Review topics include: Finding the average value of a function by using an integral expression, applying the Mean Value Theorem to find a value on an interval where the average rate of change equals the instantaneous rate of change, using limits to express the end behavior of a function, and applying the Candidates Test to find the maximum value of a function. Duration: 48:32
Review topics include: Graphing polar curves, evaluating the derivative of a polar equation at an angle value (which is not the same thing as the slope of the graph at a point), finding the intersections of polar curves (by hand and using technology), calculating the area between two polar graphs, using the Candidates test to find the maximum distance of a point on a polar curve from the y-axis (including advanced Desmos techniques), and applying related rates to a polar equation to find the rate at which the distance from the origin/pole is changing with respect to time. Duration: 48:21
Review topics include: Using the average rate of change over an interval to approximate the instantaneous rate of change at a point, applying the Intermediate Value Theorem to justify that a continuous function attains a value over a closed interval, using a trapezoidal Riemann sum on a table of values to approximate the value of a definite integral, and using an integral expression as an accumulated rate of change. Duration: 30:32
Review topics include: Using FTC to find the derivative of an accumulation function, which contains a definite integral, finding points of inflection using the graph of a derivative, evaluating an accumulation function by geometrically finding the area beneath a curve, and using the Candidates Test to justify the location of an absolute minimum value of a function. Duration: 34:32
Review topics include: Given the first derivative of a function, find the second derivative implicitly using the product and chain rules, write a second degree Taylor polynomial centered at x=1, use the Lagrange error bound to show that a Taylor polynomial approximation differs from the actual function value by a certain amount, and use Euler's method with two step sizes to approximate the value of a function. Duration: 31:21
Review topics include: Using the Ratio Test to find the interval of convergence of a Taylor series, testing the endpoints of an interval of convergence, term-by-term differentiation of a Taylor series, finding the sum of an infinite geometric series as a rational function, and the convergence/divergence of a Taylor series. Duration: 36:49