17:39

Representing 2D vectors as directed line segments

12:35

2D column vector notation, magnitude and direction, position vectors

19:18

Proof by mathematical induction for sums

25:03

Simple Harmonic Motion with 2 examples

12:45

Simple Harmonic Motion other formula + example

35:14

Constant forces and Newton's laws

39:23

Linear motion with constant and non-constant acceleration

20:52

Basic complex number identities involving modulus and argument

18:31

Circle proof 9: When two chords of a circle intersect, either inside or outside the circle.

03:07

Circle proof 10: The tangent-secant theorem.

11:18

Circle proof 8: Alternate segment theorem: Angle between tangent and chord.

10:31

Circle proof 7: A tangent drawn to a circle is perpendicular to the radius at the point of contact.

08:31

Circle proof 5: Opposite angles in a cyclic quadrilateral are supplementary.

07:08

Circle proof 4: Angles at the circumference of a circle subtended by the same arc are equal.

06:18

Circle proof 6: Chords of equal length subtend equal angles at the centre, and conversely.

09:43

Circle proof 3: The angle at the centre is twice the angle at the circumference.

10:30

Circle proof 1: A radius drawn perpendicular to a chord bisects that chord.

05:04

Circle proof 2: An angle in a semicircle is a right angle.

28:22

Methods of proof - direct, contradiction, contraposition

09:43

Simple divisibility proof example

19:48

Conditional statements ("implies")

31:13

Language of proof: Negation and quantifiers

08:13

Determine the transformation matrix from non-standard points

10:29

Composition of transformations

14:39

Markov matrices

24:06

Leontief matrices

15:43

Leslie matrices

11:13

Dominance matrices

16:21

Matrix multiplication

07:13

Basic matrix arithmetic

02:09

Adjacency matrix

07:33

Intro to matrices

09:46

Solving simple (2x2) matrix equations

25:33

Matrix determinant and inverse

10:22

Elleisha Specialist Maths Interview

19:10

roots of complex numbers 1 polar form

12:33

roots of complex numbers 2 cartesian form square roots

07:03

roots of complex numbers 3 polar form higher power

24:38

Factorising real quadratics with complex roots

04:41

8 7g image of curve under rotation

03:34

8 7f image of points under rotation

02:33

8 7e rotations

03:12

8 7d reflection of a line

09:03

8 7c reflection about y=x tan θ

01:00

8 7b reflecting points across a line

03:55

8 7a reflections

05:03

8 6e determining the transformation matrix

05:04

8 6d image of a line

01:21

8 6c think about the area

05:53

8 6b image of points under linear transformation

04:04

8 6a linear transformations

01:26

8 5c combining translations

04:07

8 5b translated curve

04:47

8 5a Translations

11:09

7c Sketching a quartic polynomial

05:46

1j Sketching an ellipse

07:32

1h Converting from general form

02:13

1g Converting to general form

07:55

7b Sketching a cubic polynomial

04:26

7a Sketching polynomials