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
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
A Brief Introduction to Calculus
These notes are intended as a brief introduction to some of the main ideas and methods of calculus. Topics covered includes: Functions and Graphs, Linear Functions, Lines, and Linear Equations, Limits, Continuity, Linear Approximation, Introduction to the Derivative, Product, Quotient, and Chain Rules, Derivatives and Rates, Increasing and Decreasing Functions, Concavity, Optimization, Exponential and Logarithmic Functions, Antiderivatives, Integrals.
Author(s): NA
69 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 with Applications by Daniel Kleitman
The note is intended as a one and a half term course in calculus for students who have studied calculus in high school. It is intended to be self contained, so that it is possible to follow it without any background in calculus, for the adventurous.
Author(s): Daniel Kleitman
NA 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
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
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
This lecture note explains the following topics: Methods of integration, Taylor polynomials, complex numbers and the complex exponential, differential equations, vector geometry and parametrized curves.
Author(s): Sigurd Angenent
153 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
Lecture Notes on the Lambda Calculus (PDF 106P)
This notes contains the details about The untyped lambda calculus, The Church-Rosser Theorem, Combinatory algebras, The Curry-Howard isomorphism, Polymorphism, Weak and strong normalization, Denotational semantics of PCF
Author(s): Peter Selinger
106 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 Pages
This book emphasizes the fundamental concepts from calculus and analytic geometry and the application of these concepts to selected areas of science and engineering. Topics covered includes: Sets, Functions, Graphs and Limits, Differential Calculus, Integral Calculus, Sequences, Summations and Products and Applications of Calculus.
Author(s): J.H. Heinbockel
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