Honors Calculus and Analytic Geometry I

MAC 2311, Fall 2007

 

Instructor:             Dr. Stephanie Fitchett

Office:                    HC 164 (it is kind of hidden down a hallway near the biology lab)

Phone:                    6-8613 or 799-8613 from off campus

Office Hours:        MW 1:30-4:30, and by appointment. 
                                I am usually around on Tuesdays and Thursdays, and you are welcome to drop by.

email:                      sfitchet@fau.edu

 

Text.  Calculus, Single Variable, 4th edition, Hughes-Hallett, Gleason, McCallum et al, published by Wiley, 2005.

 

Calculator.  The TI-83, TI-83Plus, TI-85, or TI-86 is recommended, with the TI-83Plus preferred.  The TI-89 and TI-92 (and similar symbolic calculators) are fine, but may not be allowed during the quizzes, tests, and final.

 

Overview.   Inspired by problems in astronomy, Isaac Newton and Wilhelm Gottfried Leibnitz developed the ideas of calculus roughly 300 years ago.  Since then, calculus has provided the foundation for advances in many other fields, even those which seem far removed from mathematics.  You will find applications in chemistry, physics, economics, biology, medicine, business, psychology, and of course mathematics.  Calculus is so important that it is often considered the gateway to many of the disciplines in which it is used.

 

The power of calculus lies in its power to reduce complicated problems to simple rules and procedures.  While these procedures can be (and often are) taught with little regard to the underlying mathematical concepts or their practical uses, our emphasis will be on understanding all of these:  concepts, procedures and uses.  We will engage in the full mathematics process, which includes searching for patterns, order and reason; creating models of real world situations to clarify and predict better what happens around us; understanding and explaining ideas clearly; and applying the mathematics we know to solve unfamiliar problems.  Participation in this variety of mathematical activities is challenging, and for many students, the experience will be vastly different from experiences in more traditional mathematics course.

 

So what is calculus?  Very briefly, calculus is the study of changing quantities.   It has two main themes:  differentiation, which studies rates of change and is the focus of this course; and integration, which we will mostly save until next semester.

 

Goals.  Some specific goals of the course are for you to:

  • think critically (always a goal in mathematics classes);
  • identify, transform and use elementary functions, especially in their common applications;
  • understand, compute and estimate derivatives algebraically, graphically, numerically, and verbally;
  • understand and estimate definite integrals algebraically, graphically, numerically and verbally; and become familiar with simple differential equations;
  • apply knowledge of mathematics to identify, formulate, and solve problems, particularly problems related to the environment;
  • work effectively in heterogeneous teams;
  • communicate effectively, especially by writing precisely about technical things;
  • use technological tools such as graphing calculators and equation editors in an appropriate manner; and
  • improve logical thinking and problem-solving skills.

 

Attendance.  There may be topics covered in class that are not in the text.  You are responsible for all material covered.   I don't take attendance, but there is a strong correlation between attendance and final grades.  Missing class more than once or twice during the semester is likely to affect your grade, either directly or indirectly.  Thus, attendance is strongly encouraged.  If you do miss class, you should get notes and/or handouts from your classmates and/or see me in office hours.   If you miss class for any reason other than a documented emergency, and you do not notify me in advance, you cannot make-up the work missed in that class (no make-up quizzes, for instance).  Coming to class late is disruptive and rude, so please be on time. 

 

Homework and Quizzes.  You should read the section to be covered before the lesson and do the homework exercises before the class day following the lesson.  Homework assignments should be written on loose-leaf paper, and be kept neatly arranged (ideally in a 3-ring notebook) as they provide excellent study guides for exams.  Answers for most odd numbered problems appear in the text.   Except during weeks in which a test is scheduled, we will have quizzes each Wednesday to help ensure that you stay on top of the material.  Your lowest quiz score will be dropped for the purposes of determining your quiz grade.  

 

The key to success in this course is doing the homework and asking questions when you have them!!!  We will discuss homework problems in class, but there will often not be enough time to discuss all of them. Please come to office hours or visit the math tutors if you have additional questions about the homework.

 

Tests.  We will have four in-class exams, and a comprehensive final exam.  Make-up exams are rarely given and are always more difficult than the scheduled exams. I will give make-up exams only if you are ill, if there is a documented emergency, or if you make arrangements with me at least one class period before; if you are ill, I expect a letter from a physician verifying this. Otherwise, if you miss am exam you will receive a 0.   If it helps your final grade, I will replace one midterm test score with your final exam percentage in determining your final grade.

 

Project Reports and Other Activities.  You will complete two or three written projects over the course of the semester.  Project work and the associated reports will generally be done in teams.  Reports will be graded not only for correct mathematical "answers,'' but also for the clarity of your write-up.  Reports should be typed and should follow the Guidelines distributed in class and available from the course website.  When a team's work is turned in, all partners who participated must sign the report.  Your signature is your pledge that you were a full participant in the work being submitted.   We will also have some worksheets and other activities that I may collect and grade.  Work is due at the beginning of class on the announced due date.  I will accept late work, for reduced credit, until I have graded an assignment or project.  After I have graded the pile, I will no longer accept late work and you will receive a 0.  I generally grade materials within a couple days of collecting them, and sometimes grade them the same day they are collected.  Expect to lose approximately 10% for each day an assignment is late.

 

Gateway Test. The Gateway test is not included in your final average,  however, failing to pass the gateway test will result in the lowering of your final grade by one full letter grade.  The Gateway test is on differentiation, and you may take it as many times as needed until you pass.  It must be completed by 5pm two weeks after it is first given in class (so 5pm, Friday, November 2nd will be the deadline).

 

Collaboration and the Honor Code.  I expect you to abide by the Honors College Academic Honor Code.  It is available at http://www.fau.edu/divdept/honcol/academics_honor_code.htm.  I assume that you're here to learn. If you talk to each other, you will learn from each other, perhaps more than you will learn from me.  I encourage you to form study groups.  Try the homework yourself, and then get together with a study group to go over questions, and to study for quizzes and tests.  You will learn a great deal from articulating your questions and explaining material to your peers.  Collaboration on homework and in class worksheets is encouraged, but you must be sure you understand and can complete problems on your own, as collaboration on tests, quizzes and the final exam is forbidden. 

 

Workload and Assistance.  You should expect to spend 10 to 12 hours each week, outside of class, on the course material.  This includes reading, homework, and studying for quizzes and exams.  Some weeks (those in which an exam is scheduled, for instance) may require slightly more of your time, other weeks may require slightly less, but on average, budget 10 to 12 hours each week.  Please ask questions and seek assistance as needed.  Free, walk-in tutoring will be available, probably starting in the second week of classes.  You may email me at any time, and I encourage you to make use of my office hours.

 

Students with Disabilities.  In compliance with the Americans with Disabilities Act, students who require special accommodations due to a disability to properly execute coursework must register with the Office for Students with Disabilities (OSD) and follow all procedures.  The OSD is a part of Diversity Student Services on the MacArthur Campus in Jupiter and is located in the Student Resource building in SR 117.  The phone number is 799-8585 (TTY 799-8565).

 

Grading. 

 

Percentage

Quizzes (lowest dropped)

10 %

Projects & Activities

15 %

Four midterms (lowest replaced by final, if beneficial)

50 %

Final Exam

25 %

 

               

Class web page.  The class web page will be available at:

http://www.fau.edu/~sfitchet/teaching/mac2311/index.htm