Review topics include: Using average rate of change to approximate instantaneous rate of change, Left Riemann sum from a table of values, average value of a function, accumulated rate of change, and using the derivative to determine whether a function is increasing or decreasing on an interval (specifically, using the second derivative to see if the first derivative is increasing or decreasing). Duration: 36:16
Review topics include: Curvilinear motion, parametric equations, horizontal and vertical velocities, speed using parametric equations, total distance using parametric equations, finding final position using initial condition and the integral of a velocity function, downward motion as a negative vertical velocity. Duration: 28:15
Review topics include: Sketching a solution curve through a slope field, finding critical points, justifying relative extrema with the First and Second Derivative Tests, using implicit differentiation to find the second derivative of a differential equation, using a separation of variable to solve a differential equation, and finding the constant of integration using an initial condition. Duration: 35:05
Review topics include: Accumulation functions, evaluating definite integrals using area, Fundamental Theorems of Calculus (Plural), finding critical points from the graph of a derivative, using slope to find a derivative, and concavity (specifically of a line). Duration: 21:57
Review topics include: Fundamental Theorem of Calculus (derivative of a integral expression), arc length of a function on an interval, using Euler's method to approximate a function value, integration by parts. Duration: 25:47
Review topics include: Maclaurin series, radius of convergence, endpoint convergence, Direct/Limit Comparison Tests, Alternating Series Error Bound, derivative of a power series and its radius, Ratio Test. Duration: 37:37