College Mathematics

COURSE DESCRIPTION:

Topics to include graphs and applications to linear and quadratic functions , logarithmic and exponential functions with growth and decay, arithmetic and geometric sequences, mathematics of finance , introductory statistics, counting methods, probability, and other topics in management science and con sumer 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 with draw .

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