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
book explain the solution of the following two problems, obtaining of Keplers
laws from Newtons laws and obtaining the fourth Newtons law as a corollary of
Keplers 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, Rolles Theorem and Taylors Theorem, Maxima and Minima,
Indeterminate Forms.
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.
This book covers the following topics, Laplaces equation, Sobolev spaces, Elliptic PDEs, The Heat and
Schrodinger Equations, Parabolic Equations, Hyperbolic Equations and Friedrich
symmetric systems.