<span></span><p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">이 글은 AI로 진로를 선택한 사람들이 공부해야 할 일부 과목들(영어, 수학, 자연 과학, 데이터 과학, 컴퓨터 과학, 머신러닝 등) 중 수학의 학습 방법과 절차를 기술합니다. </span></p><br><p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">머신러닝의 입문 코스는 간단한 미적분 개념만으로 소화할 수 있지만, 딱 입문까지 입니다. 입문을 벗어나자 마자, 선형 대수(Linear Algebra), 삼각함수, Geometry, Multivariable Calculus, 및 Complex Variable 등 상당한 폭과 깊이의 수학 배경없이는 진도를 나갈 수가 없습니다. 한 마디로, 수학은 AI 기술의 시작과 끝입니다. </span></p><br><p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">수학은 이해가 아니라 익숙해 지는 것입니다. 또한, 열심히 공부하겠다거나, 노력할 생각은 금물입니다. 적어도 AI 분야에서 노력으로 성취할 수 있는 것은 없으며, 즐기는 가운데 이뤄져야 합니다. 즐길 수 없다면 시작하지 않는 편이 좋습니다.</span></p><br><p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">만 2~3세부터 산수 교육용 앱(게임)을 통해 간단한 사칙연산부터 익히고, 점차 난이도를 올려 초등학교에 진학하는 만 7세부터 대수와 기하, 8~9세부터 삼각함수와 미적분을 공부하는 것이 바람직합니다. 아래는 연령 별로 적합한 앱과 강좌들을 대략적으로 나열한 표입니다.   </span></p><br><div dir="ltr" style="margin-left:0pt;"> <table style="border:none;border-collapse:collapse;"><colgroup><col width="35"><col width="41"><col width="236"><col width="280"></colgroup><tbody><tr style="height:0pt;"><td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;background-color:#4a86e8;padding:2pt;"><br></td> <td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:middle;background-color:#4a86e8;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#ffffff;vertical-align:baseline;white-space:pre-wrap;">Age</span></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:middle;background-color:#4a86e8;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#ffffff;vertical-align:baseline;white-space:pre-wrap;">Subject</span></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:middle;background-color:#4a86e8;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#ffffff;vertical-align:baseline;white-space:pre-wrap;">Note</span></p></td></tr><tr style="height:0pt;"><td rowspan="11" style="border-width:0pt .75pt;border-style:solid;border-color:#000000;vertical-align:middle;background-color:#f3f3f3;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">산수 1</span></p></td> <td rowspan="4" style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:middle;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">2~3</span></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://play.google.com/store/apps/details?id=alphabet.mobit.am&hl=en" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Zoo Alphabet for kids</span></a></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="http://learningworksforkids.com/apps/play-123/" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">PLAY123</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://play.google.com/store/apps/details?id=com.zoodles.kidmode&hl=en" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Kid Mode: Play + Learn</span></a></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://itunes.apple.com/us/app/funbrain-jr./id692246718?mt=8" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Funbrain Jr.</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://itunes.apple.com/us/app/ace-kids-math-games-hd/id367309618?mt=8" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Ace Kids Math Games HD by Brain Counts</span></a></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://play.google.com/store/apps/details?id=com.intellijoy.counting.lite&hl=en" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Kids Learn to Count 123 (Lite)</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://itunes.apple.com/us/app/line-em-up/id419041848?mt=8" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Line ’em up</span></a></p></td> <td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"><br></td></tr><tr style="height:0pt;"><td rowspan="4" style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:middle;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">4</span></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://play.google.com/store/apps/details?id=com.taptolearn.mathVsZombies" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Math Vs Zombies(사칙연산)</span></a></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://play.google.com/store/apps/details?id=zok.android.numbers&hl=en" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Kids Numbers and Math Lite</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://itunes.apple.com/us/app/mystery-math-town/id619404402?mt=8" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Mystery Math Town(사칙연산)</span></a></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="http://www.primarygames.com/math/peterpigsmoneycounter/" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Peter Pig's Money Counter</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="http://www.mathplayground.com/math_monster_multiplication.html" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Math Monsters</span></a></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://itunes.apple.com/us/app/marble-math-lite-multiplication/id575981492?mt=8" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Marble Math Lite: Multiplication</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"><br></td> <td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"><br></td></tr><tr style="height:0pt;"><td rowspan="3" style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:middle;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">5</span></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://itunes.apple.com/us/app/chicken-coop-fraction-games/id484561886?mt=8" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Chicken Coop Fraction Games(분수)</span></a></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="http://www.cubicfrog.com/" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Edukitty Preschool by Cubic Frog Apps</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#434343;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Deep Sea Auel(정수와 소수)</span></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://play.google.com/store/apps/details?id=zok.android.numbers&hl=en" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Kids Numbers and Math by Intellijoy</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"><br></td> <td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://itunes.apple.com/us/app/king-of-math-junior/id579528355?mt=8" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">King of Math Junior by Oddrobo Software AB</span></a></p></td></tr><tr style="height:0pt;"><td rowspan="7" style="border-width:0pt .75pt;border-style:solid;border-color:#000000;vertical-align:middle;background-color:#f3f3f3;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">산수 2</span></p></td> <td rowspan="3" style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:middle;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">6</span></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#434343;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">GeoCoard(도형)</span></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="http://kidsactivitiesblog.com/7451/free-educational-apps-for-kids" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Geometry Eye by iauro Technologies</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#434343;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Kid Math Games - Addition, subtraction, multiplication, division</span></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://itunes.apple.com/us/app/pizza-fractions-1/id374084320?mt=8" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Pizza Fractions: Beginning With Simple Fractions by Brian West</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://play.google.com/store/apps/details?id=com.easysoft.minimath&hl=en" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Let's Do the Math</span></a></p></td> <td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="http://content.mobicip.com/content/rocket-math-dan-russell-pinson-%E2%80%93-making-math-fun" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Rocket Math by Dan Russell-Pinson</span></a></p></td></tr><tr style="height:0pt;"><td rowspan="4" style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:middle;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">7</span></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="http://pbskids.org/" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">PAS Kids Lab</span></a></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://www.amazon.com/Batten-Design-Awesome-Arithmetic-Free/dp/B005ML2IIY" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Awesome Arithmetic Free | Amazon Appstore for Android</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://play.google.com/store/apps/details?id=com.anjokes.apps.math.en&hl=en" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Math Formulary by anjokes</span></a></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="http://learningworksforkids.com/playbooks/mathmateer/" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Mathmateer Free</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://itunes.apple.com/us/developer/studypad-inc./id432105528" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Splash Math by Study Pad, Inc</span></a></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://itunes.apple.com/us/app/sushi-monster/id512651258?mt=8" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Sushi Monster</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="http://www.iosnoops.com/appinfo/tangram-xl-free-for-ipad/364592142" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Tangram XL by NG</span></a></p></td> <td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://play.google.com/store/apps/details?id=com.shanefulmer.algebratutor&hl=en" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Algebra Tutor</span></a></p></td></tr><tr style="height:0pt;"><td rowspan="11" style="border-width:0pt .75pt;border-style:solid;border-color:#000000;vertical-align:middle;background-color:#f3f3f3;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">수학 1</span></p></td> <td rowspan="3" style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:middle;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">8</span></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://itunes.apple.com/us/app/isolveit-mathscaled/id595672156?mt=8" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">iSolveIt: MathScaled</span></a></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#434343;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Free Graphing Calculator - Algebra, calculus, geometry, trigonometry</span></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://itunes.apple.com/us/app/isolveit-mathsquared/id594938855?mt=8" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">iSolveIt: MathSquared</span></a></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://itunes.apple.com/us/app/math-ref-free/id312756358?mt=8" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Math Ref Free - Algebra, geometry, trigonometry, probability & statistics</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://itunes.apple.com/us/app/quick-graph-your-scientific/id292412367?mt=8" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Quick Graph app from KZ Labs</span></a></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://play.google.com/store/apps/details?id=gcmath.ui&hl=en" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Mathmatiz - Android Apps on Google Play</span></a></p></td></tr><tr style="height:0pt;"><td rowspan="2" style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:middle;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">9</span></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://www.amazon.com/Ranvic-Labs-Math-Tricks-Lite/dp/B0057ZPVRA" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Fun Math Tricks Lite: Amazon Appstore for Android</span></a></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://www.amazon.com/Kyle-Fischer-Geometrics/dp/B006ZQUX4Q" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Geometrics | Amazon Appstore for Android</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://www.amazon.com/David-Byrne-Fractoid/dp/B004URXB7S" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Fractoid | Amazon Appstore for Android</span></a></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://www.amazon.com/MATHEMATICAL-FORMULAS-TRIGONOMETRY-STATISTICS-EXAMINATION-ebook/dp/B00E2WSTNM" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">iFormulas - Algebra, calculus, geometry, trigonometry</span></a></p></td></tr><tr style="height:0pt;"><td rowspan="6" style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:middle;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">10</span></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;background-color:#fafbfc;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://www.udacity.com/course/college-algebra--ma008" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;vertical-align:baseline;white-space:pre-wrap;">College Algebra</span></a></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"><br></td></tr><tr style="height:0pt;"><td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://www.udacity.com/course/differential-equations-in-action--cs222" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Differential Equations in Action</span></a></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"><br></td></tr><tr style="height:0pt;"><td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;background-color:#fafbfc;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://www.udacity.com/course/visualizing-algebra--ma006" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;vertical-align:baseline;white-space:pre-wrap;">Visualizing Algebra</span></a></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"><br></td></tr><tr style="height:0pt;"><td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="http://drive.google.com/open?id=144GrntMXT8cUwaYvvUqhgzyFBMBxbymUF3EKSPPNz-Q" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Visual Algebra(Udacity)</span></a></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="http://drive.google.com/open?id=1C3DvLWUKVdPrIxoAeCiwqaI5yCzcgd-Wab3kFGiagdU" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Calculus</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="http://drive.google.com/open?id=1g-o2uCYIwxdAaXR1Ol9ZB_cckkV-Ru5bbo0NpVJ2G8Q" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Geometry</span></a></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://drive.google.com/open?id=1a20eT6WRyKf4oTNGhMHM24qPDEzWkKXqwV5F9XlF75s" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Linear Algebra</span></a></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="http://drive.google.com/open?id=1ocWd_QgU8lW2_mrE3CufITufbUv2Xc124Uu2KWVIjbg" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Trigonometry</span></a></p></td> <td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="http://drive.google.com/open?id=1LEQGfoZT1RcWZTEI6ZIIhBELQwXvPJQVIoMtJc6vYV0" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Differential Equation</span></a></p></td></tr><tr style="height:0pt;"><td rowspan="6" style="border-width:0pt .75pt;border-style:solid;border-color:#000000;vertical-align:middle;background-color:#f3f3f3;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">수학 2</span></p></td> <td rowspan="2" style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:middle;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">11</span></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://drive.google.com/open?id=1p04-KP--PGQRaevyRFGBdu0g_OJOQiI7-zDGg2MKPuc" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Intro Algebra Review</span></a></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#434343;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">MathHistory: A course in the History of Mathematics(njwildberger)</span></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://drive.google.com/open?id=1qdBlGZSD-Tb256oZfEQ3AkawJcOA9qSY9yq12wiQ_28" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Calculus 1</span></a></p></td> <td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"><br></td></tr><tr style="height:0pt;"><td rowspan="2" style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:middle;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">12</span></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://drive.google.com/open?id=1wCJ3YO0vBI91eD-RNU3Q-C7TvkxVOstTK8Uky7Or5Xo" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Calculus 2</span></a></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#434343;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">The History Of Numbers And Mathematics</span></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://drive.google.com/open?id=1sfndkPmSjiWpm2FMXHZTJjxx_QCeW7Cay8LpSQQUe60" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Linear Algebra Refresher Course</span></a></p></td> <td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"><br></td></tr><tr style="height:0pt;"><td rowspan="2" style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:middle;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">13</span></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://drive.google.com/open?id=19PnOmimqfxt4PCzQicaTxvfSqFFyHcu_J_JB9sUWtDE" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Calculus 3</span></a></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#434343;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Introduction to Higher Mathematics</span></p></td></tr><tr style="height:0pt;"><td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://docs.google.com/spreadsheets/d/1a-rsWiwo54JMbNzRfA8t_PyH71f-knr1IcH09c2zLRI/pubhtml" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">College Algebra</span></a></p></td> <td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"><br></td></tr><tr style="height:0pt;"><td rowspan="4" style="border-width:0pt .75pt;border-style:solid;border-color:#000000;vertical-align:middle;background-color:#f3f3f3;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">수학 3</span></p></td> <td rowspan="2" style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:middle;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">14</span></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#434343;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">MIT 6.042J Mathematics for Computer Science, Spring 2015</span></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"><br></td></tr><tr style="height:0pt;"><td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#434343;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">MIT Learn Differential Equations</span></p></td> <td style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"><br></td></tr><tr style="height:0pt;"><td rowspan="2" style="border-width:.75pt .75pt 0pt;border-style:solid;border-color:#000000;vertical-align:middle;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;vertical-align:baseline;white-space:pre-wrap;">15</span></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#434343;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">MIT Calculus Revisited: Multivariable Calculus</span></p></td> <td style="border-width:0pt .75pt .75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"><br></td></tr><tr style="height:0pt;"><td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#434343;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">MIT Calculus Revisited: Calculus of Complex Variables</span></p></td> <td style="border-width:.75pt;border-style:solid;border-color:#000000;vertical-align:bottom;padding:2pt;"><br></td></tr></tbody></table></div><br><p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">이미 만 2살을 넘겨버리는 바람에(이 글의 독자 대부분이 그렇겠지만) 표의 순서 대로 공부할 기회를 놓쳤다면, 차선으로 수학을 속성으로 배우는 것도 괜찮은 방법인데, 일단 영어가 되야 합니다. 그 경우에는 Khan Academy를 추천합니다. 오래 전에 녹화한 것이라 지금 기준으로는 강의 품질이 다소 조잡한 편이라는 비평도 있지만, 사칙연산부터 </span><span style="font-size:10pt;font-family:Arial;color:#434343;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">선형대수(Linear Algebra)까지 1~2개월만에 속성으로 마칠 수 있습니다(하루 8시간, 주5일). </span><span style="font-size:10pt;font-family:Arial;color:#666666;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;"> </span></p><br><p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="http://www.khanacademy.org" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">http://www.khanacademy.org</span></a></p><br><p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Udacity와 edX도 여러 좋은 강좌를 공개하므로, Khan Academy를 마친 뒤 Udacity와 edX의 여러 수학 강좌를 통해 Khan에서 익힌 것을 복습할 수 있습니다. 강의 품질은 Udacity와 edX가 Khan보다 좋다는 평이지만, Khan의 최대 강점은 사칙연산부터 일반수학까지 시리즈로 원샷에 끝낼 수 있다는 점입니다. </span></p><br><h3 dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://www.udacity.com/course/intro-algebra-review--ma004" target="_blank"><span style="font-size:10pt;font-family:Arial;color:#660099;font-weight:400;vertical-align:baseline;white-space:pre-wrap;">Intro Algebra Review | Udacity</span></a></h3><br><p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">그 뒤에는 유튜브에 공개된 대학 교양 과정 수준의 강의를 청취하는 것이 좋은 방법인데, Berkeley, Stanford, Yale, Harvard, MIT 등 왠만한 대학들이 다양한 수준의 수학 강의를 공개하고 있습니다. 그 중에서도 아래 세 강좌를 순서대로 시청하는 것을 추천합니다. </span></p><br><ol style="margin-top:0pt;margin-bottom:0pt;"><li dir="ltr" style="list-style-type:decimal;font-size:10.5pt;font-family:Roboto;vertical-align:baseline;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://www.youtube.com/watch?v=CMWFmjlB8v0&list=PLZzHxk_TPOStgPtqRZ6KzmkUQBQ8TSWVX" target="_blank"><span style="font-size:10.5pt;color:#333333;vertical-align:baseline;white-space:pre-wrap;">Introduction to Higher Mathematics</span></a></p></li> <li dir="ltr" style="list-style-type:decimal;font-size:10pt;font-family:Roboto;vertical-align:baseline;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://www.youtube.com/watch?v=dW8Cy6WrO94&list=PL55C7C83781CF4316" target="_blank"><span style="font-size:10pt;color:#167ac6;vertical-align:baseline;white-space:pre-wrap;">MathHistory: A course in the History of Mathematics</span></a></p></li> <li dir="ltr" style="list-style-type:decimal;font-size:10pt;font-family:Arial;background-color:transparent;vertical-align:baseline;"> <p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><a target="_blank" href="https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-042j-mathematics-for-computer-science-fall-2010/" target="_blank"><span style="font-size:10pt;color:#1155cc;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">Mathematics for Computer Science</span></a></p></li></ol><br><p dir="ltr" style="line-height:1.8;margin-top:0pt;margin-bottom:0pt;text-align:justify;"><span style="font-size:10pt;font-family:Arial;color:#666666;background-color:transparent;vertical-align:baseline;white-space:pre-wrap;">대략 이 정도까지 수학을 익힌 다음, 머신러닝 학습을 진행하면서 필요한 부분만 더 공부하면 됩니다. 물론, 독자 여러분 중 아직 만 2살 미만의 분들은 위의 표에 나열된 순서대로 쭉 진행하는 것이 백배쯤 낫습니다.  </span></p><br>