HomeMy WebLinkAboutMAT-048Fall 2014.1 – MAT 048
BERGEN COMMUNITY COLLEGE
DIVISION OF MATHEMATICS, SCIENCE AND TECHNOLOGY
DEPARTMENT OF DEVELOPMENTAL MATHEMATICS
COURSE SYLLABUS
MAT-048 Algebra
INSTRUCTOR: ________________________________ OFFICE _________________________
EMAIL: ______________________________________ PHONE: _________________________
COURSE MAT- 048 Algebra is a basic algebra course for students whose placement examination
DESCRIPTION indicates a need for review in algebra and whose program of study requires the co mpletion
of MAT -160 Intermediate Algebra. MAT- 048 does satisfy the prerequisite requirement for
MAT-160. Topics include signed numbers, variables, literal equations and formulas, square
roots, integral exponents, polynomials, linear, quadratic and absolute value equations,
rational
expressions, and inequalities.
PREREQUISITES: MAT-011 with a grade of C or better or by Testing
CREDITS/HOURS: 5 credits (non-degree), 5 hours
GEN’L ED COURSE: No
STUDENT Upon successful completion of this course, students will be able to:
LEARNING 1. Evaluate arithmetic and algebraic expressions, including exponential expressions,
OUTCOMES: polynomial expressions, rational expressions, and radical expressions
2. Simplify arithmetic and algebraic expressions, including exponential expressions,
polynomial expressions, rational expressions, and radical expressions
3. Solve equations, including linear equations in one variable, literal equations,
absolute value equations, systems of linear equations, and quadratic equations
4. Solve and graph linear inequalities in one variable
5. Factor algebraic expressions
6. Graph linear equations in two variables
7. Write an equation of a line given certain conditions
8. Use linear equations in one variable and systems of linear equations in the
solution of verbal problems
ASSESSMENT Each of the above listed student learning objectives will be assessed by,
MEASURES: 1. Homework assignments and quizzes
2. Written examinations
3. Other, as announced by the instructor
TEXT: MyMathLab Code, by Martin-Gay; Pearson. (includes eBOOK)
Fall 2014.1 – MAT 048
ELECTRONIC The Department of Mathematics prohibits the use of cell -phones, PDA’s, laptops,
DEVICES: headphones, IPODs and other such devices in mathematics classes unless otherwise
specified by the grading policy provided by the instructor at the beginning of the
semester.
CALCULATOR USAGE: A four function calculator is allowed after the first unit exam.
COURSE OF STUDY:
Topic Sections
Real Numbers and Introduction to Algebra 8.1, 8.2, 8.3, 8.4, 8.5, 8.6 , 8.7
Equations, Inequalities, and Problem Solving 9.1, 9.2, 9.3, 9.4, 9.5, 9.6, 9.7, A.2, A.3
Graphing Equations 10.1, 10.2, 10.3, 10.4, 10.5
Systems of Equations 11.1, 11.2, 11.3, 11.4,
Exponents and Polynomials 12.1, 12.2, 12.3, 12.4, 12.5, 12.6, 12.7
Factoring Polynomials 13.1, 13.2, 13.3, 13.4, 13.5, 13.6, A.1
Rational Expressions 14.1, 14.2, 14.3, 14.4, 14.5, 14.6
Roots and Radicals 15.1, 15.2, 15.3, 15.4,
Quadratic Equations 16.1, 16.2, 16.3
GRADING POLICY: Refer to the instructor’s grading policy on the course outline distributed during the first
class.
All students must take the departmental final exam. The final will count for 25% of the overall grade, but a
student who fails to attain a grade of 55% or better on the Final Exam will be unable to receive a passing
grade for the course.
Tests and Quizzes will account for no less than 60% of the overall grade.
Grades in the developmental courses will be assigned as follows:
o A = 90-100 %
o B+ = 86-89 %
o B = 80-85 %
o C+ = 76-79 %
o C = 70-75 %
o F = Below 70 %
BCC Attendance Policy:
All students are expected to attend punctually every scheduled meeting of each course in which they are
registered. Attendance and lateness policies and sanctions are to be determined by the instructor for each
section of each course. These will be established in writing on the individual course outline. Attendance will
be kept by the instructor for administrative and counseling purposes.
Fall 2014.1 – MAT 048
Developmental Mathematics Departmental Attendance Policy:
A student who exceeds the allowable maximum number of ab sences (see chart below) may be given an “E” grade.
Note: two late arrivals or two early departures will equal one absence. In summer, classes missed may count as
double absences.
Courses which meet: Maximum absences:
15-weeks 6 absences allowed
12-weeks 7 absences allowed
7-weeks 3 absences allowed
EXTRA HELP:
The Henry and Edith Cerullo Learning Assistance Center (CLAC), L-125, is a source of tutorial
assistance in understanding operations of basic mathematics and in problem solving. For an exact schedule,
call 201-447-7489.
Math Walk-In Center, A113, offers tutorial support in a collaborative setting.
The CLAC at the Meadowlands, Room 202. Tutors are available to aid in the understanding and
reinforcement of the course material learned in class. Hours will be posted on the door. For an exact
schedule, call (201) 493-4096 or visit http://www.bergen.edu/current-students/tutoring/testing-and-tutoring-
at-the-meadowlands
FACULTY “CLASS CANCELLATIONS” may be found by clicking on “Current Students”
ABSENCE followed by “Class Cancellations” on the Bergen Community College website,
PROCEDURE: www.bergen.edu. A list is also posted in a glass case near A-129, the main corridor on
the first floor, in Ender Hall or in the lobby of the Meadowlands Campus.Students
may consult these listings before going to class. If a cancelled class is not listed, it
should be reported to the Dean’s Office (A-325) or the Adjunct Office (C-100).
Students who require accommodations in accordance with the American with Disabilities Act can request
these services from the Office of Specialized services. To learn more about how to apply for services,
please visit them at http://www.bergen.edu/oss
The BCC food pantry is available to meet the urgent needs of members of our campus community. The
Food Pantry provides non-perishable food items, toiletries, and additional support services in an
environment that emphasizes discretion and confidentiality. Anyone needing assistance is encouraged to
visit HS-100 (Office of Health Services) Monday through Thursday 9am -9pm. Donations will also be
accepted in HS-100.
Fall 2014.1 – MAT 048
MAT-048 ALGEBRA: CONTENT
MODULE 6 Real Numbers and Introduction to Algebra
8.1 Symbols and Sets of Numbers
8.2 Exponents, Order of Operations, and Variable Expressions
8.3 Adding Real Numbers
8.4 Subtracting Real Numbers
8.5 Multiplying and Dividing Real Numbers
8.6 Properties of Real Numbers
8.7 Simplifying Expressions
MODULE 7 Equations, Inequalities and Problem Solving
9.1 The Addition Property of Equality
9.2 The Multiplication Property of Equality
9.3 Further Solving Linear Equations
9.4 A Further Introduction to Problem Solving
9.5 Formulas and Problem Solving
9.6 Percent Problem Solving
9.7 Linear Inequalities and Problem Solving
A.2 Compound Inequalities
A.3 Absolute Value Equations
MODULE 8 Graphing Equations
10.1 The Rectangular Coordinate System
10.2 Graphing Linear Equations
10.3 Intercepts
10.4 Slope and Rates of Change
10.5 Equations of Lines
MODULE 9 Graphing Equations and Systems of Equations
11.1 Graphing Systems of Equations
11.2 Solving Systems of Linear Equations by Substitution
11.3 Solving Systems of Equations by Elimination
11.4 Solving of Linear Equations and Problem Solving
Direct Translation, Comparison, Perimeter, and Value problems
MODULE 10 Exponents and Polynomials
12.1 Exponents
12.2 Negative Exponents and Scientific Notation
12.3 Introduction to Polynomials
12.4 Adding and Subtracting Polynomials
12.5 Multiplying Polynomials
12.6 Special Products
12.7 Dividing Polynomials (12.7(a) only)
Fall 2014.1 – MAT 048
MODULE 11 Factoring Polynomials
13.1 The greatest Common Factor (and Grouping);
13.2 Factoring Trinomials of the Form x2 + bx + c
(13.3 Factoring Trinomials of the Type ax2 + bx + c By Trial and Error) – Optional
13.4 Factoring Trinomials of the Type ax2 + bx + c by Grouping
13.5 Factoring Perfect Square Trinomials and Difference of Squares
A.1 Factoring Sums and Difference of Cubes
13.6 Solving Quadratic Equations by Factoring
MODULE 12 Rational Expressions and Equations
14.1 Simplifying Rational Expressions
14.2 Multiplying and Dividing Rational Expressions
14.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common
Denominator
14.4 Adding and Subtracting Rational Expressions with Different Denominators
14.5 Solving Equations Containing Rational Expressions
14.6 Rational Equations and Problem Solving
MODULE 13 Roots and Radicals
15.1 Introduction to Radicals
15.2 Simplifying Radicals
15.3 Adding and Subtracting Radicals
15.4 Multiplying and Dividing Radicals (Denominator Containing One Term)
MODULE 14 Quadratic Equations
16.1 Solving Quadratic Equations by the Square Root Method
16.2 Solving Quadratic Equations by the Completing the Square
16.3 Solving Quadratic Equations by the Quadratic Formula
Fall 2014.1 – MAT 048
MAT 048
TENTATIVE SCHEDULE Fall 2014
Textbook: Martin-Gay 15-WEEK SCHEDULE
Week
1
Symbols and Sets of numbers and
Exponents and Order of Operations
Sections 8.1, 8.2
Adding, Subtracting, Multiplying
and Dividing
Real Numbers
Sections 8.3 -8.5
Properties of Real Numbers and
Simplifying Expressions
Sections 8.6, 8.7
Week
2 Review Test 1
The Addition and Multiplication
Property of Equality
Sections 9.1, 9.2
Week
3
Further Solving of Linear Equations
and Introduction to Problem
Solving
Sections 9.3, 9.4
Formulas and Percent Problem
Solving
Sections 9.5, 9.6
Linear Inequalities and
Compound Inequalities
Sections 9.7, A.2
Week
4
Absolute Value Equations/Review
Section A.3 Test 2
Rectangular Coordinate System
and Graphing Linear Equations
Sections 10.2, 10.2
Week
5
Intercepts and Slope
Sections 10.3, 10.4
Equations of Lines
Section 10.5
Graphing Systems of Equations
Section 11.1
Week
6
Solving a Systems of Equations by
Substitution and Elimination
Sections 11.2, 11.3
Solving Applications with Two
Variables
Section 11.4
Review
Week
7 Test 3 Exponents and Scientific Notation
Sections 12.1,12.2
Introduction to Polynomials and
Adding and Subtracting
Polynomials
Sections 12.3, 12.4
Week
8
Multiplying and Dividing
Polynomials
Sections 12.5-12.7
GCF Factoring and Factor by
Grouping
Sections 13.1, 13.2
Factoring Trinomials
Sections 13.2-13.4
Week
9
Factoring Perfect Square Trinomials
and Difference of Squares
Section 13.5
Factoring Sums and Differences of
Cubes
Section A.1
Solving Quadratics Equations by
Factoring
Section 13.6
Week
10 Review Test 4 Simplifying Rational Expressions
Section 14.1
Week
11
Multiplying and Dividing Rational
Expressions
Section 14.2
Adding and Subtracting Rational
Expression
Sections 14.3, 14.4
Solving Equations with Rational
Expressions
Section 14.5
Week
12
Rational Equations and Problem
Solving
Section 14.6
Review Test 5
Week
13
Introduction to Radicals and
Simplifying Radicals
Sections 15.1, 15.2
Adding, Subtracting, Multiplying
and Dividing Radicals
Sections 15.3, 15.4
Solving Quadratic Equations by
Square Root Method and
Completing the Square
Sections 16.1, 16.2
Week
14
Quadratic Formula
Section 16.3 Review Test 6
Week
15 Review Review Final