Course Syllabus for College Algebra
Course Description
This course covers variables and symbols; scientific notation; logarithms
and applications; roots, rational exponents and complex numbers; formulas and
literal equations; polynomials, products and factors; solving linear, quadratic,
and higher order equations; rational expressions; solving inequalities; graphs
of linear functions and inequalities; graphs of quadratic functions; slope,
intercepts, and equations of lines; solving systems of linear equations; and
applied problem solving. Prerequisite: MAT 050 or its equivalent or Placement
test
Course Objectives
Upon successful completion of the course, the student will be able to:
1. Use the properties of real numbers to simplify and evaluate expressions.
2. Solve linear equations and inequalities.
3. Use and transform formulas and functions .
4. Graph linear equations and inequalities in one and two variables .
5. Write the three forms of the equation of a line.
6. Solve systems of linear equations by graphing, substitution, and addition.
7. Apply the laws of exponents and use scientific notation.
8. Factor and perform operations with polynomials .
9. Solve quadratic equations by three methods: factoring, completing the square,
and using the Quadratic Formula.
10. Graph quadratic equations.
11. Perform operations with rational algebraic expressions, and solve rational
equations.
12. Simplify and perform operations with radical expressions and rational
exponents.
13. Use exponential and logarithmic functions and the properties of logarithms.
14. Solve word problems using one or more of the above skills.
Course Requirements
Students are expected to attend all scheduled classes, do the homework
assigned each day for the next class, take tests, and be active participants in
the class.
Student Evaluation and Testing
Student evaluation may include inclass testing, class attendance,
participation in classwork, and homework assignments. Your instructor will make
clear his/her grading policy.
Required Text, Tools, and/or Supplies:
Algebra for College Students, Mark Dugopolski, 5^{th} edition, McGraw Hill,
2009
If purchased in the SMCC bookstore, the text will be packaged with the Student
Solutions Manual and a MathZone Access card.
Scientific calculator (required)
Nondiscrimination and Disability Statements:
Southern Maine Community College is an equal opportunity/affirmative action
institution and employer. For more information, please call 2077415798.
If you have a disabling condition and wish to request accommodations in order to
have reasonable access to the programs and services offered by SMCC, you must
register with the disability services coordinator, Mark Krogman, who can be
reached at 7415629.
(TTD 2077415667) Further information about services for students with
disabilities and the accommodation process is available upon request at this
number.
Course Evaluation: Students may evaluate the course online and anonymously by going to “Resources for Current Students” at the SMCC homepage and selecting “Evaluate Your Courses.” The online course evaluation is available to students two weeks prior to the end date of the course. Students cannot see a course grade online until the online course evaluation is completed.
Grading Policy: Test will count 50% towards your final grade. Homework and quizzes will count as the remaining 50% of the final grade.
Homework Policy: Homework will be assigned each class and will be due on the date specified on the assignment calendar. Do not list answers only, but show work that is required for the solution. Use the student solution manual as a guide on how I would like you to show your work. Homework will be graded as a 10point quiz grade. The grade will be based on your performance and completeness of the assignment. Homework submitted late will be assessed a deduction of 2 points for each calendar day late.
Quiz/Test Makeup Policy: Quizzes may not be made up. You must be in class the day of a quiz to take the quiz and get credit for it. If you are absent the day of a test, you have 1 calendar week to make up the test. After the week has elapsed, a grade of zero (0) will be assigned for the test.
Attendance Policy: Attendance in class is critical to your success in this
course and is mandatory. Three consecutive absences will result in an automatic
failure (AF), and 5 cumulative absences will
result in an automatic failure (AF). Attendance is defined as being in class for
the whole class. If you
are more than 10 minutes late or need to leave early for any reason, you will be
counted as absent for
the class. There is no such thing as an excused absence. Make your doctor
appointments and
schedule your other commitments when you are not scheduled for class.
Tutoring Service and Extra Help: This is not an easy course and it will move
very rapidly. You
must keep up to be successful. I will be available to help you by appointment.
There are also math
tutors available free of charge and at your convenience in the Learning
Assistance Center located on
the second floor of the Campus Center. I strongly suggest visiting them early
and often to keep up
and make sure you comprehend the skills and concepts we will be studying.
Required Course Topics, MAT 108:
CHAPTER 1 THE REAL NUMBERS  all sections 
Sets and The Real Numbers Operations on the Set of Real Numbers Evaluating Expressions Properties of the Real Numbers and Using the Properties 

CHAPTER 2 LINEAR EQUATIONS & INEQUALITIES IN ONE VARIABLE  all sections 
Linear Equations in one variable Formulas & Applications Inequalities Compound Inequalities Absolute Value Equations and Inequalities 

CHAPTER 3 LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES  all sections 
Graphing Lines in the Coordinate Plane The Slope of a Line Three Forms for the Equation of a Line Linear Inequalities and Their Graphs Functions and Relations 

CHAPTER 4 SYSTEMS OF LINEAR EQUATIONS  4.1, 4.2, 4.3 (exclude 4.4, 4.5, 4.6) 
Solving Systems by Graphing and Substitution The Addition Method Systems of Linear Equations in Three Variables 

CHAPTER 5 EXPONENTS AND POLYNOMIALS  all sections 
Integral Exponents and Scientific Notation The Power Rules Polynomials and Polynomial Functions Multiplying Binomials Factoring Polynomials Factoring ax^{2} + bx + c Solving Equations by Factoring 

CHAPTER 6 RATIONAL EXPRESSIONS AND FUNCTIONS  all sections 
Properties Rational Expressions Multiplication and Division Addition and Subtraction Complex Fractions Division of Polynomials Solving Equations Involving Rational Expressions Applications 

CHAPTER 7 RADICALS AND RATIONAL EXPONENTS  all sections 
Radical Rational Exponents Operations with Radicals Quotients, Powers, and Rationalizing Denominators Solving Equations with Radicals and Exponents Complex Numbers 

CHAPTER 8 QUADRATIC EQUATIONS, FUNCTIONS AND INEQUALITIES  8.1, 8.2, 8.4 (exclude 8.3 and 8.5) 
Factoring and Completing the Square Quadratic Formula Quadratic Functions and Their Graphs 

CHAPTER 11 EXPONENTIAL AND LOGARITHMIC FUNCTIONS  11.1, 11.2 11.3 (optional) (exclude 11.4) 
Exponential Functions and Their Applications (exclude
11.4) Logarithmic Functions and Their Applications Properties of Logarithms (optional) 
CHAPTER 1 THE REAL NUMBERS
all sections
Sets and The Real Numbers
Operations on the Set of Real Numbers
Evaluating Expressions
Properties of the Real Numbers and Using the Properties
CHAPTER 2 LINEAR EQUATIONS & INEQUALITIES IN ONE VARIABLE
all sections
Linear Equations in one variable
Formulas & Applications
Inequalities
Compound Inequalities
Absolute Value Equations and Inequalities
CHAPTER 3 LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES
all sections
Graphing Lines in the Coordinate Plane
The Slope of a Line
Three Forms for the Equation of a Line
Linear Inequalities and Their Graphs
Functions and Relations
CHAPTER 4 SYSTEMS OF LINEAR EQUATIONS
4.1, 4.2, 4.3
(exclude 4.4, 4.5, 4.6)
Solving Systems by Graphing and Substitution
The Addition Method
Systems of Linear Equations in Three Variables
CHAPTER 5 EXPONENTS AND POLYNOMIALS
all sections
Integral Exponents and Scientific Notation
The Power Rules
Polynomials and Polynomial Functions
Multiplying Binomials
Factoring Polynomials
Factoring ax^{2} + bx + c
Solving Equations by Factoring
CHAPTER 6 RATIONAL EXPRESSIONS AND FUNCTIONS
all sections
Properties Rational Expressions
Multiplication and Division
Addition and Subtraction
Complex Fractions
Division of Polynomials
Solving Equations Involving Rational Expressions
Applications
CHAPTER 7 RADICALS AND RATIONAL EXPONENTS
all sections
Radical
Rational Exponents
Operations with Radicals
Quotients, Powers, and Rationalizing Denominators
Solving Equations with Radicals and Exponents
Complex Numbers
CHAPTER 8 QUADRATIC EQUATIONS, FUNCTIONS AND INEQUALITIES
8.1, 8.2, 8.4
(exclude 8.3 and 8.5)
Factoring and Completing the Square
Quadratic Formula
Quadratic Functions and Their Graphs
CHAPTER 11 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
11.1, 11.2
11.3 (optional)
(exclude 11.4)
Exponential Functions and Their Applications
Logarithmic Functions and Their Applications
Properties of Logarithms (optional)
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