Course Calc T & A
Math 03 125-7
Instructor's Name: Professor Husam Sam Mazahreh
Robinson 211
Phone: 856-383-9512
Email: Mazahreh@rowan.edu
Office Hours: Wed 6:00-6:30 (Math Department)
or with previous arrangement
Course URL: http://www.rowan.edu
Prerequisites: Precalculus or department signature
Technology Required: TI-83/84 or similar
Tentative Class Schedule:6:30 – 9:00
Instructional Materials: Required Text: Calculus for managerial, life
and social sciences (7th edition) by S. J. Tan , Thompson Learning ISBN:
978-0-495-38430-4.
Course Description:
Two critical ingredients for successful problem-solving are practical
skills in mathematics and communication. The goal is to introduce business
and social sciences students to problem-solving and to practice solving
what business needs to be successful. Students will apply mathematical
techniques in real-world application using calculus concepts. Specific
activities may include problem-solving, readings, writings, designing,
guest speaker(s), field trip(s), and cooperative learning.
General Instructional Philosophy:
Research has shown that achievement levels are higher and retention greater
when learning takes place in a cooperative environment. This means that
discussing ideas with, and asking questions of your colleagues is of more
benefit than having me entertain you. In other words, you should be spending
your class time thinking about and designing and building solutions for
mathematical models of the problem rather than passively listening and
watching while the instructor solves the mathematical problem. Therefore,
we will aim to discover and verify mathematics and help you to construct
your own mathematical understanding. You will be assigned a cooperative
group of 3-4 students on the first days of class. This will be your support
group. You will work together on classroom tasks and projects. Your group
members will be responsible for getting handouts and information to you
should you miss a class. You may also be assigned to other groups during
the semester. We will discuss and design and solve problems the students
will bring to class from different applications or disciplines
Objectives:
This course serves general education, technology, business and economics
students in achieving the following objectives:
1. To develop the concepts of the limit, derivative and antiderivative
of a function, and also of the definite integral
2. To consider applications, and particularly business applications of
the derivative and definite integral
3. To provide information on the significance of calculus in today’s
world.
Course Outline/Contents:
1. Functions
1.1 Functional Notation
1.2 Straight Line and Slopes
1.3 Limits
2. Differentiation
2.1 Definition of the Derivative
2.2 Rules of Differentiation
2.3 Special methods of Differentiation
2.4 Derivative and Special Functions
2.5 Higher Derivatives
3. The interpretation of the derivative as a rate of change, applications
of time rates, related rates and percentage changes.
4. Applications Involving Maxima and Minima
5. Integration
5.1 Anti-differentiation
5.2 The Definite Integral
5.3 Area Under the Curve
5.4 Volumes
5.5 Applications Involving Integration
6. Additional Applications to Various Disciplines and fields of Study.
What is Calculus About in simple terms?:
Calculus is used to answer two basic questions - How fast? (rate of change)
and How much? (accumulation) and how these two measurements are related.
Calculus can be used to answer the following questions from:
Medicine: How fast is this drug entering the patient's bloodstream? How
much of the drug has the patient received?
Business: How fast is the product selling? How much of the product has
been sold?
Physics: How fast is the rocket going? How far has it traveled?
Others: Any problem from other disciplines Rowan University student would
come up with from other disciplines.
Calculus is a powerful and beautiful topic to study. Some have said that
calculus is among the deepest, richest, farthest -reaching, and most beautiful
intellectual achievements in our history!
The Birth of Calculus: Taste of History
Two men can rightly claim to have invented calculus, one of the most basic
and fundamental tools in modern mathematics-Isaac Newton and Godfrey Wilhelm
Leibniz. Newton actually discovered calculus first in 1655 or 1656. Leibniz
made his own independent discovery some ten years later in Germany. Neither
man, however, saw fit to publish what they found for some years after
that. The original writings recording the discoveries of these two men
are preserved, however, and they provide a fascinating glimpse into the
process of discovery and the birth of calculus. This course will discusses
the similarities and differences in the two men's findings published in
the late 1680s. It's hard to over-estimate the power of calculus as Newton
and Leibniz described it, and it can be argued that when they published
their findings, mathematics received the greatest increase in its power
since the time of the Greeks.
Course Policies
Academic Integrity: Academic integrity is striving to succeed in your
studies through honest methods. Honesty involves relying on ones own thought
process to complete assignments, projects and exams. Furthermore, honesty
involves realizing at times that difficulty is inherent in learning. Realization
leads one to make choices of whether to devote more time to an assignment
or to seek help. These choices can lead to great reward as barriers are
overcome and new insight is gained. In the entire learning process, integrity
must be maintained so that actual learning occurs, so that one can reap
the benefits of gained knowledge and an improve thinking process. Be honest
in everything you do. Do not present another's work as your own. Do not
be silent when someone else is dishonest. Learn.
Expectation of Instructor:
1. I will do my best to make the course meaningful for every student.
2. I will try hard to plan interesting and useful activities and assignments.
3. I will strive to provide valuable feedback to you on your work.
4. I will be fair in evaluating your work and give you as much opportunity
as possible to do your best work.
5. I promise to maintain a positive attitude at all times.
6. I will begin and end class on time.
7. I will have excellent attendance.
8. I will be available for individual consultations with students.
9. I will discuss your grade with you at any convenient time.
Expectation of Students:
1. I expect you to attend every class.
2. I expect you to be in class on time and not leave early.
3. I expect you to be prepared for every class by doing the homework assignments
and bringing the required materials.
4. I expect you to contact another student in class when you are absent
to find out your assignments.
5. I expect you to contact me if you have any problems with the course
as soon as the problems begin.
6. I expect you to participate in class activities.
7. I expect you to be courteous and respectful to me and to your classmates
and to not distract the educational environment in any way.
8. I expect you to maintain a positive attitude at all times.
9. I expect you to understand the course will be meaningful to you according
to your attitude and the effort you put forth.
Attendance:
Attendance will be taken. It has been proven that excellent attendance
and good grades have a high correlation. If you have more than three absences
you may be dropped from the class-unless special circumstances and the
department had knowledge-. You must take the responsibility of dropping
the course or risk receiving a grade of "F". If you are absent
on the day of a test, you must make arrangements to make up the test within
three calendar days of the test. A score of 0 will be given for any missed
test that has not been made up satisfactorily. You should call, email,
or otherwise communicate with me anytime you miss class. Exams MUST be
taken on the scheduled date unless prior arrangements have been made with
the instructor. Your score on the make-up exam will be multiplied by 80%.
Other
Disclaimer: Your instructor will make every attempt to follow the above
procedures and schedules, but they may be changed in the event of extenuating
circumstances.
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