Calculus Books

Calculus with Applications by Daniel Kleitman

Calculus with Applications by Daniel Kleitman 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.

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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. 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. NA Pages

Calculus by David Guichard

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. 320 Pages

Caluclus 1 Lecture Notes

This note describes the following topics: Derivatives, Integrals, Limits, and Continuity, Types of Basic Functions, Graphing Piecewise Functions,  Graphing using Transformations, Composition of Functions, Derivatives and Rates of Change, Derivative of a Function, Differentation Formulas, Derivative of Trig Functions, The Chain Rule, Implicit Differentation, Applications of Differentiation, Find Max and Minimum Values, Extreme Value Theorem, Fermat's Theorem, Limits at Infinity, Asymptotes, Sketching Curves, The Mean Value Theorem, Integration, The Definite Integral, The Fundamental Theorem of Calculus, Indefinite Integrals and Applications, Integration by Substitution. NA Pages

Understanding Basic Calculus

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. 292 Pages

Calculus 1 Class Notes

This note explains the following topics: Functions and Their Graphs, Trigonometric Functions, Exponential Functions, Limits and Continuity, Differentiation, Differentiation Rules, Implicit Differentiation, Inverse Trigonometric Functions, Derivatives of Inverse Functions and Logarithms, Applications of Derivatives, Extreme Values of Functions, The Mean Value Theorem, Monotone Functions and the First Derivative Test, Integration, Sigma Notation and Limits of Finite Sums, Indefinite Integrals and the Substitution Method. NA Pages

Lecture Notes On Advanced Calculus II

This lecture note explains the following topics:Sequences of Real Numbers, Limits of Sequences, Sequences which tend to & 97 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. 185 Pages

First Semester Calculus

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. 134 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 135 Pages

Calculus Course Notes

This notes contains the following subcategories Calculus, Introduction to Number Theory and Vector Calculus NA Pages

Introduction to calculus

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. 566 Pages 292 Pages NA Pages