MAT 121

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PUEBLO COMMUNITY COLLEGE

COURSE SYLLABUS

1.

TITLE OF COURSE:

College Algebra

PREFIX/NUMBER:

MAT 121

CREDIT HOURS:

4

2.

PREREQUISITE:

Successful completion of MAT 099 with a S/C or better or ACCUPLACER Math Test score 85 – 120 (EA)

3.

RESOURCES NEEDED:

TEXT:

College Algebra, 10/e by Margaret L. Lile, John Hornsby, and David I. Schneider

ISBN: 9780558695194

SUPPLIES:

MyLabsPlus Student Access Kit (packaged with new textbook or may be purchased online), paper, pencil and scientific calculator.

4.

COURSE DESCRIPTION:

Includes a brief review of intermediate algebra, equations and inequalities, functions and their graphs, exponential and logarithmic functions, linear and nonlinear systems, selection of topics from among graphing of the conic sections, introduction to sequences and series permutations and combinations, the binomial theorem, and theory of equations.

5.

COURSE OBJECTIVES :

A.      Be familiar with set notations, subsets of the real numbers and properties of real numbers.

B.      Perform algebraic manipulations including working with exponents, radicals, polynomial operations, factoring and algebraic fractions.

C.      Present methods for solving first and second degree equations and inequalities and related topics.

D.     Solve the following types of equations: linear, quadratic, equations involving radicals, equations in quadratic form and equations involving absolute value.

E.      Work with formulas including formula evaluation and solving formula for any of the variables.

F.       Read and analyze problems in the form of word problem applications and obtain solutions using equations.

G.     Solve first degree inequalities, higher degree inequalities and inequalities involving absolute value.

H.     Recognize and graph linear functions, absolute value functions, and graph inequalities in two variables.

I.        Work with function notation and demonstrate knowledge of the meaning "function."

J.        Demonstrate an understanding of function composition, one-to-one functions, and inverse functions.

K.      Examine, evaluate and graph exponential functions.

L.       Examine, evaluate and graph logarithmic functions.

M.   Work problems and solve equations containing exponential and logarithmic functions.

N.     Explore a variety of techniques use to solve linear and non-linear systems of equations.

O.     Use at least two of the following techniques to solve linear and non-linear systems of equations: substitution, addition, Gaussian elimination, Cramer's Rule.

P.      Have some familiarity with matrices and operations involving matrices.

Q.     Graph systems of inequalities.

R.      Graph conic sections including circles, parabolas, ellipses and hyperbolas.

S.       Identify the conic sections represented by a given second degree equation.

T.      Introduce various topics related to sequences and series.

U.     Work with series notation and sequence formulas, and counting principles.

V.      Apply the Binomial Theorem.

W.   Demonstrate an understanding of proof by mathematical induction.

X.      Present topics in theory of equations.

Y.      Perform synthetic division.

Z.      Use the Remainder Theorem and the Factor Theorem to factor and evaluate polynomials.

AA. Solve polynomial equations using the Rational Root Theorem and/or approximation techniques.

BB. Write and speak clearly and logically.

CC. Demonstrate the ability to select and apply contemporary forms of technology to solve problems or compile information.

6.

EVALUATION PROCEDURES:

The final grade for this course is determined by a combination of exams, quizzes, projects, and homework. The point value of each assignment will be given to the students by the instructor is a separate handout.

Grading Scale:
The following Grading Scale will be used:

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

7.

COURSE OUTLINE:

Textbook Chapters 1 – 7

1. Equations and Inequalities

1.1 Linear Equations

1.2 Applications and Modeling with Linear Equations

1.3 Complex Numbers

1.4 Quadratic Equations

1.5 Applications and Modeling with Quadratic Equations

1.6 Other Types of Equations and Applications

1.7 Inequalities

1.8 Absolute Value Equations and Inequalities

2. Graphs and Functions

2.1 Rectangular Coordinates and Graphs

2.2 Circles

2.3 Functions

2.4 Linear Functions

2.5 Equations of Lines; Curve Fitting

2.6 Graphs of Basic Functions

2.7 Graphing Techniques

2.8 Function Operations and Composition

3. Polynomial and Rational Functions

3.1 Quadratic Functions and Models

3.2 Synthetic Division

3.3 Zeros of Polynomial Functions

3.4 Polynomial Functions: Graphs, Applications, and Models

3.5 Rational Functions: Graphs, Applications, and Models

3.6 Variation

4. Inverse, Exponential, and Logarithmic Functions

4.1 Inverse Functions

4.2 Exponential Functions

4.3 Logarithmic Functions

4.4 Evaluating Logarithms and the Change-of-Base Theorem

4.5 Exponential and Logarithmic Equations

4.6 Applications and Models of Exponential Growth and Decay

5. Systems and Matrices

5.1 Systems of Linear Equations

5.2 Matrix Solution of Linear Systems

5.3 Determinant Solution of Linear Systems

5.4 Partial Fractions

5.5 Nonlinear Systems of Equations

5.6 Systems of Inequalities and Linear Programming

6. Analytic Geometry

6.1 Parabolas

6.2 Ellipses

6.3 Hyperbolas

6.4 Summary of the Conic Sections

7. Further Topics in Algebra

7.1 Sequences and Series

7.4 The Binomial Theorem

8.

METHODS OF INSTRUCTION:

To be successful in this course, students are expected to participate in discussions, readings, in-class writing, and peer review activities.

Special Note for Pueblo Campus: This course uses MyLabsPlus for all assignments and exams and requires active participation in the use of the online software program. All Assignments and Exams must be done in MyLabsPlus.

Special Note for Online Section (01W): This course requires active participation in using computer software to view demonstrations, hear lectures, and respond to assignments on the web. Class meetings will be delivered on the web. YOU ARE NOT REQUIRED TO ATTEND ONSITE CLASSES; ALL WORK IS COMPLETED ONLINE. The examinations will be given via MyMathLab. You must have access to a computer that allows access to the internet, if you do not have such access, you MUST drop from the course immediately.

The instructor may assign point values to such activities.

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. Disciplinary sanctions for violating the standards of academic integrity may include warning, probation, or suspension. Academic sanctions may include failure of the course or the assignment at the discretion of the instructor. Students may receive both disciplinary and academic sanctions.

10.

DISABILITY STATEMENT:

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.

11.

SPECIAL REMARKS:

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

Attendance: Attendance will be taken and students may be withdrawn from the class 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.

Special Note for Online Section (01W): You are not required to attend on campus classes. All coursework is completed online. Your first login to Desire2Learn (D2L) and/or MyLabsPlus (MLP) is considered attending class for the first time. Subsequent logins constitutes attending class. Your last date of attendance will be recorded based on your last login to either D2L or MLP.

Conduct: Professional and courteous behavior is expected at all times. Disruptive behavior is UNACCEPTABLE in the classroom and will result in immediate disciplinary sanctions which may include the student’s temporary or permanent removal from the class.

Use of Electronics in the Classroom: Computers and other electronic devices may be used in the classroom only for academic purposes as directed by the instructor. Texting and/or accessing personal e-mail and Facebook are not allowed. All cell phones must be turned off during class. If a student uses an unapproved electronic device during a test or class activity, the student will receive no credit for the activity or test, may be asked to leave the classroom, and/or may fail the course for cheating.

1.	TITLE OF COURSE:	College Algebra
	PREFIX/NUMBER:	MAT 121	CREDIT HOURS:	4
2.	PREREQUISITE:	Successful completion of MAT 099 with a S/C or better or ACCUPLACER Math Test score 85 – 120 (EA)
3.	RESOURCES NEEDED:
	TEXT:	College Algebra, 10/e by Margaret L. Lile, John Hornsby, and David I. Schneider ISBN: 9780558695194
	SUPPLIES:	MyLabsPlus Student Access Kit (packaged with new textbook or may be purchased online), paper, pencil and scientific calculator.
4.	COURSE DESCRIPTION:	Includes a brief review of intermediate algebra, equations and inequalities, functions and their graphs, exponential and logarithmic functions, linear and nonlinear systems, selection of topics from among graphing of the conic sections, introduction to sequences and series permutations and combinations, the binomial theorem, and theory of equations.
5.	COURSE OBJECTIVES :	A. Be familiar with set notations, subsets of the real numbers and properties of real numbers. B. Perform algebraic manipulations including working with exponents, radicals, polynomial operations, factoring and algebraic fractions. C. Present methods for solving first and second degree equations and inequalities and related topics. D. Solve the following types of equations: linear, quadratic, equations involving radicals, equations in quadratic form and equations involving absolute value. E. Work with formulas including formula evaluation and solving formula for any of the variables. F. Read and analyze problems in the form of word problem applications and obtain solutions using equations. G. Solve first degree inequalities, higher degree inequalities and inequalities involving absolute value. H. Recognize and graph linear functions, absolute value functions, and graph inequalities in two variables. I. Work with function notation and demonstrate knowledge of the meaning "function." J. Demonstrate an understanding of function composition, one-to-one functions, and inverse functions. K. Examine, evaluate and graph exponential functions. L. Examine, evaluate and graph logarithmic functions. M. Work problems and solve equations containing exponential and logarithmic functions. N. Explore a variety of techniques use to solve linear and non-linear systems of equations. O. Use at least two of the following techniques to solve linear and non-linear systems of equations: substitution, addition, Gaussian elimination, Cramer's Rule. P. Have some familiarity with matrices and operations involving matrices. Q. Graph systems of inequalities. R. Graph conic sections including circles, parabolas, ellipses and hyperbolas. S. Identify the conic sections represented by a given second degree equation. T. Introduce various topics related to sequences and series. U. Work with series notation and sequence formulas, and counting principles. V. Apply the Binomial Theorem. W. Demonstrate an understanding of proof by mathematical induction. X. Present topics in theory of equations. Y. Perform synthetic division. Z. Use the Remainder Theorem and the Factor Theorem to factor and evaluate polynomials. AA. Solve polynomial equations using the Rational Root Theorem and/or approximation techniques. BB. Write and speak clearly and logically. CC. Demonstrate the ability to select and apply contemporary forms of technology to solve problems or compile information.
6.	EVALUATION PROCEDURES:	The final grade for this course is determined by a combination of exams, quizzes, projects, and homework. The point value of each assignment will be given to the students by the instructor is a separate handout. Grading Scale: The following Grading Scale will be used: 90% – 100% - A 80% – 89% - B 70% – 79% - C 60% - 69% - D 0% - 59% - F
7.	COURSE OUTLINE:	Textbook Chapters 1 – 7 1. Equations and Inequalities 1.1 Linear Equations 1.2 Applications and Modeling with Linear Equations 1.3 Complex Numbers 1.4 Quadratic Equations 1.5 Applications and Modeling with Quadratic Equations 1.6 Other Types of Equations and Applications 1.7 Inequalities 1.8 Absolute Value Equations and Inequalities 2. Graphs and Functions 2.1 Rectangular Coordinates and Graphs 2.2 Circles 2.3 Functions 2.4 Linear Functions 2.5 Equations of Lines; Curve Fitting 2.6 Graphs of Basic Functions 2.7 Graphing Techniques 2.8 Function Operations and Composition 3. Polynomial and Rational Functions 3.1 Quadratic Functions and Models 3.2 Synthetic Division 3.3 Zeros of Polynomial Functions 3.4 Polynomial Functions: Graphs, Applications, and Models 3.5 Rational Functions: Graphs, Applications, and Models 3.6 Variation 4. Inverse, Exponential, and Logarithmic Functions 4.1 Inverse Functions 4.2 Exponential Functions 4.3 Logarithmic Functions 4.4 Evaluating Logarithms and the Change-of-Base Theorem 4.5 Exponential and Logarithmic Equations 4.6 Applications and Models of Exponential Growth and Decay 5. Systems and Matrices 5.1 Systems of Linear Equations 5.2 Matrix Solution of Linear Systems 5.3 Determinant Solution of Linear Systems 5.4 Partial Fractions 5.5 Nonlinear Systems of Equations 5.6 Systems of Inequalities and Linear Programming 6. Analytic Geometry 6.1 Parabolas 6.2 Ellipses 6.3 Hyperbolas 6.4 Summary of the Conic Sections 7. Further Topics in Algebra 7.1 Sequences and Series 7.4 The Binomial Theorem
8.	METHODS OF INSTRUCTION:	To be successful in this course, students are expected to participate in discussions, readings, in-class writing, and peer review activities. Special Note for Pueblo Campus: This course uses MyLabsPlus for all assignments and exams and requires active participation in the use of the online software program. All Assignments and Exams must be done in MyLabsPlus. Special Note for Online Section (01W): This course requires active participation in using computer software to view demonstrations, hear lectures, and respond to assignments on the web. Class meetings will be delivered on the web. YOU ARE NOT REQUIRED TO ATTEND ONSITE CLASSES; ALL WORK IS COMPLETED ONLINE. The examinations will be given via MyMathLab. You must have access to a computer that allows access to the internet, if you do not have such access, you MUST drop from the course immediately. The instructor may assign point values to such activities.
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. Disciplinary sanctions for violating the standards of academic integrity may include warning, probation, or suspension. Academic sanctions may include failure of the course or the assignment at the discretion of the instructor. Students may receive both disciplinary and academic sanctions.
10.	DISABILITY STATEMENT:	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.
11.	SPECIAL REMARKS:	*Homework: Homework will be assigned and evaluated as determined by the instructor. Attendance: Attendance will be taken and students may be withdrawn from the class 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. Special Note for Online Section (01W):* You are not required to attend on campus classes. All coursework is completed online. Your first login to Desire2Learn (D2L) and/or MyLabsPlus (MLP) is considered attending class for the first time. Subsequent logins constitutes attending class. Your last date of attendance will be recorded based on your last login to either D2L or MLP. *Conduct: Professional and courteous behavior is expected at all times. Disruptive behavior is UNACCEPTABLE* in the classroom and will result in immediate disciplinary sanctions which may include the student’s temporary or permanent removal from the class. *Use of Electronics in the Classroom:* Computers and other electronic devices may be used in the classroom only for academic purposes as directed by the instructor. Texting and/or accessing personal e-mail and Facebook are not allowed. All cell phones must be turned off during class. If a student uses an unapproved electronic device during a test or class activity, the student will receive no credit for the activity or test, may be asked to leave the classroom, and/or may fail the course for cheating.