These are what you are expected to be able to solve BEFORE undergoing university education.

## Differential Calculus

## Integral Calculus

## Annoying Integral Calculus

## Complex Numbers

- in Polar Coordinates = ?
- in Polar Coordinates = ?
- in Polar Coordinates = ?
- graphical
- graphical
- graphical
- graphical
- graphical
- Solve for z.
- Solve for z.
- Solve for z.
- Solve for z.
- Solve for z.

## Trigonometry

- Simplify
- Simplify
- Simplify
- Simplify

## Vector Calculus

Let .

Let .

Let .

- What is the angle between and ?
- Represent the plane that contains both and by using the normal vector of the plane.
- Given a triangle ABC [A(-2,-10), B(8,0), C(-8,8)], determine the height cross points and the equation for the outer circle.

## Greek Alphabet

- α,Α Alpha
- β,Β Beta
- γ,Γ Gamma
- δ,Δ Delta
- ε,Ε Epsilon (there are more)
- ζ,Ζ Zeta
- η,Η Eta
- ϑ,θ,Θ Theta
- ι,Ι Iota
- κ,Κ Kappa
- λ,Λ Lambda
- μ,Μ My
- ν,Ν Ny
- ξ,Ξ Xi
- o,O Omikron
- π,Π Pi
- ρ,Ρ Rho (there are more)
- σ,Σ Sigma
- τ,Τ Tau
- υ,Υ Ypsilon
- φ,ϕ,Φ Phi
- χ,Χ Chi
- ψ,Ψ Psi
- ω,Ω Omega

## Mathematical Symbols (don't need to know all of them, but at least the names of most)

- Nabla
- Quabla
- Sum
- Integral (continuous sum)
- Absolute value
- Body of real numbers
- body of complex numbers
- for all
- there exists
- H-bar
- vector a
- scalar product
- expected value (or scalar product)
- Laplace
- Partial derivation
- Product
- closed loop integral
- Norm (length) of x
- infinity
- scalar product

Author:
FS TPH

Last modification on: Sat, 04 May 2024
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