Limits, derivatives, integrals, and differential equations: the first full year of college calculus.
Limits and Continuity
What a function approaches, and when it actually gets there.
Differentiation
Rates of change, and the rules that make them fast to compute.
Integration and Accumulation
Adding up infinitely many tiny pieces, and how that connects back to derivatives.
Differential Equations
Equations about rates, and the functions that satisfy them.