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.
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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)

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Date

Sections

 Lecture  Notes

Homework

 Other readings

8/25(R)

 0, 1.1-1.2 Lecture1

 

 The Grammar According to West Writing
8/30(T)
 1.3-1.6 Lecture2
 Homework 1 (tex, pdf) (due 9/2 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

9/1(R)

 2.1-2.9
 Lecture3
de Morgan's law
implies double negative

9/6(T)

 2.1-2.10
 Lecture4

Homework 2 (tex, pdf) (due 9/9 F)
Optional additional problems (do not turn in)
Chap2 (9,23,25,27,31b,33c,39c,53,69,71,79)

 Knights and Knaves

9/8(R)

 2.10-2.11, 7.2
Lecture5
 Quiz 1
 Exclusive Or Incusive or

9/13(T)

 3.1-3.3 Lecture6

Homework 3 (tex, pdf) (due 9/16 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
 

9/15(R)

 3.4, 4.1
 Lecture7
prime number
Goldbach conjecture Green-Tao Theorem
Twin prime conjecture
Notes 1

9/20(T)

 4.3-4.6
 Lecture8

Homework 4 (tex, pdf) (due 9/23 F)
Optional additional problems (do not turn in)
Chap 4: (27,31,39,43,61,67,81,95)

Putnam competition
Virginia Tech Competition

9/22(R)

 5.1-5.5
 Lecture9 Quiz 2
 Reductio ad absurdum

9/27(T)

 6.1-6.2 Lecture10

Homework 5 (tex, pdf) (due 9/30 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
Another MI site
All horses are the same color paradox
Srinivasa Ramanujan

9/29(R)

 6.3-6.4
 Lecture11
Cauchy-Schwarz inequality
AM-GM inequality
Tower of Hanoi

10/4(T)

 Exam 1

review and sample problems
Exam 1 makeup problems

 Notes 1

10/6(R)

11.1-11.4

Lecture 12
 Homework 6 (tex, pdf) (due 10/14 F)
Optional additional problems (do not turn in)
Chap 11: (7,21,23,27,35,37c,38c) 		Euclidean algorithm
Relatively prime numbers

10/11(T)

Fall Break

no class


Date
 		Sections
 		Lecture Notes
 Homework
 		Other readings

10/13(R)

 11.3-11.4
 Lecture13
 math major

10/18(T)

 11.3-11.4
 Lecture14
EXTREEMS-QED
 Homework 7 (tex, pdf) (due 10/21 F)
Optional additional problems (do not turn in)
Chap 11: (41,55,59,63c,65,81)
 divisibility
Last digit

10/20(R)

 11.5-11.6, 4.2
 Lecture15
modular arithmetic

10/25(T)

 8.1-8.3 Lecture16

Homework 8 (tex,pdf) (due 10/28 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

10/27(R)

 8.4-8.5 Lecture17

Quiz 3

 permutation

11/1(T)

 8.6, 9.1-9.2
 Lecture18

Homework 9 (tex, pdf) (due 11/4 F)
Optional additional problems (do not turn in)
Chap 8: (61) Chap 9 (3,7,9b,9e,13,29,33,37)

 Equivalence relation

11/3(R)

 9.3-9.4
 Lecture19


Bijection

11/8(T)

 9.5-9.6
 Lecture20 Homework 10 (tex, pdf) (due 11/11 F)
Optional additional problems (do not turn in)
Chap 9 (45,53,55,57,59,67c,71)
 Injection
Surjection

11/10(R)

 Review for exam 2
 Lecture21




11/15(T)

 Exam 2
Exam 2 Review and sample problems

11/17(R)

 10.1-10.2 Lecture22

Homework 11 (tex, pdf) (due 11/28 M)
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

11/22(T)

 10.3
 Lecture23 Exam 2 makeup problems
 0.999.... Cantor pairing
11/24(R)
 no class
Thanksgiving
 continuum hypothesis

11/29(T)

 10.4-10.5
 Lecture24

Quiz 4
Homework 12 (tex, pdf) (due 12/2 F)

 Bernstein–Schroeder theorem
space-filling curve

12/1(R)

 Review for exam
 Lecture25

Review

 Final Notes
Sample Final exam Fall 2010 Spring 2014

12/6(T)

Final Exam 9am-12noon
Some Mathematics Pop Books