Integration by Parts calculus example.

Video tutorial on how to determine which variable represents the predator population, and which represents the prey population, how to determine if the predator or prey populations are effected by any other food source than the other species (carrying capacity), how to determine whether the system is one of cooperation, competition, or predator-prey, and how to solve the system of differential equations for equilibrium solutions, and then interpret those equilibrium solutions.

Implicit differentiation for partial derivatives of multivariable functions. Video presentation; Learn how to use implicit differentiation to find the partial derivatives of a multivariable function.

Video tutorial on decay problem.

video tutorial on Marginal Cost, Revenue and Profit calculus problem example.

Video Tutorial: Using Riemann sums to approximate the volume that lies above the given rectangular region defined by the given x-interval by the given y-interval, and below the given function. You'll divide the interval into rectangles and then find the coordinate points that define the upper right-hand corner of each of those rectangles. Then you&'ll evaluate the original function at each coordinate point, take the sum of those values, and multiply that sum by delta A, which is the area of one of the rectangles.

Video Tutorial: Learn how to express the repeating decimal as a ratio of integers. You'll change the repeating part of the decimal into a geometric series, then find the sum of the geometric series and use it to find a ratio of integers (fraction of whole numbers) that expresses the repeating decimal.

Use this video to learn about Initial Value Problems.

Increasing, decreasing and not monotonic sequences. Video presentation; Learn how to determine whether a sequence is increasing, decreasing, or not monotonic. We'll also talk about whether we can say that the sequence is bounded above and/or whether it&'s bounded below.

Video tutorial on trapezoidal rule.

Video tutorial on sequences.

Video tutorial on integral calculus.

Video tutorial on integral calculus.

Differential Equation calculus example.

Video tutorial on how to find the Jacobian of the transformation given three equations for x, y and z, all defined in terms of three other variables, u, v and w. Use a 3x3 matrix.

Video on how to describe transformations of functions algebraically, including shifting up, shifting down, shifting left and right, reflecting about the x-axis, reflecting about the y-axis, and vertical stretching and shrinking.

Video tutorial on how to graph transformations of a function. We'll look at vertical shifts, reflections about the x and y axis, and vertical stretching and shrinking.

Video tutorial on how to write a logistic growth equation that models the population over time given the initial population, the carrying capacity, and the population after one year.

Video tutorial on how to find the integral of the product of a higher order sine function and higher order cosine function. In this particular example, we'll talk about the method for finding the integral when sine is even and cosine is odd.

Video tutorial on how to find the integral of the product of a higher order sine function and higher order cosine function. In this particular example, we'll talk about the method for finding the integral when sine is odd and cosine is even.

Video tutorial on how to use the Theorem of Pappus to find the volume of a solid, in this particular case, a right circular cone. Theorem of Pappus tells us that volume is equal to area of the plane region, times the distance traveled by the centroid of the same plane region, if the plane region is revolved around the x-axis.