Math 142B
Advanced Calculus
Winter 2002
Math 142 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
differentiation and integration, including manipulation of power series.
- The textbook for the course is
Introduction to Analysis (Prentice Hall, 1999) by A. Mattuck.
(I plan to cover topics found in Chapters 14-22
of the text.)
- Lectures will be on Monday,
Wednesday, and Friday, from 1:25 PM to 2:15 PM, in Warren Lecture Hall 2115.
- Your discussion sections with the TA (Weining Kang)
meet on Thursdays in
Warren Lecture Hall 2209, from 9:05 to 9:55 AM.
- 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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January 2, 2002 