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Differential Calculus Notes For Mathematics 100 and 180

Differential Calculus Notes For Mathematics 100 and 180

Differential Calculus Notes For Mathematics 100 and 180

The contents include: The basics, Limits, Derivatives, Applications of derivatives, Numbers, Sets, Other important sets, Functions, Parsing formulas, Inverse functions, Another limit and computing velocity, The limit of a function, Calculating limits with limit laws, Continuity, Revisiting tangent lines, Interpretations of the derivative, Proofs of the arithmetic of derivatives, Derivatives of Exponential Functions, Derivatives of trigonometric functions, The natural logarithm, Implicit Differentiation, Inverse Trigonometric Functions, The Mean Value Theorem, Higher order derivatives, Velocity and acceleration, Related rates, Optimisation, Sketching graphs, Introduction to antiderivatives, Carbon dating, Population growth, Some examples, Further examples, The error in the Taylor polynomial approximations, Local and global maxima and minima, Finding global maxima and minima, Symmetries, A checklist for sketching, Sketching examples, Standard examples, Variations.

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s391 Pages
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Differential Calculus Notes For Mathematics 100 and 180

Differential Calculus Notes For Mathematics 100 and 180

The contents include: The basics, Limits, Derivatives, Applications of derivatives, Numbers, Sets, Other important sets, Functions, Parsing formulas, Inverse functions, Another limit and computing velocity, The limit of a function, Calculating limits with limit laws, Continuity, Revisiting tangent lines, Interpretations of the derivative, Proofs of the arithmetic of derivatives, Derivatives of Exponential Functions, Derivatives of trigonometric functions, The natural logarithm, Implicit Differentiation, Inverse Trigonometric Functions, The Mean Value Theorem, Higher order derivatives, Velocity and acceleration, Related rates, Optimisation, Sketching graphs, Introduction to antiderivatives, Carbon dating, Population growth, Some examples, Further examples, The error in the Taylor polynomial approximations, Local and global maxima and minima, Finding global maxima and minima, Symmetries, A checklist for sketching, Sketching examples, Standard examples, Variations.

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