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The handouts distributed and used in Tuesday recitation sections are listed in the table below.

Click on the title of the handout to download a copy in PDF format.

Date	Title	Summary
August 26	Reversing the Chain Rule	Identifying "inside" and "outside" functions Creating antiderivatives by reversing the Chain Rule for Derivatives
August 26	U-substitution	Identifying good choices for "u" Completing the steps in the process of u-substitution Calculating antiderivatives in a systematic way
September 2	Trigonometry formulas	Useful identities Integration and differentiation formulas for trigonometric functions
September 2	Evaluating trigonometric integrals	Determining what "trick" will be helpful for each integral Making appropriate substitutions and simplifications Using integration formulas and integration techniques to find antiderivatives
September 9	Setting up and evaluating Riemann sums on a TI-84 calculator	Understanding what a Riemann sum is Being able to write down a Riemann sum using sigma notation Being able to translate sigma notation into the summation notation used by a TI-84 calculator Being able to evaluate Riemann sums on a TI-84 calculator
September 16	Convergence and divergence of improper integrals - graphical comparisons	Understanding the concept of determining convergence or divergence by comparison Using graphs to determine the convergence or divergence of an improper integral Using graphs in connection with techniques of integration to determine the convergence or divergence of an improper integral
September 16	Convergence and divergence of improper integrals - algebraic comparisons	Understanding the concept of determining convergence or divergence by comparison Being able to make an educated guess about convergence or divergence based on the algebraic structure of an integrand Being able to find a known improper integral to compare to an unknown improper integral Being able to construct an algebraic argument for the comparison of two functions and their improper integrals
September 23	Calculating a volume of revolution Solutions for volume activity	Envisioning a three dimensional volume of revolution based on a two dimensional drawing Setting up and evaluating integrals to calculate a volume of revolution Using Archimedes' Principle to solve a problem in Naval Architecture
September 30	Calculating the center of mass	Creating an object that has a center of mass that can be calculated Setting up and evaluating integrals to find the center of mass Measuring the required physical parameters of the object to complete the calculation Checking the accuracy of the calculations by measuring the location of the center of mass empirically
October 7	Creating a differential equation to model the spread of a disease Displaying and managing data on a TI-84 calculator	Collecting data from an activity that simulates the spread of a disease Understanding the concavity of the data obtained from the activity Approximating derivatives based on the data from the activity Creating a differential equation to model the spread of the disease in the activity
October 14	Solving first order differential equations Solving second order differential equations	Recognizing when to use separation of variables and when to use integrating factors Using separation of variables to solve a differential equation Using an integrating factor to solve a differential equation Finding and solving the characteristic equation for a second order homogeneous equation with constant coefficients Using the roots of the characteristic equation to find a formula for the solution of a second order equation Using initial conditions to find the values of arbitrary constants in solutions of differential equations
October 21	The Method of Undertermined Coefficients	Finding and solving the characteristic equation for a second order homogeneous equation with constant coefficients Using the roots of the characteristic equation to find a formula for the solution of a second order equation Constructing a particular solution for a nonhomogeneous second order differential equation Using the nonhomogeneous differential equation to determine the coefficients in the particular solution Adding the homogeneous and particular solutions to create a general solution for a nonhomogeneous differential equation Using initial conditions to find the values of arbitrary constants in solutions of differential equations
October 28	Calculating monthly mortgage payments Solutions	Understanding some of the factors that go into computing the monthly payment on an American mortgage Setting up a finite geometric series Using geometric series summation formula Determining the total amount paid (not counting inflation) on a fixed-interest, fixed-duration mortgage Understanding the effect of the size of the downpayment on the total amount repaid over the life of the loan Understanding the effect of the duration of the loan on the total amount repaid over the life of the loan
October 28	Calculating the maximum safe dose of ProzacTM Solutions	Setting up an infinite geometric series Using geometric series summation formula
October 28	Notes on geometric series	Definitions of finite and infinite geometric series Summation formulas for finite and infinite geometric series
November 4	Practice with convergence/divergence tests Solutions	Convergence and divergence of series (finite and infinite) The nth term test for divergence The integral test for convergence and divergence The ratio test for convergence and divergence The comparison test for convergence and divergence Using p-series with the comparison test for convergence and divergence
November 11	Using Taylor polynomials to approximate the solution of an initial value problem Solutions	Drawing slope fields Using slope fields to sketch an approximate graph of the solution of an initial value problem Using a differential equation to determine the coefficients in a Taylor polynomial Investigating the length of the interval over which the solution of an initial value problem can be approximated by a Taylor polynomial
November 18	Practice finding the interval and radius of convergence for a power series Review of open and closed intervals and interval notation Solutions for Handout 17 The solutions provided here for Handout 17, Problem (d) are somewhat vague when determining the end-points of the interval of convergence. See if you can use the results of a real mathematical research paper (click to access) to show more rigorously that the power series does converge at x=-5.25 and does not converge at x=-4.75.	Using the ratio test to calculate the radius of convergence for a power series Locating the end-points of the interval of convergence of a power series Using convergence tests to determine whether or not a power series converges at the end-points of the interval of convergence Writing intervals of convergence using correct interval notation
December 2	Finding formulas for parametric equations and drawing parametric curves Review of finding trigonometric formulas for sinusoidal functions Solutions for Handout 19	Creating graphs of x(t) and y(t) for a parametric curve Creating graphs for x(t) and y(t) corresponding to a parametric curve Drawing a parametric curve in the xy-plane given graphs of x(t) and y(t).