MATH 1425 Business Calculus and Applications I

                                          See opening web page for course specific info

 

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

              

COURSE DESCRIPTION

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
 

COMMON COURSE OBJECTIVES: MATH 1425, Business Calculus I

·  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

 

REQUIRED TEXTS/MATERIALS

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 Grade Policy

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

 

INSTRUCTIONAL SERVICES

The web address is:  http://www3.austincc.edu/evpcss/memos/reference.htm

then click on “Campus Based Student Support Overview”.

Course-Specific Support Services

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."