Circular Functions
Circles, Ellipses, Hyperbolae
Reciprocal Circular Functions
Note: There are a couple of arithmetic errors in an example. The process is correct.
Inverse Circular Functions
Graphing Rational Functions

Modulus Function
Parametric Equations
Compound and Double Angle Formulae
Note: There is a domain error in the last part of the last example. The process is correct.
Solving Equations with Sec, Cosec, Cot

Definitions and Properties
Polar Form (modulusargument)
Solving quadratic equations over the Complex Field
Solving Equations using De Moivre’s theorem

Modulus, Conjugate & Division
Operations in Polar form (modulus–argument)
Solving polynomial equations over the Complex Field
Sketching subsets of the complex plane

Chain, Product & Quotient Rules
Derivative of Inverse Circular Functions
Points of Inflection
Rational Functions

Derivative of x = f(y)
Second Derivatives
Related Rates
Implicit Differentiation

Antidifferentiation
Integration by Substitution
Integration using Trigonometric Identities
Integration Review
Area Between Curves
There is an error in the third example for the integration of sin(2x). It should be 1/2cos(2x). It gets fixed in the end.
Volume of Revolution

Antiderivatives of Inverse Circular Functions
Definite Integrals by Substitution
Integration using Partial Fractions
Fundamental Theorem of Calculus (area)
Integration with CAS
Lengths of Curves

Verifying Solutions
Function of the Dependent Variable
Separation of Variables
Using a Definite Integral
Slope (direction) field for a differential equation

Function of the Independent Variable
Applications
Differential Equations with related rates
Euler's Method

Position, Velocity & Acceleration
Velocitytime graphs
Expressions for acceleration

Constant Acceleration Formula
D.E.'s of the form v = f(x) and a = f(v)

Vector Operations & Resolution of Vectors
The notes referred to in the above video are below
Vector Projections (components, resolutes)
Geometric Proofs using Vectors

Scalar (dot) Product of Vectors
Collinearity
Vector functions  Position vectors as function of time
