Tag: numerical calculus

1.7 Numerical integration
As we have seen, the concept of integration is finding the accumulation of one variable multiplied by another (related) variable. In this section, we will explore the practical application of this concept to realworld data, where actual numerical values of variables are used to calculate accumulated sums. In industrial instrumentation, for example, we are often interested in…

1.6 Numerical differentiation in Calculus
As we have seen, the concept of differentiation is finding the rateofchange of one variable compared to another (related) variable. In this section, we will explore the practical application of this concept to realworld data, where actual numerical values of variables are used to calculate relative rates of change. In industrial instrumentation, for example, we are often…

1.5 Symbolic versus numerical calculus
Calculus has a reputation for being difficult to learn, and with good reason. The traditional approach to teaching calculus is based on manipulating symbols (variables) in equations, learning how different types of mathematical functions become transformed by the calculus operations of differentiation and integration. For example, suppose a firstsemester calculus student were given the following…