SYLLABUS
MAT 215 - APPLIED
CALCULUS FOR BUSINESS/SOCIAL SCIENCE
Lead Instructor: Richard Diefenbach Office: J1013
Phone: 618/634-3317 E-mail: Richardd@shawnee.cc.il.us
Credit
Hours: Four (4) semester
hours
Prerequisites:
College Algebra (C or better) or High School Calculus with consent of
instructor.
Textbook(s)
and Class Materials:
Calculus
for the Managerial, Life, and Social Sciences, T. Tan, 6th ed., Wadsworth, a division
of Thomson Learning, Inc.., Pacific Groove, CA, 2003.
A
graphing calculator (preferably TI-83 or newer) will be used extensively in
this course. There are a limited number
of calculators for loan on a first come basis.
Specific
Course Description:
This
course includes the application of basic concepts of calculus. It includes sets, functions (linear,
exponential, and logarithmic), applications of functions and graphs, limits,
differentiation (derivatives and application of differentiation), integration
(definite and indefinite integral, fundamental theorem of calculus,
applications of integration), and selected topics from analytic geometry. Graphing calculators will be used in this
course.
Course
Objectives:
1.
To guide the student in his study of calculus and analytic geometry.
2.
To provide for student development in the following areas
functions and graphing
limits
differentiation
integration
3. To emphasize the application of calculus to
the fields of business, economics, social and behavioral sciences, life and
physical sciences, and other fields of general interest.
4.
To encourage constructive criticism and independent research.
5.
To help the student enlarge their mathematical vocabulary.
6. To help the student develop a respect for the
importance of accuracy and
logical reasoning in their work.
7.
Students will become adept in using a graphing calculator.
Instructional Modes
1.
Lecture/discussion (primary mode)
2.
Problem solving approach stressed with the level of presentation
primarily intuitive.
3.
Homework assigned regularly.
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.
6.
More than one approach to a given topic will be used when appropriate.
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. Weekly
Quizzes, each worth about 30 points will be given.
2. A
midterm and final exam will be given. Each will be worth 150 points.
3.
Homework collections or notebooks may be utilized by the instructor as
he/she sees fit.
4. The
Graphing Calculator “Using Technology” assignments will count 10 points each.
***Specifics on the grading procedure
and/or a tentative course schedule, developed by the instructor, may
accompany this syllabus.
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. If a
student is unable to attend class, it is their responsibility to contact the
instructor for assignments and other information.
Topical
Outline:
Week 1. Introduction; Functions - their graphs and algebra
Week 2. Mathematical models; limits including
one-side limits and continuity
Week 3. The derivative and basic rules of differentiation
Week 4. The product, quotient, and chain rules
Week 5. Applications
of the derivative, higher-order derivatives implicit differentiation,
differentials
Week 6. Increasing/decreasing functions; relative maxima/minima
Week 7. Concavity, points of inflection, and curve sketching
Week 8. Optimization and Midterm
exam
Week 9. Exponential/Logarithmic functions; compound interest
Week 10. Differentiation of exponential/logarithmic function
Week 11. Antiderivatives and rules of
integration; integration by substitution
Week 12. Area, definite integral, and the fundamental theorem of
calculus
Week 13. Evaluating definite integrals; area between two curves
Week 14. Applications of definite integral; integration by parts
Week 15. Integration using tables and numerical integration
Week 16. Review
and FINAL EXAM
Note: The above schedule and procedures in this
course are subject to change in the event of extenuating circumstances.