SYLLABUS
MAT
117 – ANALYTIC GEOMETRY AND CALCULUS
INSTRUCTOR:_________________________ OFFICE/HOURS:______________________
PHONE:_______________________________ E-MAIL: _____________________________
Lead Instructor: Chris Vellella Office: H1053
Phone: 1-800-481-2242, ext. 3262 E-mail: chrisv@shawnee.cc.il.us
Credit
Hours: Five (5) semester hours
Prerequisites: Mat 116 and Mat 118, MAT 115, or satisfactory
math background in high‑school and consent of Instructor.
Textbook
and Class Materials:
Calculus with Analytic Geometry,
8th edition, by Purcell and Varberg, Prentice‑Hall,
Inc., 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:
This course is an
introduction to analytic geometry, slope, straight line, the conic sections,
functions, limits, continuity, fundamental differentiation including
trigonometric differentiation, Intermediate Value Theorem and Mean Value
theorem. Applications of differentiation, analysis of equations and graphing,
indefinite and definite integrals, the Fundamental Theorem of calculus, and
applications of definite integrals.
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:
functions
and graphing
limits
differentiation
integration
3.
To promote the importance of
theory as well as applications.
4. To encourage constructive criticism and
independent research.
5. To help the student enlarge his/her
mathematical vocabulary.
6. To help the student develop a respect
for the importance of accuracy and logical reasoning in his/her work.
7. Students will become adept at using
graphing calculators.
Instructional
Modes:
1. lecture/discussion (primary mode)
2.
problem solving
3. the chalkboard will be used extensively
to enhance a better understanding of course content
4. more than one approach to a given topic
will be used whenever possible to aid student understanding and acceptance
5. a high degree of student involvement
and verbal interaction will be expected
6. 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:
Hour tests will be
given each term (each usually covering one chapter of material)
A comprehensive final
examination will be given at the end of each semester.
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:
Chapter
1 Review material
including the real number system, density,
logic,
inequalities, absolute value, equations and graphing,
slope,
lines, and circles.
Chapter
2 More review
including functions, algebraic and trigonometric,
limits,
and continuity.
Chapter
3 The derivative,
differentiation formulas, trigonometric
differentiation,
higher order derivatives, implicit differentiation,
related
rates, and differentials.
Chapter
4 Applications of
Differentiation, max./min., monotonicity,
concavity, asymptotes,
equation analysis, max./min. word
problems,
and the mean value theorem.
Chapter
5 Anti-differentiation
and the definite integral, Fundamental
theorem
of integral calculus, integration formulas and techniques.
Chapter
6 Applications of
definite integral which includes area, volume of
solids
of revolution, arc length, work, center of mass, and
centroids.
NOTE: The
above schedule and procedures in this course are subject to change in the event of extenuating circumstances.