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Advanced Calculus Lecture Notes for Mathematics
These notes are not intended as a textbook. It is hoped however that they will minimize the amount of note taking activity which occupies so much of a student’s class time in most courses in mathmatics. Topics covered includes: The Real Number system & Finite Dimensional Cartesian Space, Limits, Continuity, and Differentiation, Riemann Integration, Differentiation of Functions of Several Variables.
Author(s): James S. Muldowney
189 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
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
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
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
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
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.
Author(s): Bob Gardner
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
Advanced Calculus Lecture Notes for Mathematics
These notes are not intended as a textbook. It is hoped however that they will minimize the amount of note taking activity which occupies so much of a student’s class time in most courses in mathmatics. Topics covered includes: The Real Number system & Finite Dimensional Cartesian Space, Limits, Continuity, and Differentiation, Riemann Integration, Differentiation of Functions of Several Variables.
Author(s): James S. Muldowney
189 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
This lecture note explains Differential and Integral calculus of functions of one variable, including trigonometric functions.
Author(s): Sigurd Angenent
134 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
566 PagesAdvertisement
