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
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 
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 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
Elements of the differential and integral calculus
This is an amazing book related to differential and integral calculus.It provides crystal clear explanations, is very consistent and goes gently deeply into each topic.
Author(s): William Anthony Granville, Percey F Smith and William Raymond Longley
489 Pages
Introduction to Differential Calculus (PDF 44P)
This lecture note explains the following topics: What is the derivative, How do we find derivatives, What is differential calculus used for, differentiation from first principles.
Author(s): Christopher Thomas
44 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
Partial Differential Equations Some Lectures
This book covers the following topics: Basic Topological, Metric and Banach Space Notions, The Riemann Integral and Ordinary Differential Equations, Lebesbgue Integration Theory, Fubini’s Theorem, Approximation Theorems and Convolutions, Hilbert Spaces and Spectral Theory of Compact Operators, Synthesis of Integral and Differential Calculus, Miracle Properties of Banach Spaces.
Author(s): Bruce Driver
NA PagesAdvertisement
