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Australian Intermediate Maths Olympiad - Panter - 13.08.2022 Australian Intermediate Maths Olympiad MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz Language: English | Size: 9.83 GB | Duration: 7h 38m Stepping stone to the IMO What you'll learn Mathematics Number theory (Arithmetic and modular arithmetic) Geometry (Triangles and circles) Proofs (Direct, induction, contraposition, contradiction) Algebra Problem solving with application to all previous AIMO problems AIMO 2013-2019 papers Requirements Concentrate for 2 hours Determined to succeed Description First longer time limit competition for students in Australia to display their maths skills over 4 hours. We use this as a concrete way to teach students long term maths skills rather than just focus completely on the test. It will be a great way to improve one's concentration length, logical reasoning and overall problem solving skills. Come join us unravel the beauty of mathematics. Overview Section 1: Introduction Lecture 1 Introduction 2020 Lecture 2 Planning Lecture 3 2019 Notes Lecture 4 2018 notes Section 2: 2020 Geometry Lecture 5 Overview of topics Lecture 6 Circumcircles Lecture 7 Cyclic quads Lecture 8 Bowtie Theorem Lecture 9 Incircles Lecture 10 Relationship between Circumcircles and Incircles Section 3: Proofs Lecture 11 Intro to proofs Section 4: Modular arithmetic (Number theory I) Lecture 12 2020 Summary of bases&mods Lecture 13 Bases other than 10 Lecture 14 Division algorithm and modular arithmetic Lecture 15 Divisibility rules 2 to 11 not 7 Lecture 16 Divisibility rule for 7 Lecture 17 Exercises Lecture 18 AIMO 2002 question 1 Lecture 19 AIMO 1999 question 8 Lecture 20 AIMO 1999 question 10 Section 5: Algebra Lecture 21 Notes Lecture 22 Addition Exercise 3 Lecture 23 Algebra basics Section 6: Triangles and circles (Geometry) Lecture 24 Congruent triangles Lecture 25 Circumcircles Lecture 26 Incircles Lecture 27 Cyclic quadrilaterals Lecture 28 Two angles standing on the same arc are equal Lecture 29 Exercises Lecture 30 Example error Lecture 31 AIME Problem 13 diagram Section 7: Extension of triangles: Trigonometry Lecture 32 Role of trigonometry Lecture 33 2002 Q10 with trig Section 8: Fundamental theorem of arithmetic Lecture 34 ax+by=gcd(a,b) Lecture 35 p|ab implies p|a or p|b Lecture 36 Unique product of primes Lecture 37 Fundamental Theorem of Arithmetic Section 9: Number Theory test Lecture 38 Test paper Section 10: Algebra Test Lecture 39 Test paper Lecture 40 Algebra review Lecture 41 Q2 (2000 AIMO Q2) Lecture 42 Q3 (2003 AIMO Q3) Lecture 43 Q4 (1999 AIMO Q4) Lecture 44 Q7 continued Section 11: Geometry Test Lecture 45 Geometry test 1 questions Lecture 46 Q4 Lecture 47 Test question 9 (AIMO1999Q9) Lecture 48 AIMO 2011 Q8, 9, 10 Lecture 49 Monday Senior Contest questions Section 12: August meetings Lecture 50 2012 AIMO Q5, 2008 AIMO Q4 Lecture 51 Night before senior contest Lecture 52 2012 AIMO Q7,8, 2006 Q9, 2000 Q9,10, 2001 Q6 Lecture 53 Fundamental Theorem of arithmetic. '02 Q6, '07 Q5 Lecture 54 AIMO 2004 Q6, 2006 Q10, 2009 Q10, 2011 Q2 ax+by=d Lecture 55 AIMO 2009 Q9, 2010 Q10 & investigation Section 13: September Lecture 56 AIMO 2008 Q9 Lecture 57 2008 Q10 investigation Lecture 58 AIMO2018 Q6-10 investigation, 2009 Investigation Lecture 59 AIMO 2003 Q9,10, 2007 Q9, 2005Q10 Lecture 60 AIMO2016 Q8,9,10, 207Q9, 2007Q10 Section 14: 2013 AIMO paper Lecture 61 Paper Lecture 62 Q1-10 plus Investigation (playlist) Section 15: 2014 Lecture 63 Paper Lecture 64 Q1, Q3, Q5, Q7, Q8 (video) Q1,3,8,9,10 (see notes) Section 16: 2015 Lecture 65 Paper Lecture 66 Q10 (video) Q1,5,10 (see notes) Section 17: 2016 Lecture 67 Paper Lecture 68 Q5, Q6, Q7, Q9 (link) Q8,9,10 (See September 9 video) Section 18: 2017 Lecture 69 Paper Lecture 70 Q3,5,6,10 (see 2018 notes) 4,7,8 (2019 notes) 9 (September 9 lecture) Section 19: 2018AIMO Lecture 71 Paper Lecture 72 Q3 Lecture 73 Q6-10 plus investigation (September 2 lecture) Section 20: 2019 AIMO Lecture 74 Questions Section 21: Where to from here? Lecture 75 Just getting started Lecture 76 Mastering the AIMO course Lecture 77 AIME problems Students keen to improve their maths wanting to go to the IMO,Students qualified for the AIMO through school or AMC Download from RapidGator Download from Rapidgator: Download from Keep2Share |