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College Algebra


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Course Desciption:

    College Algebra is intended as a comprehensive, through study of the Fundamental laws of algebra, exponents, linear and quadratic equations, inequalities, system of equations, radicals and radical equations, graphing, polynomials and polynomial equations, logarithms, complex numbers, augmented matrices (Gauss- Jordan Elimination), determianants, Cramer's rule, and many other topics as time permits.

Course Schedule:

     1. Assignments will be given over each lesson.

     2. A test will be given at the conclusoin of each chapter.

    3. A final will be given at hte conclusion of the course

Learning Assessments:

    1. Assignments will be given for each section of each chapter.

    2. Tests will be given over each chapter.

    3. Homework will be worht 10% of the overall grade and tests will be 90%

    4. A comprehesive final will be given

Instructional Method:

    1. Notes will be taken

    2. Lecture style with marker board.

    3. Handouts will be given with the assignmant attatched.

    4. Graphing calculators will be used throughout

Couse Policies:

    1. All missed aasignments and lectures must be made up on the students time.

    2. Missed test will be made up the next day the student returns to class or before.

Course Competencies

    1. Display basic knowledge of algebraic concepts, including but not limited to the notations of mathematics, algebraic expressions, exponents, polynomials, factoring, solving rational expressions, radicals, rational exponents, and the mathematical difference between union and intersection.

    2. Solve linear equations and formulas, including problem solving of applications of each

    3. Solve linear equations in one variable with applications and polynomial and rational inequalities with applications

    4. Solve polynomial equations, rational equations, and quadratic---type, non---routine equations, including applications

    5. Simplify, manipulate, and solve problems, involving complex numbers

    6. Solve non---factorable quadratic equations, including applications

    7. Demonstrate basic knowledge about relations, functions, and a variety of graphs, including piecewise functions

    8. Analyze linear functions and utilize the concept of rate of change to problem solve

    9. Analyze quadratic, cubic, absolute---value, sqaure root, reciprocal, polynomial, linear, and other equations model (or "toolbox") functions.

    10. Demonstrate basic skill knowledge about the algebra and composition of functions and one---to---one and inverse functions.

    11. Perform transofrmations on various functions and graph general quadratic functions, including functions with asymptotes and rational components.

    12. Provide a complete analysis of the graph of a non---routine function

    13. Perform polynomial long division and synthetic division

    14. Utilize the remainder and factor theoroms, and use a variety of techniques to find the zeroes of polynomial functions

    15. Graph a variety of polynomial and rational functions

    16. Analyze exponential functions, logarithms and logarithmic functions, and the exponential function and natural logarithms

    17. Solve exponential/logarithmic equations with applications, business and finance application problems, be able to model linear, quadratic, and cubic regression situations, and be able to solve problems involving exponential, logarithmic, and regression models

    18. Solve linear and non---linear systems in two or more variables, with applications

    19. Solve linear systems using matrices and row operations

    20. Demonstrate a knowledge of the algebra of matrices and be able to solve linear systems using matrix equations

    21. Utilize matrix applications, including using Cramer's Rule abd partial fractions

    22. Utilize the optional