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#### 2019/2020 - Topics for the Calculus I Final Exam

posted Jan 1, 2020, 6:26 AM by Matthew Grenfell   [ updated Jan 1, 2020, 10:57 AM ]

 Calculating limits algebraically, using limit laws, and using graphsContinuityLimit definition of the derivativeGraphs of functions vs. their derivativesEquations of tangent linesProduct/Quotient/Chain RulesTrig function derivativesImplicit differentiationAbsolute max/min valuesThe Mean Value TheoremInflection pointsL'Hospital's RuleAntiderivativesRelationship of position/velocity/accelerationIntegrals as areaFund Thm of Calculus, evaluating definite integralsu-substitutionArea between curvesVolumes using disksHorizontal and vertical asymptotesOther limits at infinityTypes of discontinuitiesLogarithmic differentiationRelated RatesOptimizationGraphing functions using their derivativesRiemann sumsInterpreting values of definite integrals and/or Net Change Thm

#### UConn Course Syllabi

posted Sep 5, 2019, 12:55 PM by Matthew Grenfell

 Although only one of these are applicable for the fall semester, I am posting the syllabi for both UConn courses for this year. They can be found in the "Forms and Docs" section of this site, or by clicking the links below:

#### 2019/2020 - Topics for the Calculus 2 Final Exam

posted May 14, 2019, 4:20 AM by Matthew Grenfell   [ updated Jun 3, 2020, 3:51 AM ]

 Use integration by parts to evaluate integrals Evaluate trigonometric integrals (e.g., integrate sin^3(x), sec^2(x)tan^2(x), and so on) Evaluate integrals by making trig substitutions Evaluate integrals using partial fractions Determine the convergence/divergence of improper integrals and evaluate if convergent Use various tests to determine the convergence/divergence of series, including the integral test, comparison tests, and ratio test Determine the convergence/divergence of a geometric series or alternating series Determine a power series representation of a given function Determine the radius of convergence and interval of convergence for a power series Determine a Maclaurin or Taylor series representation of a function Determine a Taylor polynomial of a certain degree for a given function Determine the solution of a separable differential equation Graph curves defined by parametric equations Determine the derivative at a point on a parametric curve Describe and work with points and curves in polar coordinates Determine areas of common regions using polar coordinates More integration by parts Approximate integration techniques (Midpoint Rule, Trapezoidal Rule, Simpson's Rule) Sequences More power series/Taylor series (preferably deriving a Taylor series from scratch) Approximating error of an integration technique or Taylor polynomial More on parametric curves and calculus with parametric equations

#### WeBWork

posted Sep 3, 2017, 5:44 PM by Matthew Grenfell   [ updated May 14, 2019, 4:24 AM ]

 Most of our homework will be done using the WeBWork server; click the following link to get started: http://webwork.grenfellmusic.net

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