Master Syllabus

Algebra II

I. BASIC COURSE INFORMATION

  1. Course Title: Algebra II
  2. Course Number: MAT110
  3. Course Name: Mathematics
  4. Credit Hours: 3
  5. Semesters Offered: Fall/Spring
  6. Prerequisite: COM 061 Advanced Reading: Speed and Comprehension or placement by assessment MAT 035 Algebra I with Quadratics with a "C" or better, or placement by assessment

 

II. COURSE DESCRIPTION

This course reinforces polynomials, rational expressions, first-degree equations and inequalities (including absolute values), exponents, radicals, and complex numbers. An emphasis will be placed on the following topics: second-degree equations and inequalities, graphing involving two variables, systems of equations and inequalities, relations and functions, and exponential/logarithmic functions.

III. RATIONALE OF COURSE

This course may serve as a math elective and/or requirement for those students not enrolled in the technical programs or for those students in the technical programs who do not meet the requirements necessary to begin College Algebra or any other course for which this course is a prerequisite.

IV. COURSE COMPETENCIES

  1. Perform operations such as addition, subtraction, multiplication, division, and factoring on polynomials.
  2. Perform operations on algebraic fractions and be able to simplify complex fractions.
  3. Solve linear equations in one unknown for the unknown.
  4. Solve and graph linear inequalities in one unknown.
  5. Solve formulas for a particular unknown.
  6. Use arithmetic and algebraic techniques to solve real-life problems.
  7. Solve and graph equations and inequalities which involve absolute value.
  8. Apply the properties of exponents, radicals, and complex numbers to solve problems which contain exponents, radicals, or complex numbers.
  9. Identify or write the standard form of a quadratic equation.
  10. Solve quadratic (second-degree) equations by the following methods: square root; factoring; completion of square; quadratic formula.
  11. Solve and graph quadratic and higher degree inequalities.
  12. Recall and apply the distance (between-two-points) formula.
  13. Apply graphing and/or equational theory to determine the equation of a line when given sufficient information regarding the line.
  14. Apply the techniques of graphing to represent the equation of a line or one of the conic sections (i.e., circle, parabola, ellipse, or hyperbola) as a visual form on a rectangular coordinate system. [Graphing of functions, relations, and their inverses.]
  15. Apply the techniques of graphing to represent a system of equations (including second-degree equations) or a system of inequalities as a visual form on a coordinate system.
  16. Solve a system of linear equations in two or three variables by using substitution or the addition "elimination"
  17. methods.
  18. Apply the techniques of graphing to represent an exponential or logarithmic function.
  19. Apply the properties of logarithms to convert problems into a different structure or to solve a log problem.
  20. Use a scientific calculator to find the logarithm of a number.