Intermediate Algebra and Trigonometry
This course is an introductory 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
MAT 0 1 2 or MAT 05 1 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
•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 slope-intercept and point-slope form.
•simplify algebraic expressions using integer and rational exponents.
•simplify and perform operations (addition, subtraction, multiplication, division)
•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, co-terminal,
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
Other Resources: None.
Use of Technology: None.
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 S5l I ) 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.
|K. Outline of Topics Text Pages||Pages in Text|
|Exponents and Scientific Notation
Polynomials, Sums, Differences and Products
|Equations and Inequalities in One Variable
Linear and Quadratic Equations in One Variable
Linear Inequalities in One Variable
Equations with Absolute Value
Inequalities Involving Absolute Value
|Equations and Inequalities Two Variables
Paired Data and the Rectangular Coordinate System
The Slope of a Line
The Equation of a Line
|Rational Expressions and Rational Functions
Basic Properties and Reducing to lowest terms
Division of Polynomials
Multiplication and Division of Rational Expressions
Addition and Subtraction of Rational Expressions
Equations Involving Rational Expressions
|Rational Exponents and Roots
More Expressions Involving Rational Exponents
Simplified Form for Radicals
Addition and Subtraction of Radical Expressions
Multiplication and Division of Radical Expressions
Equations with Radicals
Completing the Square
The Quadratic Formula
|Systems of Linear Equations and Inequalities
Systems of Linear Equations in Two Variables
|Exponential and Logarithmic Functions
The Inverse of a Function
Logarithms Are Exponents
Properties of Logarithms
|Introduction to Trigonometry
Degrees, Radians, and Special Triangles
Trigonometric Functions and Calculators
Introduction to Identities
Right Triangle Trigonometry
The Law of Sines
The Law of Cosines
College Attendance Policy:
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.
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
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).