Last revised 12/01/03

 

 

 

SYLLABUS

MAT 211 - ANALYTIC GEOMETRY AND CALCULUS II

 

 

 

Instructor:__________________________       Office/Hours:___________________________

Phone:_________________________________   E-Mail:______________________________

 

Lead Instructor:  Chris Vellella                    Office: H1053-Lower H Building     

Phone:  1-800-481-2242, ext. 3262                E-mail:  chrisv@shawnee.cc.il.us

 

 

 


Credit Hours: Five (5) semester hours      

Prerequisite:  MAT 117 (Analytic Geometry and Calculus I)

 

Textbook and Class  Materials:

Calculus and Analytic Geometry, 8th ed., Purcell and Varbeg, (Prentice‑Hall), Englewood Cliffs, New Jersey, 1992.

 

Additional Available Resources:

Student solutions manual with solutions to odd numbered exercises from the textbook. (available in the textbook center.)

Full set of lecture videos (VHS) is on reserve in the Learning Resource Center.

 

Specific Course Description:

Analytic geometry extended, transcendental functions, techniques of integration, numerical approximations, indeterminate forms and improper integrals, infinite sequences and series, and conics, translations and rotations, polar coordinate system, and introductions to both partial derivatives and multiple integrals are studied in this course. 

Graphing calculators may be used in this course, however, differentiation, integration and sophisticated graphing techniques in this course will not be allowed to be completed on a calculator or any other mathematical software for grading purposes.  Handwritten work must be shown as a representation of student competency in problem solving skills and analytical thinking.

 

Course Objectives:

            1.  To guide the student in his/her study of Calculus and Analytic Geometry.

            2.  To help the student develop a basic understanding of:

                        definite integrals and applications

            transcendental functions and related derivatives and                                           integrals techniques of integration

                        indeterminate forms and improper integrals

                        numerical methods and approximations

                        sequences and series

conics

                        translations and rotations

 

 

 

Instructional Modes:

1.         Lecture and problem solving will be the two focal points of the teaching procedure.

2.         The chalkboard will be used extensively to enhance a better understanding of course content.

3.         More than one approach to a given topic will be used whenever possible to aid student understanding and acceptance.

4.         A high degree of student involvement and verbal interaction will be expected.

5.         Attention will be given to individual differences in interests and ability and continuous effort will be made to optimize motivation.

 

Student Expectations:

            1.  Attend class regularly and be on time.

            2.  Read and prepare assignments prior to class. 

            3.  Turn in assignments on time.

            4.  Be prepared for exams over assigned material.  Take tests at regularly scheduled times                          unless extenuating circumstances interfere.  Quizzes may be announced or                                     unannounced.

 

Student Evaluation:

1.         Hour tests will be given each term (covering one chapter of material whenever feasible).

2.         A comprehensive final examination will be given at the end of each term.

3.         The final will count 200 points; each hour test will count 100 points.

 

Office Hours: 

            Office hours will be posted on the bulletin board outside the instructor’s office.  Other times are possible by scheduling individual appointments at mutually convenient hours.  Students are encouraged to consult regularly with the instructor regarding class progress or other topics of concern.

 

Inclement Weather Policy:

            Become familiar with the inclement weather policy of Shawnee Community College.  It will be read in all classes and posted in the cafeteria or student lounge.

 

Academic Dishonesty or Plagiarism:

            Review the college policy regarding academic dishonesty in the Student Handbook.

 

College Policy:

            Administrative policy prohibits the following:  eating, drinking, or using tobacco in the classroom; bringing children or other unauthorized individuals to the classroom.

 

Attendance Policy:

Each student is expected to attend all class meetings.  The student is expected to be on time and ready to begin class with the proper materials at the beginning of each class period.

 

Topical Outline:

            Applications of definite integrals

            Transcendental functions

            Techniques of integration

            Indeterminate forms

            Improper integrals

            Numerical methods, approximations

            Sequences       

Infinite series

            Power series

            Taylor and Maclaurin series

            Conics

            Translations and rotations

            Polar coordinate system

Calculus in the polar coordinate system

Introduction to multi-variable functions, partial derivatives and multiple integrals

 

NOTE:            The above schedule and procedures in this course are subject to change in         the event of extenuating circumstances.