Some basic 'factual knowledge'

This knowledge is either assumed (a course pre-requisite) or listed as factual knowledge learning objectives. Note: this list is not exhaustive - have a look at other 'factual' knowledge in the learning objectives - things that ask you to state, list, define, identify, recognize, etc.

Geometry

All of the various ways of writing equations of lines
How to find a perpendicular line to a given line
Equations of basic curves in the plane: lines, parabolas, circles

Trigonometry

Definition of the basic trig functions
- In terms of right triangles; the unit circle
- Definition of tan, sec, csc, cot in terms of sin, cos
Basic properties of sine, cosine:
- Period, zeros, even/odd
- Values for 45 degree ( $\pi /4$ ) and 30 degree ( $\pi /6$ ) triangles (the "basic" triangles)
Trig identities
- Addition formula for sine and cosine (can you compute sine and cos for multiples of angles of the "basic" triangles)
- Pythagorean formula ( $sin^{2}+cos^{2}=1$ )
Derivative of the trig functions
- You must know the derivative of sine and of cosine; the others are VERY USEFUL to know, but remember you can always calculate them using the quotient rule and the definitions

Differentiation

Differentiation rules
- Constant Multiple, Sum, Power, Product, Quotient, and Chain rules. I'm listing these as factual knowledge, but of course you must be able to apply these separately and in combination.
Definition of the derivative of a function - this is conceptual, but in the end you need to understand the meaning of the limit definition. Can you draw a picture to explain it?