## Math 142A

Advanced Calculus

### Winter 2007

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 notion of *cardinality* for sets.
- The textbook for the course is
*A Friendly Introduction to Analysis* (Second Edition, Pearson/Prentice Hall, 2004) by W.A.J. Kosmala.
(I plan to cover topics found in Chapters 2-5
of the text.)
- Lectures will be on Monday,
Wednesday, and Friday, from 2 PM to 2:50 PM, in Warren Lecture Hall 2205.
- Your discussion sections with the TA (A. Shakeel) meet on Tuesdays in
Warren Lecture Hall 2208 from 8 PM to 8:50 PM (A01)
and Center Hall 218 from 11 AM to 11:50 AM (A02).
- 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 the homework drop-box on the sixth floor of APM,
by 9AM Wednesdays.
- The +/- grading system will be
used for letter grades.

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January 12, 2007