Math 214

Math 214 Schedule (subject to change)

LaTeX is a programming language to type texts with math content. You need to use some text editor to compile your .tex file, then use a latex compiler to typeset your latex file.

For Windows, you may
(a) download the MikTex program from http://miktex.org/download;
(b) then download the Texmaker program from http://www.xm1math.net/texmaker/download.html.
For Mac users, you may download MacTex from http://tug.org/mactex/.Or TeXShop.
You may also use the online editor Overleaf , ShareLaTeX, Papeeria, or Google doc TeX editor SpartanTeX. (about)

Alternatively you can download a Windows TeX package CTeX.

Here is a tutorial page for latex.

Sample homework: (tex, pdf)
Sample homework answer (tex, pdf)
Latex symbol table (4 pages) Detexify² - LaTeX symbol classifier A complete symbol list (105 page long)

More about LaTeX

Date	Sections	Lecture Notes	Homework	Other readings
8/31(R)	0, 1.1-1.2	Lecture1 math major		The Grammar According to West Writing
9/5(T)	1.3-1.6	Lecture2	Homework 1 (tex, pdf) (due 9/8 F) Optional additional problems (do not turn in) Chap1 (3,5,9,21,25,33,37,47,51,61,63,73,79)	set set of all sets partition of set
9/7(R)	2.1-2.9	Lecture3		de Morgan's law implies double negative
9/12(T)	2.1-2.10	Lecture4	Homework 2 (tex, pdf) (due 9/15 F) Optional additional problems (do not turn in) Chap2 (9,23,25,27,31b,33c,39c,53,69,71,79)	Knights and Knaves
9/14(R)	2.10-2.11, 7.2	Lecture5	Quiz 1	Exclusive Or Incusive or
9/19(T)	3.1-3.3	Lecture6	Homework 3 (tex, pdf) (due 9/22 F) Optional additional problems (do not turn in) Chap3: (21,45), Chap4: (1,5,13)	Most beautiful theorems Fermat's theorem on sums of two squares Fermat's Last Theorem
9/21(R)	3.4, 4.1	Lecture7		prime number Goldbach conjecture Green-Tao Theorem Twin prime conjecture Notes 1
9/26(T)	4.3-4.6	Lecture8	Homework 4 (tex, pdf) (due 9/29 F) Optional additional problems (do not turn in) Chap 4: (27,31,39,43,61,67,81,95)	Putnam competition Virginia Tech Competition
9/28(R)	5.1-5.5	Lecture9	Quiz 2	Reductio ad absurdum
10/3(T)	6.1-6.2	Lecture10	Homework 5 (tex, pdf) (due 10/6 F) Optional additional problems (do not turn in) Chap 5:(11,17,19,25,29,49,55,57) Chap 6: (1,5,9,21,31,49)	Mathematical induction an MI notes All horses are the same color paradox Srinivasa Ramanujan
10/5(R)	6.3-6.4	Lecture11		Cauchy-Schwarz inequality AM-GM inequality Tower of Hanoi
10/10(T)	11.1-11.4	Lecture 12	review and sample problems	Notes 1
10/12(R)	11.3-11.4	Lecture13 Lecture14	Homework 6 (tex, pdf) (due 10/20 F) Optional additional problems (do not turn in) Chap 11: (7,21,23,27,35,37c,38c)	Euclidean algorithm Relatively prime numbers
10/17(T)	Fall Break		no class

Date	Sections	Lecture Notes	Homework	Other readings
10/19(R)	Exam 1
10/24(T)	11.5-11.6	Lecture15	Homework 7 (tex, pdf) (due 10/27 F) Optional additional problems (do not turn in) Chap 11: (41,55,59,63c,65,81)	divisibility Last digit
10/26(R)	4.2, 8.1	EXTREEMS-QED	Exam 1 makeup problems	modular arithmetic
10/31(T)	8.1-8.3	Lecture16	Homework 8 (tex,pdf) (due 11/3 F) Optional additional problems (do not turn in) Chap 8: (9, 19, 23, 25, 41, 49, 51)	From Terry Tao's blog 1 From Terry Tao's blog 2
11/2(R)	8.4-8.5	Lecture17	Quiz 3	permutation
11/7(T)	8.6, 9.1-9.2	Lecture18	Homework 9 (tex, pdf) (due 11/10 F) Optional additional problems (do not turn in) Chap 8: (61) Chap 9 (3,7,9b,9e,13,29,33,37)	Equivalence relation
11/9(R)	9.3-9.4	Lecture19		Bijection
11/14(T)	9.5-9.6	Lecture20	Homework 10 (tex, pdf) (due 11/17 F) Optional additional problems (do not turn in) Chap 9 (45,53,55,57,59,67c,71)	Injection Surjection
11/16(R)	Review for Exam 2	Lecture21	Exam 2 Review and sample problems
11/21(T)	Exam 2
11/23(R)	no class (Thanksgiving)		Homework 11 (tex, pdf) (due 12/1 F) Optional additional problems (do not turn in) Chap 10 (5,7,9,17,25)	cardinal numbers Hilbert's grand hotel (video) Georg Cantor Cantor's diagonal argument
11/28(T)	10.1-10.2	Lecture22	Exam 2 makeup problems	0.999.... Cantor pairing
11/30(R)	10.3	Lecture23	Thanksgiving	continuum hypothesis
12/5(T)	10.4-10.5	Lecture24	Quiz 4 Homework 12 (tex, pdf) (due 12/8 F)	Bernstein–Schroeder theorem space-filling curve
12/7(R)	10.5, Review for exam	Lecture25	Review	Final Notes Sample Final exam Fall 2010 Spring 2014
12/20(W)			Final Exam 9am-12noon

Some Mathematics Pop Books

How Not to Be Wrong: The Power of Mathematical Thinking, by Jordan Ellenberg, 2015 (review by Bill Gates)
The Signal and the Noise: Why So Many Predictions Fail--but Some Don't, by Nate Silver, 2012 (wikipedia page, fivethirtyeight.com)
Flatland, by Ian Stewart, 2008
When Life is Linear: From Computer Graphics to Bracketology, by Tim Chartier
Math Bytes: Google Bombs, Chocolate-Covered Pi, and Other Cool Bits in Computing, by Tim Chartier