Precalculus

Course Description:
Major emphasis is on the concept of functions. Study polynomial, rational, exponential, logarithmic,
trigonometric and inverse trigonometric functions, their properties, graphs, and related equations and
applications . Additional topics include systems of equations , matrices, conic sections, sequences and series,
and probability. A graphing calculator is required and used extensively. Prerequisite: MTH 131

Core Course Objectives:

1. Simplify polynomial , radical, and rational expressions , and algebraic expressions involving radicals,
integer exponents, rational exponents, trigonometric functions, combinations, permutations, factorials ,
series, sequences, and matrices using appropriate algebraic skills, and logarithmic processes. (ADO 3.2)

2. Use appropriate algebraic processes to solve:
• linear, absolute value, quadratic, radical, rational, exponential, and logarithmic
equations.
• linear, absolute value, polynomial, and rational inequalities .
• linear and non-linear systems of equations.
• trigonometric and inverse trigonometric equations (ADO 3.2)

3. Manipulate and identify functions graphically, symbolically, and numerically . (ADO 2)

4. Solve application problems involving many different subject areas using algebraic
processes, counting technologies, and the binomial theorem. (ADO 4)

5. Apply fundamentals of right triangle trigonometry and solve applications problems.
(ADO 3.2)

6. Use appropriate technology (such as the graphing calculator ) to enhance the understanding
of the previously stated objectives. (ADO 7)

7. Have an awareness of the historical background of topics covered in the course. (ADO 15)

Associate Degree Outcomes:
ADO 2. The ability to comprehend and use information including written and oral forms
ADO 3 Computational skills and understanding appropriate to the program of study
ADO 4. Critical thinking and problem-solving
ADO 7 Facility in the use of computers and other technologies appropriate to the program of study
ADO 15 An historical perspective