SHAW UNIVERSITY

MAT 113 - INTERMEDIATE ALGEBRA

Fall 2004 Section 02

 

Instructor:  C. M. Ravenell        Office Location: SCI 204          Phone:

 

Email:   cravenell@shawu.edu      or     RaveWilcm@yahoo.com

         

 

Office Hours:  MWF 10:15 – 11 am     MW  1:15 – 2 pm

                        TTh  9:30 am 12 noon

 

Text:   James Streeter and others – Intermediate Algebra – McGraw – Hill

Fourth Edition - 2001

 

GENERAL DESCRIPTION 

This is an intermediate level algebra course intended for science and education students.  For science and mathematics students it serves to prepare them for the required course Math 115 (Precalculus).

 

COURSE OBJECTIVES

After passing this course the students should be able to do the following:

·        Use set notation.

·        Recognize basic subsets of the set of real numbers.

·        Do the algebraic operations on sets such as union, intersection, and complements.

·        Do the algebra on integers and algebraic expressions.

·        Use exponents of numbers and variables.

·        Solve linear equations

·        Solve linear inequalities.

·        Solve application problems using linear equations and inequalities.

·        Do the algebra of addition, multiplication, subtraction, and division with polynomials.

·        Factor polynomials.

·        Solve quadratic equations in one variable.

·        Solve application problems(word problems).

·        Identify rational expressions.

·        Find the GCD of  polynomials.

·        Add, subtract, and multiply rational expressions.

·        Solve equations involving rational expressions.

·        Solve application problems.

·        Evaluate expressions involving radicals.

·        Complete squares.

·        Use the quadratic formula

·        Solve quadratic inequalities.

·        Solve application problems.

·        Find the equations of straight lines.

·        Graph straight lines

·        Graph parabolas.

·        Solve systems of two equations in two variables.

·        Solve non-linear systems of equations.

 

 

CHAPTERS AND TOPICS

 

Chapter 1: The Real Numbers: Sets and set notation – Operations and Properties – Inequalities and Absolute Values - Positive Integer Exponents and Scientific Notation.

 

Chapter 2: Linear Equations and Inequalities: Solving linear equations in one variable - Literal Equations and Formulas– Problem Solving and Applications of Linear Equations - Linear Inequalities - Absolute Value Equations and Inequalities - Variation

 

Chapter 3: The Coordinate Plane and Functions: Ordered pairs and relations – Cartesian Coordinate Systems – Introduction to functions – Reading Values from a Graph

 

Chapter 4: Graphs of Linear Equations and Functions:  Graph of a Linear Equation - Slope of a Line - Forms of  Linear Equations - Solving Equations and Inequalities Graphically - Application Problems

 

Chapter 5: Systems of Linear Relations: Systems of linear equations in two variables - Application Problems - Systems of Linear Equations in Three Variables- Graphing Linear Inequalities in Two Variables – Graphing Systems of Linear Inequalities in Two Variables.

 

Chapter 6:  Polynomials and Polynomial Functions:  Polynomials and Polynomial Functions - Combining Functions - Addition, Subtraction, Multiplication, Division of Polynomials - Intro. To Factoring - Factoring Special Polynomials - Factoring Trinomials - Solving Quadratic Equations by Factoring 

 

Chapter 7: Rational Expressions and Functions:  Simplifying Rational Expressions and Functions - Multiplication and Division -Addition and Subtraction of  Rational Expressions- Complex Fractions - Solving Rational Equations - Applications - Negative Integer Exponents.

 

Chapter 8: Radical Expressions–  Roots and Radicals - Simplification of Radical Expressions - Operations on Radical Expressions - Solving Radical Equations - Applications of Radical Expressions - Rational exponents - Complex Numbers.

 

Chapter 9: Quadratic Equations, Functions, and Inequalities:   Graphing a Factorable Quadratic Function - Solutions of Quadratic Equations by Completing Squares and Using Quadratic Formula - Equations that are Quadratic in Form - Quadratic Inequalities

 

Chapter 10 : Graphs of Conic Sections:  Graphing Parabolas - Distance Formula and Circle - Ellipse and Hyperbola - Graphing Nonlinear Systems

 

Approximate Schedule:    Includes test,quiz periods  

 

Chapter

#of periods

1

3

2

5

3&4

7

5

5

6

7

7&8

7

9

4

10

4

TOTAL

42 periods

 

 

Grading Criteria

Homework, Quizzes                 30% of Final Grade

One-hr tests                             40% of Final Grade

Comprehensive Final                30% of Final Grade

 

Attendance Policy

 

You will be allowed only 3 unexcused absences. More than the allowed absences may result in failing the course. You are completely responsible for any announcements, information, and the subject matter covered in class during your absence in the class.


Student Classroom Decorum Expectations

 

To enhance the learning atmosphere of the classroom, students are expected to dress and behave in a fashion conducive to learning in the classroom. More specifically, students will refrain from disruptive classroom behavior (i. e., talking to classmates, disrespectful responses to teacher instructions; swearing; wearing clothes that impede academic learning such as but not limited to, wearing body-revealing clothing and excessively baggy pants; hats/caps, and/or headdress. Students will turn off telephones prior to entering the classroom. Students who exhibit the behaviors described above, or similar behaviors will be immediately dismissed from class at the third documented offense. The student will be readmitted to class only following a decision by the department chair. The student may appeal the decision of the department chair to the Dean of the College offering the course, and, subsequently, to the Office of the Vice President for Academic Affairs, and then to the President of Shaw University. The decision of the President will be final. Failure to follow the procedures herein outlined will result in termination of the appeal, and revert to the decision of the department chair.

 

Each behavior construed by the teacher/professor as noncontributive  to learning will be recorded, properly documented, and appropriately reported to the student and to the chair of the academic department offering the course. The report will be in written form with a copy provided to both the student and the department chair. The faculty member should retain a copy for his/her own records.

 

Additional student behavior codes may be found in Student Affairs.