MATH
1425 Business Calculus and Applications I
INSTRUCTOR: Clarence A.
McGuff,
Professor of Mathematics
Office: NRG 2150 (inside 2149)
Phone: 512-223-4786 or home: 512-255-2613 (not after 9:00 PM please)
e-mail: camcguff@austincc.edu
web page: www.austincc.edu/camcguff
Office Hours: See opening web page for current office hours
MATH 1425 BUSINESS CALCULUS AND APPLICATIONS I (4-4-0)
is a course treating standard one-variable calculus and its applications for
business students, as well as selected other business applications, and an introduction to
multivariable calculus. Calculus topics include the derivative, methods of finding derivatives,
applications of derivatives, the integral, methods of integration, applications of integration,
and the calculus of the exponential and logarithmic functions. Multivariable calculus topics
include partial derivatives and finding local extrema.
Prerequisites: One semester of high school elementary analysis or the equivalent with a grade
of B or better or MATH 1324 or 1314 or the equivalent
· Evaluate
limits of
functions from their graphs and/or equations.
· Analyze and apply the notions of continuity and differentiability to algebraic functions.
· Determine derivatives for functions involving powers, exponentials, logarithms and combinations of these functions and solve business and economic applications using these derivatives.
· Use derivatives to construct graphs of selected functions.
· Use basic integration techniques to solve simple differential equations.
· Demonstrate the connection between area and the definite integral.
· Integrate selected functions and solve business and economic applications using these results.
· Apply the Fundamental Theorem of Calculus to evaluate definite integrals.
· Apply the concepts of limits, derivatives
and integrals to solve problems involving functions unique to business
applications and interpret these concepts graphically..
These can also be found at:
http://www2.austin.cc.tx.us/mthdept2/tfcourses/obj1425.htm
Text:
Applied Calculus
with Linear Programming a
Special Edition by Barnett & Ziegler, Pearson Custom
Publishing.
ISBN 0-536-97277-X
This
book is also used for Business Calculus II.
Optional: Student Solutions Manual, ISBN 0-536-974055 solutions to selected odd problems.
Calculator:
Students need either a scientific or business calculator. If you cannot
purchase one, they are available from the library.
Graphing calculators are encouraged, but their use may be
restricted on the graphing test. Most
ACC faculty are familiar with the TI family of graphing
calculators. Hence, TI calculators are highly recommended for
student
use. Other calculator brands can also be used. Your
instructor
will determine the extent of calculator use in your class section
INSTRUCTIONAL METHODOLOGY
This course is taught in the classroom primarily as a lecture/discussion course. This class may also have a small computer lab component.
COURSE RATIONALE
This
course is a standard calculus course for business students. At ACC
it is part of a two-course business calculus sequence. Business
Calculus I
covers one-variable calculus and some multivariable calculus. The
course
stresses applications in business and economics, and is intended to
give
business students the appropriate conceptual and computational
mathematical
background for future study in business.
EVALUATION/GRADING SCHEME
Grades in this course will be based on the following numeric averages:
Below
60% “F” , 60% up to 70%
“D” ,
70% up to 80% “C” ,
80% up to 90% “B”, above 90% “A”
There will be 4 or 5 tests, each worth 100 points. Up to 14 weekly quizzes (see below) the grades from which will be combined with the HW score for another 100 points. This means that the grade in this class will be based on 500 or 600 points. I do give a cumulative final in this class. Tests will be given in class or the testing center at the instructor’s discretion. A test taken after the announced deadline is late (see below).
Homework will be collected weekly and will count as up to 20% of the quiz/HW points. Homework for a given test is to be completed before the test date and will be accepted up untill that date: however, a grade penalty can result if most of the assigned work is not done in the week assigned.
Weekly Quizzes: On the first day of weeks 2 – 15 there will normally be a quiz. It will not normally be problem solving but will, in most cases, ask for your explanation (usually a quotation of the definition or theorem will not suffice) of a basic theory concept. On a few quizzes I may ask you to copy a couple of the homework problems I assigned from your work. Since I will only count the top 70% to 80% of the quizzes no makeup will be given for a missed quiz.
Corrections: For each test taken on time, except for the last test of the semester, corrections may be done for up to 5 bonus points. Corrections must be completed before the next test or they will not be accepted.
Late tests: A
test taken late will have the grade reduced by 10%. No test, late or
otherwise,
may be taken after the original test is returned to the class. After that the test has been missed, see
below.
Retake/makeup: Retake/makeup: I no longer give a retake/makeup on each test. You will still be allowed to makeup or replace one grade (of test 1, 2, or 3) only by taking a special comprehensive tests that will be given. The maximum score on this makeup will be in the mid 80’s. The time and place will be announced after test 3 and before the last week of school. If you miss one test then you must use this test as a makeup otherwise you may use this tests to replace one test grade from material covered by that test. If you miss two tests you will receive a non-removable zero on the second test.
Lab requirements, if a lab is used, will be handed out on the first lab day along with the lab problems.
Student participation in class and lab activities is expected. This includes but is not limited to questions and/or comments on the subject during lecture, problem solving and/or correction methods both in class and labs. Please, however, keep in class talk between two class members on subject and not disruptive of the rest of the class.
Grades will not be
discussed on the phone or via e-mail. The
only exception to this will be for the final grade. I
will send this grade via e-mail if certain requirements are
met. These requirements will be spelled
out for you on a form with a section for you to sign and hand in with
the final
exam.
Incomplete grades (I) will be given only in very rare circumstances. Generally, to receive a grade of "I", a student must have taken all examinations, be passing, and after the last date to withdraw, have a personal tragedy occur which prevents course completion.
Attendance/ Withdrawal Policy (withdrawal deadline see opening page)
Attendance is required
in this course. Students who miss more
than 4 classes may be withdrawn
It is the student's
responsibility to initiate all withdrawals in this
course. The instructor may withdraw
students for excessive absences (4) but makes no commitment to do this
for the
student. After the withdrawal date, neither the student nor the
instructor may
initiate a withdrawal. I will only
reinstate a student if I withdrew him in error and he is up to date
course wise
at the appropriate date.
MATH 1425
Course Syllabus
|
16 Week Semester |
11 Week Semester |
Week |
Sections |
Sections |
1 |
Intro 6.1, 1.1 |
6.1, 1.1, 1.2 |
2 |
1.2-1.3, 6.2 concept of
partial der. |
1.3, 6.2 concept, 1.4-1.5 |
3 |
1.4-1.6, 6.2 computations of
par.der. |
1.6, 6.2 comps, 1.7, Test |
4 |
1.7, Test |
2.1, 2.2 and 6.2, sec.
par.,2.3 |
5 |
2.1, 2.2, 2.3 and 6.2 sec.
order partials |
2.4, 2.5, 6.3, 2.6 |
6 |
2.4, 2.5 |
Test, Appendix , 3.1-3.3 |
7 |
6.3, 2.6 |
6.2 exp & ln, 3.4-3.6 |
8 |
Test, Appendix |
Test, 4.1-4.2 |
9 |
3.1- 3.3, and 6.2 exp and ln
problems |
4.2-4.4 |
10 |
3.4,3.5 |
4.5, 5.1 |
11 |
3.6, Test |
5.2, Review, Final Exam |
12 |
4.1, 4.2 |
|
13 |
4.3, 4.4
|
|
14 |
4.5, 5.1 |
|
15 |
Test, 5.2 |
|
16 |
Review & Comprehensive
Exam |
|
Please note:
schedule changes may occur during the semester. Any changes will
be announced in class.
.
TESTING CENTER POLICY
ACC Testing Center policies can be found at: http://www.austincc.edu/testctr/
When
a test is given in the testing center a deadline will be given and if a
test is
not taken by that deadline it will be considered as a missed test, see
grading
policy above.
STUDENT SERVICES
The web address for student services is: http://www3.austincc.edu/evpcss/rss/Default.htm.
The ACC student handbook can be found at: http://www3.austincc.edu/evpcss/handbk/toc.htm
The web address is: http://www3.austincc.edu/evpcss/memos/reference.htm
then click on “Campus Based Student Support Overview”.
Sometimes sections of MATH 0165(1-0-2) are offered. The lab is designed for students currently registered in Business Calculus and Applications II, Math 1476. It offers individualized and group setting to provide additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours. Students should check the course schedule for possible offerings of the lab class
ACC
main campuses have Learning Labs which offer free first-come
first-serve
tutoring in mathematics courses. The locations, contact information and
hours
of availability of the Learning Labs are posted at: http://www2.austincc.edu/rvslab/labhours.htm
Statement on Scholastic Dishonesty
"Acts
prohibited by
the college for which discipline may be administered include scholastic
dishonesty, including but not limited to, cheating on an exam or quiz,
plagiarizing, and unauthorized collaboration with another in preparing
outside
work. Academic work submitted by
students shall be the result of their thought, work, research or
self-expression. Academic work is
defined as, but not limited to, tests, quizzes, whether taken
electronically or
on paper; projects, either individual or group; classroom
presentations; and
homework.”
Students who
violate the
rules concerning scholastic dishonesty will be assessed an academic
penalty
which the instructor determines is in keeping with the seriousness of
the
offense. This academic penalty may range from a grade penalty on the
particular
assignment to an overall grade penalty in the course, including
possibly an F
in the course. ACC's policy can be found in the Student Handbook page
33 or on
the web at: http://www.austincc.edu/marketng/handbook/student_handbook_02-03.pdf.
Statement on Student Discipline
Classroom
behavior
should support and enhance learning. Behavior that disrupts the
learning
process will be dealt with appropriately, which may include having the
student
leave class for the rest of that day. In serious cases, disruptive
behavior may
lead to a student being withdrawn from the class. ACC's policy on
student
discipline can be found in the Student Handbook page 32 or on the web
at: http://www.austincc.edu/marketng/handbook/student_handbook_02-03.pdf.
Statement on Students with Disabilities
"Each ACC campus offers support services for students with documented physical or psychological disabilities. Students with disabilities must request reasonable accommodations through the Office of Students with Disabilities on the campus where they expect to take the majority of their classes. Students are encouraged to do this three weeks before the start of the semester.”
Students who are requesting accommodation must provide the instructor with a letter of accommodation from the Office of Students with Disabilities (OSD) at the beginning of the semester. Accommodations can only be made after the instructor receives the letter of accommodation from OSD.
Statement on Academic Freedom
"Institutions
of
higher education are conducted for the common good.
The common good depends upon a search for truth and upon free
expression. In this course the professor
and students shall strive to protect free inquiry and the open exchange
of
facts, ideas, and opinions. Students
are free to take exception to views offered in this course and to
reserve
judgment about debatable issues. Grades will not be affected by
personal views. With this freedom comes
the responsibility
of civility and a respect for a diversity of ideas and opinions. This means that students must take turns
speaking, listen to others speak without interruption, and refrain from
name-calling or other personal attacks."