Accumulation of Change

Definition

Accumulation of change refers to finding the total amount of change over a given interval by integrating a rate function. It involves summing up infinitesimally small changes to determine the overall effect.

Analogy

Think of accumulation of change as tracking your bank account balance over time. Just like how you add or subtract money from your account, we integrate a rate function to calculate the total change in a quantity over a specific period.

Related terms

Rate Function: A rate function describes how a quantity is changing with respect to time or another variable.

Initial Condition: An initial condition represents the starting point for an accumulation problem. It provides information about the value of the quantity at a specific time or position.

Net Change: Net change refers to the difference between two accumulated quantities, taking into account both positive and negative changes that occurred during that interval.