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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 
Ravello lecture notes on geometric calculus Part I
This note contains below topics, Exterior algebra, Dierential forms and cochains de Rham theorem, Locally compact abelian groups, The kvector Pk of each Pk in exercise of.
Author(s): Jenny Harrison
85 Pages
Notes on matrices and calculus
This note contains below topics, Matrices and linear transformations, Spaces of matrices, Some geometric situations, Immersions submersions and connections, Metric spaces.
Author(s): Stephen William Semmes
56 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
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
Lecture Notes for Math by Dr Vitaly A Shneidman
This note covers following topics, Continuity and Limits, Continuous Function, Derivatives, Derivative as a function, Differentiation rules, Derivatives of elementary functions, Trigonometric functions, Implicit differentiation, Inverse Functions, Logarithmic functions and differentiation, Monotonicity, Area between two curves.
Author(s): Dr. Vitaly A. Shneidman
163 Pages
Applied Advanced Calculus Lecture Notes by Jan Vrbik
This note explains following topics, Ordinary Differential Equations, FirstOrder Differential Equations, Second Order Differential Equations, Third and HigherOrder Linear ODEs, Sets of Linear, FirstOrder, ConstantCoefficient ODEs,PowerSeries 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