MA 113 and EGR 199 - Calculus I (Fall 2009)

In Calculus I, we will learn about derivatives, integrals and the fundamental theorems of calculus. We begin by introducing the notion of a limit. Limits are essential to defining derivatives and integrals. By the end of the semester students should know precise definitions of continuity, the derivative, and the integral and understand the fundamental theorem of calculus which relates the latter two. We will illustrate the methods and ideas of calculus by applying them to solve several physical and geometric problems.
We will cover most of Chapters 1 to 5 of Stewart. Please see the course calendar for a detailed listing of sections.
Exposure to the precision needed in Calculus will foster critical thinking and rational reasoning. In order to help you learn to formulate and communicate mathematical ideas, there will be six written assignments; for the schedule see the course calendar. Your solutions to these assignments are expected to be carefully drafted documents that are written up in complete sentences. You should lay out and explain all the arguments you used to arrive at your solution.

Class Schedule:

Time and Place of the Recitations:

Ma 193:

Textbook and Handouts:

• Textbook: Calculus (Early Transcendentals), 6th edition, by James Stewart, ISBN 978-0-495-01166-8 or 0-495-01166-5.
  The book Single Variable - Calculus (Early Transcendentals), 6th edition, by James Stewart may also be used.
• Common syllabus: (pdf-file)
• Calendar: (pdf-file)
• Some suggestions on how to study mathematics: (pdf-file)
• Common errors one should avoid: (pdf-file)
• Handout on Trig Functions: (pdf-file)
• Written homework assignments, see below
• Recitation worksheets, see here

Recitation Worksheets:

Homework and Quizzes:

• Homework on the web homework system (WHS) at https://www.mathclass.org. The due date for each of these homework assignments is given on the corresponding web page as well as in the course calendar. Notice that for each web-based homework problem you may resubmit your answer as often as you want before midnight of the due date!
• 6 written assignments to be turned in during lecture; for the due dates see the course calendar. The assignments will be made available on time. The solutions will be made available after the due date.

  Assignment 1: Inverse Functions	Solution
  Assignment 2: Limits	Solution
  Assignment 3: Tangents	Solution
  Assignment 4: Implicit Diff.	Solution
  Assignment 5: Sigma Notation	Solution
  Assignment 6: Curve Sketching/Optimization	Solution

B) Optional homework, not counting for the grade:

• Warm-up assignment A0; Review assignments AR, BR, CR, DR (all web-based)
• Optional homework assignments from the textbook as listed in the course calendar.

C) Quizzes:
Quizzes will be given on a regular base during recitations; for the schedule see the course calendar. The quizzes will not be graded and do not count toward the grade. They help you to see how you can cope with a test situation where you have to work on your own on a given problem with closed books and limited amount of time.

Solutions of Quiz Problems: (will be posted after quiz day)

Exams/Supplementary Review Sessions:

Bring your student identification card with you to the exams!

On the exams you may use calculators of the type TI 84 or less. No calculators with symbolic manipulations capabilities are allowed. Answers that are simply the output of calculator routines will generally not receive any credit on the exams. Think of the calculator you are using as an aid to thinking (at best)!!!

Old exams on Ma 113 can be found here.

Before each exam there will be a supplementary review session

Grading:

The 100 points for homework and attendance are computed based on the following components:

Your grade will be based on the number of points you earned according to the following scheme:

Study Advice and Getting Help:

This being said, form good study skills from the start! Come to class. Read the text prior to the lecture where it will be covered. Take notes and do the homework.. Find classmates to study with. Do not fall behind. It is very difficult to catch up in a math class after falling behind. Use old exams of MA 113 to take a practice test by yourself in an exam-like situation. Compare your solutions with those provided by the answer key. If you are having trouble, then seek help without delay.

If you are having trouble with a homework problem, you can send an e-mail through the online homework system to your teaching assistant. Try to provide as much information as possible in your help request. For example, you should at least describe how you attempted the problem and at least guess where you might be going wrong.

If you need more help than what can be provided by the online help, you should take one or more of the following steps.

• Talk to your instructors before or after class or send them an email, if necessary. Let them know what problems you are having, if any. They will be happy to help!
• Go to the office hours of your instructors.
• You can also seek help in the Mathskeller that is located in room CB 063 in the basement of the classroom building. Many instructors and teaching assistants from the Department of Mathematics will hold office hours in the Mathskeller. In addition, limited drop-in tutoring is available. You can seek help from any of the instructors or teaching assistants --- not just your own. The Mathskeller is open from 9 am to 5 pm Monday through Friday (except academic holidays) during the semester.
• Furthermore, you can seek help in The Study located on the 3rd floor of the Commons, South Campus. Academic Enhancement provides drop-in peer tutoring by experienced undergraduate students who have successfully navigated the courses for which they tutor. A regular schedule of all tutoring is available on The Study's website. You can also call 257-1356.

Policies:

• Attend lectures and recitations regularly. Be on time and remain until dismissed. Do not leave in the middle of class. Instructors have the right to take off attendance points for coming late or leaving early.
  If you cannot come to lecture or recitation and would like to request an excused absence let the instructor know about it next time in class (see also the section on attendance in the Common Syllabus).
• Classes are cell phone-free and laptop-free zones! Cell phones and laptops must be off and out of sight for the entire class period (see also the section on calculators and laptop computers in the Common Syllabus). Instructors have the right to take off attendance points for using cell phones or laptops during class. The same applies to reading newspapers or other activities unrelated to the course.
• In order to be fair to all students, dates for exams and homework assignments are firm. It is very important to take each exam on schedule. Missed work may be made up only due to illness with medical documentation or for other unusual (documented) circumstances (see also the section on late homework in the Common Syllabus for policies on late written assignments). If you have a university excused absence or a university-scheduled class conflict with uniform examinations please contact your lecturer as soon as possible, at least 10 days before the exam, so that an alternate exam can be arranged for you.
• Academic Honesty: Students are encouraged to work together to understand a problem and to develop a solution. However, the solution you submit for credit must be your own work. In particular, you should write your solutions to the written assignments independently. Copying on exams and usage of books, notes, or communication devices during examinations is not allowed. Cheating or plagiarism is a serious offense, and it will not be tolerated. Students are responsible for knowing the University policy on cheating.
• To earn top grade on exam problems and written assignments it is not enough to have the correct answer, but you must also show the correct reasoning.
• Classes do meet as usual on the days after an exam as well as on Monday and Tuesday of Thanksgiving week. Attendance rules apply as usual.