Date

Topic

Notes

Sept 10

Induction, Telescoping sums, Sections 11, 12

HW do some induction problems, telescoping sums too

Sept 17

Sections 21, 22, reading mathematics


Sept 24

Fake theorems, linear diophatine equations

finish proof, pick topics for videos

Oct 1

addition and multiplication principles


Oct 8

generating functions, distributions, Fermat's Little theorem + generalizations


Oct 15

Review Fermat's Little Theorem, equivalence, card shuffling


Oct 22

Card shuffling, eulerphi, generating functions

have drafts of script ready to record

Oct 29

cocurricular days


Nov 5

Euler phi, more widgets and doodles


Nov 12

generating functions, moebius inversion


Nov 19

watched the videos

videos due

Nov 26

mobius pairs, necklaces, more coeffs in g.f.s.


Dec 3

more coeffs in g.f.s, derive a library of g.f.s.

first unexam due

Jan 7

a taste of cryptography, finish library of g.f.s. (except for #1113 h.w.)


Jan 14

number theory practice, oeis.org and example

forum question assigned

Jan 21

primitive roots, discrete log, number theory exercises, sage


Jan 28

factoring, discrete log, raise to power, primality testing, sage

more number theory questions

Feb 4

more number theory problems, generating functions from recursions, library of gfs

do the last number theory problem, work on the library of gfs problems

Feb 11

finished the big library of g.f.


Feb 18

Reading week


Feb 25

identities, combinatorics and generating functions


Mar 3

combinatorics and generating functions, adjacent quadratic residues

next unexam given

Mar 10

partitions and generating functions


Mar 17

unexam bonus, partitions, partition matching worksheet, fire alarm

unexam due

Mar 24

Weather emergency: class postponed


Mar 31

Euler's pentagonal number theorem, gaussian binomial coefficients, more partition generating functions


Apr 4

infinite sums and and infinite products

Makeup class, class evaluations, unexam assigned
