Essential Memorization for A-Level Maths: Pure Revision Class Part 1

I’m offering a Pure Revision class for the 2023 exams - check it out and buy a ticket here https://www.tickettailor.com/events/bicenmaths/901464? For all available sessions, check out the full range: https://buytickets.at/bicenmaths If you’d like a blank copy to test yourself with, or the completed pdf, you can find them both on my Bicen Maths Google Drive here: https://drive.google.com/drive/folders/1uUbx_lRLLE9O4WnI8TS77dUOJw_DjljV?usp=sharing ALGEBRAIC LAWS - Simple Index Laws: https://youtu.be/iMIGYz9YD8M (P1 Ch1 Algebraic Expressions) - Fractional/Negative Index Laws: https://youtu.be/o-uBjrBpMnU (P1 Ch1) - Factor Theorem: https://youtu.be/9_Byxo3Ivgg (P1 Ch7 Algebraic Methods) - Inequalities: https://youtu.be/w1nAb7F6I6g (P1 Ch3 Equations & Inequalities) - Partial Fractions, repeated linear factor: https://youtu.be/PmY4MKI6Ruk (P2 Ch1 Algebraic Methods) GEOMETRY - Cosine Rule: https://youtu.be/PJJReQUkfOQ (P1 Ch9 Trigonometric Ratios) - Sine Rule: https://youtu.be/norRarv5Ao8 (P1 Ch9) - Area of Triangle: https://youtu.be/msfm4LgHjZc (P1 Ch9) - Arc Length: https://youtu.be/p3doZ87PG9w (P2 Ch5 Radians) - Sector & Segment Area: https://youtu.be/NBf8j_Pdeuw (P2 Ch5) FUNCTIONS - Definition: https://youtu.be/EH2PzkZ_Vvw (P2 Ch2 Functions) - Domain/Range: https://youtu.be/krzajuHrbGo (P2 Ch2) - Composite: https://youtu.be/qV9Ls9DFlmQ (P2 Ch2) - Inverse: https://youtu.be/TS6rY_8fBis (P2 Ch2) GRAPHS & COORDINATES - Midpoints: https://youtu.be/zYcXzpdmmMk (P1 Ch6 Circles) - Gradient: https://youtu.be/kJBUJQXw6J4 (P1 Ch5 Straight Line Graphs) - Perpendicular: https://youtu.be/jO9NV5RRmlQ (P1 Ch5) - Equation of a Line: https://youtu.be/s_bzuiWC2RI (P1 Ch5) - Discriminant: https://youtu.be/unnOd-YRKhg (P1 Ch2 Quadratics) - Reciprocal Graphs: https://youtu.be/IHinfFk-6Jo (P1 Ch4 Graphs & Transformations) - Circles: https://youtu.be/8CIS0N9pBN4 (P1 Ch6) - Sin, Cos, Tan Graphs: https://youtu.be/x9TdHhhFAtg (P1 Ch9 Trig Ratios) VECTORS - AB Vector: https://youtu.be/B2tqxz2BkZQ (P1 Ch11 Vectors) - Parallel: https://youtu.be/VfR2ssAflzQ (P1 Ch11) - Magnitude, Unit Vectors: https://youtu.be/vgg6jKwDpXQ (P1 Ch11) - Angles with Axes: https://youtu.be/ox5KkJVjc5s (P2 Ch12 Vectors) BINOMIAL EXPANSION - Binomial Coefficient: https://youtu.be/gBSCE8w2aC0 (P2 Ch4 Binomial Expansion) - (a+bx)^n form: https://youtu.be/dD5D3EUSwiQ (P2 Ch4) SERIES - Arithmetic nth Term: https://youtu.be/aGz2V-uXn90 (P2 Ch3 Series) - Arithmetic Sum: https://youtu.be/rE2oQ32STDU (P2 Ch3) - Geometric nth Term: https://youtu.be/lM1WTTbjaA4 (P2 Ch3) - Geometric Sum: https://youtu.be/iFxOYeio06w (P2 Ch3) - Geometric Sum to Infinity: https://youtu.be/gQW6JuEId78 (P2 Ch3) - Types: https://youtu.be/8TJr8qXLOvE (P2 Ch3) TRIGONOMETRY: - Radians: https://youtu.be/J64ehDpvdNs (P2 Ch5 Radians) - Small Angle Approximations: https://youtu.be/mWAZTRm5yew (P2 Ch5) - Exact Trig Values: https://youtu.be/O6m4alSvOyc (P1 Ch10 Trig Equations & Identities) - Tangent Definition: https://youtu.be/Q7Bd7DiWUts (P1 Ch10) - Solving Equations: https://youtu.be/QhYaIrxM098 (P1 Ch10) - Reciprocal Trig: https://youtu.be/QnPYdChKlmY (P2 Ch6 Trig Functions) - Co-Function: https://youtu.be/Dg5fGWv2-eA (P1 Ch10) - Pythagorean Identities: https://youtu.be/8L4AieGeb4I (P2 Ch6) - Addition Formulae: https://youtu.be/R_8xC1W-DCQ (P2 Ch7 Trig & Modelling) - Double Angle Formulae: https://youtu.be/anpz_zD8Dsw (P2 Ch7) - Harmonic Identity: https://youtu.be/Fa0pb4xywPo (P2 Ch7) DIFFERENTIATION - a^x, e^x, lnx: https://youtu.be/aChIW7I0qrE (P2 Ch9 Differentiation) - sinx, cosx: https://youtu.be/53cj-YVARFo (P2 Ch9) - Other trig functions: https://youtu.be/zY5al0e4sN0 (P2 Ch9) - Chain Rule: https://youtu.be/VgV23HsA8Og (P2 Ch9) - Product Rule: https://youtu.be/6xYGJWM0WBY (P2 Ch9) - Quotient Rule: https://youtu.be/o3zp371Qydo (P2 Ch9) - Reciprocals: https://youtu.be/0-eUQNCpPe0 (P2 Ch9) - Parametric: https://youtu.be/A2F1WLg8vrU (P2 Ch9) NUMERICAL METHODS - Roots: https://youtu.be/d0xf-g7a2_c (P2 Ch10 Numerical Methods) - Staircase/Cobwebs: https://youtu.be/k9pjAnl_rFs (P2 Ch10) - Newton-Raphson: https://youtu.be/ZgsPur2kG6k (P2 Ch10) INTEGRATION - Standard Funcs: https://youtu.be/4Nl5SDTtvpY (P2 Ch11 Integration) - f'(ax+b) Type: https://youtu.be/wCeBeGUrHaU (P2 Ch11) - Reverse Chain: https://youtu.be/z2NXiLu1Amg (P2 Ch11) - Substitution: https://youtu.be/uakEgrddu-c (P2 Ch11) - Integration by Parts: https://youtu.be/_1Vf-6kCfCo (P2 Ch11) - Parametric: https://youtu.be/lW55do5piCs (P2 Ch11) CONTENTS: 0:00-1:49 Why you SHOULD memorise these facts 1:49-2:20 Key for Formula Page 2:20-4:31 Algebraic Laws (Year 1) 4:31-5:55 Geometry (Year 1/2) 5:55-7:00 Functions (Year 2) 7:00-11:41 Graphs & Coordinates (Year 1) 11:41-12:44 Vectors (Year 1/2) 12:44-14:15 Binomial Expansion (Year 1/2) 14:15-15:36 Series (Year 2) 15:36-22:08 Trigonometry (Year 1/2) 22:08-26:03 Differentiation (Year 1/2) 26:03-27:59 Numerical Methods (Year 2) 27:59-32:22 Integration (Year 1/2) 32:22-32:28 Outro