Видео

Produced by Yeseul (Emma) Jeong 0:00 Introduction 0:30 Why use the Euclidean Algorithm? 0:53 Subtraction-based Method (w/ example problem) 1:35 Modulus-based Method (w/ example problem) 2:00 Outro References: ruclips.net/video/h86RzlyHfUE/видео.html www.britannica.com/biography/Euclid-Greek-mathematician blog.naver.com/study_java/222841121494

Produced by Eunsul (Anna) Kim

Produced by Seung Jun (Jason) Roh 0:50 Primality Test (Fermat’s Test) 3:26 Why Infinitely Many Prime Numbers?

Produced by Seohyun (Lina) Kim 0:00 Title 0:05 Pascal's Triangle 0:43 Who made Pascal’s Triangle 0:56 Binomial Theorem 1:08 Who made Binomial theorem 1:22 Example Question #1 2:03 Example Question #2 References: byjus.com/maths/pascals-triangle/ www.mathsisfun.com/algebra/binomial-theorem medium.com/mathadam/a-general-binomial-theorem-a9764ffa6cd9 www.shmoop.com/polynomial-equations/Pascal-and-...

Produced by Taeho (Roy) Kang

Produced by Gunwoo Lee 0:05 Theorem 0:19 Proof References: ruclips.net/video/OyLmPjnAIPI/видео.html en.wikipedia.org/wiki/Stewart's_theorem planetmath.org/ProofOfStewartsTheorem

Produced by Shinyoung (Becky) Park 0:17 Table of Contents 0:27 Definition 1:34 Formula 2:15 Proof of Gergonne Theorem 2:53 Proof of Van Aubel Theorem 3:12 Practice Problem References: mathpeak.tistory.com/79 www.cut-the-knot.org/triangle/Gergonne.shtml gogeometry.com/gergonne.htm mathshistory.st-andrews.ac.uk/Extras/Gergonne_theorem/ mathworld.wolfram.com/GergonnesTheorem.html

Produced by Stella (Zian) Oh 0:18 Pythagorean theorem 0:36 History 1:08 Proof by Pythagoras (Rearrangement) 1:45 Proof by Euclid 3:01 Proof using the Power of Point References: artofproblemsolving.com/wiki/index.php/Pythagorean_Theorem www.wowstem.org/post/ancient-mathematics-triangles-in-egypt byjus.com/maths/pythagoras-theorem/ www.sciencefocus.com/news/the-babylonians-were-using-pythagoras-t...

Produced by Yeonah (Elle) Cho 0:15 Definition 0:42 Formula 1:15 Proof References: en.wikipedia.org/wiki/Apollonius's_theorem www.ck12.org/c/geometry/medians/lesson/Medians-BSC-GEOM/ www.quora.com/What-is-the-format-of-Apolloniuss-theorem-in-a-right-angled-triangle byjus.com/maths/altitude-median-triangle/ ruclips.net/video/YV9qjFK6uZM/видео.html

Produced by Junseok (Matthew) Huh 00:09 Definition of Distance 00:40 Distance in 2D 01:07 Proof 01:51 Distance in 3D 02:14 Proof 03:03 Practice Problem 03:24 Internal Division Point 03:34 Internal Division Point Formula 04:15 Practice Problem References: brilliant.org/wiki/3d-coordinate-geometry-equation-of-a-plane/ byjus.com/physics/distance-and-displacement/ byjus.com/maths/distance-between-t...

Produced by Yoonseo (Riley) Do 0:00 Title 0:08 Basic Terms 0:37 Chord-Chord Power Theorem 1:10 Proof 2:08 Example 2:24 Secant-Secant Power Theorem 3:14 Proof 4:05 Example 4:27 Secant-Tangent Power Theorem 5:05 Proof 5:45 Example References: naperville203geometry.weebly.com/power-theorems.html ruclips.net/video/nPlO_O0tbGg/видео.html

Produced by Hyomin (Alfonso) Jon 00:00 Introduction 00:18 Basic Concepts 01:16 Residue 01:40 Congruence 02:36 Arithmetic Rules 03:19 Modulo in Coding 04:01 Credits References: artofproblemsolving.com/wiki/index.php/Modular_arithmetic/Introduction mathsisfun.com/numbers/modulo.html www.freecodecamp.org/news/the-python-modulo-operator-what-does-the-symbol-mean-in-python-solved/ www.khanacademy.or...

Produced by Kang Min (Alex) Baek 0:03 Arithmetic Sequence 0:39 Arithmetic Series 1:33 Practice Problem 3:08 Geometric Sequence 3:43 Geometric Series 5:31 Practice Problem References: artofproblemsolving.com/wiki/index.php/Geometric_sequence artofproblemsolving.com/wiki/index.php/Arithmetic_sequence artofproblemsolving.com/wiki/index.php/2006_AMC_12A_Problems/Problem_12 artofproblemsolving.com/w...

Produced by Chaerin (Lina) Kim 0:00 Title 0:13 Overview 0:24 Basic Terms 0:42 Basic Theorem & Properties 1:20 Definition 1:35 Proof 2:50 Practice Problem 3:02 Solution References: byjus.com/maths/mid-point-theorem/ tutors.com/math-tutors/geometry-help/how-to-find-orthocenter-of-a-triangle www.mathplanet.com/education/geometry/quadrilaterals/properties-of-parallelograms ruclips.net/video/BR_L6Ub...

AM-GM Inequality and Cauchy-Schwartz Inequality

Cavalieri's Principle

Ceva’s Theorem

Brahmagupta's Theorem: How to Find the Area of a Quadrilateral

Menelaus' Theorem

Area of Triangle 2: Use Sine & Area Circumradius Formula

Law of Cosines

Divisibility Rules

Ptolemy's Theorem

Mansion's Theorem

Area of Triangle 1: Use Heron’s Formula & Shoelace Theorem

Law of Sines

Mu Alpha Theta 2022-2023 Club Pitch