 # 440 Honors College Algebra

v 2 semesters, 1 credit (With ECC option)

Open to sophomores, juniors, and seniors

Prerequisites:

Sophomores and Juniors: Minimum grade of B- in 415 Advanced Algebra I and 422 Advanced Geometry and/or teacher approval. Note that to qualify for this course, a student must have a cumulative grade point average (GPA) of 2.5.

Seniors: Minimum grade of C+ in 430 Algebra II and and 420 Geometry and/or teacher approval. Note that to qualify for this course, a student must have a cumulative grade point average (GPA) of 2.5.

Topics include complex numbers, logs and exponents, polynomials, rational expressions, radicals, solving equations and inequalities, graphing equations and inequalities, matrices, permutations and combinations, theory of equations, and the binomial theorem. The use of the graphing calculator and its application to the topics of College Algebra will be emphasized. 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 MT 1403, 3 credits), an additional fee will apply.

### Skills

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

1. Write equations of lines.
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. Apply probability topics.
10. Perform the four basic operations on matrices and apply them.
11. Recognize characteristics of graphs.
12. Solve systems of equations and applications of these topics.
13. Look at problems analytically and graphically and analyze charts.

### Knowledge

By the completion of this course, students will know…

1. Equations of lines in both the point-slope form and the slope-intercept form
2. Characteristics of graphs
3. Systems of equations.
4. Exponential and rational equations
5. Polynomials
6. Exponential modeling
7. Conic sections
8. Inequality concepts
9. Probability

This curriculum last updated on January 4, 2019, by the Math Department.