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
Calculus Made Easy
Calculus Made Easy has long been the most popular calculus primer, and this major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. This is a book that explains the philosophy of the subject in a very simple manner, making it easy to understand even for people who are not proficient in math.
Author(s): Silvanus P. Thompson
292 Pages 
Calculus Volume 1 by Edwin Herman
This PDF book covers the following topics related to Calculus : Functions and Graphs, Limits, Derivatives, Applications of Derivatives, Integration, Applications of Integration.
Author(s): Edwin Jed Herman, University of Wisconsin-stevens Point, Gilbert Strang, Massachusetts Institute of Technology
875 Pages
Multivariable Calculus Worksheets
This PDF book covers the following topics related to Multivariable Calculus : Curves Defined by Parametric Equations, Tangents, Areas, Arc Lengths, and Surface Areas, Polar Coordinates, Vectors, Dot Products, Cross Products, Lines and Planes, Quadric Surfaces, Vector Functions and Space Curves, Cross Products and Projections, Functions of Several Variables, Limits and Continuity, Partial Derivatives, Tangent Planes and Differentials, The Chain Rule, Directional Derivatives and the Gradient Vector, Maximum and Minimum Values, Lagrange Multipliers, Double Integrals over Rectangles, Double Integrals over General Regions, Double Integrals in Polar Coordinates, Applications of Double Integrals, Surface Area, Triple Integrals in Cartesian, Spherical, and Cylindrical Coordinates, Change of Variable in Multiple Integrals, Gravitational Potential Energy, Vector Fields, Line Integrals, etc.
Author(s): Department of Mathematics, University of California at Berkeley
74 Pages
This book explains the following topics: Derivatives, Derivatives, slope, velocity, rate of change, Limits, continuity, Trigonometric limits, Derivatives of products, quotients, sine, cosine, Chain rule, Higher derivatives, Implicit differentiation, inverses, Exponential and log, Logarithmic differentiation, hyperbolic functions, Applications of Differentiation, Linear and quadratic approximations ,Curve sketching, Max-min problems, Newton’s method and other applications, Mean value theorem, Inequalities, Differentials, antiderivatives, Differential equations, separation of variables, Integration, Techniques of Integration.
Author(s): Prof. David Jerison, Massachusetts Institute of Technology
NA Pages
Calculus with Theory Lecture Notes
This note emphasizes careful reasoning and understanding of proofs. It assumes knowledge of elementary calculus. Topics covered includes: Integers and exponents, Square roots, and the existence of irrational numbers, The Riemann condition, Properties of integrals, Integrability of bounded piecewise-monotonic functions, Continuity of the square root function, Rational exponents, The fundamental theorems of calculus, The trigonometric functions, The exponential and logarithm functions, Integration, Taylor's formula, Fourier Series.
Author(s): Christine Breiner
NA Pages
Calculus, Applications and Theory
This note covers following topics: The Real Numbers, Basic Geometry And Trigonometry, The Complex Numbers, Functions Of One Variable, Derivatives, Properties And Applications Of Derivatives, Antiderivatives And Differential Equations, The Integral, Infinite Series, Vector Valued Functions, Limits And Derivatives, Line Integrals, Functions Of More Than One Variable, Linear Algebra, Vector Calculus.
Author(s): Kenneth Kuttler
635 Pages
Applied Advanced Calculus Lecture Notes by Jan Vrbik
This note explains following topics: Ordinary Differential Equations, First-Order Differential Equations, Second Order Differential Equations, Third and Higher-Order Linear ODEs, Sets of Linear, First-Order, Constant-Coefficient ODEs,Power-Series Solution, Vector Analysis, Complex Analysis, Complex Analysis, Complex Functions.
Author(s): Jan Vrbik
136 Pages
Calculus Lectures Notes by Gerald Hoehn
This note covers following topics of Integral and Differential Calculus: Differential Calculus: rates of change, speed, slope of a graph, minimum and maximum of functions, Derivatives measure instantaneous changes, Integral Calculus: Integrals measure the accumulation of some quantity, the total distance an object has travelled, area under a curve, volume of a region.
Author(s): Gerald Hoehn
NA Pages
This book covers the following topics: Analytic Geometry, Instantaneous Rate Of Change: The Derivative, Rules For Finding Derivatives, Transcendental Functions, Curve Sketching, Applications of the Derivative, Integration, Techniques of Integration, Applications of Integration, Sequences and Series.
Author(s): David Guichard
320 Pages
Introduction to Calculus Notes
This note explains the following topics: Hyperbolic Trigonometric Functions, The Fundamental Theorem of Calculus, The Area Problem or The Definite Integral, The Anti-Derivative, Optimization, L'Hopital's Rule, Curve Sketching, First and Second Derivative Tests, The Mean Value Theorem, Extreme Values of a Function, Linearization and Differentials, Inverse Trigonometric Functions, Implicit Differentiation, The Chain Rule, The Derivative of Trig. Functions, The Differentiation Rules, Limits Involving Infinity, Asymptotes, Continuity, Limit of a function and Limit Laws, Rates of Change and Tangents to Curves.
Author(s): Nakia Rimmer
NA Pages
In this book, much emphasis is put on explanations of concepts and solutions to examples. Topics covered includes: Sets, Real Numbers and Inequalities, Functions and Graphs, Limits, Differentiation, Applications of Differentiation, Integration, Trigonometric Functions, Exponential and Logarithmic Functions.
Author(s): S.K. Chung
292 Pages
Calculus for Computer Scientists Lecture Notes
This note explains the following topics: Calculus is probably not the most popular course for computer scientists. Calculus – FAQ, Real and complex numbers, Functions, Sequences, Series, Limit of a function at a point, Continuous functions, The derivative, Integrals, Definite integral, Applications of integrals, Improper integrals, Wallis’ and Stirling’s formulas, Numerical integration, Function sequences and series.
Author(s): Maciej Paluszynski
185 Pages
This note covers the following topics: Numbers and Functions, Derivatives, Limits and Continuous Functions, Graph Sketching and Max-Min Problems, Exponentials and Logarithms, The Integral, Applications of the integral.
Author(s): Sigurd B. Angenent
134 Pages
The approach followed is quite different from that of standard calculus texts. We use natural, but occasionally unusual, definitions for basic concepts such as limits and tangents. Topics covered includes: Sets: Language and Notation, The Extended Real Line, Suprema, Infima, Completeness, Neighborhoods, Open Sets and Closed Sets, Trigonometric Functions, Continuity, The Intermediate Value Theorem, Inverse Functions, Tangents, Slopes and Derivatives, Derivatives of Trigonometric Functions, Using Derivatives for Extrema, Convexity, Integration Techniques.
Author(s): Ambar N. Sengupta
330 Pages
Advanced Calculus by Evelyn Silvia
This book covers the following topics: Field of Reals and Beyond, From Finite to Uncountable Sets, Metric Spaces and Some Basic Topology, Sequences and Series, Functions on Metric Spaces and Continuity, Riemann Stieltjes Integration.
Author(s): Evelyn Silvia
NA Pages
Lecture Notes in Calculus (PDF 206P)
This is useful notes for Calculus. This notes contain Real numbers, Functions, Derivatives, Integration theory and Sequences
Author(s): Raz Kupferman
206 Pages
Calculus Compact Lecture Notes (PDF 135P)
This notes contain Complex numbers, Proof by induction, Trigonometric and hyperbolic functions, Functions, limits, differentiation, Integration, Taylor’s theorem and series
Author(s): ACC Coolen
135 PagesAdvertisement
