This course, Honors Calculus II, Advanced Placement,
covers Linear Algebra, Multivariable Calculus, and Series.
See the syllabus for more information (link below, to a PDF document).
Calculus II Advanced Placement meets 5 times
weekly:
at 10:10 - 11:00am MWF, FolH 208
and
at 10:10(Sec. 011) TuTh, SmithH 121
or 12:20(Sec. 012) TuTh, VinH 1.
Office Hours: 1-2pm MWF or by appointment -- or call 5-3855 to see if
I'm in and available, especially before class.
You can
ask questions by email too: jodeit@math.umn.edu
Please, send
me messages in TEXT mode only! Also, here is a Web link to a list of
special codes for math symbols (most of them start with the \
character).
TEXT (ISBN 0-486-68336-2)
Advanced Calculus of Several Variables,
by C. H. Edwards, Jr., Dover 1994
Announcements, hints, "news" will be here.
News, Dec 23: Best Wishes to all for the Holidays and Break!!
Final Exam gradelines.
> top 200
> ptop 175
> A 140
> B 115
> C 95
> D 70
More News, Dec 13: The Final's cover page: link below.
News, Dec 13: The Final is at 1701 University, Room 3.
NOTE!!! The area formula in the Pyramid Formula done today
was wrong! One of you pointed it out after class. It should have
been (1 - (h/H))^2 A. While the contraction factor is linear,
the contraction factor must be squared to give the area, since
each of two dimensions is affected! Thanks to the pointer-outer!
News, Dec 9: A link to some problems on integrals is below.
News, Nov 19: A typo in Practice test 3, #6, has been
corrected!
Test 3, Friday Nov 22, will again
take place in Fraser 101.
News, Nov 15: A link to Practice test 3 is below.
News, Oct 30: Test 2 will take place in Fraser 101.
News, Oct 24: A new link, to Practice Test 2, is below.
News, Oct 23: A new link, to the Gronwall stuff, is below.
News, Oct 20: A new link, to "Polar Coordinates," is below.
News, Oct 12: A new link, to "The Replacement Lemma," is below.
News, Oct 1: Test 1 will be Friday Oct 4
in room 143 at 1701 University, at 10:10am,
and a new link, to a handout about rotation in space,
is below.
News, Sep 24: The Fall Project, Due Dec 4. Revised 10:30pm
The Fall Project is due Dec 4. Each team turns in one paper. Unless
your Project says otherwise, each team member receives the same score for the project.
The Project: Derive and present a quickly usable method for pointing
to the Sun, if you are given (by anyone) a date and local time from
zero hours Dec 4, 2002 to 2400 hours Dec 31, 2003.
Your direction to the Sun will be from a point at 45 degrees N
and 93 degrees W, elevation equal to the mean radius of Earth.
Your report should at least include a diagram showing the apparent
positions of the Sun at noon throughout the year.
You may assume that the orbit of Earth is a circle lying in the
xy-plane of a heliocentric coordinate system. You should assume
that the positive x-axis in the heliocentric coordinate system
passed thru the center of Earth at the instant early in 2002 when
Earth's axis was aligned tangent to the cylinder determined by the
orbit of Earth and the heliocentric z-axis, which we assume has
positive dot product with Earth's axis (from South Pole to North
Pole). In other words, the vernal equinox. Any other way of setting
up the heliocentric coordinate system would have to be fully
and carefully explained!
Scoring will have a competitive component. Appearance and good
writing will count! The main component will be presentation of your
derivation of your method and its correctness.
Links, if any, to other Web pages pages related to this course
will go here.
They are PDF files (you need
Adobe Acrobat Reader to view them).
Follow this link to download the latest Acrobat Reader
from Adobe at no charge.
"Express" URL
Some multiple integral problems for practice.
Gronwall's Lemma and Differential Equations.
Rotation about an axis in space.
Additional Exercises and Problems.
Old notes: Systems of Linear Equations.