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Math for Physics and Astronomy II
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Outline for Math for Physics and Astronomy II -
Materials for Math for Physics and Astronomy II
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Differential CalculusDefinition, Rules, and Formulas
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Higher derivatives, Extrema and Inflection points, Implicit differentiation, and Linear approximation
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Taylor series
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Radius of curvature and Multivariable Calculus
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Complex NumbersBasics and Defenitions
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Polar form and Euler’s formula, n th roots, and Hyperbolic functions
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Integral CalculusDefinition, Rules, and Formulas
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U-substitution, Trigonometric and Hyperbolic substitutions
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Integration by parts and Partial fractions
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Applications of Integral Calculus
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Differential EquationsDefinitions, Exponential growth and decay, and Separable and Autonomous equations
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First order linear ODE and Homogeneous and Particular solutions
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Second order linear ODE
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MatricesMatrices