Simple Harmonic Motion with 2 examples

Simple Harmonic Motion other formula + example

Constant forces and Newton's laws

Linear motion with constant and non-constant acceleration

Basic complex number identities involving modulus and argument

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

Circle proof 10: The tangent-secant theorem.

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

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

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

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

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

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

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

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

Methods of proof - direct, contradiction, contraposition

Simple divisibility proof example

Conditional statements ("implies")

Language of proof: Negation and quantifiers

Determine the transformation matrix from non-standard points

Composition of transformations

Markov matrices

Leontief matrices

Leslie matrices

Dominance matrices

Matrix multiplication

Basic matrix arithmetic

Adjacency matrix

Intro to matrices

Solving simple (2x2) matrix equations