Math 214 Schedule

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Sample homework: (tex, pdf)
Sample homework answer (tex, pdf)
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Date

Sections

Lecture Notes

Homework

Other readings

1/21(R)

0, 1.1-1.2 Lecture 1

 

The Grammar According to West writing tips
1/26(T)
1.3-1.6 Lecture 2
Homework 1 (tex, pdf) (due 1/29 F)
Optional additional problems (do not turn in)
Chap1 (3,5,9,21,25,33,37,45,47,51,61,63,73,79)
set set of all sets partition of set

1/28(R)

2.1-2.9
Lecture 3


de Morgan's law
implies double negative

2/2(T)

2.1-2.10
Lecture 4

Homework 2 (tex, pdf) (due 2/5 F)
Optional additional problems (do not turn in)
Chap2 (9,23,25,27,31b,33c,39c,53,69,71,79)

Knights and Knaves

2/4(R)

2.10-2.11, 7.2
Lecture 5
Exclusive Or Incusive or
Chinese New Year

2/9(T)

3.1-3.3 Lecture 6

Quiz 1
Homework 3 (tex, pdf) (due 2/12 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
Notes 1

2/11(R)

3.4, 4.1
Lecture 7
prime number
Goldbach conjecture  Twin prime conjecture
Green-Tao Theorem

2/16(T)

4.3-4.6 Lecture 8

Homework 4 and 5 (tex, pdf) (due 2/22 Monday)
Optional additional problems (do not turn in)
Chap 4: (27,31,39,43,61,67,81,95)
Chap 5:(11,17,19,25,29,49,55,57)

Putnam competition
Virginia Tech Competition

2/18(R)

5.1-5.5 Lecture 9
Reductio ad absurdum

2/23(T)

6.1-6.2 Lecture10


Srinivasa Ramanujan

2/25(R)

Exam 1


Notes 1

3/1(T)

6.3-6.4 Lecture11

Homework 6 (tex, pdf) (due 3/14 Monday)
Optional additional problems (do not turn in)
Chap 6: (1,5,9,21,31,49)

Mathematical induction
Another MI site
All horses are the same color paradox

3/3(R)




 

3/8(T)

Spring Break


no class


3/10(R)
Spring Break

no class


Date
Sections
Lecture
Homework
Other readings

3/15(T)

11.1-11.4
Lecture12 Homework 7 (tex, pdf) (due 3/18 F) 
Quiz 2 (take home, turn in 3/17))
Optional additional problems (do not turn in)
Chap 11: (7,21,23,27,35,37c,38c)
Tower of Hanoi

3/17(R)

11.3-11.4
Lecture13
Lecture14
Exam 1 makeup problem set

3/22(T)

11.5-11.6, 4.2
Lecture15

Homework 8 (tex, pdf) (due 3/25 F)
Optional additional problems (do not turn in)
Chap 11: (41,55,59,63c,65,81)

Coin problem (more general case)
divisibility Last digit

3/24(R)

8.1-8.3
Lecture16
From Terry Tao's blog 1
From Terry Tao's blog 2

3/29(T)

8.4-8.6
Lecture17

Quiz 3
Homework 9 (tex, pdf) (due 4/1 F)

permutation

3/31(R)

8.4-8.6
Lecture18



Modular arithmetic
Equivalence relation

4/5(T)

9.1-9.2
Lecture19

4/7(R)

Exam 2

Exam 2 makeup problem set (due 4/23 Sa)


4/12(T)

9.2-9.4 Lecture20 Homework 10 and 11 (tex, pdf) (due 4/16 Sa)

4/14(R)

9.5-9.6
Lecture21


cardinal numbers
Hilbert's grand hotel (video)

4/19(T)

10.1-10.2
Lecture22 Homework 12 (tex, pdf) (due 4/23 Sa) Georg Cantor  Cantor's diagonal argument
4/21(R)
10.3
Lecture23

continuum hypothesis
0.999.... Cantor pairing

4/26(T)

10.4,10.5
Lecture24

Quiz 4 (due 4/27 W)
Homework 13 (tex, pdf) (not due)

Bernstein–Schroeder theorem
space-filling curve

4/28(R)

Review for exam
Lecture25

Review for final exam

Final Notes
Sample Final exam Fall 2010 Spring 2014

5/11 (W)



Final Exam 2pm-5pm


Some Mathematics Pop Books

How Not to Be Wrong: The Power of Mathematical Thinking, by Jordan Ellenberg

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