
SYLLABUS
MAT 211 - ANALYTIC GEOMETRY AND CALCULUS
II
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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.