Minimum and Maximum Values In this section we will take a look at some of the basic definitions and facts involving minimum and maximum values of functions. Finding Absolute Extrema Here is the first application of derivatives that well look at in this chapter. We will be looking at increasing/decreasing functions as well as the First Derivative Test. The Shape of a Graph, Part II In this section we will look at the information about the graph of a function that the second derivatives can tell us.
This section usually gets a quick review in my class. Review : Solving Trig Equations A reminder on how to solve trig equations. This section is always covered in my class. World Web Math Linked collection of calculus explanations from MIT. Wikipedia Entry on calculus in the online encyclopedia. Many links to specialized topics. Calculus Tutorials and Problems Free interactive tutorials on clauclus topics, including Mean Value Theorem, Runge Kutta, Fourier Series. Higher Order Derivatives Here we will introduce the idea of higher order derivatives. Logarithmic Differentiation The topic of logarithmic differentiation is not always presented in a standard calculus course. It is presented here for those who are interested in seeing how it is done and the types of functions on which it can be used. Many links to specialized topics. Wyzant has a collection of calculus explanations on selected topics from precalc through vectors. Calculus videos: IntegralCalc : has numerous short videos on calculus topics. Brought to you by Krista King. You can download it if you like. Some Java applets : A collection of Java applets illustrating concepts of calculus. Calculator. Org : A scientific calculator. Applications of Calculus: Calculus and Society, History etc: Commercial Calculus Products: Help With Math : Offers MathXpert software to help learn precalculus and calculus.