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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.
Author(s): Joel Feldman, Andrew Rechnitzer
391 Pages
A Collection of Problems in Differential Calculus
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
159 Pages
Kepler's laws with introduction to differential calculus
This 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.
Author(s): Makar Plakhotnyk
NA Pages
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.
Author(s): Ganesh Prasad
186 Pages
