This note explains the following topics:
Differentiation from first principles, Differentiating powers of x,
Differentiating sines and cosines, Differentiating logs and exponentials, Using
a table of derivatives, The quotient rule, The product rule, The chain rule,
Parametric differentiation, Differentiation by taking logarithms, Implicit
differentiation, Extending the table of derivatives, Tangents and normals,
Maxima and minima.
This note covers the following topics: Limits and
Continuity, Differentiation Rules, Applications of Differentiation, Curve
Sketching, Mean Value Theorem, Antiderivatives and Differential Equations,
Parametric Equations and Polar Coordinates, True Or False and Multiple Choice
Petra Menz, and Randall Pyke
book explain the solution of the following two problems: obtaining of Kepler's
laws from Newton's laws and obtaining the fourth Newton's law as a corollary of
Kepler's laws. This small book is devoted to the scholars, who are interested in
physics and mathematics.
This book is intended for beginners. Topics covered includes: Fundamental
Rules for Differentiation, Tangents and Normals, Asymptotes, Curvature,
Envelopes, Curve Tracing, Properties of Special Curves, Successive
Differentiation, Rolle's Theorem and Taylor's Theorem, Maxima and Minima,
This book emphasis on
systematic presentation and explanation of basic abstract concepts of
differential Calculus. Topics covered includes: Limits, Continuity and
Differentiation of Real Functions of One Real Variable, Differentiation and
Sketching Graphs Using Analysis.
book covers the following topics: Ordinary Differential Equations, First Order PDE, Second Order PDE,
Characteristics and Canonical Forms, Characteristics and Discontinuities, PDE in
N-dimensions The Potential Equation, Harmonic Functions, Green's Function,
Consequences of Poisson's Formula The Diffusion Equation, The Wave Equation.
This book covers the following topics: Basic Topological, Metric and
Banach Space Notions, The Riemann Integral and Ordinary Differential Equations,
Lebesbgue Integration Theory, Fubiniís Theorem, Approximation Theorems and
Convolutions, Hilbert Spaces and Spectral Theory of Compact Operators, Synthesis
of Integral and Differential Calculus, Miracle Properties of Banach Spaces.