Although it may not always be obvious, calculus is a part of our daily lives. Various fields such as
engineering, medicine, biological research, economics, electronics, statistics and more benefit from the use of calculus. Calculus measures the rate of change that occurs in almost every phenomenon around us. There are two branches of calculus – integrals and derivatives. The derivative component of a mathematical function defines the rate of change at a specific point, whereas integrals show the accumulation of discrete values of a function over a range.

Common examples of use of calculus in our day-to-day life are calculus is used to calculate heat loss in buildings, forces in complex structural configurations, and structural analysis in seismic design requirements.

The purpose of precalculus is to ensure that the student has the necessary mathematical foundation to study calculus.

## We cover the following topics as a part of our Pre-Calculus curriculum.

• Limits and continuity
• Differentiation: basic rules
• Differentiation: composite, implicit and inverse functions
• Contextual applications of differentiation
• Applications of derivatives to analyze functions
• Integration and accumulation change
• Differential equations
• Applications of integration
• Parametric equations, polar coordinates, and vector-valued functions
• Infinite sequences and series