Mathematics 2283: Sequences, Series and Foundations


Welcome to the Math 2283 homepage. This page is designed to give some basic information on Math 2283, Sequences, Series, and Foundations. This course is taught by Prof. Wayne Richter in Fall Semester, 1999. (The course is essentially the same as the former course Math 3262, which was taught under the quarter system.) For further questions, please consult the Department of Mathematics .

Fall 1999

You may also ask questions by e-mail at any time.

Math 2283 is intended as a gentle introduction to the type of mathematical reasoning that is used in more advanced mathematics courses. It is recommended that students have the equivalent of at least three semesters of calculus before taking this course. Topics covered include:

  1. Truth tables
  2. Universal and existential quantification
  3. Mathematical induction
  4. Completeness of the real numbers
  5. Sequences
  6. Series
  7. Taylor series
  8. Power series solutions of differential equations

The course is based on notes. These required notes are available in Williamson Bookstore .

The notes are meant to be read carefully ( including all of the footnotes ). Do not worry if parts of the notes are difficult to understand. Everyone else will also find some parts difficult. Working hard on the exercises is very important. You are strongly encouraged to attempt every exercise in the notes. Some of the exercises ( or very slight variations of them) are likely to appear on quizzes, midterms, or the final exam. so the more exercises you do, the better.

Lecture and recitation time may be used to cover both homework and new material. When material for a given section has been covered in class (lecture or recitation), you should have the exercises for that section done by the next class meeting (unless told otherwise). You should ask the instructor to go over in class (or during office hours if time is not available in class) those exercises that you find difficult.

Some of the material in the course is rather difficult. You may want a cup of coffee. For a cup of coffee, try: coffee

Grade information: The following percentages are approximate.

  • Homework and Quizzes 20%
  • Hour Exams 20% each
  • Final Exam 40%

  • Approximate class schedule and homework list
  • Some old tests. (These are postscript files, so you need to know how to read and print them.)
  • Registrar's Web Site : Visit this site to find class schedules, course guides, information on final exams, on-line registration, and much more.
  • Links to Math Library On-Line.
    [ Math Home Page ]
    This page was originally created in September, 1996 by Doris Chiang.

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