 # 442 Honors Precalculus

2 semesters, 1 credit (With ECC option)

Open to sophomores, juniors, and seniors

Prerequisites: Minimum grade of B in 415 Advanced Algebra I or A in 430 Algebra II class and 1 credit in 420 Geometry or 422 Advanced Geometry and teacher approval. Note: to qualify for this course, a student must have a cumulative grade point average (GPA) of 2.5.

This class is a unified study of College Algebra and Trigonometry with particular emphasis given to preparation of the student for the study of Calculus. Topics include sets, complex numbers, logs and exponents, polynomials, rational expressions, radicals, solving equations and inequalities, graphing equations and inequalities, matrices and determinants, permutations and combinations, theory of equations,  and the study of the trigonometric functions. The use of a graphing calculator and its application to the topics of Precalculus will be emphasized. This course must be taken as a prerequisite for 443 Honors Calculus. A TI-84 graphing calculator is required for this class.

This course may be taken for college credit if score is high enough on ECC placement test or score on math section of ACT and a 2.5 GPA. If student elects to take this course for college credit (ECC course MT1505, 5 credits), an additional fee will apply.

### Skills

By the completion of this course, students will be able to…

1. Use basic trigonometry functions.
2. Identify functions and their properties, algebraically and graphically, and find inverse functions.
3. Solve systems of equations involving two or three variables using a variety of methods.
4. Perform the four basic operations on polynomials and rational expressions.
5. Solve equations using a variety of methods.
6. Calculate logarithms and natural logarithms and apply them.
7. Identify and write equations for circles and parabolas and apply their properties.
8. Solve with inequalities.
9. Find values of angles in radians and degrees.
10. Perform the four basic operations on matrices and apply them.
11. Solve trigonometric application problems.
12. Solve polynomial functions.
13. Look at problems analytically, and graphically and analyze charts.

### Knowledge

By the completion of this course, students will know…

1. Trigonometric function values and unit circle
2. How to find characteristics of graphs
3. Solve systems of equations
4. How to exponential and rational equations
5. How to solve polynomials
6. Exponential modeling
7. Conic sections
8. Probability