The fundamental theorem for line integrals states that if a line integral passes through a gradient field, it can be evaluated by evaluating the endpoints of the curve in the initial scalar field. If a smooth curve C exi... More »

A survey of calculus class generally includes teaching the primary computational techniques and concepts of calculus. The exact curriculum in the class ultimately depends on the school someone attends. More »

Learners can take calculus courses online through Massachusetts Institute of Technology, San Francisco State University, University of California in Berkeley or Brigham Young University. These courses range from introduc... More »

The midpoint theorem is a theory used in coordinate geometry that states that the midpoint of a line segment is the average of its endpoints. Solving an equation using this method requires that both the x and y coordinat... More »

Find the equation for the tangent line to a curve by finding the derivative of the equation for the curve, then using that equation to find the slope of the tangent line at a given point. Finding the equation for the tan... More »

In general, different types of indefinite integrals require different strategies, and not all indefinite integrals can be solved in a step-by-step manner. The most basic method of finding an indefinite integral is to rew... More »

A comparison theorem is a test of whether or not a mathematical object satisfies a set of predetermined properties. In calculus, a comparison can test if an integral is convergent or divergent. It is useful when one is n... More »