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brief revision of basic trigonometry
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Brief notes on Fixed Point Interation
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Brief revision of basic differentiation
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Linear & Quadratic Approximations
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Newton-Raphson Method
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Elementary Examples of Polynomial Approximations
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Defn. examples and graphs of composite functions
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Differentation of inverse functions
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Basic properties of exp, logarithmic functions
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Plotting surfaces & contours
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Limits for f(x,y)
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Basic properties of functions
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Second order partial derivatives
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Defn & basic properties of hyperbolic functions
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Basic implicit differentiation
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Volumes of revolution etc.
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Discussion of the integral of 1/x
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Elementary integration by parts
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Integrating rational functions
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reduction formulae
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Revision of basic integration
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Elementary integration by substitution
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Special substitutions for integration
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Basic properties of inverse functions and graphs
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Discussion of inverse trig functions
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Leibniz Theorem for differentiating a product
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Techniques for calculating limits
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Intuitive discussion of limits
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technique of logarithmic differentiation
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Introduction to partial differentiation
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Using the chain rule for partial differentiation
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Technique of parametric differentiation
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An example on polynomial division
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Deriving Taylor polynomials
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using and applying Taylor's Theorem with remainder
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Finding equation of tangent plane
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NotesIndex.txt
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brief revision of basic trigonometry | Brief notes on Fixed Point Interation | Brief revision of basic differentiation | Linear & Quadratic Approximations | Newton-Raphson Method |
Elementary Examples of Polynomial Approximations | Defn. examples and graphs of composite functions | Differentation of inverse functions | Basic properties of exp, logarithmic functions | Plotting surfaces & contours |
Limits for f(x,y) | Basic properties of functions | Second order partial derivatives | Defn & basic properties of hyperbolic functions | Basic implicit differentiation |
Volumes of revolution etc. | Discussion of the integral of 1/x | Elementary integration by parts | Integrating rational functions | reduction formulae |
Revision of basic integration | Elementary integration by substitution | Special substitutions for integration | Basic properties of inverse functions and graphs | Discussion of inverse trig functions |
Leibniz Theorem for differentiating a product | Techniques for calculating limits | Intuitive discussion of limits | technique of logarithmic differentiation | Introduction to partial differentiation |
Using the chain rule for partial differentiation | Technique of parametric differentiation | An example on polynomial division | Deriving Taylor polynomials | using and applying Taylor's Theorem with remainder |
Finding equation of tangent plane | NotesIndex.txt |
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