Math 20860, Spring `14

Schedule



Dates

Topics

Reading

Homework

Miscellaney

1/15 - 1/17

Higher order partial derivatives

Jones 3ABC

Homework 1

Prof Connolly will be leading a reading group in metric space topology this spring. Follow the link for more info.

1/20 - 1/24

2nd derivative test for critical points

Jones 3DE, 4DEF

Homework 2

Starting this Thursday 1/23, our grader Jonathan Sheperd will hold a weekly homework help session in partitioned off space in the math library. Please make the most of the opportunity--Sheperd knows his stuff.

Mathematica notebook about quadratic approximation of scalar functions

Math for everyone panel discussion Thurs Jan 23, 5-6 PM in HH 117: What to do mathematically over the summer? This one's particularly relevant for those of you thinking about doing REUs and similar such things.

1/27 - 1/31

Integration on rectangles

Jones 9A-E

Notes about partitions of rectangles

Homework 3

After polling the class, I've decided to set the midterm date & time to Tuesday, March 18 from 6:30-8:30. Location TBA. Also, I'll reserve a room for Thursday 4/26 from 3-5 PM for paper presentations.

Mathematica notebook concerning problem 3-24 from Jones

2/3 - 2/7

Fubini's Theorem and volume

Jones 9F-I, 10AB

Homework 4


2/10 - 2/14

Volume (continued)

Change of variables

Jones 10CD,FG

Homework 5


2/17 - 2/21

Change of variables (continued)


Homework 6

Deadline for homework 5 extended to Monday 2/24.

2/24 - 2/28

Integrating over curves

Jones 2B, 11A,

12AB

Homework 7

Math for everyone talk by David Cox of Amherst College, Thurs Feb 27, 5-6 PM in Jordan 105: Tangents to Four Unit Spheres, an Introduction to Enumerative Geometry

Deadline for homework 6 extended to Monday 3/3.

3/3 - 3/7

Discuss homework problems


review sheet for the midterm exam.

I'll be away at a conference this week.

3/17 - 3/21

Green's Theorem

12 CD

Homework 8

Midterm Tuesday 3/18 from 6:30-8:30 PM in HH 125.

Math for everyone talk by Arlo Caine of Cal Poly Pomona , Thurs March 20, 5-6 PM in Jordan 105: The Shape of Information

3/24 - 3/28

Isoperimetric inequality, closed vs exact forms

12E-G

Homework 9

Math club talk by Daniel Cristofaro-Gardiner of IAS, Thurs March 27, 5-6 PM, Hayes-Healy 127: Counting Lattice Points in Triangles and the Fibonacci Numbers

3/31 - 4/4

Volume of paramtetrized surfaces/submanifolds

(differential) forms

8A-C, 11BC (also see 5.0-5.3 in Hubbard and Hubbard)

handout


No homework collected Friday 4/4. Get your papers done!

4/7 - 4/11

Forms (continued)

handout

Homework 10

Course paper due April 9. This is also the due date for entries to the Taliaferro competition.

Math for everyone talk, Thurs April 10, 5-6 PM in Jordan 105

Due date for this week's hwk extended to next Thursday April 17.

4/14 - 4/17

Integrating forms on submanifolds, Stokes Theorem

handout


Our very own Dr. Nicolaescu will be giving a public math talk at St. Marys on Wed April16 at 5PM.

4/23 - 4/25

Classical integral theorems on R^3

Chaps 13-14 in Jones



4/28 – 4/30

Proof of Stokes Thm


Review sheet for the final exam.

We'll have an extra class on Thursday 4/29 at 1 PM in Hayes-Healy 117

The registrar has moved our final exam to Wed 4:15-6:15 (in 316 DBRT which is our usual classroom).