A text book of differential calculus with numerous worked out examples
A text book of differential calculus with numerous worked out examples
A text book of differential calculus with numerous worked out examples
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,
Indeterminate Forms.
The contents include: Introduction, Proof by
induction, Complex numbers, Trigonometric and hyperbolic functions, Functions,
limits and differentiation, Integration, Taylor’s theorem and series,
Exercises.
Author(s): ACC Coolen, Department of
Mathematics, King’s College London
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
Problems.
Author(s): Veselin Jungic,
Petra Menz, and Randall Pyke
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,
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.