### Calculus To print a copy of the notes, watch a step by step video of the notes or to print worksheet click on the link below for the individual chapter.Enlarge a graph from the book click here.Course Outline: Chapter P: Prepartions of CalculusGraphs and ModelsLinear Models and Rates of ChangeFunctions and Their GraphsFitting Models and DataTransformationsEquations and InequalitiesRelations, Functions and InversesChapter 1 Limits and Their PropertiesEstimate a limit using numerical and graphical techniquesLearn different ways a limit can fail to existUse the formal definition of a limitEvaluate a limit using properties of limitsEvaluate a limit using cancellation and rationalizationEvaluate a limit using the squeeze theoremDetermine continuity at a point and on an open intervalDetermine one-sided limits and continuity on a closed intervalUnderstand and use the Intermediate Value TheoremDetermine infinite limits Find and sketch the vertical asymptotes of a functionFind the slope of a tangent line to a curve at a pointChapter 2 DifferentiationUse the limit definition to find the derivative of a functionUnderstand the relationship between differentiability and continuityFind the derivative of a function using the constant, power, constant multiple, and sum and difference rulesFind the derivative of the trigonometric functionsUse derivatives to find rates of changeFind the derivative using the product and quotient ruleFind the higher order derivative of a functionFind the derivative of a composite function using the chain ruleUse implicit differentiationFind related rates and use to solve real-life problemsChapter 3 Applications of DifferentiationUnderstand relative and absolute extremaFind extrema on a closed intervalUnderstand and use Rolle’s Theorem and the Mean Value TheoremRecognize the situations where the derivative is neededUse the derivative to determine intervals of increasing, decreasing, concave up, and concave down.Use the first and second derivative test to find relative extremaFind points of inflectionDetermine horizontal asymptotes if anyAnalyze and sketch the graph of a functionSolve applied minimum and maximum problemsWrite the general solution to a differential equationChapter 4 IntegrationUse indefinite integral notation for antiderivativesUse basic integration rules to find antiderivativesFind a particular solution of a differential equation. write the general solution of a differential equation.Use sigma notation to write and evaluate a sum.Find the area of a plane region using limits.Evaluate a definite integral using limits of a Riemann sum.Evaluate a definite integral using the Fundamental theorem of Calculus.Find the average value of a function over a closed interval.Use the Substitution method to evaluate a definite integral.Chapter 5 Logarithmic, Exponential, and Other Transcendental FuntionsFind the derivative of the exponential and logarithmic functionsFind the integral of the exponential and logarithmic functionsFind the derivative of the Bases Other Than e and Applications Find the derivative of the Inverse Trigonometry FunctionsFind the integral of the Inverse Trigonometry FunctionsStand and Deliver Movie