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If you find my work useful, please consider making a donation. to get access to your one-sheeter, Mathematical Models: A Catalog of Essential Functions, Rates of Change in the Natural and Social Sciences, How Derivatives Affect the Shape of a Graph, Limits at Infinity; Horizontal Asymptotes, Indefinite Integrals and the Net Change Theorem, Exponential Functions and Their Derivatives, General Logarithmic and Exponential Functions, Indeterminate Forms and l'Hospital's Rule, Integration of Rational Functions by Partial Fractions, Integration Using Tables and Computer Algebra Systems, Absolute Convergence and the Ratio and Root Tests, Representations of Functions as Power Series, Derivatives and Integrals of Vector Functions, Motion in Space: Velocity and Acceleration, Directional Derivatives and the Gradient Vector, Triple Integrals in Cylindrical Coordinates, Triple Integrals in Spherical Coordinates, Change of Variables in Multiple Integrals, The Fundamental Theorem for Line Integrals, Applications of Second-Order Differential Equations. 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