Abstract Algebra Algebra Algebraic Geometry Algebraic Topology Applied Mathematics Arithmetic Geometry Basic Algebra Basic Mathematics Calculus Category Theory Classical Analysis Combinatorics Commutative Algebra Complex Algebra Complex Analysis Differential Algebra Differential Analysis Differential Calculus Differential Equations Differential Geometry Differential Topology Discrete Mathematics Elliptic Curves Fourier Analysis Functional Analysis Fractals Fractional Calculus Geometric Algebra Geometry Geometric Topology Groups Theory Graph Theory Harmonic Analysis Higher Algebra History of Mathematics Homological Algebra Integral Calculus K-theory Lie Algebra Linear Algebra Mathematical Analysis Mathematical Series Modern Geometry Multivairable Calculus Number Theory Numerical Analysis Probability Theory Real Analysis Rings and Fileds Riemannian Geometry Theorems in Calculus Topology Trigonometry Set Theory Constants & Numerical Sequences
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
391Pages
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
135Pages
This note covers functions, Differentiation, Exponentials and logarithms, integration, Differential equation.
Author(s): Matthew Scroggs, University College of London
22Pages
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
NAPages
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
159Pages
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
NAPages
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
186Pages
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
73Pages
