen with comprehension.

2. Speak and write clearly using standard English.

3. Interact cooperatively with others using both verbal and non-verbal
means.

Students in MT 110 will fulfill this competency by having
to respond to certain quiz or test problems after

reading material from the textbook, explaining mathematical procedures after the
material has been

presented orally, and classroom discussions on mathematical topics.

**II. Think Critically**

1. Make connections in learning across the disciplines and draw logical
conclusions.

2. Demonstrate problem solving through interpreting, analyzing,
summarizing , and/or integrating a variety of materials.

3. Use mathematics to organize, analyze, and synthesize data to solve a
problem.

Students in MT 110 will fulfill this competency by solving
real-life problems through class discussions,

homework assignments, quizzes and examinations. Students will be assigned
homework problems and

given test problems of a varied nature from the various fields of practical
application. Students will fulfill

this competency by being subjected to a style of instruction which requires and
expects response from the

students in order to continue the line of study or expand to the next level of
thinking.

**III. Learn Independently**

1. Make choices based upon awareness of ethics and differing
perspectives/ideas.

2. Think creatively to develop new ideas, processes, or products .

Students in MT 110 will fulfill this competency by
completing the course which includes a number of

performances based on real life-applications at which time the student will be
able to proceed to the next

level of mathematics endeavor. Students will also fulfill this competency by
being expected to discover

some details on their own through a process of logical progression and
development.

**IV. Examine Relationships in Diverse and Complex
Environments**

1. Recognize the relationship of the individual to human heritage and
culture.

2. Demonstrate an awareness of the relationship of the individual to the
biological and physical environment.

3. Develop an awareness of self as an individual member of a multicultural
global community.

**Class Objectives:** This course is designed to
provide the student with the basic mathematical

background needed in developing his/her technical skills and using these skills
in practical

problem-solving.

**Course Outline:**

I. Number Theory and the Real Number System

A. Prime Numbers and Divisibility

B. Least Common Multiple and Greatest Common Divisor

C. Rules of Exponents

D. Scientific Notation

E. Operations with Square Roots

F. Applications

II. Measurements and Units

A. Significant Digits

B. Precision and Accuracy

C. Metric Units of Measurement

D. Conversions to and from U.S. Customary (“Standard”) System of
Measurement

E. Applications

III. Algebra and Graphs

A. Solving Linear Equations in One Variable

B. Solving Proportions

C. Graphing Lines

D. Writing the Equation of a Given Line

E. Applications

IV. Inequalities and Systems of Linear Equations

A. Solving Systems of Linear Equations

B. Solving Inequalities

C. Applications

V. Consumer Mathematics

A. Percents

B. Simple and Compound Interest

C. Applications

VI. Statistics

A. Sampling Techniques

B. Statistical Graphs and Charts

C. Measures of Central Tendency (Mean, Median, Mode)

D. Measures of Dispersion (Range, Variance, Standard Deviation)

E. Using the Normal Distribution Curve

F. Applications

VII. Logic

A. Conjunction, Disjunction, and Conditionals

B. Truth Tables

C. Categorical Proportions

D. Fallacies and Valid Arguments

E. Applications

**Course Structure:** A typical class will consist of
10 minutes of answering questions on

assigned homework from the previous class. The rest of the class will consist
mainly of

lecturing on the new material with as many examples as possible. Students are
encouraged to

ask questions during lectures. Homework will be assigned at the end of each
class. Students are

expected to read in the text the sections covered.

**Technology/Media Component: **Students will be
instructed in the use of the scientific

calculator as it relates to the course.

**Course Requirements & Evaluation/Grading Policy:**

**Assignments: **All homework assignments will be announced in class. All
homework will be

collected. Homework collected will either be graded, or points awarded for
completing the

assignment. There is a direct correlation between the amount of time spent on
homework and a

student's success on the exams. Specific problems encountered by students in
doing the

assignments will be discussed in class or during office hours.

Grading Policy: |
Quizzes/Homework | – 100 points* |

Exam I, Exam II, and Exam III | – 200 points* | |

Final Exam – | – 200 points | |

* Note: I will drop your lowest quiz, homework & exam score |

**Missed Quizzes/Homework or Exams:** If a student
misses classes during regularly scheduled

one-hour exams the grade of zero will be assigned for that exam unless he or she
can show that

the absence was the result of sickness, family emergency, or some other event
completely

beyond their control. Makeup exams/quizzes will be given only in extreme
circumstances when

the student has missed more that one exam and has documentation to verify their
absence. You

have one week from the date of the exam/quiz to make it up. Late homework
assignments will

have a reduced grade and must be turned in within one week of the due date. I
will not accept

homework that is more than one week late. You must show all work where
appropriate to

receive credit. Your points based on the following percentage scale will
determine your grade:

A = 90-100

B = 80-89

C = 70-79

D = 60-69

E = 0-59

**Attendance Policy:**

Students are strongly encouraged not to miss any classes. Students are
responsible for all

announcements made in class such as homework assignments and exam dates. You are

responsible for your attendance, especially if I am asked to verify attendance
for any reason.

**Withdrawal Policy:**

The last day to drop this class and receive a grade of “W”, is the last class
meeting before

the final examination; otherwise, a failing grade will be assigned.

## KCTCS Academic Offenses

**2.3.1.1 Plagiarism**

Plagiarism is the act of presenting ideas, words, or organization of a source,
published or not, as if they

were ones own. All quoted material must be in quotation marks, and all
paraphrases, quotations, significant

ideas, and organization must be acknowledged by some form of documentation
acceptable to the instructor

for the course.

Plagiarism also includes the practice of employing or
allowing another person to alter or revise the work

that a student submits as the student’s own. Students may discuss assignments
among themselves or with

an instructor or tutor, but when the actual material is completed, it must be
done by the student and the

student alone. The use of the term “material” refers to work in any form
including written, oral, and

electronic.

All academic work, written or otherwise, submitted by a
student to an instructor or other academic

supervisor, is expected to be the result of the student’s own thought, research,
or self-expression. In any

case in which a student feels unsure about a question of plagiarism involving
the student’s work, the

student must consult the instructor before submitting the work.

**2.3.1.2 Cheating**

Cheating includes buying, stealing, or otherwise obtaining unauthorized copies
of

examinations or assignments for the purpose of improving one’s academic
standing. During examinations

or in-class work, cheating includes having unauthorized information, and/or
referring to unauthorized notes

or other written or electronic information. In addition , copying from others,
either during examinations or

in the preparation of homework assignments, is a form of cheating.

**2.3.1.3 Student Co-Responsibility**

Anyone who knowingly assists in any form of academic dishonesty shall be
considered as guilty as the

student who accepts such assistance. Students should not allow their work to be
copied or otherwise used

by fellow students, nor should they sell or give unauthorized copies of
examinations to other students.

**2.3.1.4 Misuse or Student Falsification of Academic
Records**

The misuse or actual or attempted falsification, theft, misrepresentation, or
other alteration of any official

academic record of the college is a serious academic offense. As used in this
context, “academic record”

includes all paper and electronic versions of the partial or complete academic
record.

## Americans with Disabilities Act (ADA)Statement

**Students with disabilities:**

If you are in need of an accommodation because of a
documented

disability, you are required to register with Disability Support Services each

semester. You may contact:

Please **do not** request accommodations directly from
your instructor. All

students receiving accommodations must be qualified through the Office of

Disability Support Services.

However, should you require assistance during an emergency evacuation,

notify the Office of Disability Support Services of your class & work study

schedules.

## Big Sandy Community and Technical College

Center for Enrichment Resources

The BSCTC Center for Enrichment Resources (CER) offers
students academic

assistance in all subject areas. Students may receive one-on-one tutoring, small

group tutoring, assistance writing papers and performing research, and other

academic support services. Assistance is available both by appointment and on a

walk-in basis. Tutoring availability is contingent upon the availability of
tutors. It

is recommended that students call ahead to schedule an appointment if tutoring
is

needed in a particular subject.

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