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# Precalculus

Course Description: This course covers basic algebraic and trigonometric skills, graphing
algebraic and transcendental functions and Analytic Trigonometry

Prerequisites/Co-requisites:
Intermediate Algebra and Trigonometry (MAT 056) or the
equivalent with the departmental approval.

Student Learning Outcomes:
1) Students will be able to graph, interpret, and analyze linear, quadratic, and other
higher order polynomial functions.
2) Students will understand quadratic and rational functions and the properties
associated with their graphs.
3) Students will be familiar with transcendental functions, their respective graphs, and
properties.
4) Students will be able to verify trigonometric identities and solve trigonometric
equations.

Required Text: Precalculus, seventh edition; Roland E. Larson & Robert P. Hostetler;
Houghton Mifflin Company, Boston, Massachusetts, 2004

Other Resources: Houghton Mifflin, EDUSPACE

Evaluation & Requirements of Students:
At the beginning of the semester, the instructor will
advise the student of the determination of the final grade, which will be based on class work,
tests, and the final examination. Students are required to attend all scheduled classes.

 Outline of Topics: TOPICS TEXT PAGES REVIEW OF FUNDAMENTAL CONCEPTS OF ALGEBR.(Appendix A) A. l Real Numbers and Their Properties A.2 Exponents and Radicals (OPTIONAL: Exponents & the Calculator) All-An A.5 Solving Equations A46 -A59 A.6 Solving Inequalities in One Variable A60 -A69 FUNCTIONS AND THEIR. GRAPHS 1.1 Rectangular Coordinates 2-13 1.2 Graphs of Equations 4-24 1.3 Linear Equations in Two Variables 25-39 1.4 Functions 40-53 1.5 Analyzing Graphs of Functions 54-65 1.6 A Library of Parent Functions 66 -73 1.7 Transformations of Functions 74-83 1.8 Combinations of Functions: Composite Functions 84-92 1.9 Inverse Functions 93-102 1.0 Mathematical Modeling and Variation 103-114 POLYNOMIAL AND RATIONAL FUNCTIONS 2.1 Quadratic Functions 128 -138 2.2 Polynomial Functions of Higher Degree 139 -152 2.3 Polynomial and Synthetic Division 153-161 2.4 Complex Numbers 162 -168 2.5 Zeros of Polynomial Functions 169 -183 2.6 Rational Functions 184 -196 7.4 Partial Fractions 533 -538 EXPONENTIAL AND LOGARITHMIC FUNCTIONS 3.1 Exponential Functions and Their Graphs 218-228 3.2 Logarithmic Functions and Their Graphs 229 -238 3.3 Properties of Logarithms 239 -245 3.4 Exponential and Logarithmic Equations 246 -256 TRIGONOMETRY 4.1 Radian and Degree Measure 282 -293 4.2 Trigonometric Functions: The Unit Circle 294 -300 4.3 Right Triangle Trigonometry 301-311 4.4 Trigonometric Functions of Any Angle 312-320 4.5 Graphs of Sine and Cosine Functions 321-331 4.6 Graphs Other Trigonometric Functions 332 -342 4.7 Inverse Trigonometric Functions 343 -352 ANALYTIC TRIGONOMETRY 5.1 Using Fundamental Identities 374-381 5.2 Verifying Trigonometric Identities 382-388 5.3 Solving Trigonometric Equations 389 -399 5.4 Sum and Difference Formulas 400 -406

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 example, you may be enrolled in a three-hour class. In that
class, you would be allowed 4 hours of absence (not 4 days). In the case of excessive absences,
the instructor has the option to lower the grade or assign an F or WU grade.

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).