COURSE TITLE: Mathematics 153 – Calculus
for Business, Life and Social Sciences
CREDIT HOURS: 5 credit hours CONTACT
HOURS (including final exam): 77 hrs
PREREQUISITE: A grade of C or better in Math 115 or 150 or 175 or a
satisfactory score on the placement test.
COREQUISITES: None
INSTRUCTOR: Thomas Kelley
CONTACT
INFORMATION: Office: A-223 (Instructional
Telephone: (313) 845-6492 E-Mail: tkelley@hfcc.edu
Office
Hours: MWR 11:15 AM - 1 PM & 2:45 – 3:30 PM, Tues 11AM – Noon and
Fri 10 – 11:30 AM. Learning Lab: Tuesday 12:08 – 1 PM
CATALOG DESCRIPTION: This course is intended for students in
business, life and the social sciences, but not engineering, mathematics, or
physical science majors. This course is
an introduction to the study of differential and integral calculus of algebraic,
logarithmic, and exponential functions of one variable. Topics covered include graphical, numerical
and algebraic determination of derivatives and definite integrals, applications
of the derivative including minima and maxima, and integration and its
applications. Applications are included
throughout the course. Credit cannot be
earned for both Math 153 and Math 180.
COURSE GRADING SCALE: A
through E Scale
COURSE GOALS:
1. To introduce
and develop the essential concepts of calculus from graphical, numerical, and
algebraic points of view.
2. To develop
manipulative skills and approximation techniques for elementary differentiation
and integration.
3. To develop
a sense for the power of calculus as a problem-solving tool through a variety
of applications in
business and economics.
MAJOR CORE COURSE OBJECTIVES:
Upon successful completion of this course students
should be able to:
1.
Evaluate
derivatives and integrals using numerical, algebraic and graphical means, with
and without calculator support.
2.
Evaluate
derivatives of algebraic, logarithmic and exponential functions using (a) the
definition of derivative, and (b) the derivative rules.
3.
Identify that the
solution to a problem requires using a derivative, describe what the derivative
represents, and solve the problem.*
4.
Determine the key
characteristics of a function using the derivative and second derivative of the
function.*
5.
Evaluate
integrals using the rules for antiderivatives and the
Fundamental Theorem of Calculus.
6.
Identify that the
solution to a problem requires using an integral, describe what the integral
represents, and solve the problem.*
7.
Solve
business-related application problems such as maximizing profit, minimizing
average cost, customer/producer surplus, and analysis of income stream as well
as related applications from selected areas of the life and social sciences.*
* = fulfills
HFCC General Education Outcome for critical thinking and problem solving
ASSESSMENT OF ACADEMIC ACHIEVEMENT:
All
students will be required to complete a comprehensive final examination that
assesses the learning of all course objectives. This exam must be weighted in a
manner so that this exam score is worth a minimum of fifteen percent of the
final course grade. In selected semesters this exam may be a common exam
administered to all sections of Math 153.
All additional assessment of student achievement is left to instructor
discretion.
GENERAL COURSE REQUIREMENTS AND RECOMMENDATIONS:
A graphing
calculator is required of each student.
The Mathematics Division recommends and uses the TI-83 or TI-83/84 Plus Graphing Calculator.
TEXTBOOK: Calculus and Its
Applications, 9th Edition by Bittinger & Ellenbogen
(Addison-Wesley; ISBN: 0-321-39534-4)
Optional: Student’s Solution Manual (Addison-Wesley;
ISBN:0-321-45056-6)
Graphing Calculator Manual (Addison-Wesley;
ISBN:0-321-45582-7)
CORE COURSE TOPICS:
Chapter 1 Functions, Graphs, and Models (Secs.R.1-R.6)
Chapter
2 Differentiation Secs. 1.1-1.8)
Chapter 3 Applications of Differentiation (Secs. 2.1-2.7)
Chapter 4 Exponential and Logarithmic Functions (Secs. 3.1-3.6)
Chapter 5 Integration (Secs. 4.1-4.5; Optional: 4.5-4.6)
Chapter 6 Applications of Integration (Secs. 5.1-5.2; Optional: 5.4-5.5)
NOTE: The applications represent an essential part of
the course; therefore, sections of the text involving applications should be
given full coverage.
INSTRUCTIONAL POLICIES:
Assignments: Routine
homework problems will be assigned at each class to be turned in at the next
class. Worksheet homework will be
distributed and is due on an assigned date.
Homework will be graded and returned. Suggested exercises will be given
and the student is strongly encouraged to do them. They are not handed in, but
questions on them during class or office hours are welcome.
Attendance: Attendance
will be noted at each class session. If
you miss a class you are responsible
for finding out what you missed and
making arrangements for making up the work.
Office hours are for questions not answered in class; they are not make-up classes.
Grading
Procedures: At least three “in-class” exams will be given during
the semester with at least one week’s notice given before the date of the
exam. The grade on homework will count
as 1 “in-class” exam. The Final exam will
be given as scheduled by the college and counts from 25 – 33% of your course
grade.
Grading
Policy: Grades are based on the scale: 90 – 100 = A range. 80 – 89 = B range.
67 – 79 = C range. 55 – 66 = D range. Less than 55 = E.
Missed
Examination: If you must miss an exam for a very good reason, let me know as soon as possible. Arrangements may be made to take an exam
early, but do not expect to be able to make up an exam if you let me know after
the fact. It is the student’s responsibility
to contact me as soon as possible concerning a missed exam.
Drop Policy:
College Policy: Students may
officially drop a class and receive a DR grade anytime up until the end of the
day Thursday, November 6, 2008. If a
student stops attending without officially withdrawing, the instructor may
record either an E or a DR grade.
Instructor Policy: Students may
receive a DR grade if they make a request for the grade in writing to the
instructor before noon on Friday, December 5, 2008.
Academic
Dishonesty:
College Board of Trustees Policy #8500 (adopted 3/17/97):
A...It shall be the policy of the College that
determination of the fact of academic dishonesty by a student shall be a matter
of individual judgment by the instructor.
The instructor may administer a penalty up to, and including, failure in
the particular course...
Instructor Policy: Academic
dishonesty of any form will be grounds for immediate failure in the course and
the recording of a final grade of E in the course. To insure the integrity of test scores,
students are not allowed to leave the classroom during tests.
A registered student may only drop-down (move-up) to
another math class within the first three
weeks of the Fall and Winter semesters. In the Spring and/or
Summer semesters, students have only one
and one-half weeks to drop-down (move-up) to another class. In order to drop-down (move-up), a student
must:
Obtain the written permission of his/her current
instructor stating that the student was misplaced, see the Mathematics Division
Director for assistance in finding open sections, and obtain the written
permission of the instructor in the new lower (higher) course.
The student must then officially file an Add-Drop form
at the Registration office.