Math Concepts/Ideas linked to Dynamical Systems/Iteration: TTH

- Limits, equilibrium

- Asympotes and Converges

- Diverges

- Infinite*

- Sequences

o Convexity

o Oscilates

o Decreasing/increasing

- Limit of function; tangent, slopes

- Lower boundaries (bounds) and upper boundaries

- Or unbound

- Series

- Lower boundaries (bounds) and upper boundaries

- Hooks law – spring oscillation

- Exponential functions

- Concave Up/Down; Convexity –how much change in initial value leads to a change in final value.

- Growth and Decay, modeling population

- Continuity

- Eulers method: solving Diff Eqns with given initial value.

- Resonance, with damping – related to osciallation.

- Parametric equations

- Integration/differential – analysis of function

- Tangent lines/slopes

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