http://sites.math.rutgers.edu/~zeilberg/math437_21.html
Last Update: Nov. 22, 2021
TEXT:
OFFICIAL Rutgers email: zeilberg at math dot rutgeres dot edu
E-mail for this class: DrZLinear@gmail.com
The coordinator/Editor in Chief is Sarah Magno. Each student is expected to write four to five short essays, to be assigned by Ms. Magno (but you are
welcome to request), of the participants in the historic Ramanujan Centennial Conference (1987)
Here is a much better picture
Here is the template (so far it does not have much)
Due Dec. 7, 2021 (each student will give a short presentation during the last two classes, Dec. 8, and Dec. 13. They can share the screen with their essays.)
1981 article (by Philip Todd and Dr. Z.) Mind reading trick maple code to generate these
homework 0 (Due Sunday, Sept. 5, 8:00pm)
Email DrZlinear@gmail.com with Subject: hw0, and attachment hw0FirstLast.pdf)
Added Sept. 8, 2021: look at the students' nice solutions in directory.
Here is the getting to know you quiz and here are are the solutions
Here is the empty attendance quiz for Lecture 0 and here are the solutions to the attendance quiz for Lecture 0 (except for the attendance questions)
Egyptian Fractions Maple code for Egyptian Fractions Chinese Remainder Theorem Dr. Z.'s handout.
homework 1 (Due Sunday, Sept. 12, 8:00pm)
Added Sept. 13, 2021: look at the students' nice solutions in directory.
Here is the empty attendance quiz for Lecture 1 and here are the solutions to the attendance quiz for Lecture 1 (except for the attendance questions)
wikipedia article on the SATOR (magic!) word square
MagicWordSquare.txt: A Maple package to generate magic word squares.
first sample output
second sample output
wikipedia article on Magic Squares, See also Jonathan Dimond's fascinating article.
homework 2 (Due Sunday, Sept. 19, 8:00pm)
Added Sept. 20, 2021: look at the students' nice solutions in directory.
Here is the empty attendance quiz for Lecture 2 and here are the solutions to the attendance quiz for Lecture 1 (except for the attendance questions)
Triangular Numbers Square Numbers Pentagonal Numbers Hexagonal Numbers
Quiz 1 (0n hw0 and hw1)-
Here are the full solution
Here is the empty attendance quiz for Lecture 3
Here is the solutions to the Attendance quiz for lecture 3 (except the attendnace questions)
homework 3 (Due Sunday, Sept. 19, 8:00pm)
Added Sept. 20, 2021: look at the students' nice solutions in directory.
Zeno Zeno's paradoxes Dr. Z.'s infinity-denying opinion.
homework 4 (Due Sunday, Sept. 26, 8:00pm)
Added Sept. 27, 2021: look at the students' nice solutions in directory.
Here is the empty attendance quiz for Lecture 4
Here is the solutions to the Attendance quiz for lecture 4 (except the attendnace questions)
Pythagorean theorem (wiki) On Pythagorean triples (wiki)
Real Quiz 2 (0n hw2 and hw3)
Here are the full solution
Here is the empty attendance quiz for Lecture 5
Here are the solutions to the Attendance quiz for lecture 5 (except the attendnace questions)
The Native Americacn Pythagoras joke
homework 5 (Due Sunday, Sept. 26, 8:00pm)
Added Sept. 27, 2021: look at the students' nice solutions in directory.
Euclid's Postulates (From Wolfram MathWorld) Non-Euclidean Geometry (wiki) Liar's Paradox (wiki) Axiomatic_system (wiki) Gödel's Incompleteness Theorem (wiki) Dr. Z.'s version of Turing's undecidability
Here is the empty attendance quiz for Lecture 6
Here are the solutions to the Attendance quiz for lecture 6 (except the attendnace questions)
homework 6 (Due Sunday, Oct. 3, 8:00pm)
Added Oct. 4, 2021: look at the students' nice solutions in directory.
[I only started recording after about 30 minutes, sorry. The first part was not that important, how to find the greatest common divisor inefficiently. Then we went over the lecture note below. Please study it carefully]
Real Quiz 3 (0n hw4 and hw5)
Here are the Solutions to Real Quiz 3
homework 7 (Due Sunday, Oct. 3, 8:00pm)
Added Oct. 4, 2021: look at the students' nice solutions in directory.
Empty attendance question for Lecture 7
Here are the solutions to the Attendance quiz for lecture 7 (except the attendnace questions)
Wikipedia article about sqrt(2) Dr. Z.'s sqrt(2) article Jet Wimp's beautiful poem proving that the sqrt(2) of irrational
homework 8 (Due Sunday, Oct. 10, 8:00pm)
Added Oct. 11, 2021: look at the students' nice solutions in directory.
Empty attendance question for Lecture 8
Here are the solutions to the Attendance quiz for lecture 8 (except the attendnace questions)
Real Quiz 4 (0n hw6 and hw7)
Here are the Solutions to Real Quiz 4
Dr. Z.'s Lecture Notes about continued fractions
Empty attendance question for Lecture 9
Here are the solutions to the Attendance quiz for lecture 9 (except the attendnace questions)
homework 9 (Due Sunday, Oct. 10, 8:00pm)
Wikipedia article about prime numbers Dr. Z.'s handout about prime numbers I Dr. Z.'s handout about prime numbers II
homework 10 (Due Sunday, Oct. 17, 8:00pm)
Added Oct. 18, 2021: look at the students' nice solutions in directory.
Empty attendance question for Lecture 10
Here are the solutions to the Attendance quiz for lecture 10 (except the attendnace questions)
Real Quiz 5 (0n hw8 and hw9)
Here are the Solutions to Real Quiz 5
homework 11 (Due Sunday, Oct. 17, 8:00pm)
Added Oct. 18, 2021: look at the students' nice solutions in directory.
wikipedia article on the quadratic equation wikipedia article on Cubic function (the part on Cardano's method) wikipedia article on elementary symmetric polynomials
Empty attendance question for Lecture 11
Here are the solutions to the Attendance quiz for lecture 11 (except the attendnace questions)
wikipedia article on Taylor series Dr. Z.'s handout on Taylor series (from Calc2)
homework 12
Added Oct. 24, 2021: look at the students' nice solutions in directory.
Empty attendance question for Lecture 12
Here are the solutions to the Attendance quiz for lecture 12 (except the attendnace questions)
Real Quiz 6 (0n hw10 and hw11)
Here are the Solutions to Real Quiz 6
Wikipedia articles about Pi and Machin-like formulas
homework 13 (due Oct. 24, 2021)
Added Oct. 24, 2021: look at the students' nice solutions in directory.
Empty attendance question for Lecture 13
Here are the solutions to the Attendance quiz for lecture 13 (except the attendnace questions)
Empty attendance question for Review Lecture
Exam I
Here are the solutions to Exam I
homework 14 (due Nov. 7, 2021)
Added Nov. 8, 2021: look at the students' nice solutions in directory.
Empty attendance question for Lecture 14
Here are the solutions to the Attendance quiz for lecture 14 (INCLUDING the attendnace questions)
homework 15 (due Nov. 7)
Added Nov. 8, 2021: look at the students' nice solutions in directory.
wiki article on the 15 puzzle 1879 article
Play it On-Line! wiki article on Groups
Empty attendance quiz 15
Here are the solutions to Part II the Attendance quiz for lecture 15
Lagrange's theorem about groups(wiki)
homework 16 (due Nov. 14)
Added Nov. 15, 2021: look at the students' nice solutions in directory
[Note that in Anna Z.'s otherwise perfect solutions, there is a "typo", the number of elements of A_{4} is 12, not 15]
.
Empty attendance quiz for Lecture 16
Here are the solutions the Attendance quiz for lecture 16
Real Quiz 7 (on homework 14 and 15)
Here are the Solutions to Real Quiz 7
wikipedia article on Eulerian paths Seven Bridges of Könisberg
homework 17 (due Nov. 14)
Added Nov. 15, 2021: look at the students' nice solutions in directory
Empty attendance quiz for Lecture 17
Former student's solution to Part II of attendance quiz for Lecture 17
wikipedia article on Planar graphs wikipedia article on Platonic Solids
Empty attendance quiz for Lecture 18
Solution to Part II of the attendance quiz for Lecture 18
homework 18 (due Nov. 21)
Added Nov. 22, 2021: look at the students' nice solutions in directory
Real Quiz 8 (on homework 16 and 17)
Solutions to Real Quiz 8
wiki article on Pascal's Triangle wiki article on the Binomial Distribution
Empty attendance quiz for Lecture 19
Solution to Part II of the attendance quiz for Lecture 19
homework 19 (due Nov. 21)
Added Nov. 22, 2021: look at the students' nice solutions in directory
wiki article on Chaos Theory wiki article on Fractals wiki article on the Feigenbaum constant
homework 20 (due Nov. 28)
Empty attendance quiz for Lecture 20
Solutions to part II of attendance quiz for Lecture 20
Quiz 9 (0n hw18 and hw19)