NORTH CAROLINA CENTRAL UNIVERSITY
Department of Mathematics and Computer Science
MATH 2000/03, 04
Business Calculus
Syllabus
Spring 2012
1. Course Description: Students will be offered many opportunities to collect and interpret data, make
conjectures, construct and use math models. The idea is to encourage greater use of charts, tables, and
graphs to summarize, interpret, analyze, and solve problems. Topics include functions, limits, continuity,
techniques of differentiation, optimization, techniques of integration, method of least squares and other
types of regression, expected value, mean, variance, standard deviations, normal distributions, special
probability distributions, area between curves, and area under the standard normal curve; and applications
in business, economics, the life sciences, social and behavioral sciences.
2. General Information
Instructor :
Dr. Hayk Melikyan
Office
3255 M. Townes Science Complex
Phone
530 - 5111
Email :
melikyan@nccu.edu
Home Page
http://www.math.nccu.edu/~melikyan
Office hour: TR 2:15 – 3:30 (p.m.). I will be available in my office during these hours for
consultation on a first-come-first served basis. You do not need an appointment in advance. In
addition, many brief matters can be handled directly after class, and in special cases, we can
schedule appointments at other times.
3. Required
1.
2.
C or better on MATH 1100 ( prerequisite for the class)
Textbook: Collage Mathematics; by R. Barnett, M. Ziegler, K Byleen, 11th Edition
Prentice Hall
3.
Math XL access code (you can use your old MathXL account).
4.
A notebook for notes, and calculator required.
5.
Exams (online and in class)
6.
Homework (all are online)
7.
Comprehensive Final Exam
4. Web Assisted Learning:
 Each student in this section of Math 2000 must have access to a personal computer.
 Each student must have a current working email address (NCCU).
 Each student must obtain an access code and register to access MathXL.
 MathXL is located at www.mathxl.com
 Students who do not purchase a packaged textbook must purchase an access code separately.
You can purchase an access code from MthXL we site
 To complete registration for MathXL you must provide them with a username (use some
variation of your real name so I can recognize you) and a password. You need to write this
information down for yourself and save it just in case you forget.
 You need only register once. Once you have registered and have your username and password
you just go to the site and login.
 You should visit the website daily to retrieve your assignments, check announcements, view
PowerPoint presentations.
REGISTERING IN YOUR MATHXL COURSE
Welcome to MathXL!
Your instructor has set up a MathXL course for you. The course name is: MATH2000
 Before you begin, make sure you have the access code that comes with your MathXL Access Kit.
 If you don't have an access kit, you can buy the code online by clicking Buy New at
www.mathxl.com.
 To register, go to the www.mathxl.com for MathXL, click the Register button, and then follow
the instructions on the screen.
 Enter your student access code in the fields provided. A sample access code looks like this:
SMPLE-FRILL-TONLE-WEIRS-CHOIR-FLEES
 Provide a valid email account that you check often, not to miss any announcements
communicated via MathXL.
 Follow the on-screen instructions to complete the registration process.
 After registering, log in to MathXL with your username and password.
 To enroll in this course, enter the following Course ID: XL0T-9123-201Z-52T2
 Need more help? To view a complete set of instructions on registering, go to www.mathxl.com
COURSE PROCEEDURE
 Check announcements daily on MathXL and Blackboard
 Visit the MathXL website daily to retrieve your assignments.
 View lecture power points, videos (if available), and read appropriate section of your textbook
before doing homework
 All homework, will be given through MathXL.
 Do not hesitate to contact your instructor if any questions or problems arise
 Multimedia Learning Some tutorial and homework exercises link directly to multimedia
resources, such as videos and animations, that are associated with the exercises. For example, a
tutorial exercise June have a video clip of an instructor giving a portion of a lecture, or there June
be an animation that helps demonstrate a concept.
5. Homework/Quizzes/Tests: Homework in this course consists of all of the exercises assigned by
instructor for each section covered in this course. You are expected to do the homework necessary to
achieve mastery of the skills and concepts presented and assigned. Homework will be online on Mathxl
and will be graded. The final exam will be comprehensive.
6. Class Attendance and Classroom Behavior
Attendance is required and will be checked by the end of each class. Please consult the University Catalog
with respect to class attendance. Once the lecture has begun, all electronic devices (cell phones, pagers,
players, etc.) must be turned off. You are responsible for getting the notes and assignments that you
missed due to absences. If you drop an exam, there are NO MAKEUP for TESTS or QUIZZES. Most of
the materials will be available via my website( and Blackboard). If there is something you can't find on
my website, contact me via email right away so that I may assist you in finding what you need. 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 (see student Handbook).
1. Students Learning Outcomes:
 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.
 Model and solve business problems using derivatives of 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.
8. Evaluation:
Final Exam
Tests
Quizzes
Homework
Grading Scale:
25%
50%
10%
15%
A( 90 - 100), B(80 - 89), C(70 - 79), D( 60 - 69), F( below 60).
9. Expectations: You are expected to prepare for the in-class discussions/tests by reading the assigned
material from the textbook and working out the assigned problems. The first part of each class (maxim
10 minute ) will be a question period during which you can ask questions concerning the previous
assignment. The second part of each class will be lecture to make the next reading assignment easier to
understand. I would strongly recommend to reading the assigned sections from the textbook



Solve, as many problems as you can, and write dawn questions you could not work successfully.
Do not leave unsolved problems from the previous assignment incomplete.
These will take at least two hours per day. If you want to succeed you have to work hard.
10. Honesty: I expect that you will do the assignments by yourself. You should write solutions for all
homework assignments based on your own ability. You June discuss assignments with other students in
class but the final version you should write by yourself. Show all your work. Answers with no
explanations will receive no credit. State clearly any theorem you use in any proofs you provide.
12. To My Students: This course is potentially the most interesting and worthwhile undergraduate
mathematics course you will complete. In fact, most of you after graduation still will be using this text
occasionally as a reference in your careers at several major corporations and graduate school. The
following remarks offer some practical advice and information to help you master the material and enjoy
the course. In this course, the concepts are as important as the computations. The simple numerical
exercises that begin each exercise set only help you check your understanding of basic procedures. Later
in your career, computers will do the calculations, but you will have to choose the calculations, know how
to interpret the results, and then explain the results to other people. For this reason, many exercises in the
text ask you to explain or justify your calculations. A written explanation is often required as part of the
answer. For odd-numbered exercises, you will find either the desired explanation or at least a good hint.
You must avoid the temptation to look at such answers until you have tried to write out the solution
yourself. Otherwise, you are likely to think you understand something when in fact you do not. : Do not
wait until you have failed the first test before seeking help. If you get bogged down, visit during office
hour, or make an appointment to see me as soon as possible. If there is a situation where you just have to
be absent due to no fault of your own, then first get the notes from a my Website and get lectures.
Exchange phone numbers with 2 or 3 people in your class and arrange to get what you have missed prior
to returning to class. Make sure you have completed all the assigned quizzes on time. After the deadline
quizzes and homework will not be available
13. The Mathematics Learning Center
The Mathematics Learning Center is open to all math and computer science students. It is located on the
third floor of the Science Complex Room 3238. There are supplemental and supporting materials which
include modules and additional books. Students are encouraged to make regular use of the available
services provided by the math and computer science staff here at NCCU.
Student Support Services for Students with Disabilities:
Students with disabilities (physical, psychological, learning disability, etc.) who would like to request
accommodations need to register with the Office of Student Support Services in Suite G20 in the
Student Services Building or by contacting Kesha Lee, Director at (919) 530-6325 or klee@nccu.edu .
If you are already registered in the office, you will need to return to the office each semester to review
your information and receive updated accommodations.
14, Topics
This is a list of topics we will try to cover during the semester.
The numbering indicates corresponding chapter number from the textbook.
Sect
Week 1
Week 2
Topics
10. 1 Introduction to Limits.
10. 2 Continuity
10. 4 The derivative
10.5 Basic Differentiation Properties
Week 3
Week 4
Week 5
Week 6
Week 7
10.6 Differential
General Power Rule
Marginal Analysis in Business and
10. 7
Economics
11. 2
11. 3
11. 4
11. 5
11. 6
Review and Test#1
Exponential and Logarithmic Functions and
their Derivatives
Derivatives of Product and Quotients
The Chain Rule
Implicit Differentiation
Related Rate
Home
Work
HW1
HW2
HW3
HW4
HW5
HW6
HW7
HW8
HW9
HW10
HW11
HW12
Practice exercises
1, 5, 11, 13, 15, 17, 21, 39, 41, 45.
3, 5, 9, 13, 17, 25, 37, 41, 45.
1, 3, 5, 7, 9, 17, 21, 25, 27.
3, 5, 7, 11, 15, 23, 27, 35, 41, 49.
3,7,13, 23, 31, 33, 39, 51.
3, 9, 15, 23, 27, 35, 43, 53, 69
3, 9, 11, 13,17,19
1, 3, 5, 11, 13, 15, 23, 29, 33, 59.
3,7,13, 23,3, 33, 39, 51.
3,9,15,23,27,35,43,53,69
3, 5, 7, 13, 19, 21, 29, 33, 37.
3, 5, 9, 13, 15, 25, 27, 29.
11. 7 Elasticity of Demand
Review and Midterm (Test #2)
Week 8 12. 1 First Derivative and Graphs
12. 2 Second derivative and Graphs
Week 9 12. 4 Graphing Rational Functions
12. 4 Absolute Maxima and Minima
Week 10 12. 5 Optimization
Review (Test #3)
HW13 3, 5, 11, 17, 19, 23, 25, 31, 35.
HW14
HW15
HW16
HW17
HW18
Week 11 13.1 Antiderivatives and Indefinite Integrals
Week 12
Week 13
Week 14
Week 15
13.2
13. 4
13. 5
14. 1
14. 2
14. 3
Integration by substitution
The definite Integral
The fundamental theorem of Calculus.
Area between curves
Applications
Integration by parts
Review and Test #4
Review for final exam
1,3,5,7,13, 17,21, 27, 47, 51, 55, 85
1, 3, 5, 7, 11, 21, 25, 27, 59,63.
11, 17, 21, 31, 33, 53.
1, 5, 9, 13, 19, 25,29, 35, 45, 51,
3, 5, 11, 13, 19, 25
HW19 1-31 all odds, 39, 42, 49, 55, 59,
77, 81.
HW20 1-40 all odds, 51, 57, 61.
HW21 9, 11, 15, 17 – 40 all odds
HW22 1-40 all odds
HW23 3, 7, 11, 15, 17, 23, 35, 49.
HW24 1, 3, 5, 9, 13, 19, 25, 29.
Final Exam
This schedule is tentative. It is subject to change accordance to instructor’s discretion.
All changes will be notified in class.
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Please complete and email this to melikyan@nccu.edu no later than January 17, 2012)
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set forth by North Carolina Central University and completely understand contents of course syllabus and
requirements for MATH 2000.
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