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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 
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
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 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
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, 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
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
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
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 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
