Description:

Note: MATH 173 is an accelerated course recommended for students with a strong high school math background (three to four years) who plan to take calculus. This course focuses on the study of functions and their graphs, trigonometry, techniques of solving equations and the recognition and creation of patterns. Students will analyze and graph functions, including constant, linear, absolute value, square root, polynomial, rational, exponential, logarithmic and trigonometric functions and nonfunctions; solve equations and inequalities, including polynomial equations, exponential equations, logarithmic equations, trigonometric equations, systems of linear and nonlinear equations and systems of linear and nonlinear inequalities; and analyze and create algebraic and numerical patterns. 5 hrs./wk.

Associated Costs: These are additional (out-of-pocket) expense considerations that students should expect in addition to the course tuition, fees, and textbooks. $0 to $100.

Supplies: Refer to the instructor’s course syllabus for details about any supplies that may be required.

Textbook(s): For information see - http://bookstore.jccc.net

Course Fees: NONE

Course Objectives:

Upon successful completion of this course the student should be able to:

1. Analyze functions and their graphs.
2. Sketch the graphs of functions, including constant, linear, absolute value, square root, polynomial, rational, exponential, logarithmic and trigonometric equations.
3. Solve polynomial, exponential, logarithmic and trigonometric equations.
4. Solve systems of linear and non-linear equations and systems of linear and non-linear inequalities.
5. Create mathematical models to solve application problems.
6. Analyze numeric and algebraic patterns; generate numeric and algebraic patterns.
7. Use trigonometry to solve triangles; verify trigonometric identities.

Content Outline & Competencies:

I. Analysis and graphing of functions and non-functions
   A. Use function notation.
   B. Recognize equations of functions and non-functions.
   C. Use concepts of symmetry, intercepts, left to right behavior,
asymptotes, and  transformations to sketch graphs of functions (constant,
linear, quadratic, absolute value, square root, cubic, polynomial,
rational, exponential, and  logarithmic) and non-functions (circles).
   D. Determine the domain and range of a function.
   E. Write the equation of a function (constant, linear, quadratic,
absolute value, square root, cubic, polynomial, rational, exponential, and
logarithmic) or non-function (circle) given its description.
   F. Use graphing calculator or computer-generated graphs of functions
for analysis.
   G. Find combinations and composites of functions.
   H. Find inverses of functions.

II. Solutions of equations and inequalities
   A. Solve polynomial equations.
   B. Solve exponential equations.
   C. Solve logarithmic equations.
   D. Apply exponential and logarithmic equations to problems, e.g.,
growth and decay.
   E. Solve systems of linear and non?linear equations using substitution,
elimination, graphing, and at least one matrix method (Gaussian
elimination, Gauss-Jordan elimination, inverse matrices, or Cramer’s
Rule).
   F. Graph systems of linear inequalities.

III. Analysis and creation of algebraic and numerical patterns
   A. Generate sequences and sums.
   B. Determine formulas that create sequences and sums.
   C. Recognize arithmetic and geometric sequences.
   D. Find specified terms of sequences.
   E. Calculate sums of sequences.
   F. Perform binomial expansions using the binomial theorem.
    	
IV. Trigonometry
   A. Determine the trigonometric functions of any angle or real number.
   B. Solve any triangle using trigonometric ratios, the Law of Sines or
the Law of Cosines, where appropriate.
   C. Use concepts of symmetry, intercepts, maximum and minimum values,
and transformations to sketch the graphs of the basic trigonometric
functions.
   D. Use inverse trigonometric functions to evaluate expressions.
   E. Solve trigonometric equations.
   F. Apply trigonometric equations to practical problems.
   G. Verify trigonometric identities (including sum, difference, double
and half-angle).
   H. Determine the magnitude and direction of vectors; resolve vectors
into components.
   I. Write the trigonometric form of a complex number.

Methods of Evaluation of Competencies:

Evaluation of student mastery of course competencies will be accomplished using the following methods:

Unit Exams, Unit Papers and/or Unit Projects   40% - 80%
Homework, Quizzes and/or Small Projects         0% - 50%
Final Exam**                                   10% - 40%

**The final exam must count at least as much as any unit exam, unit paper
or unit project.  In any course where unit exams are not proctored, the
instructor may require that the student score at least a 70% on the final
exam to earn a ‘C’ for the course. At the instructor's discretion, the
grade on all or any part of the final exam may replace any lower test
score.

Caveats:

1. The majority of mathematics courses are sequential. Students must earn a grade of C or higher in a prerequisite mathematics course to progress to its subsequent mathematics course.
2. In accordance with the assertion made on your billing statement, during the first two weeks of the semester, if a student is found not to have successfully fulfilled the prerequisite(s) for this course, the student will be dropped from the course. He/she will be allowed to enroll in the appropriate lower level math course on a space available basis with an even exchange of tuition. After the first two weeks, students who have not met the prerequisite(s) will be dropped from the course with no refund of tuition.

Disabilities:

If you are a student with a disability, and if you will be requesting accommodations, it is your responsibility to contact Access Services. Access Services will recommend any appropriate accommodations to your professor and his/her director. The professor and director will identify for you which accommodations will be arranged.

JCCC provides a range of services to allow persons with disabilities to participate in educational programs and activities. If you desire support services, contact the office of Access Services for Students With Disabilities (913) 469-8500, ext. 3521 or TDD (913) 469-3885. The Access Services office is located in the Success Center on the second floor of the Student Center.