Florida A&M University

Tallahassee, FL

COURSE SYLLABUS

Course Number Course Credits Title Clock Hours per Week

2233 MAC 3 Business Calculus Lecture 3

Laboratory 0

Department: Mathematics College: Arts & Sciences Prerequisites: MAC 1105

Required Textbook: Calculus for Business by Barnett, Ziegler, and Byleen with web access to www.MyMathLab.com

Faculty Name: Dr. Amal Aafif Term and Year:

Office Location: Jackson Davis 308 Campus Telephone: 412-5234

Office Hours: Monday Tuesday Wednesday Thursday Friday

2-3:15 2-3:15

or By Appointment (email: )

Lecture notes and homework assignments will be posted on the website. These notes are my personal notes and may not contain all details or examples. You may use them as a guide but they will NOT replace attendance.

Chapter 2 / Additional Elementary Functions
Chapter 3 / The Derivative
Chapter 4 / Additional Derivative Topics
Chapter 5 / Graphing and Optimization
Chapter 6 / Integration
Chapter 7 / Additional Integration Topics

1.  Become competent in differential calculus.

2.  Develop problem solving techniques and be able to formulate verbal descriptions as mathematical problems.

3.  Develop ability to write well-organized, coherent, multi-step solutions to problems.

4.  Know basic differentiation formulas and rules and be adept at computing derivatives of elementary functions.

5.  Understand the concept of the definite integral, especially as representing area under the curve and be able to approximate a definite integral by Riemann sums and know the Fundamental Theorem of Calculus.

The use of cell phones will not be allowed during tests or the final exam. You may use a calculator for all tests.

To successfully complete Business Calculus, the student will be required to meet the following objectives with at least 70% proficiency. At the end of the course the student will be able to:

1.  state and use the mathematical definition of the derivative to find derivatives of polynomials, radicals, and rational functions;

2.  differentiate functions using the Chain Rule, the Product Rule, the Quotient Rule, the Power Rule, implicit differentiation, and logarithmic differentiation on polynomials, radicals, rational functions, exponential functions, and logarithmic functions;

3.  evaluate limits approaching a number from the left, right, and both sides of polynomials, radicals, rational functions, exponential functions, and logarithmic functions;

4.  state and use the definition of continuity;

5.  determine the continuity of polynomials, radicals, rational functions, logarithmic functions, and exponential functions

6.  determine critical values, monotonicity, and concavity of polynomials, radicals, rational functions, exponential functions, and logarithmic functions;

7.  determine the absolute local extrema of polynomials, rational functions, exponential functions, and logarithmic functions;

8.  determine the local extrema of polynomials, rational functions, exponential functions, and logarithmic functions;

9.  solve optimization word problems;

10. solve related rates;

11. evaluate definite and indefinite integrals using standard integration functions. u-substitution, and the Fundamental Theorem of Calculus;

12. state the mathematical definition of the definite integral;

13. determine the area between the curve; and

14. use integration to solve problems in business and economics;

Cell phones cannot be used during class, so please turn OFF your cell phone when you enter the classroom.

Your course grade will be:

Three Tests 45%

Homework 15%

In-Class Assignments 20%

Final Exam 20%

The grading scale is as follows:

A à at least 90% ;

B à at least 80% but less than 89%;

C à at least 70% but less than 79% ;

D à at least 60% but less than 69%;

F à fewer than 60%

·  There are no make-up tests or projects quizzes.

·  A student may use the final exam to replace any missed test due to an excused absence. All official excuses (from your Dean’s Office) must be submitted by the fifth day of your return to use the final exam to replace the excused missed test. No accommodations will be made for students that (1) do not have an official excuse from their Dean’s Office, (2) do not present the official excuse within five (5) days of the student’s return to class, or (3) if the student has had excessive unexcused absences and/or tardiness during the weeks leading to the chapter test.

·  In-Class assignments are due in class on the day they are given. A student making up a missed in-class assignment with an excused OR unexcused absence can only receive half credit.

·  Students have the responsibility to do the homework by the due dates. Homework will always be collected on test day.

The key differences between learning at a university and your high school are: 1) learning does not take place primarily in the classroom, and 2) you, and not your professor, are responsible from now on for your own education. Talent alone cannot produce success. The goal in college is to learn flexibly so that you can judge what applies in new situations and carry it out. Thus most students face a new challenge in their college mathematics courses. Flexible learning is especially important because many other departments require mathematics courses and want their majors to be ready to use the material. For that, the student must start to think conceptually. The instructor’s role is to guide the students’ learning. One of the most important things an instructor can do for the student is to insist they learn mathematics in part from written sources so they can get beyond the surface. It is not to teach everything to the student: teaching in college becomes a cooperative effort shared by the instructor and the students. There is a corresponding change in what is expected from the student. In a typical high school, the attentive student is able to pass with modest exertion. In college, the vast majority of students can learn well with reasonable exertion: three hours per week outside of class for each hour in class is not an unreasonable effort. This includes reading the textbook for both concept and additional examples. The course will be moving a lot faster than in high school with far less repetition. The tests will cover several weeks of material, even the whole semester on the final examination. The student should view the learning of mathematics as accumulating a body of knowledge, not just learning isolated facts and problem types.

On-time class attendance is compulsory for all students. Students are responsible for all assignments, quizzes and examinations at the time they are due and may not use their absence from class as a plea for extensions of time to complete assignments or for permission to take make-up examinations or quizzes. More than three unexcused absences may result in failing the course. Dean’s Excuses for absences must be presented to your instructor no later than five days after returning to class or the excuse may not be accepted by your instructor.

(See page 34 of the current FAMU General Catalog for details.)

The departmental final examination will be given according to the schedule on the University calendar. If possible, it will be scheduled on Monday of final exam week.

The Expected Learning Outcomes for

MAC 2233 Business Calculus are:

COMMUNICATION

The student will demonstrate competence in writing, reading and speaking about mathematics.

CRITICAL THINKING

The student will be expected to demonstrate critical thinking skills measured by the ability to apply mathematical methods to the solution of real-world as well as theoretical problems.

TECHNOLOGY LITERACY

The student will be expected to demonstrate proficiency in the use of technology measured by the ability to input data and interpret numerical results. The student will be expected to use the MyMathLab online system to turn in homework and quizzes along with completing group projects using a Computer Algebra System (CAS). Computer facilities are available in the (1) Math Lab, Jackson Davis 105 and the Media Center in the Coleman Library.

Mathematics Departmental Policies

The Mathematics Department makes every effort to place students in the correct course. It is expected that every student will pass this course the first time that he/she enrolls in this course. The Mathematics Department will not make any special effort to re-enroll any student for a second or subsequent time in this course.

“I” Grade

The “I” grade is given at the instructor’s discretion and then only to students whom are PASSING* and who are prevented from completing the course by UNAVOIDABLE circumstances not of their own doing. Students who have missed more than one test are NOT eligible for an “I” grade.

* PASSING means: Getting at least a C on each test, online work and class quizzes. It should also be accompanied with almost a perfect attendance.

Check your printout for

course & sections number

If you are not attending the section for which you are officially enrolled, the instructor of the section for which you are officially enrolled will assign you an “F” grade on the final grade roll and that will be your FINAL GRADE.