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Transcript
```DEPARTMENT
OF
M A T HE M AT I C S
AN D
C O M PUT E R & I N F ORM A T I O N S CI E N CE
PRECALCULUS MA2090
Departmental Syllabus
TEXTBOOK:
Precalculus, 10th Edition, Michael Sullivan, Pearson, 2015, ISBN-13: 9780321978981
Prerequisite: A grade of C or higher in College Algebra-MA1020
COURSE DESCRIPTION:
A study of algebraic, logarithmic, exponential, and trigonometric functions and
their graphs. This course is designed primarily for students who wish to take MA2310 Calculus &
Analytic Geometry I.
COURSE OBJECTIVES:
The main goal of this course is to provide the student with the basic concepts of
functions and the mathematical maturity needed for learning calculus. Students will learn the
concepts of functions and use them as tools to model and solve practical problems.
AT T E ND AN C E :
Class attendance is required and a record of attendance will be kept. If you miss a
class it is your responsibility to find out what material was covered in class, what the homework
was and if any announcements have been made about the schedule for upcoming exams.
homework. There will be in class cumulative final exam. The grading scale is as follows:
A = [94, 100]
A = [90, 93]
TU T O R IA L:
B + = [87, 89]
C + = [77, 79]
D + = [67, 69]
B = [84, 86]
C = [74, 76]
D = [64, 66]
B  = [80, 83]
C  = [70, 73]
D  = [60, 63]
F = [0, 59]
Drop-in tutorial is available in the Mathematics Learning Center.
AC CO M M O DAT IO N S FO R S TU D EN T S WI T H SP E CI A L N E E D S: If you have or suspect you may have
Stacey DeFelice, Director, The Office of Services for Students with Disabilities (OSSD), NAB, 2065, Phone:
516-628-5666, Fax (516) 876-3005, TTD: (516) 876-3083. E-mail: [email protected] The office
will help you determine if you qualify for accommodations and assist you with the process of accessing
them. All support services are free and all contacts with the OSSD are strictly confidential.
TOPICS TO BE COVERED
Textbook Precalculus, 10th Edition, Michael Sullivan, Pearson, 2015, ISBN-13: 9780321978981
3 : L IN EA R AN D Q UA DR AT I C F UN C TI O N S
3.1
3.3
Linear Functions and Their Properties
4 : PO LY NO M IA L & R AT IO NA L FU NC T IO N S
4.1
4.2
4.3
4.4
4.5
Polynomial Functions and Models
Properties of Rational Functions
The Graph of a Rational Function
Polynomial and Rational Inequalities
The Real Zeros of a Polynomial Function
5 : E XPO N EN T IA L & L O G AR I TH M IC FU NC T IO N S
5.1
5.2
5.3
5.4
5.5
5.6
Composite Functions
One-to-One Functions; Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Logarithmic and Exponential Equations
6 : TR I GO NO M E TR I C FUN C TI O N S
6.1
6.2
6.3
6.4
6.5
6.6
Angles and Their Measure
Trigonometric Functions: Unit Circle Approach
Properties of the Trigonometric Functions
Graphs of the Sine and Cosine Functions
Graphs of the Tangent and Cotangent Functions
Phase Shift; Sinusoidal Curve Fitting
7 : A NA L Y TI C TR I G O NO M E TR Y
7.1
7.3
7.4
7.5
7.6
The Inverse Sine, Cosine, and Tangent Functions
Trigonometric Equations
Trigonometric Identities
Sum and Difference Formulas
Double-Angle and Half-Angle Formulas
8 : A PP L IC AT IO N S O F T R I G O N O M ET R IC FUN C TI O N S
8.1
8.2
8.3
8.5
Right Triangle Trigonometry; Applications
The Law of Sines
The Law of Cosines
Simple/Damped Harmonic Motion
```