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Introductory Calculus Notes
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 
Lecture notes in Introductory Calculus
This note covers the following topics: Real Numbers,Complex numbers, Sequences and their limits, Limits and Continuity, Differentiation, Applications of Differentiation, Primitives and Indefinite Integrals.
Author(s): Department of Higher Mathematics, MIPT
310 Pages
First Semester Calculus Lecture Notes
This note covers Numbers and Functions, Derivatives 1, Limits and Continuous Function, Derivatives 2, Graph Sketching and Max Min Problems, Exponentials and Logarithms, The Integral and Applications of the integral.
Author(s): NA
134 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
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
Exercises and Problems in Calculus
This is a set of exercises and problems for a standard beginning calculus. A fair number of the exercises involve only routine computations, many of the exercises and most of the problems are meant to illuminate points that in my experience students have found confusing.
Author(s): John M. Erdman
374 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, 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