Math 142A
Advanced Calculus
Fall 2001
This course may be thought of as a deeper look at the theory of functions of a
single real variable. Many of the topics will remind you of your Freshman/Sophomore calculus,
but many new ideas will be introduced. There will also be a greater
emphasis on proof and on gaining a better understanding of
the basic principles. You will be expected to do a certain amount
of mathematical writing, in your homework assignments and on your exam papers.
The main topics to be discussed this term revolve around issues of
convergence: limits, continuity, and differentiation of real functions.
As a "warm-up" we'll look at the completeness of the real number system.
- The textbook for the course is
Introduction to Analysis (Prentice Hall, 1999) by A. Mattuck.
(I plan to cover topics found in Chapters 1-15
of the text.)
- Lectures will be on Monday,
Wednesday, and Friday, from 1:25 PM to 2:15 PM, in University Center 413, Room 1.
- Your discussion sections with the TA (Weining Kang) meet on Tuesdays in
Warren Lecture Hall 2112, from 3:35 PM to 4:25 PM.
- Your course grade will be based
on your performance on the two midterm exams (fourth and eighth weeks) and the final exam.
These
exams will be weighted as follows:
- Midterm 1: 20%
- Midterm 2: 20%
- Final: 35%
- In addition there will be
weekly homework assignments which in total will account for the
remaining 25% of your grade. These assignment will be due in your
Tuesday discussion-section meetings.
- The +/- grading system will be
used for letter grades.
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October 1, 2001 