GE-118 - Precalculus

Syllabus

General Course Description:

In this class you will extended your knowledge of the fundamental algebraic ideas with the introduction of the logarithm, exponential and trignometric funtions.  We will cover equations, inequalities, graphs, and functions (including linear, quadratic and rational) using these elementary functions.  Memorization is necessary but it is not learning.  A main emphasis of this course will be on thinking.  That is, you will learn the "why" as well as the "how".

Prerequisites:

A grade of "C" or better in GE-115 - College Algebra, by placement by the Mathematics Placement Test, or with the consent of the Department Chair.
Specific prerequisite competencies for the course:  Upon the start of the course, the student should be able to perform the tasks listed below:
  1. Ability to recognize and solve problems
    1. Use mathematics and technological tools to solve "real world" problems that arise in social sciences, biological sciences, physical sciences, and other mathematical sciences
  2. Algebra and algebraic structures
    1. Understand the concepts of variable, expression, equation, inequality, and the properties of integers, rational numbers, real and complex numbers
    2. Analyze tables and graphs to identify properties and relationship
    3. Solve linear and non-linear equations and inequalities and systems using concrete, formal and informal methods
    4. Have knowledge of diverse examples of functions arising from a variety of problem situations and investigate the properties of these functions through appropriate technologies, including graphing utilities and graphing calculators
Specific Competencies in the Course:

Through the use of problem solving during the class time, homework, library assignments and tests, the student will be guided to develop mastery of the basic concepts of algebra of elementary functions.  Upon completion of the course, the student should:
  1. Proficiently use the fundamental concepts of Algebra and Trigonometry
  2. Use problem solving skills to solve word problems
  3. Recognize and solve problems using exponential and logarithmic functions
  4. Graph and evaluate exponential and logarithmic functions
  5. Perform algebraic manipulation of trigonometric functions
  6. Solve applications problems on right triangles
  7. Define and evaluate inverse trigonometric functions and graph and state their properties
  8. Define and evaluate logarithmic functions
  9. Recognize and use trigonometric formulas
  10. Apply the Law of Sines and the Law of Cosines
After completing this course, students should be able to apply the above competencies and concepts to solve problems in their appropriate fields of application.

Methods of Presentation:

Apply innovative technologies and critical thinking that give rise to interactive instructional approaches permitting focus on problem solving and encourage generalization wherever possible; using lecture method, transparencies, computer, and individual and group assignments.

Technology and Materials to be used in the Course:

The student will be required to have a calculator (preferred scientific).
NOTE: Cell phones and other electronic devices do not qualify as calculators to be used in this course. The use of such devices will not be permitted during exams. Please purchase at least a calculator from the dollar store.
This class will also be web-enhanced. Please activate your ECSU email account.
Other materials include, but are not limited to:   the textbook with its CD-Rom giving calculator and MS Excel instructions, the student's own Resource Manual, and Media Material.