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Prior Knowledge: th-cam.com/video/Ti4IHPiEYqY/w-d-xo.htmlsi=UrANuf0lchnJWLXj th-cam.com/video/ja_yb51BdME/w-d-xo.htmlsi=T6UqIlO_3akg0HGz th-cam.com/video/tRBSENpi5gE/w-d-xo.htmlsi=cdYWnh8fn8z0Jprh 00:00 Overview 00:31 Properties Useful for Vector Proofs 06:20 Vector Proof in 2D (Diagonals of a Rhombus are Perpendicular) 10:20 Vector Proof in 3D (Midpoint Theorem for Quadrilaterals)

Prior Knowledge: th-cam.com/video/Ti4IHPiEYqY/w-d-xo.htmlsi=K91nDw77nArtLKYj 00:00 Overview 00:32 What is Collinearity? 01:55 Properties of Collinearity

Prior Knowledge: th-cam.com/video/Ti4IHPiEYqY/w-d-xo.htmlsi=4mOCHbW0I8DQJwIx th-cam.com/video/Jft5KgQwh1A/w-d-xo.htmlsi=yKNQaQcwugn2MNqx th-cam.com/video/ja_yb51BdME/w-d-xo.htmlsi=XZwueXpSWnuhwYg9 th-cam.com/video/R-mmBd854-c/w-d-xo.htmlsi=mpn9YuTJIBDcV0vR 0:00 Overview 0:40 Vector Resolute 6:59 Scalar Resolute

Prior Knowledge: th-cam.com/video/Ti4IHPiEYqY/w-d-xo.htmlsi=QbCvgWJb95ZyG5Ae th-cam.com/video/Jft5KgQwh1A/w-d-xo.htmlsi=5_OCgybXrlsuSF_m th-cam.com/video/R-mmBd854-c/w-d-xo.htmlsi=UqEV_AnePcHoG9FK Proof of the Dot Product: th-cam.com/video/hfFrWiyl7y4/w-d-xo.htmlsi=7dhXZq18dVguCSuw 0:00 Overview 0:42 Definition of the Dot/Scalar Product 03:28 Geometric Definition of the Dot Product 06:03 Proper...

Prior Knowledge th-cam.com/video/Ti4IHPiEYqY/w-d-xo.htmlsi=07xsTBPZd9gIsl8e th-cam.com/video/R-mmBd854-c/w-d-xo.htmlsi=dhY7cbNNpMQbsaTV 0:00 Overview 0:47 Resolving a Vector into Rectangular Components 05:30 Vector Resolution in 2D 06:32 Vector Resolution in 3D 07:54 Basic Operation on Vectors 10:37 Angle made by Vector and Axes

Basic Operations with Vectors: th-cam.com/video/KhhIljUtm8E/w-d-xo.html More Vector Videos: th-cam.com/play/PLB46vjmEuCC3ucWPSJr_DyiOx19dyUAQb.html 0:00 Overview 01:18 What is a Vector? 02:28 Magnitude of the Vector 03:37 Vector Addition 05:14 Scalar Multiplication and the Zero Vector 06:54 Vector Subtraction 08:25 Parallel Vectors 10:15 Position Vectors 12:43 Basic Operations with Vectors 14:0...

Prior Knowledge th-cam.com/video/FwGRZQXwXUQ/w-d-xo.htmlsi=9OZ3TBWhFz4z7VZO th-cam.com/video/99ahQcLVsuA/w-d-xo.htmlsi=09QKGtraLS_WZAF2 0:00 Overview of Sum and Product of Sine and Cosine 00:53 Product to Sum Trig Identities 05:18 Sum to Product Trig Identities

Prior Knowledge th-cam.com/video/FwGRZQXwXUQ/w-d-xo.htmlsi=9zU3lJ-u_z7qQ_zl th-cam.com/video/z6CY-hpug0o/w-d-xo.htmlsi=rli_ChdRzYE7Coqq th-cam.com/video/99ahQcLVsuA/w-d-xo.html th-cam.com/video/P53egv5KfOY/w-d-xo.htmlsi=uyeKMDNcfmd7TpYa th-cam.com/video/D-k_ev3_iBw/w-d-xo.htmlsi=ac4XlJn8UxNqwI_E 0:00 Solving Equations Overview 01:24 General Solution to Trig Equations Review 05:55 Solving Recipr...

Prior Knowledge th-cam.com/video/FwGRZQXwXUQ/w-d-xo.html th-cam.com/video/_DAy_Ez36vQ/w-d-xo.htmlsi=OjMhR1CW_THBl-0r th-cam.com/video/zQrdqsnzONQ/w-d-xo.htmlsi=7DS0XrnqE1ol7pUT th-cam.com/video/_DAy_Ez36vQ/w-d-xo.htmlsi=Bqs20Bh1NH4tvPnF 0:00 Inverse Circular Functions Overview 0:36 Inverse Sine Function 3:59 Inverse Cosine Function 5:56 Inverse Tangent Function 7:57 Transformations of Inverse C...

th-cam.com/video/hF4tQbWr9Js/w-d-xo.htmlsi=NxaLHnkFuWbohiHb 0:00 Overview 0:42 Demonstration of Compound Angle Formula 4:12 Double Angle Formula Proof 7:18 VCE Specialist Maths Circular Functions Formula Sheet

Still can't spell...reciprocal Prior Knowledge th-cam.com/video/FwGRZQXwXUQ/w-d-xo.html 0:00 Reciprocal Circular Functions Overview 0:50 Cosecant Function 5:50 Secant Function 8:30 Cotangent Function 12:41 Pythagorean Identity for Reciprocal Circular Functions

At 1:20 I said "real numbers" but I should have said "natural numbers".

I said "sum" a few times around the 3:15 mark when I should have said "product". Hopefully still makes sense.

Why I Quit Mathematics Teaching...

Proof by Induction for Sums

Proof by Induction for Divisibility Rules

VCE Specialist Maths 3&4: Proof by Induction (Lect.13/95)

VCE Specialist Maths 3&4: Telescoping Series (Lect. 12/95)

VCE Specialist Maths 3&4: Proving Inequalities (Lect.11/95)

VCE Specialist Maths 3&4: Quantifiers and Counter Examples (Lect.10/95)

VCE Specialist Maths 3&4: Logic and Proof (Lect.9/95)

VCE Specialist Maths 3&4: Algorithms and Pseudocode (Lect. 8/95)

VCE Specialist Maths 3&4: Parametric Equations (Lect. 7/95)

VCE Specialist Maths 3&4: Ellipses and Hyperbolas (Lect. 6/95)

VCE Specialist Maths 3&4: Circles (Lect. 5/95)

VCE Specialist Maths 3&4: Modulus Function (Lect. 4/95)

Challenging Quadratic Problem

VCE Specialist Maths 3&4: Sequences and Series (Lect. 3/95)

VCE Specialist Maths 3&4: Sine and Cosine Rule (Lect. 2/95)