Planning to cover:

Precalc

• TRIG
• Proofs
• proof by induction
• proof by strong induction
• logs
• angle sum identities
• double angles
• partial fractions
• sine rule
• cosine rule
• graphs of trig functions

Limits

• Limits and Continuity
• One Sided Limits
• Worked solutions

Derivatives

• Fundementals
• Derive it from first principle
• Rules
• Higher order derivatives
• Application
• Related rates
• More stuff

Integrals

• Fundementals
• Indefine Integral
• Definite Integral
• Different rules
• IBP
• Numeric Integrals
• Simpson's rule
• Slope's field
• Application
• Solids area
• More stuff
• Integrating with respect to y
• Changing the limits of Integration
• U sub
• TBD

Hyperbolic Functions

• Osborn's Rule
• Hyperbolic derivatives
• Hyperbolic Integrals

Recap:

• Implicit functions explicit functions
• Function composition

Differential Equations

• First order linear
• Initial Value Problems
• TBD

Summation

Series and Sequences

Complex numbers

• General form and Polar Form of Complex Numbers
• Complex Conjugate
• Argand Diagram
• Complex Numbers as Roots of Cubic Equations
• De Moivre's Theorem
• Proof of De Moiivre's Thereom

Limits of Finite Sums

Geometry

Squeeze theorem