FALL 1999-COURSE INFORMATION

TIME: 12:20-1:10 MWF: Ayres 102; Tuesdays 12:20-1:10: Ayres 127

INSTRUCTOR: Prof. Alex Freire , 974-4313, freire@math.utk.edu, office:

Ayres 304, office hours: MTW 11-12, or by appointment

TEXT: CALCULUS, by T.Apostol, v.1, 2nd. edition

COURSE OUTLINE

Goals and philosophy: The text- which will be followed closely- presents
the theorems of

differential and integral calculus in a rigorous deductive fashion.
Compared to the standard

calculus sequence, the honors sequence emphasizes a conceptual approach.

This does not mean an emphasis on proofs (although we {\em will}

see the proofs of all the main results), but on understanding what
the definitions and

theorems mean (geometrically) and on the logical development.

Chapters covered: we will spend a week or two on the introductory chapter
(axioms for the

real numbers, proofs by induction), then go on to chapters 1-7, 10,11.
Some sections

will be skipped.

CLASS POLICIES

1. ATTENDANCE IS MANDATORY -

Students who miss a class are responsible for finding out what was
covered.

2.HOMEWORK: Two lists of problems will be included with each section:
those marked

(E) will be done in class as examples; those marked (H) are homework
problems.

Due dates will be posted on this site-homework is due at the beginning
of class.

Please note: the number of problems due each week is relatively small,
but some of the

problems may

not be straightforward. For full credit, detailed and neatly written
solutions must be given.

3.GRADING: The course grade will be based on: homework and quizzes (20%),
3 in-class tests (16% ea.) and

a comprehensive final (32\). There will be no makeup tests- the instructor
must be notified in advance of any

justifiable date conflicts.

TEST DATES/TOPICS: 9/24: Ch. 1,2,3 11/5: Ch 4,5,6,7 12/3:Ch. 10,11

FINAL EXAM: Monday, 12/13

My usual grading scale for this course is: A: 80-100; B:70-79; C: 55-69;
D: 40-54. Below 40 OR less

than 40% on the final:F