Math 214-01 (Fall 2022) Schedule (subject to change)

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Date

Sections

Lecture  Notes

Homework

Other readings

9/1(R)

0, 1.1-1.2

Lecture1
math major Writing

 

The Grammar According to West

9/6(T)

1.3-1.6

Lecture2

Homework 1 (tex, pdf) (due 9/9 F)
Optional additional problems (do not turn in)
Chap1(3,5,9,21,25,33,37,51,63,67)

set set of all sets partition of set

9/8(R)

2.1-2.9

Lecture3

de Morgan's law
double negative Exclusive Or Incusive or

9/13(T)

2.1-2.10, 7.2

Lecture4

Homework 2 (tex, pdf) (due 9/16 F)
Optional additional problems (do not turn in)
Chap2(9,23,25,27,31b,33c,39c,53,57,69,71,79)

Knights and Knaves

9/15(R)

2.1-2.10, 7.2, 3.1-3.3

Lecture5

Notes 1

Bell number

9/20(T)

3.3-3.4

Lecture6

Homework 3 (tex, pdf) (due 9/23 F)
Optional additional problems (do not turn in)
Chap3: (21,37,51,65)

Most beautiful theorems
Fermat's theorem on sums of two squares
Fermat's Last Theorem
 

9/22(R)

4.1, 4.3

Lecture7

prime number
Goldbach conjecture Green-Tao Theorem
Twin prime conjecture
Notes 1

9/27(T)

5.1-5.2

Lecture8

Homework 4 (tex, pdf) (due 9/30 F)
Optional additional problems (do not turn in)
Chap 4: (27,31,39,81,95) Chap 5:(11,17,19,29,49,51,55)

Putnam competition
Virginia Tech Competition

Reductio ad absurdum

9/29 (R)

5.3-5.5

Mathematical induction

10/4 (T)

6.1-6.2

Lecture9

Homework 5 (tex, pdf) (due 10/7 F)
Optional additional problems (do not turn in)
Chap 6: (1,5,9,15,21,25,31,39,49)

an MI notes
All horses are the same color paradox
Srinivasa Ramanujan

10/6 (R)

6.3

Lecture10

Cauchy-Schwarz inequality
AM-GM inequality
Tower of Hanoi

10/11(T)

Exam 1


10/13(R)

Fall Break

No class

 

Date

Sections

Lecture Notes

Homework

Other readings

10/18(T)

12.1-12.4

Lecture11

 

 

Homework 6 (tex, pdf) (due 10/21 F)
Optional additional problems (do not turn in)
Chap 12: (7,21,27,35,37c,38c,41,49,55,63c)

Euclidean algorithm
Relatively prime numbers

10/20(R)

12.5-12.6

Lecture 12

10/25(T)

12.6, 4.2

Lecture13

Homework 7 (tex, pdf) (due 10/28 F)
Optional additional problems (do not turn in)Chap 12: (65,81,87) Chap 9(3,7,9,19,23)

divisibility
Last digit

10/27(R)

9.1-9.3

Lecture14

modular arithmetic

11/1(T)

9.4-9.5

Lecture15

Homework 8 (tex,pdf) (due 11/4 F)
Optional additional problems (do not turn in)Chap 9: (25,33,41,49,51)

From Terry Tao's blog 1
From Terry Tao's blog 2

11/3(R)

9.6, 10.1-10.2

Lecture16

permutation

11/8(T)

Election day

Homework 9 (tex, pdf) (due 11/11 F)
Optional additional problems (do not turn in)Chap 9: (61,71) Chap 10 (3,7,9b,27,33,37,45,53,55,59,67c,71)

Equivalence relation

11/10(R)

10.3-10.4

Lecture18

Bijection

11/15(T)

10.5

Lecture19

Injection
Surjection

11/17 (R)

Exam 2

Exam 2 Review and sample problems

11/22(T)

11.1-11.2

Lecture20

11/24(R)

Thanksgiving

Homework 10 (tex, pdf) (due 12/2 F)
Optional additional problems (do not turn in) Chap 11 (5,7,9,17)

cardinal numbers
Hilbert's grand hotel (video)
Georg Cantor  Cantor's diagonal argument

11/29(T)

11.1-11.2

Lecture21

0.999.... Cantor pairing

12/1(R)

11.3

Lecture22

Homework 11 (tex, pdf) (due 12/9 F)

Optional additional problems (do not turn in) Chap 11 (26,33,35,41,49,51)

continuum hypothesis

Bernstein–Schroeder theorem
space-filling curve 

12/6(T)

11.4-11.5

Lecture23

Final exam review

Final Notes
Sample Final exam Spring 2014 Spring 2016

12/8(R)

11.4-11.5

Lecture24

 

 

12/16 (F)

Final Exam 2-5pm

Some Mathematics Pop Books