MAT 106

PUEBLO COMMUNITY COLLEGE

COURSE SYLLABUS

1.

TITLE OF COURSE:

SURVEY OF ALGEBRA

PREFIX/NUMBER:

MAT 106

CREDIT HOURS:

4

2.

PREREQUISITE:

Successful completion of MAT 090 with a S/C or better or Math Assessment

3.

RESOURCES NEEDED:

TEXT:

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

SUPPLIES:

Paper, pencil, and scientific calculator

4.

COURSE DESCRIPTION:

Emphasizes problem solving with further study of equations, slope, inequalities, systems of equations, polynomials, rational expressions, rational exponents, radical expressions, graphing and applications. A graphing calculator or equivalent software may be utilized.

5.

STANDARD COMPETENCIES:

A.

Demonstrate competency in the prerequisite course.

B.

Demonstrate a knowledge and usage of Elementary Algebra and problem solving.

C.

Demonstrate a knowledge and usage of functions, graphing linear equations and inequalities.

D.

Demonstrate a knowledge and usage of systems of two equations in two and three variables.

E.

Demonstrate a knowledge and usage of inequalities and absolute value.

F.

Demonstrate a knowledge and usage of polynomials.

G.

Demonstrate a knowledge and usage of rational expressions.

H.

Demonstrate a knowledge and usage of exponents and radicals.

I.

Demonstrate a knowledge and usage of quadratic equations and functions.

J.

Demonstrate a knowledge and usage of Exponential and Logarithmic Functions.

6.

COURSE OUTLINE

8.0

Functions and Their Graphs

8.1 More on Graphs

8.2 Functions

8.3 Linear Functions

8.4 Slope, Modeling, and Linear Relationships

8.5 The Algebra of Functions

9.0

Systems of Linear Equations

9.1 Solving Systems of Equations Graphically

9.2 Solving Systems of Equations by Substitution

9.3 Solving Systems of Equations by the Addition Method

9.4 Systems of Linear Equations in Three Variables

9.5 Systems of Linear Equations: Applications and Problem Solving

9.6 Solving Systems of Equations using Determinants and Cramer’s Rule

10.0

Inequalities in One and Two Variables

10.1 Solving Linear Inequalities in One Variable

10.2 Solving Equations and Inequalities Containing Absolute Values

10.3 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities

11.0

Roots, Radicals and Complex Numbers

11.1 Roots and Radicals

11.2 Rational Exponents

11.3 Simplifying Radicals

11.4 Adding, Subtracting, and Multiplying Radicals

11.5 Dividing Radicals

11.6 Solving Radical Equations

11.7 Complex Numbers

12.0

Quadratic Functions

12.1 Solving Quadratic Equations by Completing the Square

12.2 Solving Quadratic Equations by the Quadratic Formula

12.3 Quadratic Equations: Applications and Problem Solving

12.4 Factoring Expressions and Solving Equations that are Quadratic in Form

12.5 Graphing Quadratic Functions

12.6 Quadratic and Other Inequalities in One Variable

13.0

Exponential and Logarithmic Functions

13.1 Composite and Inverse Functions

13.2 Exponential Functions

13.3 Logarithmic Functions

13.4 Properties of Logarithms

13.5 Common Logarithms

13.6 Exponential and Logarithmic Equations

13.7 Natural Exponential and Natural Logarithmic Functions

14.0

Conic Sections

14.1 The Parabola and the Circle

14.2 The Ellipse

14.3 The Hyperbola

14.4 Nonlinear Systems of Equations and Their Applications

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% - A
80 – 89% - B
70 – 79% - C
60 – 69% - D
0 – 59% - F

8.

SPECIAL REMARKS

Homework:

Homework will be assigned and evaluated as determined by the instructor.

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 time. 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.

Help is available outside of class in the math lab or from your instructor.

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.

1.	TITLE OF COURSE:	SURVEY OF ALGEBRA
	PREFIX/NUMBER:	MAT 106	CREDIT HOURS:	4
2.	PREREQUISITE:	Successful completion of MAT 090 with a S/C or better or Math Assessment

3.	RESOURCES NEEDED:
	TEXT:	Elementary and Intermediate Algebra for College Students, 3rd Ed., by Allen R. Angel
	SUPPLIES:	Paper, pencil, and scientific calculator
4.	COURSE DESCRIPTION:	Emphasizes problem solving with further study of equations, slope, inequalities, systems of equations, polynomials, rational expressions, rational exponents, radical expressions, graphing and applications. A graphing calculator or equivalent software may be utilized.

5.	STANDARD COMPETENCIES:
	A.	Demonstrate competency in the prerequisite course.
	B.	Demonstrate a knowledge and usage of Elementary Algebra and problem solving.
	C.	Demonstrate a knowledge and usage of functions, graphing linear equations and inequalities.
	D.	Demonstrate a knowledge and usage of systems of two equations in two and three variables.
	E.	Demonstrate a knowledge and usage of inequalities and absolute value.
	F.	Demonstrate a knowledge and usage of polynomials.
	G.	Demonstrate a knowledge and usage of rational expressions.
	H.	Demonstrate a knowledge and usage of exponents and radicals.
	I.	Demonstrate a knowledge and usage of quadratic equations and functions.
	J.	Demonstrate a knowledge and usage of Exponential and Logarithmic Functions.

6.	COURSE OUTLINE
	8.0		Functions and Their Graphs
			8.1 More on Graphs
			8.2 Functions
			8.3 Linear Functions
			8.4 Slope, Modeling, and Linear Relationships
			8.5 The Algebra of Functions
	9.0		Systems of Linear Equations
			9.1 Solving Systems of Equations Graphically
			9.2 Solving Systems of Equations by Substitution
			9.3 Solving Systems of Equations by the Addition Method
			9.4 Systems of Linear Equations in Three Variables
			9.5 Systems of Linear Equations: Applications and Problem Solving
			9.6 Solving Systems of Equations using Determinants and Cramer’s Rule
	10.0		Inequalities in One and Two Variables
			10.1 Solving Linear Inequalities in One Variable
			10.2 Solving Equations and Inequalities Containing Absolute Values
			10.3 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities
	11.0		Roots, Radicals and Complex Numbers
			11.1 Roots and Radicals
			11.2 Rational Exponents
			11.3 Simplifying Radicals
			11.4 Adding, Subtracting, and Multiplying Radicals
			11.5 Dividing Radicals
			11.6 Solving Radical Equations
			11.7 Complex Numbers
	12.0		Quadratic Functions
			12.1 Solving Quadratic Equations by Completing the Square
			12.2 Solving Quadratic Equations by the Quadratic Formula
			12.3 Quadratic Equations: Applications and Problem Solving
			12.4 Factoring Expressions and Solving Equations that are Quadratic in Form
			12.5 Graphing Quadratic Functions
			12.6 Quadratic and Other Inequalities in One Variable
	13.0		Exponential and Logarithmic Functions
			13.1 Composite and Inverse Functions
			13.2 Exponential Functions
			13.3 Logarithmic Functions
			13.4 Properties of Logarithms 13.5 Common Logarithms 13.6 Exponential and Logarithmic Equations 13.7 Natural Exponential and Natural Logarithmic Functions
	14.0		Conic Sections
			14.1 The Parabola and the Circle
			14.2 The Ellipse
			14.3 The Hyperbola
			14.4 Nonlinear Systems of Equations and Their Applications
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% - A 80 – 89% - B 70 – 79% - C 60 – 69% - D 0 – 59% - F
8.		SPECIAL REMARKS

Homework:	Homework will be assigned and evaluated as determined by the instructor.
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 time. 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.
Help is available outside of class in the math lab or from your instructor.

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.