Home Page PCC > Academics > Areas of Study > Arts & Sciences > Mathematics > Syllabi > MAT 090

PUEBLO COMMUNITY COLLEGE

COURSE SYLLABUS

1.

TITLE OF COURSE:

Introductory Algebra

 

PREFIX/NUMBER:

MAT 090

CREDIT HOURS:  4

2.

PREREQUISITES:

Successful completion of MAT 060 or Math Assessment

3.

RESOURCES NEEDED:

 

TEXT:

Elementary and Intermediate Algebra for College Students, 3rd Ed., by Allen R. Angel

 

SUPPLIES:

Paper, pencil, scientific calculator

4.

COURSE DESCRIPTION:

Includes first degree-equations, inequalities, formulas, polynomials, solving quadratic equations by factoring, and applications.  Coordinate geometry, graphing linear equations and inequalities, and systems of linear equations may be included.

 

5.

STANDARD COMPETENCIES:

 

A.

Demonstrate knowledge and usage of first-degree equations, inequalities and formulas .

 

B.

Demonstrate knowledge and usage of polynomials.

 

C.

Demonstrate knowledge and usage of factoring and solving quadratic equations by factoring.

 

D.

Demonstrate knowledge and usage of algebraic fractions.

 

E.

Demonstrate knowledge and usage of coordinate geometry.

 

F.

Demonstrate knowledge and usage of linear systems.

 

6.

 

COURSE OUTLINE

 

1.0

Real Numbers

 

 

1.1 Study Skills for Success in Mathematics

 

 

1.2 Problem Solving

 

 

1.3 Fractions

 

 

1.4 The Real Number System

 

 

1.5 Inequalities

 

 

1.6 Addition of Real Numbers

 

 

1.7 Subtraction of Real Numbers

1.8 Multiplication and Division of Real Numbers

1.9 Exponents, Parentheses, and the Order of Operations

1.10 Properties of the Real Number System

 

2.0

Solving Linear Equations

 

 

2.1 Combining Like Terms

 

 

2.2 The Addition Property of Equality

 

 

2.3 The Multiplication Property of Equality

 

 

2.4 Solving Linear Equations with a Variable on Only One Side of the Equation

 

 

2.5 Solving Linear Equations with the Variable on Both Sides of the Equation

 

 

2.6 Formulas

 

 

2.7 Ratios and Proportions

 

3.0

Applications of Algebra

 

 

3.1 Changing Application Problems into Equations

 

 

3.2 Solving Application Problems

 

 

3.3 Geometric Problems

 

 

3.4 Motion, Money, and Mixture Problems

 

4.0

Graphing Linear Equations

 

 

4.1 The Cartesian Coordinate System and Linear Equations in Two Variables

 

 

4.2 Graphing Linear Equations

 

 

4.3 Slope of a Line

 

 

4.4 Slope-Intercept and Point-Slope Forms

 

5.0

Exponents and Polynomials

 

 

5.1 Exponents

 

 

5.2 Negative Exponents

 

 

5.3 Scientific Notation

 

 

5.4 Addition and Subtraction of Polynomials

 

 

5.5 Multiplication of Polynomials

 

5.6 Division of Polynomials

 

6.0

Proportion and Rational Expressions

6.1 Factoring a Monomial from a Polynomial

6.2 Factoring by Grouping

6.3 Factoring Trinomials of the Form ax2 + bx + c, a = 1

6.4 Factoring Trinomials of the Form ax2 + bx + c, a ≠ 1

6.5 Special Factoring Formulas and a General Review of Factoring

6.6 Solving Quadratic Equations Using Factoring

6.7 Applications of Quadratic Equations

 

7.0

Rational Expressions and Equations

 

 

7.1 Simplifying Rational Expressions

 

 

7.2 Multiplication and Division of Rational Expressions

 

 

7.3 Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator

 

 

7.4 Addition and Subtraction of Rational Expressions

 

 

7.5 Complex Fractions

 

 

7.6 Solving Rational Equations

 

 

7.7 Rational Equations: Applications and Problem Solving

 

 

7.8 Variation

7.

EVALUATION PROCEDURES

 

Evaluation methods and procedures will be determined by the instructor.  These may consist of but are not limited to:  quizzes, exams, individual and/or group projects.

 

Final Exam:  This course will include a Departmental Final Exam which will be counted toward the final grade.

 

Grading Scale:
The following Grading Scale will be used:

 

90% – 100% - S/A
80% – 89% - S/B
70% – 79% - S/C
60% - 69% - U/D
0% - 59% - U/F

 

8.      Special Remarks:

Cheating:

If cheating occurs, it will result in a zero on that exam.

Attendance:

Attendance will be taken and students will be dropped when they have missed 20% of the total class hours unless prior arrangements have been made with the instructor.  Missed exams will result in a zero for that exam unless prior arrangements have been made.

Conduct:

Professional and courteous behavior is expected at all times.  Disruptive behavior is unacceptable in the classroom and may result in the student's temporary or permanent removal from the course.

Assistance:       Help is available outside of class in the math lab or from your instructor.  If necessary, your instructor can help you obtain a tutor.

 

9.

ACADEMIC INTEGRITY:

 

The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Pueblo Community College has adopted a policy of academic conduct as described in the Student Handbook. Violation of academic integrity may be defined to include the following: cheating, plagiarism, falsification and fabrication, abuse of academic materials, complicity in academic dishonesty, and personal misrepresentation. It is the student’s responsibility to be aware of the behaviors that constitute academic dishonesty. Sanctions for violating the standards of academic integrity may include warning, probation, suspension, and/or failure of the course or assignment at the discretion of the instructor.

10.

ADA NOTICE:

 

Students who have a documented disability may be eligible to receive accommodations for this class. Please contact the Disability Resources Center at 549-3446 for further information.