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