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    Yet Another Calculus Text by Sloughter, Dan

    Published 2007
    Table of Contents: “…1 Derivatives -- 1.1 The arrow paradox -- 1.2 Rates of change -- 1.3 The hyperreals -- 1.4 Continuous functions -- 1.5 Properties of continuous functions -- 1.6 The derivative -- 1.7 Properties of derivatives -- 1.8 A geometric interpretation of the derivative -- 1.9 Increasing, decreasing, and local extrema -- 1.10 Optimization -- 1.11 Implicit differentiation and rates of change -- 1.12 Higher-order derivatives -- 2 Integrals -- 2.1 Integrals -- 2.2 Definite integrals -- 2.3 Properties of definite integrals -- 2.4 The fundamental theorem of integrals -- 2.5 Applications of definite integrals -- 2.6 Some techniques for evaluating integrals -- 2.7 The exponential and logarithm functions -- Answers to ExercisesIndex…”
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