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.
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)

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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
Exam 1 makeup 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)

11.3-11.4
Lecture15
EXTREEMS-QED
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)

11.5-11.6, 4.2


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)

10.1
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)

10.2 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