## Improper Integrals

In this lecture I explain what an improper integral is, and how to evaluate it, and how to determine if the area under the curve is finite or infinite....

From Milan Sherman

In this lecture I explain what an improper integral is, and how to evaluate it, and how to determine if the area under the curve is finite or infinite....

From Milan Sherman

In this lecture I discuss how to use L'Hoptial's Rule to evaluate indeterminate limits....

From Milan Sherman

In this video lecture I explain the technique of integrating using trig substitution, and demonstrate with two examples....

From Milan Sherman

In this lecture I derive the method of cylindrical shells for finding the volume of a solid of revolution as an application of integration...

From Milan Sherman

In this lecture I derive the formula for the disk method of finding the volume of a solid of revolution, and demonstrate some examples of how to use it....

From Milan Sherman

In this video I Introduce the math software GeoGebra, and demonstrate how to use it to approximate the area under a curve using the Midpoint and Trapezoidal Rules....

From Milan Sherman

In this lecture I discuss differential equations that have exponential models as the solution, and demonstrate some applications....

From Milan Sherman

In this video I explain how to get started using GeoGebra...

From Milan Sherman

In this lecture I describe a method for solving differential equations....

From Milan Sherman

In this video I discuss what a slope field is and how to generate one from a differential equation....

From Milan Sherman

In this lecture I introduce what a differential equation is, and what it means for a function to be a solution to a differential equation....

From Milan Sherman

In this lecture I discuss how to identify the structure and integrate functions resulting in inverse trig antiderivatives....

From Milan Sherman

In this lecture I discuss how to use substitution for integrals that results in log function antiderivatives....

From Milan Sherman

In this video I demonstrate how to prove the Parallel and Perpendicular Lines Theorem....

From Milan Sherman

In this video lecture, I introduce the Root and Ratio Test for convergence of infinite series, and demonstrate a few examples of how to use them....

From Milan Sherman

In this video I describe how to determine the convergence or divergence of an alternating series, and how to estimate the infinite sum to a desired degree of accuracy....

From Milan Sherman

In this video I introduce the Comparison and Limit Comparison Tests for convergence of infinite series....

From Milan Sherman

In this video I introduce the Integral Test for convergence of infinite series....

From Milan Sherman

In this video I introduce infinite series, convergence and divergence, and discuss two special types of series, geometric series and telescoping sums....

From Milan Sherman

In this video I explain how to find the surface area of a curve rotated around the x-axis via integration....

From Milan Sherman

In this video I describe how to use integration to find the area between two curves....

From Milan Sherman

This video demonstrates how to use the arclength formula on a specific example...

From Milan Sherman

This video describes the derivation of the arclength formul...

From Milan Sherman

This video contains three examples of using the Integration by Substitution technique....

From Milan Sherman

Introduction to the Substitution Method of Integration...

From Milan Sherman

Bradley Wiggins has broken the hour record! Click here to subscribe to GCN: http://gcn.eu/SubscribeToGCN Sir Bradley Wiggins took the hour record, despite adverse air pressure conditions. So, could he have gone further? We talk about that, and other thi...

From Milan Sherman

...

From Milan Sherman

This brief video shows how to graph a sequence and cumulative sequence in GeoGebra....

From Milan Sherman

Efterklang & The Danish National Chamber Orchestra - Cutting Ice To Snow (live) (taken from Performing Parades, 2009) http://efterklang.net https://facebook.com/pages/Efterklang/36831868666 http://twitter.com/efterklang http://theleaflabel.com/efterklang...

From Milan Sherman

In this lecture I discuss the economics concept of elasticity of demand, and demonstrate how it can be modeled mathematically. I also go through an example of how to find the point of unit elasticity for a given demand function, and discuss its relations...

From Milan Sherman

In this lecture I describe applications of the derivative to business and economic situations. Three examples are worked out to demonstrate how to apply calculus to maximizing or minimizing business functions....

From Milan Sherman

In this video I explain how the first derivative can be used to find the relative maxima or minima of a function....

From Milan Sherman

In this video I discuss the relationship between the derivative of a function and where it is increasing or decreasing. The critical point of a function is defined with examples, and I also demonstrate how to find the intervals of increase or decrease of ...

From Milan Sherman

In this video I demonstrate how to solve related rates problems by doing a few examples and discussing some general approaches to solving these sorts of problems....

From Milan Sherman

In this video I work through an example of computing marginal cost....

From Milan Sherman

In this video I describe what marginal cost, revenue, and profit are, and how to use the derivative to find them....

From Milan Sherman

In this video I discuss the idea of average rate of change of a function, and an application of this idea to average velocity....

From Milan Sherman

The development of non-Euclidean geometry is often presented as a high point of 19th century mathematics. The real story is more complicated, tinged with sadness, confusion and orthodoxy, that is reflected even the geometry studied today. The important in...

From Milan Sherman

In this lecture I explain how to solve applied optimization problems by working three examples and discussing general strategies than can be used for these types of problems....

From Milan Sherman

In this lecture I state and explain the second part of the Fundamental Theorem of Calculus, and demonstrate some applications of it, including the Net Change Theorem....

From Milan Sherman

In this lecture I state and explain the first part of the Fundamental Theorem of Calculus, and demonstrate some applications of it, including the Mean Value Theorem for Integrals....

From Milan Sherman

In this lecture I derive the definition of the definite integral using upper and lower sums, and ultimately using Riemann sums. I also discuss the relationship between the area under a curve and the definite integral....

From Milan Sherman

In this lecture I discuss how to evaluate limits at infinity, what they mean, and how they are related to horizontal asymptotes. I also discuss the end behavior of a variety of common functions....

From Milan Sherman

In this lecture I discuss the properties of the definite integral and show some examples of how to apply them....

From Milan Sherman

In this lecture I discuss the idea of an antiderivative, how to find common antiderivatives, and how to solve basic differential equations....

From Milan Sherman

In this lecture I discuss the idea of tangent line approximations to a function and define a differential in that context. I conclude with a few example....

From Milan Sherman

In this lecture I discuss how to find the derivative of a composition of functions using the Chain Rule, and provide a few examples of how to use the Chain Rule....

From Milan Sherman