This schedule will change often throughout the course of the semester. The further into the future it goes, the more approximate it becomes. Hence I'd advise bookmarking it and revisiting it frequently (e.g. the night before each lecture) rather than printing it out and chiseling it onto stone tablets that you mount on your dorm room wall.
|
Dates |
Topics |
Reading |
Homework |
Miscellaney |
|---|---|---|---|---|
| 8/24-8/26 |
Fields and linear systems |
For fields: Apostol's Calc I book 3.2 and 9.1-9.5 For linear systems: Treil 2.1-2.3 |
homework 1 |
Please consider signing up for the topology reading group. This will be run by Prof Connolly meet for an hour every Tuesday this semeser. |
| 8/29-9/2 |
Vector spaces and subspaces |
Treil 1.1-1.2, 1.7, 2.5 |
homework 2 |
There'll be a help session for the 1st homework on Monday 8/29 from 7:30-8:30 PM in 258 Hurley. Here's a simple sample latex file together with the pdf file compiled from it. Please cite me carefully if you choose to use any of the facts it describes in your own work Here's a written version of the last thing I proved in class today, i.e. that a linearly independent set is never larger than a generating set. |
| 9/5-9/9 |
Linear Independence and bases, coordinates |
1.2, 2.5, and see 2.8.1 for coordinates. |
homework 3 |
1st math club meeting Monday Sept 5 at 5 PM Starting Monday 9/5, all help sessions will be 7:30-8:30 PM down in the math library in the large partitioned off area in the back left corner. I'll hold an office hour (+1/2) tomorrow from 5-6:30. For the rest of the semester, I think I'll hold office hours from 3-5 PM on Tuesdays. |
| 9/12-9/16 |
Linear transformations |
1.3-1.5, 1.6 |
homework 4 Here's the tex source for the assignment. You'll need this file full of shortcut macros to compile it. |
1st math for everyone
talk on Thursday Sept 15 at 5 PM. I'll drop the lowest hwk score
for anyone who attends 3 out of 4 of these (and turns in a brief
summary for each) this semester. Also, if you help math club out
with arranging the food for one of these, I'll count that as an extra
event. |
| 9/19-9/23 |
Invertible matrices and Isomorphisms |
1.6, 2.4, 2.8 |
homework 5 (and tex source) |
Check out the math reading groups on projective and algebraic geometry. Both topics have a lot to do with linear algebra. |
| 9/26-9/30 |
subspaces associated with linear transformations. The rank theorem |
2.6, 2.7 |
homework 6 (and tex source) |
There will be no class on Friday 9/30.
To make up for it, I will start class 5 minutes early and end 5 minutes
late on 9/26,28 and 10/3,5,7. |
| 10/3-10/7 |
Determinants |
3.1-3.3 |
No new homework this week, but here's a review sheet for the midterm |
It seems that the Math for Everyone career
discussion has been cancelled. Not sure yet how I want to adjust
my offer to drop lowest hwks yet---maybe 2 out of 3 events is good
enough. |
| 10/10-10/14 |
Determinants |
3.4 |
homework 7 (and tex source) |
1st midterm on Tuesday 10/11 from 6:20-8:20
PM in 125 Hayes-Healy. I'll use the help session on Monday to
review for and answer questions about the exam. |
| 10/24-10/28 |
Cofactor expansion, Operators and eigenvalues |
3.5 4.1, 4.2 (skip 4.2.1 for now) |
homework 8 and tex source |
|
| 11/31-11/4 |
More eigenvalues |
homework 9 and tex source |
Prof Caine has a new blog you might like to visit. The 25 billion dollar eigenvector |
|
| 11/7-11/11 |
Complex eigenvalues of real operators Invariant subspaces and the Cayley-Hamilton Theorem |
8.5.2 (complexification) 9.1 (discussion of Cayley Hamilton Thm) Mathematica notebook from 11/11 |
homework 10 and tex source |
2nd math for everyone
talk on Thursday Nov 10 at 5 PM in Jordan 101. Note the new larger venue! Dave Richeson, whose book Euler's Gem won the Euler Book Prize will tell Four tales of impossibility. You'll need to rely on lectures more than usual this week, since Treil doesn't do what I'll be talking about, or at least not in anything like the same fashion.. |
| 11/14-11/18 |
Inner product spaces |
5.1-5.3 |
homework 11 and tex source Some penitential notes about orthogonal bases. |
I'm imagining that the material in sections
5.1-5.3 was already covered in Connolly's honors calc course.
It's up to you to point out all the ways in which that isn't true! A math for everyone event has been added on Thursday Nov 17 at 5 PM in 127 Hayes-Healy: Actuaries, the IRS and how to prove mathematically that you do not discriminate presented by Tayt Odom and Thomas Totten |
| 11/21 |
Something fun |
No homework due this week. Please let
me know if you intend to visit me during office hours this
Tuesday. O/w I might be playing hooky. |
||
| 11/28-12/2 |
Least squares, adjoint transformations, and isometries. |
5.4-5.7 |
homework 12 and tex source. |
The final math for everyone
event for the semester will be at 5 PM on Thursday Dec 1 in 127
Hayes-Healy. This time a panel of four current ND undergrads will
discuss their experience with summer REU programs. |
| 12/5-12/7 |
Probably dual spaces |
8.1-8.4 (Treil has far more to say on this topic than I will). |
Review sheet for the final |
Review session for final exam: Sunday 12/11 from 8-10 PM in HH125. Final exam is Tuesday 12/13, 8-10 AM in HH229 |