Differential calculus for beginners

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

Calculus I Compact Lecture Notes by ACC Coolen

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

135 Pages

Differentiation by Mathtutor

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.

Author(s): Mathtutor

NA 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

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

Differential Calculus Simplified to the Bone

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.

Author(s): Larissa Fradkin

73 Pages

Differential calculus for beginners

The present small volume is intended to form a sound introduction to a study of the Differential Calculus suitable for the beginner.

Author(s): Joseph Edwards

293 Pages

Introduction to Partial Differential Equations

This 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.

Author(s): Ralph E. Showalter

NA Pages