I’m offering a Core Pure Year 1 Revision class for the 2023 exams - check it out and buy a ticket here https://www.tickettailor.com/events/bicenmaths/901466?
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
VIDEO LINKS TO TEACH YOU ABOUT THE FORMULAE
COMPLEX NUMBERS - coming soon
SERIES
Whole Chapter: https://youtube.com/playlist?list=PL0SSkmc4r_BbvSikko-pCq6npXh-lCo6G
- Standard Results: https://youtu.be/QttZe-WEJeI
- Starting value not r=1: https://youtu.be/YURPir2KN7Q
ROOTS OF POLYNOMIALS
Whole Chapter: https://youtube.com/playlist?list=PL0SSkmc4r_BbQKME4t6B399fm_9zroHLW
- Sums of Roots, Pairs, etc.: https://youtu.be/dP0aMdHKaws
- Sum of Squares/Cubes: https://youtu.be/3lVdhLKv5HM
- Transformation of Roots: https://youtu.be/JC-Y79eUN1I
VOLUMES OF REVOLUTION - coming soon
MATRICES - PROPERTIES - coming soon
MATRICES - INVERSES - coming soon
MATRICES - SYSTEMS OF EQUATIONS
- Overview: https://youtu.be/wrpDsw2Fqwk
- Checking Consistency: https://youtu.be/6GgNB74wuBA
LINEAR TRANSFORMATIONS
Whole Chapter: https://youtube.com/playlist?list=PL0SSkmc4r_BZoFwMKd3921VPgzElDy-R2
- Invariant Points and Lines part 1: https://youtu.be/lpbcxskzpEc
- Invariant Points and Liens part 2: https://youtu.be/4p62NMAu_8k
- Area Scale Factor: https://youtu.be/V2rTwyVDcP0
- Successive Transformations: https://youtu.be/4p62NMAu_8k?t=473
- Rotations: https://youtu.be/86Dp5MiW14s
- 3D Rotations and Reflections: https://youtu.be/J3S2P-r8FM4?t=667
- Undoing Transformations: https://youtu.be/RxzmNOHy6Nk
PROOF BY INDUCTION
Whole Chapter: https://www.youtube.com/playlist?list=PL0SSkmc4r_BZoFDs2NePy1kzQAqdKWU5y
- Divisibility: https://youtu.be/oi_q1W9b5q4
VECTORS - DEFINITIONS
Whole Chapter: https://www.youtube.com/playlist?list=PL0SSkmc4r_BbrEP3ZWnXICwmEztqk7j6y
- Scalar Dot Product: https://youtu.be/hiD7iLGyOF0
- Vector Line Equation: https://youtu.be/rOssZkVg5KU
- Cartesian Line Equation: https://youtu.be/9eYwoXIAEik
- Parametric Plane Equation: https://youtu.be/f5w0O1JtZ_o?t=234
- Scalar Product Plane Equation: https://youtu.be/z8fpEsk3uTw
- Cartesian Plane Equation: https://youtu.be/f5w0O1JtZ_o?t=1176
VECTORS - ANGLES
Whole Chapter: https://www.youtube.com/playlist?list=PL0SSkmc4r_BbrEP3ZWnXICwmEztqk7j6y
- Between 2 lines: https://youtu.be/TAeOVQMXshs?t=129
- Between 2 planes: https://youtu.be/TAeOVQMXshs?t=1041
- Between a line and plane: https://youtu.be/TAeOVQMXshs?t=502
VECTORS - INTERSECTIONS
Whole Chapter: https://www.youtube.com/playlist?list=PL0SSkmc4r_BbrEP3ZWnXICwmEztqk7j6y
- 2 lines: https://youtu.be/u7ChNYdrm9w
- Line and a plane: https://youtu.be/6Id9jocGyT0
- 2 planes: https://youtu.be/QYhARNXFXnQ
VECTORS - SHORTEST DISTANCES
Whole Chapter: https://www.youtube.com/playlist?list=PL0SSkmc4r_BbrEP3ZWnXICwmEztqk7j6y
- Point and a line: https://youtu.be/etITWNfO1DQ
- Parallel lines: https://youtu.be/j1H6XrZ8kQU
- Skew lines: https://youtu.be/DfGeM-_f-sY
- Point and a plane: https://youtu.be/-Rmlhg0fIe4
- 2 parallel planes: https://youtu.be/-Rmlhg0fIe4?t=304
VECTORS - REFLECTIONS
Whole Chapter: https://www.youtube.com/playlist?list=PL0SSkmc4r_BbrEP3ZWnXICwmEztqk7j6y
- Point in a plane: https://youtu.be/sNHC9Q_NCNs
- Line in a plane: https://youtu.be/Bmv3zYQUsSU
CONTENTS:
0:00-1:22 Why you SHOULD memorise these facts
1:22-3:35 Complex Numbers and Loci
3:35-4:44 Series
4:44-6:40 Roots of Polynomials
6:40-7:21 Volumes of Revolution
7:21-8:09 Matrices - properties
8:09-12:10 Matrices - inverses
12:10-14:33 Matrices - systems of equations
14:33-18:00 Linear Transformations
18:00-19:32 Proof by Induction
19:32-21:51 Vectors - definitions
21:51-23:20 Vectors - angles
23:20-25:12 Vectors - intersections
25:12-27:10 Vectors - shortest distances
27:10-28:28 Vectors - reflections
28:28-29:33 Outro