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Intermediate Algebra AD 095

COURSE DESCRIPTION:

This course is designed to provide students with a strong foundation in algebra, graphing, and problem-solving skills. Due to the fast pace of this course it is recommended that entering students possess an understanding of basic algebra. Successful completion of this course should give students the necessary prerequisite skills to pursue additional math courses, as well as any course that requires algebraic fundamentals or problem solving capabilities. This course carries institutional credit only, which means that the credits are not calculated in the number of hours earned toward graduation. However, they do count toward full-time student status and for financial aid requirements.

STUDENT GOALS:

  • To organize, interpret, understand and express mathematical ideas graphically, numerically, symbolically and in writing
  • To identify the elements of a problem, construct solution strategies, solve problems and interpret the solutions
  • To master the concepts and techniques of intermediate algebra including those listed under course content and use these techniques in real world applications
  • To understand the need for mathematics outside the classroom and recognize the value of current and emerging technology
  • To participate in a self assessment of mathematical skills; develop a plan to build on mathematical strengths and overcome weaknesses; and pursue the plan to prepare for future college-level mathematics courses

EVALUATION OF STUDENT GOALS:

Methods for evaluating the outcomes of the class include, but are not limited to individual and collaborative assignments, self-evaluation, class participation, quizzes and tests, and projects. Final grades will be determined by the following percentages: 90-100 %=A, 80-89%=B, 70-79%=C, 60-69%=D, below 60%=F.

PREREQUISITES:

The prerequisite for this class may be satisfied with an acceptable placement score, or by the completion of AD 070 with a grade of C or higher.

ATTENDANCE:

Class attendance is an extremely important factor in determining success in this course. Attendance is expected each time the class meets. If an absence occurs it is the student's responsibility to find out what was missed. Failure to attend class regularly may result in your withdrawal from class.

ACADEMIC SUPPORT:

Many students occasionally need additional help outside class. Instructional Services provides many sources of academic help including:

  • Your Instructor can provide extra help during scheduled office hours or by appointment.
  • Tutors are available on a walk in basis at the Math Resource Area (Peck 1414)
  • CD's and DVD's of each chapter of the text are available for viewing or 48-hour check out in the Math Resource Area.
  • Student solutions manuals for the text are available at the University Bookstore or for use in the Math Resource Area.

SUPPORT SERVICES:

Students needing special academic accommodations must have a documented disability and an ID CARD from Disability Support Services and must discuss with the instructors those accommodations that are needed by the end of the first week of classes.

ACADEMIC INTEGRITY:

SIUE will not tolerate inappropriate behavior, cheating, or plagiarism. Failure to follow these rules may result in a zero on a paper or test, a failing grade for a course, or even expulsion from school. Students may refer to the SIUE booklet "Student Conduct and Student Grievances: Rights and Responsibilities", if they have questions about the policy.

COURSE CONTENT:

A. Real Numbers and Algebraic Expressions

  1. Sets and set notation
  2. Operations with real numbers
  3. Evaluating algebraic expressions
  4. Using the properties of real numbers

B. Linear Equations

  1. Solving linear equations in one variable
  2. Formulas and problem solving
  3. Solving linear application problems
  4. Solving and graphing linear inequalities
  5. Solving and graphing absolute value equations and inequalities

C. Graphs & Functions

  1. Graphing lines in the coordinate plane
  2. Finding and using the slope of a line
  3. Understanding and using three forms of the equation of a line
  4. Linear inequalities and their graphs
  5. Understanding relations and functions
  6. Graphing functions

D. Systems of linear equations

  1. Solving systems of equations by graphical, substitution, and elimination methods
  2. Solving systems of linear equation in two variables
  3. Solving systems of linear equations in three variables
  4. Application problems involving systems of equations

E. Exponents and Polynomials

  1. Integral exponents and their rules
  2. Scientific notation
  3. Addition, subtraction and multiplication of polynomials
  4. Division and factoring of polynomials
  5. Solving equations by factoring

F. Rational Expressions

  1. Using the properties of rational expressions
  2. Addition, subtraction, multiplication, and division of rational expressions
  3. Dividing polynomials using long division and synthetic division
  4. Complex fractions
  5. Solving rational equations
  6. Application problems involving rational expressions

G. Rational Exponents and Radicals

  1. Rational exponents and their rules
  2. Simplifying radical expressions
  3. Rationalizing denominators of radical expressions
  4. Operations with radicals
  5. Solving equations with radicals

H. Quadratic equations

  1. Solving quadratic equations by factoring, completing the square, and the quadratic formula
  2. Applications involving quadratic equations
  3. Graphing quadratic equations

I. Logarithmic Functions

  1. Defining and using logarithmic notation
  2. Properties of logarithms
  3. Writing logarithmic equations in exponential notation
  4. Identifying and graphing logarithmic functions
  5. Properties of logarithms

Other topics if time allows.

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