Advanced Calculus
Department of Mathematical Sciences
WORCESTER POLYTECHNIC INSTITUTE
MA 3832, Advanced Calculus, Term D01
Instructor:
B. Doytchinov
Office: SH105D
Office hours:
Mo 11:00-11:50am
Tu 1:00-2:50pm
Th 9:00-9:50am
e-mail:bogdand@wpi.edu
TEXT
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Thomson, Bruckner, Bruckner Elementary Real Analysis, Prentice Hall.
COURSE CONTENTS
This is the second part of the Advanced
Calculus course. It continues further the
rigorous presentation of the important concepts of
classical real analysis.
Here are some topics that we are planning to go over this term:
- elementary topology of metric spaces,
- limits and continuity in metric spaces,
- differentiation in Euclidean spaces,
- other topics in multivariate calculus.
Some of these topics were started last term, we will go somewhat
deeper into them. The planned coverage is Chapers 5, 6, 7 (parts),
11, 12 (parts), 13 -- not necessarily in the same order. This is an
ambicious plan and we might not get to cover everything.
LECTURES
There are four lectures per week. There are no conferences, labs or MASH
sessions. You are expected to spend about 15 hours per week on the course. This
means that more than 2/3 of the learning for this course will take place
outside of class. A serious attitude and good working habits are paramount.
You are expected to attend all lectures. If you
miss a class, it is your responsibility to make a copy of the classnotes
from another student and make sure you learn what you have missed.
HOMEWORK
Homework will be assigned four times throughout the term,
and will always be due a week from the
day it is assigned. It is an important part of the course. Many
of the
homework problems will not be a rehashing of class examples, but
will add to
the material studied, stretch your minds, and expand your
horizons. Homework
will account for 30% of your grade. The lowest homework score
will be dropped.
Since there will be only two exams and no in-class activities, you
should take your homework assignments seriously.
EXAMS and GRADING POLICY
There will be an in-class 50-minute Midterm Exam (tentatively, on April 3)
and a Final exam the form of which will be determined later.
The grade will be calculated in the
following way:
30% of the grade come from the three best homeworks,
30% of the grade come from the Midterm Exam,
40% of the grade come from the Final Exam.
These scores are combined to give a final number of
points, between 0 and 100.
Point ranges for the final grades are approximately given by:
A: 100-90
B: 89-80
C: 79-65
As usual, these cut-offs give you a guaranteed minimal grade; your actual
grade could be higher.
Advanced Calculus, Term C01
Homework
Test Solutions
Send me mail:
bogdand@wpi.edu