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• Notes on integral formulas, u-substitution and integration by parts
• Notes on using trigonometric identities to simplify integrals
• Notes on using trigonometric substitutions
• Notes on partial fractions
• Notes on polynomial long division and completing the square
• Notes on the trapezoid and midpoint rules, over and under estimates
• Notes on error estimates and Simpson's rule
• Notes on Simpson's rule, error estimates for Simpson's rule and Type 1 improper integrals
• Notes on Type 2 improper integrals and review for the first unit test
• Final words on Improper Integrals
• Calculating areas between curves, volumes by disks and volumes by shells
• More on calculating areas between curves, volumes by washers and non-rotation volumes
• PowerPoint slides on calculating volumes of revolution
• Notes on the shell method and finding "masses" for objects with variable density
• Notes on calculating forces with hydrostatic pressure and arc length
• Notes on calculating center of mass and work
• Notes on Euler's Method and Slope Fields
• Notes on Equilibrium solutions and Separation of Variables
• Notes on the Logistic Equation, Setting up Differential Equations and Integrating Factors
• Notes on the Integrating Factors and Second Order, Homogeneous Differential Equations with Constant Coefficients
• Notes on the Second Order, Non-homogeneous Differential Equations with Constant Coefficients
• More notes on the Second Order, Non-homogeneous Differential Equations with Constant Coefficients
• Assorted review problems for Unit Test 2
• Notes on the modification rule for the Method of Undetermined Coefficients
• Notes on sigma notation, partial sums and the convergence and divergence of infinite series
• Notes on the n^th Term test, the Integral test and the Ratio test
• Notes on the Ratio test and Comparison Test
• Notes on the Comparison Test and how to compose arguments for convergence or divergence using convergence tests
• Game plan for using convergence tests: Solutions for Handout 13
• Notes on estimating sums of alternating series
• Notes on Taylor series and interval of convergence
• More notes on Taylor series and interval of convergence
• Notes on the errors that occur when approximating a function with a Taylor polynomial
• Assorted review problems for Unit Test 3
• Notes on the concept of parametric equations
• Notes on tangent lines and arc length for parametric equations
• Notes on polar coordinates
• Assorted review problems for the Final Exam (clean copy)
• Solutions for Final Exam review problems