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.
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).