Course Description:
This course is an intermediate algebra and trigonometry
course. It includes such topics such
as arithmetic with integers, algebraic representation, operations with
polynomials , solving
linear equations , solving systems of two linear equations in two variables,
exponents and
radicals, factoring, graphing linear equations, and the Pythagorean theorem.
Pre/CoRequisites:
MAT 012 or MAT 051 or the equivalent
Student Learning Outcomes: The students should be
able to:
• compute the sum, difference, product and quotient of
polynomials.
• simplify expressions involving exponents and scientific notation.
• factor trinomials, difference of two squares, sum and difference of two cubes ,
and
higherdegree polynomials.
• factor using grouping and greatest common factors .
• solve linear equations, absolute value equations and inequalities.
• solve polynomial equations by factoring.
• solve quadratic equations using factoring and the quadratic equation.
• solve systems of linear equations using elimination, substitution and
graphing .
• graph linear equations and inequalities in one and two variables.
• find the slope and intercepts of a line.
• find the slopes of parallel and perpendicular lines.
• find the equation of a line in slopeintercept and pointslope form.
• simplify algebraic expressions using integer and rational exponents .
• simplify and perform operations (addition, subtraction, multiplication,
division) with
radicals.
• rationalize a denominator involving a radical.
• simplify rational algebraic expressions using factoring.
• add, subtract, multiply , and divide rational algebraic expressions.
• simplify complex algebraic fractions.
• add, subtract, multiply and divide complex numbers.
• rationalize the denominator of the quotient of complex numbers.
• solve rational and radical equations.
• graph and find the equation of an equation's inverse.
• graph exponential and logarithmic equations .
• use the properties of exponentials and logarithms to solve equations.
• convert angle measurements between degrees and radians.
• for a given angle, find the exact or approximate measure of its reference,
coterminal,
complementary and supplementary angles.
• for a given angle, find the six exact or approximate trigonometric values.
• graph trigonometric equations.
• use identities to find trigonometric values.
• solve application problems using right triangle trigonometry, the law of sines
and
the law of cosines.
Required Text and Readings:
Algebra with Trigonometry for College Students, 5th
Edition, Charles McKeague, Saunders
College Publishing, 2002
Evaluation and Requirements of Students:
The final grade in this course will be a letter grade (A
F). At the beginning of the
semester, the instructor will advise the student of the determination of the
final grade
which will be based on a mandatory final examination worth at least 30% of the
final grade
and any other criteria specified by the instructor. The other criteria could
include but is not
limited to class work, examinations, quizzes, and projects. Students can obtain
copies of a
practice departmental final exam in the Math Lab (room S511) or from their
instructor.
Students are required to attend all scheduled classes. The college's attendance
policy, as
stated in the catalog, gives instructors the option of assigning a failing grade
to students
who are excessively absent.
Outline of Topics Text Pages 
Pages in Text 
Exponents and Scientific Notation 
38 
Polynomials, Sums, Differences and
Products 
49 
Factoring 
61 
Special Factoring 
70 
Equations and Inequalities in One
Variable 

Linear and Quadratic Equations in One
Variable 
101 
Formulas 
112 
Applications 
126 
Linear Inequalities in One Variable 
143 
Equations with Absolute Value 
154 
Inequalities Involving Absolute Value 
159 
Equations and Inequalities Two
Variables 

Paired Data and the Rectangular
Coordinate System 
178 
The Slope of a Line 
192 
The Equation of a Line 
202 
Rational Expressions and Rational
Functions 

Basic Properties and Reducing to
lowest terms 
347 
Division of Polynomials 
360 
Multiplication and Division of
Rational Expressions 
371 
Addition and Subtraction of Rational
Expressions 
380 
Complex Fractions 
389 
Equations Involving Rational
Expressions 
394 
Applications 
405 
Rational Exponents and Roots 

Rational Exponents 
426 
More Expressions Involving Rational
Exponents 
438 
Simplified Form for Radicals 
445 
Addition and Subtraction of Radical
Expressions 
457 
Multiplication and Division of
Radical Expressions 
461 
Equations with Radicals 
468 
Complex Numbers 
478 
Quadratic Functions 

Completing the Square 
493 
The Quadratic Formula 
505 
Systems of Linear Equations and
Inequalities 

Systems of Linear Equations in Ttio
Variables 
276 
Applications 
312 
Exponential and Logarithmic Functions
Fxponential Functions 

The Inverse of a Function 

Logarithms Are Exponents 

Properties of Logarithms 

Introduction to Trigonometry 

Degrees, Radians, and Special
Triangles 

Trigonometric Functions 

Trigonometric Functions and
Calculators 

Introduction to
Identities 

Right Triangle Trigonometry 

The Law of Sines 

The Law of Cosines 

College Attendance Policy:
1. Absences
At BMCC, the maximum number of absences is limited to one
more hour than the number of
hours a class meets in one week. For this course, you are allowed five hours of
absence (not
five days). In the case of excessive absence, the instructor has the option to
lower the grade or
assign an "F", "R", or "WU" grade.
2. Class Attendance
If you do not attend class at least once in the first
three weeks of the course and once in the
fourth or fifth weeks, the Office of the Registrar is required to assign a grade
of "WU".
Attendance in both regular and remedial courses is mandated by policy of the
City University
of New York. Instructors are required by New York State law to keep an official
record of
class attendance.
3. Lateness
Classes begin promptly at the times indicated in the
Schedule of Classes. Arrival in classes
after the scheduled starting time constitutes lateness. Latecomers may, at the
discretion of the
instructor, incur an official absence.
Academic Adjustments for Students with Disabilities:
Students with disabilities who require reasonable
accommodations or academic adjustments for
this course must contact the Office of Services for Students with Disabilities.
BMCC is
committed to providing equal access to all programs and curricula to all
students.
BMCC Policy on Plagiarism and Academic Integrity Statement:
Plagiarism is the presentation of someone else's ideas,
words or artistic, scientific, or technical
work as one's own creation. Using the idea or work of another is permissible
only when the
original author is identified. Paraphrasing and summarizing, as well as direct
quotations
require citations to the original source. Plagiarism may be intentional or
unintentional. Lack of
dishonest intent does not necessarily absolve a student of responsibility for
plagiarism.
Students who are unsure how and when to provide documentation are advised to
consult with
their instructors. The library has guides designed to help students to
appropriately identify a
cited work. For further information on integrity and behavior, please consult
the college bulletin (also
available online).