Shepherd University

MATH 108-01 PreCalulus

Summer II 2007

 

 

INSTRUCTOR                                     : Osman Guzide

OFFICE LOCATION                          : Stutzman and Slonaker Hall #211-A

OFFICE HOURS                                  : Monday, Tuesday, Wednesday and Thursday 01:00 pm - 02:00 pm or by appointment

PHONE                                                  : (304) 876-5304

E-MAIL                                                  : oguzide@shepherd.edu

 

 

COURSE DESCRIPTION:

 

Topics in algebra which will prepare students for the study of calculus, including complex numbers, graphs of nonlinear functions and relations, conic sections, graphical and algebraic solutions of nonlinear equations, solutions of exponential and logarithmic equations, introduction to analytic geometry, sequences, series, summations, and mathematical induction. Prerequisite: MATH 105 or satisfactory placement score.

 

COURSE OBJECTIVES:

 

Students will be expected to demonstrate an understanding of precalculus beyond the manipulation of symbols, apply  precalculus  to  practical  problems  and  use  current technology  throughout  the  course. They will demonstrate their understanding of precalculus using three approaches -- geometric, numerical, and algebraic.

 

Course will covers at least the following chapters.

Ch. 1 (1.1 - 1.11) Fundamentals: Real Numbers, Exponents and Radicals; Algebraic Expressions; Rational Expressions; Equations; Modeling with Equations; Inequalities; Coordinate Geometry; Lines; Modeling Variation. 

Ch. 2 (2.1 - 2.8) Functions: Function; Graphs of Functions; Increasing and Decreasing Functions; Transformation of Functions; Modeling with Functions; Combining Functions; One-to-one and Their Inverse 

Ch. 3 (3.1 -  3.6 ) Polynomial and Rational Functions: Their  graphs;  Dividing  Polynomials;  Real  Zeros; Complex Numbers; Complex zeros; Fundamental Theorem of Algebra

Ch. 4 (4.1 - 4.5) Exponential and Logarithmic Functions; Exponential Functions; Logarithmic Functions; Laws of Logarithms; Exponential and Logarithmic Equations; Modeling with Exponential and Logarithmic Functions

Ch. 10 (10.1 - 10.4) Analytic Geometry: Parabolas; Ellipses; Hyperbolas; Shifted Conics

Ch. 11 (11.1, 11.2, 11.3,11.5, and 11.6) Sequences and Series: Binomial theorem; Sequences; Mathematical Induction  

 

 

 

TEXTBOOKS:     Stewart, Redline, Watson; Precalculus, 5th edition Brooks/Cole, 2006

 

                                                               

 

GRADING:            Tests/Quizzes (up to four tests)                        70%

                                Final Exam                                                             15%

                                Homework                                                            15%  

 

 

 

 

 

A= 100- 90             B= 89-80                 C= 79-70                 D= 69-60                F= below 60

 

LATE WORK:      There will be a some reduction in grade per day for all assignments turned in after the due date unless a verifiable reason (see make-ups below) is provided for missing the due date or a new time has been approved in advance!!!

 

MAKE-UPS:          There will be no make-up of tests unless previously arranged with the instructor or an acceptable and verifiable reason for the absence. In general, acceptable reasons include:

1) an absence that is the result of an order from an attending physician or University health nurse, that directs the student not to attend class for health reason,

2) a death in the student’s immediate family,

3) participation in an official University activity,

4) or an absence that the instructor considers an acceptable reason for missing class. See ‘Attendance policy’ in the University catalog.

 

ATTENDANCE: In accordance with the course catalog.

 

 

THE INSTRUCTOR RESERVES THE RIGHT TO IMPROVE ANY PORTION OF THIS SYLLABUS AT ANY TIME.