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    Informal Calculus with Applications to Biological and Environmental Sciences by Seacrest, Tyler

    Published 2021
    Table of Contents: “…Algebra Tips and Tricks: Part I -- Algebra Tips and Tricks Part I (Combining Terms, Distributing, Functions, Graphing) -- Homework for Algebra Tips and Tricks: Part I -- Derivative Introduction -- Ball Toss Project -- Position to Velocity -- Homework: Position to Velocity -- Algebra Tips and Tricks Part II (Piecewise Defined Functions) -- Limits -- Homework: Limits -- Algebra Tips and Tricks Part III (Factoring) -- Algebraic Limits -- Homework: Algebraic Limits -- Instantaneous Velocity -- Homework: Instantaneous Velocity -- Algebra Tips and Tricks IV (Tips for dealing with fractions) -- Definition of Derivative Examples -- Project: Hard Definition of Derivative Problems -- Homework: Examples of the Definition of the Derivative -- Project: Killdeer Migration Speed -- Rules for Derivatives -- Algebra Tips and Tricks Part V (Exponents) -- Power Rule -- Homework: Power Rule -- Algebra Tips and Tricks Part VI (Logarithms) -- Exponentials, Logarithms, and Trig Functions -- Homework: Exponents, Logs, Trig Functions -- Product Rule -- Homework: Product Rule -- Quotient Rule -- Homework: Quotient Rule -- Chain Rule -- Homework: Chain Rule -- Multirule Derivatives -- Homework: Multirule Derivatives -- Anti-derivatives -- Homework: Anti-derivatives -- More Derivative Intuition -- Derivatives and Graphs -- Homework: Derivative Graphs -- Second Derivatives and Interpreting the Derivative -- Homework: Second Derivatives and Interpreting the Derivative -- Optimization -- Homework: Optimization -- Derivatives in Space -- Homework: Derivatives in Space -- Differential Equations -- Recurrance Relations -- Homework: Recurrence Relations -- Introduction to Differential Equations -- Homework: Introduction to Differential Equations -- Understanding Differential Equations -- Homework: Understanding Differential Equations -- Initial Value Problems -- Homework: Initial Value Problems -- Growth and Decay -- Homework: Growth and Decay -- Exploring Graphs of Differential Equations -- Project: Modelling with Differential Equations -- Intuition for Integration -- Introduction to Integrals -- Numeric Integration Techniques -- Homework: Numeric Integration Techniques -- Fundamental Theorem of Calculus -- Homework: The Fundamental Theorem of Calculus -- Project: Measuring Streamflow -- Project: Quake Lake -- Rules for Integration -- Power, exponential, trig, and logarithm rules -- Homework: Power, exponential, trig, and logarithmic rules -- u-substitution -- Homework: u-substitution -- Integral Applications -- Homework: Integral Applications -- Integration by Parts -- Homework: Integration by Parts -- Acknowledgements…”
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