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ARKANSAS TECH UNIVERSITY

** MATH 0903, INTERMEDIATE ALGEBRA**

** SPRING 2006 CLASS SYLLABUS**

__ Course____:__ Math 0903.01 8-8:50 MWF Corley 102

Math 0903.07 2-3:20 MW Dean 104

__ Instructor____:__ Laurie Carman Office: Corley 245 Office Phone: (479) 964-0517

e-mail:

Math Office phone: (479) 968-0663

** Office Hours**: Monday: 9-9:50, 11-11:50

Wednesday: 9-9:50, 11-12:50

Friday: 9-9:50, (math lab 11-12), 12-12:50, 2-4 & by appointment

__ Catalog____ Description:__ The purpose of this course is to prepare for college-level mathematics those students whose mathematics background is inadequate. Content of the course is fundamental operations, linear equations, special products and factoring, fractions, functions, graphs, and systems of linear equations. The grade in the course will be computed in semester and cumulative grade point averages, but the course may not be used to satisfy general education requirements nor provide credit toward any degree.

__ Prerequisites____:__ One unit of high school algebra, or Math 0803, or consent of the

__ __

__ Text____:__ __Intermediate Algebra__ , , 5^{rd} edition. Published by McGraw-Hill.

__ Purpose____:__ The student who has not had Algebra I and Algebra II in high school, or does not have adequate scores on the ACTE, SAT, or ASSET exam, must complete this course with a grade of "C" or better before taking a college level mathematics course such as Math 1113 College Algebra or Math 1103 General Mathematics. The purpose of this course is to provide the student with the algebra background necessary to be successful in college level mathematics courses.

** Assessment Methods**:

Daily Homework 10%, Online quizzes 10%, Unit Tests 60%, Comprehensive Final Exam 20%.

** Homework** Your top twenty homework grades will be computed in your final grade.

For full credit the following conditions must be met:

** Criteria for Credit**

- Work is completed neatly in ** pencil**.

- All necessary steps must be written out (show your work).

- Work is turned in on time. (No late papers accepted)

** Tests**: Tests will be announced at least 2 class periods in advance.

__Make-up Tests__: If you miss a test, you must __contact__ the instructor and __take__ the make-up test within __one week__ of the original test. Make-up tests will be given at 2pm on Fridays in Corley 231 or at the instructors convenience. Also, you may only make up __one__ test during the semester. If you know that you will miss a test in advance, you may arrange to take the test at an earlier date. This must be arranged individually with the instructor outside of class time. Missed tests will result in a zero.

** Grading Scale ** 100-90% = A; 89-80%=B; 79-70%=C; 69-60%=D; 59-0%=F.

** Calculator**: A graphics calculator, such as the TI-83, TI 83 Plus, or TI 84 is

**required**for this course.

There may be some exams or portions of exams which must be completed without the use of a calculator.

** Policies**:

**Attendance Policy -**Attendance is required. If you miss 3 classes, you will be reported to academic advising through the Early Warning program. After 4 absences you may be dropped form the class with a grade of F*. Note: only a university excused absence will be excused.

*Any absence results in missed material that the student is individually responsible for making up.*

**Cheating/Plagiarism - **May result in a point penalty, a zero on that work, or expulsion from the class with a grade of F, depending on the circumstances. Cheating will not be tolerated!

__Resources for help__:

-Math lab: The math lab located in Corley 231 offers free tutoring to Tech students. It is staffed with upper level students & math instructors. Computers are available in the math lab for MathZone work. The hours will be announced as soon as they are set for the semester.

-Your instructor: If you need additional help, please come by or call during office hours or make an appointment. Come with your homework started - prepared to ask specific questions (write them down as you work on the material). If you do not have any work started you will be directed to the math lab until you have you homework at least partially completed.

**E-mail is the fastest way to contact me outside of office hours!**

** Objectives**: Students successfully completing this course will be able to:

1. factor using several techniques.

2. use factoring to solve quadratic equations.

3. perform operations on rational expressions.

4. solve equations containing rational expressions.

5. graph linear equations and inequalities.

6. write equations of lines.

7. perform operations with radicals.

8. solve equations containing radicals.

9. apply rules of exponents to fractional exponents.

__ __

__Material Covered:__ The material to be covered is divided into the following units.

Unit 1: __Linear Equations and Inequalities in One Variable__ (3-4 weeks)

__Objectives:__ At the end of this unit the student should be able to perform the following tasks:

Unit 2: __Graphs and Functions in the Cartesian Coordinate System__ (34 weeks)

__Objectives:__ At the end of this unit the student should be able to perform the following tasks:

1. Plot points in a rectangular coordinate system and name the quadrant in which it lies or the axis on which it lies.

2. Graph a linear equation using three points.

3. Find the *x*- and *y*-intercepts for a line and use them to graph the line.

4. Find the slope of a line from its graph.

5. Find the slope of a line given two points.

6. Find the slope of a line parallel or perpendicular to a given line.

7. Write the equation of a line in slope-intercept form given:

a. the slope and the *y*-intercept.

b. the slope and a point the line passes through.

c. two points the line passes through.

d. a point the line passes through and a line it is parallel or perpendicular to.

e. its graph.

8. Write the equation of a line in slope-intercept form, and then identify its slope and *y*-intercept.

9. Graph a linear equation using its slope and *y*-intercept.

10. Determine if a relation is a function.

11. Evaluate a function.

12. Graph constant, absolute value, quadratic, and square root functions.

13. Determine if a graph represents the graph of a function using the vertical line test.

Unit 3: __Solving Systems of Linear Equations & Addition, Subtraction, and __

__Multiplication of Polynomials __ (2-3 weeks)

__Objectives__: At the end of this unit the student should be able to perform the following tasks:

1. Solve a system of equations in two variables using the graphing method, substitution method, and the addition method.

2. Identify a system of equations as independent, inconsistent, or dependent equations.

3. State the solution (when it exists) as an ordered pair.

4. Set up and solve a system of equations from a word problem.

5. Simplify expressions involving integral exponents.

6. Convert numbers using standard notation and scientific notation.

7. Solve interest rate problems by applying the formula.

8. Identify a polynomial, trinomial, binomial, and monomial.

9. Define term, coefficient, constant, and degree as they apply to polynomials.

10. Evaluate a polynomial function.

11. Add, subtract, and multiply polynomials.

12. Multiply binomials using the FOIL method and applying special product formulas.

Unit 4:__Factoring and Solving Polynomial and Rational equations__ (3-4 weeks)

__Objectives__: At the end of this unit the student should be able to perform the following tasks:

1. Factor out the greatest common factor.

2. Factor the difference of two squares.

3. Factor perfect square trinomials.

4. Factor by grouping.

5. Factor quadratic trinomials with leading coefficient 1.

6. Factor quadratic trinomials with leading coefficient1.

7. Recognize prime polynomials.

8. Use factoring strategies to completely factor a polynomial.

9. Solve a quadratic or other polynomial equation by factoring.

10. Use the quadratic formula to solve quadratic equations.

11. Solve a proportion by cross-multiplying.

12. Solve an equation involving rational expressions by multiplying

every term by the least common denominator.

Unit 5:__Rational Exponents and Radicals__ (1-2 weeks)

__Objectives__: At the end of this unit the student should be able to perform the following tasks:

- Find the
*n*th root of an expression using rational exponents. - Use the rules for rational exponents to simplify expressions.
- Find the
*n*th root using radical notation. - Convert an expression with rational exponents to radical notation and radical notation to rational exponents.
- Simplify radical expressions using the Product and Quotient rules for radicals.
- Solve equations with radicals and exponents by applying the Even-Root or Odd-Root properties or by raising each side to a power.