#analytic geometry

[garbagechocolate]

What is the center and radius of the circle indicated by the equation?

(x−2)2+y2=36

-Cousin Throkmorton Anon

[noosphe-re]

Calculus and Analytic Geometry by George B. Thomas Jr. 1969 4th Edition

[i-rationality]

Mathematical Olympiad Journey

- Phase 2

As always I would really appreciate some advice!!

As some of you may know, I passed to the second phase of my country’s mathematical olympiad and have a little under a month to prepare. This series is going to describe that preparation and hopefully help those who want to participate too.

18/12/2021

Before starting the conventional preparation, of strengthening my theory and blind sponts, and doing and correcting past exams, I’m going to review my first phase notes and re-check some youtube videos and websites, to see what other people advise for preparation.

19/12/2021

Did some exercises on topics I didn’t get a very good grasp, namely diophantine equations. For those equations, I advise the following simple exercises :

https://math.ryerson.ca/~abonato/Teaching/AM8002/Worked_LDE.pdf

They are really simple and the steps are explained in the following solutions, doubts are easily googled.

20/12/2021

Did a previous exam that was pretty heavy on combinatorics, noticed I need to perfect my knowledge in that area. Also managed time pretty well but was too impulsive at the start, I should think my strategy through before starting to solve an exercise.

The fun and joy problem solving brings was there so, overall, I’m pretty happy!! 

22/12/2021 - 12:12 a.m

Currently correcting my previous exam and identifying my weaknesses as I go. One I noticed, that maybe most look over, is the fact that a lot of exercises, specially after the first phase start combining topics. Algebra tends to be pretty universal but a combination of combinatorics and number theory may occur.

23/12/2021

Problems in combinatorics/Nr Theory: Not converting problem to a mathematical expression right away, need to be more precised and focused. Think things through

Problems in Geometry: Not knowing/ feeling comfortable enough with the topic. Interpretation

24-27/12/2021

Got sick on christmas eve, did 2 to 3 past exams since then but time management was shit (obviously, really didn’t have the energy to try hard). Made a plan to correct exercices to list what I did incorrectly (identify flaws in logic), what I didn’t manage to do (to try again before looking at the answer sheet) and topics I felt weak or uncertain about (to reinforce with exercices that aren’t part of past exams).

Wishing you all happy holidays and a good new year! <3

[strawzy-studies]

really and truly not looking forward to geometry next year

[mathememetician]

What she says: I'm fine

What she means: How come Rene Descartes is only remembered as a philosopher, and the guy who said "I think therefore I am"? The Cartesian plane is NAMED after him and still only hard mathematicians know that he invented it. Also, the whole Newton/Leibniz argument completely ignores the fact that Descartes allowed both of them to discover calculus, because of his theories/ideas and invaluable work with exponents - he literally laid the foundations of calculus but no one mentions him when discussing who invented it. He even invented the modern notation of writing powers as superscripts as well as the convention of using x,y,z for variables and a,b,c for constants. Most importantly he INVENTED ANALYTIC GEOMETRY and pulled everyone's collective heads out of their collective asses. He was one of the greatest mathematicians. But yeah, a cool philosopher too, let's let "Cogito Ergo Sum" be his only legacy.

[noosphe-re]

Analytical Geometry of Two and Three Dimensions and Vector Analysis (Ratan Mohan Khan)

[noosphe-re]

Calculus and Analytic Geometry by Douglas F. Riddle

[noosphe-re]

Calculus/Late Trigonometry Version (Earl W. Swokowski)