summer 2008: m316l: foundations of geometry, statistics, and probability (93760)
my office hours: m w th 2 - 3pm, rlm 11.114
schedule
monday
tuesday
wednesday
thursday
friday
week 1
reading
8.1
8.1
8.2
8.2
8.3
7/14 - 7/18
explorations
8.5
8.9
8.7
8.14
8.17
assignments
-
-
-
-
hw 1 & hw 2
week 2
reading
8.3
ch. 9 intro & 9.1
9.1 & 9.2
9.2
9.2
7/21 - 7/25
explorations
8.19
9.4
9.6
9.7
dilation
assignments
-
hw 3
quiz 1
-
hw 4 & take-home assigned
week 3
reading
9.3
ch. 10 intro & 10.1
10.1
10.1 & 10.2
10.2
7/28 - 8/01
explorations
9.11
10.1
10.4
metric system
10.5
assignments
-
hw 5
-
-
hw 6 & take-home due
week 4
reading
10.2
10.2 & 10.3
10.3
10.3
ch. 7 intro & 7.1
8/04 - 08/08
explorations
10.7
10.7 & 10.8
10.12
10.14
10.15
assignments
-
hw 7
-
-
hw 8
week 5
reading
7.1
7.2
7.2 & 7.3
7.3
-
8/11 - 08/15
explorations
7.2
7.3, 7.4
7.12
review
review
assignments
quiz 2
hw 9
-
-
hw 10
the final exam is scheduled for either august 16 or 18.
hw 1: pp. 518-521: 2, 5, 9, 18
hw 2: pp. 555-559: 7, 10, 13 a-c, 22, 36, 38
hw 3: pp. 575-577:
3, 11, 15, 16, 17, 21, 22, 25
first day handout [pdf]
spring 2008: m316k: foundations of arithmetic (58635/58640)
my office hours: tu th 3 - 4:30pm, rlm 11.114
schedule (due dates appear in brackets, so [01/14] means that the assignment is due on january 14th)
week/dates
reading
homework
explorations
exam/project
1: 01/14 - 01/18
preface, 1.1 - 1.3
pp. 26-29: 3, 11, 12, 19, 23, 27, 33, 39 [01/23]
1.1 (Problem 1, 2), 1.2
-
2: 01/23 - 01/25
1.4 - 1.6
pp. 54-58: 3, 5, 8, 17, 24, 33 [01/28]
1.4 (Problem 1, 2), 1.5
-
3: 01/28 - 02/01
2.1 - 2.2
pp. 76-79: 5, 13, 18
pp. 96-100: 11, 14, 20, 22, 35 [02/04] 2.3, 2.8 (Part 1, 2)
-
4: 02/04 - 02/08
2.3
pp. 119-122: 13, 23, 24, 32 [02/11]
2.8 (Part 2, 3)
exam 1 [02/08]
5: 02/11 - 02/15
3.1
pp. 150-151: 5, 6, 9, 17, 20, 21, 22, 24 [02/18]
3.2, 3.3, 3.1
-
6: 02/18 - 02/22
3.2
pp. 166-168: 5, 6, 8, 11, 12 20, 25, 28 [02/25]
3.5, 3.6, 3.8
-
7: 02/25 - 02/29
3.3
pp. 186-189: 14, 40, 50, 52 [03/03]
3.9, 3.12, 3.10
project 1 [02/29]
8: 03/03 - 03/07
3.4
pp. 207-210: 3, 26, 30, 33, 37, 47, 50, 57 [03/17]
3.18, 3.20, 3.22
-
9: 03/10 - 03/14
spring break
-
-
-
10: 03/17 - 03/21
4.1 - 4.3
pp. 229-232: 30, 33
pp. 239-241: 14, 17, 19, 21
pp. 252-253: 7, 11 [03/24]
4.2, 4.5, 4.4
-
11: 03/24 - 03/28
5.1
pp. 265-267: 9, 11, 22, 23 [3/31]
5.2
exam 2 [03/28]
12: 03/31 - 04/04
5.2
pp. 281-284: 6, 7, 8, 12, 14, 17, 30, 32 [04/07]
5.9, 5.8
-
13: 04/07 - 04/11
5.3
pp. 303-307: 16, 19, 25, 27, 46, 49, 51, 53 [04/14]
5.12, 5.13, 5.15
-
14: 04/14 - 04/18
5.4
pp. 331-334: 16, 38, 53, 55 [04/21]
5.16, 5.17, 5.18
project 2 [04/18]
15: 04/21 - 04/25
6.1 - 6.2
pp. 354-357: 20, 28, 35, 37, 44, 47
pp. 373-377: 46, 54 [04/28]
6.4, 6.2, 6.3
-
16: 04/28 - 05/02
review
none
-
final exam
the final exam for the 58635 class is officially scheduled for 2 - 5pm on friday, may 9th in rlm 6.104; for 58640, the final exam is scheduled for 7 - 10pm on saturday, may 10th in rlm 7.104. the last day to drop a class without an academic penalty is february 11; the last day to do the same with the dean's approval is march 24.
here are my office hours for next week [note that one of the times may change, but i will send an email if that is the case]:
m 1-2:30pm
tu 1-2pm
w 1-2:30pm
th 2-3pm
first day handout [pdf]
solution to hw2, problem 33 [pdf]
project 1 [pdf]
project 2 [pdf]
fall 2007: m316k: foundations of arithmetic (59950/59955)
my office hours: tu th 3:00-4:30pm, rlm 11.114
schedule (due dates appear in brackets, so [09/03] means that the assignment is due on september 3rd)
week/dates
reading
homework
explorations
exam/project
1: 08/29 - 08/31
preface, 1.1 - 1.2
none
1.1 (#2, 4)
-
2: 09/03 - 09/07
1.3 - 1.5
pp. 26-29: 1, 5, 10, 18, 21, 28, 33, 39 [09/10]
1.1 (#1), 1.3
-
3: 09/10 - 09/14
1.6 - 2.1
pp. 54-57: 1, 3, 5, 7, 9, 24, 27, 32 (a-c) [09/17]
1.4 (#1, 2), 1.7, 2.1
project 1 [09/14]
4: 09/17 - 09/21
2.2 - 2.3
pp. 76-79: 3, 13, 23
pp. 96-100: 11, 22, 24
pp. 119-122: 24, 29 [09/24] 2.8
-
5: 09/24 - 09/28
3.1
pp. 150-151: 1, 6, 7, 12, 17, 21, 22, 24 [10/01]
3.2, 3.3
exam 1 [09/24]
6: 10/01 - 10/05
3.2
pp. 166-168: 4, 6, 9, 12, 25, 20, 27, 28 [10/08]
3.5, 3.6, 3.8 (part 1)
-
7: 10/08 - 10/12
3.3
pp. 186-187: 6, 11, 14, 21, 35, 37, 46, 52 [10/15]
3.8 (part 2), 3.9, 3.10, 3.12
project 2 [10/12]
8: 10/15 - 10/19
3.4
pp. 207-210: 4, 26, 33, 36, 50, 57 [10/19]
3.15/3.17, 3.18, 3.20, 3.24
-
9: 10/22 - 10/26
4.1 - 4.3
pp. 229-232: 16, 23
pp. 239-241: 9, 17, 19
pp. 252-253: 9, 11 [10/29]
4.2, 4.4
exam 2 [10/22]
10: 10/29 - 11/02
5.1
pp. 265-267: 4, 8, 9, 11, 13, 15, 22, 23 [11/05]
shb.1, 5.1/5.2, 5.3/5.4
-
11: 11/05 - 11/09
5.2
pp. 281-284: 2, 7, 14, 8, 10, 17, 30, 32 [11/12]
5.7, 5.9, 5.8
-
12: 11/12 - 11/16
5.3
pp. 303-307: 6, 15, 30, 46, 49, 53 [11/19]
5.10, 5.13, 5.15
13: 11/19
5.4
pp. 331-334: 12, 34, 42, 52, 53 [11/26]
5.16
project 3 [11/19]
14: 11/26 - 11/30
6.1 - 6.2
pp. 373-377: 16, 23, 28, 36, 44, 48, 49, 53 [12/03]
6.2 (Parts 1 & 2), 6.4, 6.5 (Q 1-7)
-
15: 12/03 - 12/07
review
none
-
final exam
the final exam for the 12-1pm class is officially scheduled for saturday, december 15 from
7-10pm in rlm 5.104; for the 1-2pm class, the final exam is scheduled for friday, december 14 from 9am-12pm in rlm 5.114. the last day to drop a class without an academic penalty is september 26; the last day to do the same with the dean's approval is october 24. exam 1 and 2 will both be graded in time to meet these dates.
note: there will be no class on wednesday, november 21.
my office hours for dead week are tentatively as follows (they may change, so check here before coming):
m - 12/10 - 11am-12pm
tu - 12/11 - 1-2:30pm
w - 12/12 - 2-3:30pm
th - 12/13 - 10-11am
first day handout [pdf]
project 1 [pdf]
project 2 [pdf]
exploration shb.1: modular arithmetic [pdf]
project 3 [pdf]
summer 2007: m427l: vector calculus
my office hours: mw 2-3:30pm, tth 2:30-3:30pm
assigned problems:
ch 1 review, p. 89, #3, 5, 6, 12, 25, 27, 32, 36, 43, 44, 45, 46
ch 2 review, p. 174 , #3, 7(e),(f), 12, 13, 17, 18, 23, 25, 28, 37
ch 4 review, p. 314-315, #15-29
first day handout [pdf]
introduction to vector calculus [pdf]
lines, planes, cross products and coordinate systems [pdf]
functions, limits, continuity and differentiation [pdf]
paths, derivatives and the gradient [pdf]
maxima and minima [pdf]
maxima and minima ii [pdf]
vector-valued functions [pdf]
implicit function theorem and integration [pdf]
change of variables and applications of integration [pdf]
applications of integration and improper integration [pdf]
path integrals, line integrals, and introduction to surfaces [pdf]
integrating over surfaces [pdf]
green's theorem, stokes' theorem, and conservative fields [pdf]
gauss' theorem, differential forms and exam review [pdf] [solutions to exam review]
final exam review [pdf] [solutions - note that there is a small error in the solution to problem 1. condition (i) should read 1=\lambda 2*x + \mu. one should still be able to show that \lambda is not zero.]
spring 2006: m427k: diff eq
my office hours: m 10-11, w 10:30-12:30, f 3-5
ny times article on email at universities (free registration required)
group [pdf] assignments
first day handout [pdf]
background review [pdf]
(linear) first order ode's handout [pdf]
separable and exact equations [pdf]
basic examples of diffeqs and first order ode's [pdf]
second order homogeneous ode's with constant coefficients [pdf]
fundamental solutions and linear independence [pdf]
the existence and uniqueness theorem [pdf]
midterm 1 review [pdf]
second order homogeneous ode's with 1 repeated root [pdf]
second order non-homogeneous ode's - undetermined coefficients and variation of parameters [pdf]
series solutions 1 [pdf]
series solutions 2 [pdf]
series solutions 3 [pdf]
laplace transform 1 [pdf]
laplace transform 2 [pdf]
applications of the laplace transform: discontinuous functions 1 [pdf]
applications of the laplace transform: disonctinuous functions 2 [pdf]
applications of the laplace transform: impulse function and convolution [pdf]
midterm 2 review [pdf]
linear systems - linear algebra preliminaries [pdf]
linear systems - eigenvalues, eigenvectors and solving systems [pdf]
linear systems - complex eigenvalues [pdf]
linear systems - exponential of a matrix and repeated eigenvalues [pdf]
numerical methods [pdf]
advanced numerical methods [pdf]
pde's - boundary value problems [pdf]
pde's - fourier series [pdf]
pde's - even/odd functions and the heat equation [pdf]
pde's - the heat and wave equations [pdf]
fall 2005: m427k-c: diff eq with computer methods
problem sets
polking's matlab apps
lab notebooks will be collected on Th 9/29 and Tu 11/1 [drop them off in the box in front of my office by 5pm - do not bring them to class. NOTE: there are no more notebook checks. assignment [6] should be handed in as a problem set (due 12/6/05)] .
group [pdf] assignments
variation of parameters [pdf] writeup
problem 5.4.36 [pdf] writeup
complex eigenvalue [pdf] writeup (courtesy of Tim Blass)
problem 11.2.24 [pdf] writeup
final exam review [pdf]
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