• MATH03-125-02 Calculus Techniques and Applications
• Textbook: Calculus For The Managerial, Life, and Social Sciences, 7th edition, S.J. Tan, Thomson Learning Brooks Cole 2008.
• Professor: Stephen Downey, Telephone: 609-313-0147
• E-mail: downey@rowan.edu
• Office Hours: Mondays 5:30 pm – 6:20 pm in Math Department Lounge or Math Department Meeting Room. If the classroom we have class in is available for an hour before class, it would be even better to have the office hours right there. We’ll have to investigate this once the course starts, but I will keep you posted.
• Please note that this course has no “pass/no credit” option.

?: If you are having difficulty with course material, come to the Office hours for extra help! We can’t spend an inordinate amount of time in class going over homework…that’s the nature of meeting only once per week.

Introduction: This course introduces students to the techniques of differential and integral calculus. Emphasis is placed on practical applications of limits, derivatives and integrals with business applications highlighted. This course also provides experience with and information about the significance and specific uses of the calculus in today’s world. A graphics calculator is required (at least a TI-83 graphics calculator). Students are expected to have completed an equivalent of the course entitled College Algebra.

We will cover the following chapters from the textbook:

NOTE: The textbook, the chapters and sections covered are dictated and distributed by the mathematics department to professors teaching this course. I am your guide to help you to learn this material, but have no influence or control over the content, and consequently, the speed (pace) in which the course must be taught in order to finish the course.

CHAPTER 1 Preliminaries (cover as a very quick review)
1.1 Precalculus Review I
1.2 Precalculus Review II
1.3 The Cartesian Coordinate System
1.4 Straight Lines

CHAPTER 2 Functions, Limits and Derivatives
2.1 Functions and Graphs
2.2 The Algebra of Functions
2.3 Functions and Mathematical Models
2.4 Limits
2.5 One-Sided Limits and Continuity
2.6 Derivative

CHAPTER 3 - Differentiation
3.1 Basic Rules of Differentiation
3.2 The Product and Quotient Rules
3.3 The Chain Rule
3.4 Marginal Functions in Economics
3.5 Higher-order Derivatives

CHAPTER 4 Applications of the Derivative
4.1 Applications of the First Derivative
4.2 Applications of the Second Derivative
4.3 Curve Sketching
4.4 Optimization I
4.5 Optimization II

CHAPTER 5 Exponential Functions
5.1 Exponential Functions
5.2 Logarithmic Functions
5.3 Compound Interest
5.4 Differential of Exponential Functions
5.5 Differentiation of Logarithmic Functions

CHAPTER 6 Integration
6.1 Antiderivatives and the Rules of Integration
6.2 Integration by Substitution
6.3 Area and the Definite Integral
6.4 The Fundamental Theorem of Calculus
6.5 Evaluating Definite Integrals
6.6 Area Between Two Curves
6.7 Applications of the Definite Integral to Business and Economics

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 anti-derivative 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 Activities:
The classroom activities will include formal and informal lectures where new material and assigned problems will be explained. Students will have the opportunity to contribute to the discussion and to ask questions about the material.

Student Evaluation:
I. Attendance
Students are expected to attend 100% of the class meetings. I understand that emergencies occur and you may not be able to attend all class meetings. Should this be the case, I want you to notify me before class if at all possible and be able to provide a written explanation as to the details of your absence upon request. My intention is to be fair but not be taken advantage of. Attendance will be taken at the beginning of class. Also, announcements, returning of graded papers, tests, etc. will take place at the beginning of class. Students who are late are responsible to find out what they missed and must inform the professor if they wish to be counted as having attended class (Make sure that I know you have entered the room…I won’t disrupt class flow to mark you as present). Absent students may email the professor to receive what textbook problems were assigned and what announcement were made, but it is not the professor’s responsibility to provide absent students with copies of the notes – notes are always the student’s responsibility.

II. Assignments
Each student should complete all assignment problems since ALL test questions will be based on the assignment problems (whether they are gone over in class or not) and lecture examples/notes. Therefore, doing the assignment problems and reviewing the notes IS preparation for the tests. We will not be able to designate a class purely for review for the upcoming test…that is one of the unfortunate things about only meeting once per week.

III. Tests/Exam:
There will be 3 written tests given in class during the semester and a final exam (also given in class).
Test 1 Chapter 2-3
Test 2 Chapters 4-5
Test 3 Chapters 6
Final Exam - Chapters 3-6
?: Chapter 1 is a review of prerequisite material and won’t be on any tests.

Each test will directly reflect the concepts presented in written assignments and classroom discussions/lectures/notes. The sum of the test grades will be divided by the number of tests given to obtain the TEST AVERAGE.

The Final Exam will include problems similar to those presented in Tests 1, 2, and 3. At least one class will be dedicated to reviewing for the exam.

?: In addition to the 3 written tests given in class, students will have the option to complete the take-home test upon leaving class for the evening. If the grade is higher on the take-home test than on the in-class test, I will count both scores. If the grade on the take-home test is lower than the in-class test, I won’t count the take-home test. In other words, consider the take-home test as a way to protect your grade. One condition though: the take-home test must be turned in on the next class meeting following the in-class test. A student can’t wait a week to see the grade on the in-class test, then decide to do the take-home test. Bottom line: Leave class with the take-home test and actually do it! It can only help you out, but there is a due-date for the take-home test.

IV. Grading:
Grades are assigned according to the semester's performance as outlined below. Grades are NOT NEGOTIABLE and there is NO EXTRA CREDIT.

TEST AVERAGE (including take-home tests) 60%
Final Exam 40%

100%

A 93 to 100 (4.0) C- 70 to 72 (1.7) IN Incomplete
A- 90 to 92 (3.7) D+ 67 to 69 (1.3) (Under documented emergencies)
B+ 87 to 89 (3.3) D 63 to 66 (1.0) (Student MUST notify Downey)
B 83 to 86 (3.0) D- 60 to 62 (0.7) (MUST be completed within 1 sem.)
B 80 to 82 (2.7) F Below 60 (0.0)
C+ 77 to 79 (2.3) W Withdrawal (See the Registrar)
C 73 to 76 (2.0)

Your Grade Calculation:

Test 1 _____ Chapter 2-3

Test 2 _____ Chapter 4-5

Test 3 _____ Chapter 6

Total _______ / 3 + successful take-home tests = ________ X .60 = _____________
test avg. test points

Final Exam _____ X .40 = ____________
exam points

Course Total test points + exam points = ____________

? Testing Absences:
If you are absent the day of a regularly scheduled test, a grade of zero is automatically recorded as your test score. You will be permitted to make up this zero only when you can confirm that you were absent for reasons beyond your control. In such cases, you must telephone 609 –313 -0147 (or send me an e-mail downey@rowan.edu) and leave a message including your name and telephone number, the reason for your absence and the date you anticipate returning. I will set up an opportunity for you to take the test at a mutually agreeable time, provided that the reason for your absence is acceptable. Students who fail to leave the above information will be assigned the grade of zero for that test.

Please note that the student is responsible for all notes/assignments/announcements made in class. If the student is absent for any reason, the student is expected to be aware of any assignments and/or announcements (such as an upcoming test), and to keep up with class work. A student should not expect to be exempt from an upcoming test because they were absent the last time the class met. The student who was absent should contact me as soon as possible by email (preferably) or phone and find out what is missed.

Academic Honesty: Cheating on a test or assignment seriously undermines the integrity of the academic system and will not be tolerated. If I determine that a student has cheated, I will assign the grade of F for this course and send a letter to this effect to his advisor. Although a student is not cheating, he or she is expected to refrain from actions that could be suspicious. Using common sense on your part should avoid unnecessary embarrassment.

Classroom rules:
• Students will abide by Rowan's student code of conduct and policy on academic honesty. Improper behavior will not be tolerated.
• Please use the restrooms before class begins.
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Students with Disabilities and Special Needs: Please speak with me as early in the semester as possible so that we can make appropriate accommodations for you. If necessary, you can also contact the Office of Special Services.
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Questions in Class: The best time to ask questions is during class. Many times students fear that their questions will seem foolish, while in fact, many others also have the same question. I urge you to ask your questions during class. If you have questions that were not answered in class, you may stop by my office during the following office hours.

Bottom Line: By the time we are accepted into a university to begin study for a career, no one should have to tell us the incredible opportunity we have or how diligently we should pursue our goals. Keeping site of this and acting accordingly should be every student’s syllabus for any course. Enough said.