Calculus

Here are my online notes for my Calculus I course that I teach here at Lamar University. Despite the fact that these are my “class notes” they should be accessible to anyone wanting to learn Calculus I or needing a refresher in some of the early topics in calculus. I’ve tried to make these notes as self contained as possible and so all the information needed to read through them is either from an Algebra or Trig class or contained in other sections of the notes.
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Here are my online notes for my Calculus II course that I teach here at Lamar University. Despite the fact that these are my “class notes” they should be accessible to anyone wanting to learn Calculus II or needing a refresher in some of the topics from the class. These notes do assume that the reader has a good working knowledge of Calculus I topics including limits, derivatives and integration by substitution.
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Here are my online notes for my Calculus III course that I teach here at Lamar University. Despite the fact that these are my “class notes” they should be accessible to anyone wanting to learn Calculus III or needing a refresher in some of the topics from the class. These notes do assume that the reader has a good working knowledge of Calculus I topics including limits, derivatives and integration.
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Stewart's CALCULUS, Fifth Edition has the mathematical precision, accuracy, clarity of exposition and outstanding examples and problem sets that have characterized the first four editions. Stewart retains the focus on problem solving and the pedagogical system that has made the book a favorite of students and instructors in a wide variety of colleges and universities throughout the world.
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Success in your calculus course starts here! James Stewart's CALCULUS texts are worldwide bestsellers for a reason: they are clear, accurate, and filled with relevant, realworld examples. With CALCULUS: EARLY TRANCENDENTALS, Sixth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and builtin learning aids will help you build your mathematical confidence and achieve your goals in the course!...
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Cuốn sách cung cấp cách nhìn và phân tích về thế giới vật lý. Cũng như các chương trình toán học khác, calculus liên quan đến các phương trình và công thức. Tuy nhiên, nếu bạn thành công trong việc học cách sử dụng tất cả các công thức và giải quyết tất cả các vấn đề trong sách nhưng không nắm vững những ý tưởng cơ bản, bạn sẽ bị mất một phần quan trọng nhất của giải tích.
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This volume contains a collection of articles dedicated to the 70th anniversary of Albert Shiryaev. The majority of contributions are written by his former students, coauthors, colleagues and admirers strongly influenced by Albert’s scientific tastes as well as by his charisma. We believe that the papers of this Festschrift reflect modern trends in stochastic calculus and mathematical finance and open new perspectives of further development in these fascinating fields which attract new and new researchers.
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The mere thought of having to take a required calculus course is enough to make legions of students break out in a cold sweat. Others who have no intention of ever studying the subject have this notion that calculus is impossibly difficult unless you happen to be a direct descendant of Einstein. Well, I’m here to tell you that you can master calculus. It’s not nearly as tough as its mystique would lead you to think. Much of calculus is really just very advanced algebra, geometry, and trig. It builds upon and is a logical extension of those subjects.
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The Symbolic Math Toolboxes provide functions to do the basic operations of calculus; differentiation, limits, integration, summation, and Taylor series expansion. ...
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From the University of Florida Department of Mathematics, this is the third volume in a three volume presentation of calculus from a concepts perspective. The emphasis is on learning the concepts behind the theories, not the rote completion of problems.
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This book was written to help you solve problems and understand concepts covered in a business calculus course. To make the material easy to absorb, only one idea is covered in each section. Examples and solutions are given in detail so that you will not be distracted by missing algebra and/or calculus steps. Topics that students find difficult are written with extra care.
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Edition, he has made hundreds of small improvements: new examples, additional steps in existing examples, updating of data in existing examples and exercises, new phrases and margin notes to clarify the exposition, references to other sources and web sites, redrawn art, and references to the TEC CD (Tools for Enriching Calculus). These refinements ensure that students and instructors have the best materials available. The number of pages in the book, however, remains unchanged from the 4th edition.
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(BQ) Part 1 book "Calculus early transcendentals" has contents: Functions and models, limits and derivatives, limits and derivatives, applications of differentiation, integrals, applications of integration, techniques of integration, further applications of integration, differential equations.
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(BQ) Part 1 book "Math advanced calculus" has contents: Numbers, functions, the derivative, the riemann integral, the euclidean n space, vector valued functions of a vector variable, sequences of functions, linear functions.
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(BQ) Part 1 book "Advanced calculus" has contents: Numbers, sequences, functions, limits, and continuity, derivatives, integrals, partial derivatives, vectors, applications of partial derivatives.
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(BQ) Part 2 book "Advanced calculus" has contents: Multiple integrals; line integrals, surface integrals, and integral theorems; infinite series; improper integrals, fourier series, fourier integrals, gamma and beta functions, functions of a complex variable.
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(BQ) Part 1 book "Essential calculus  Early transcendentals" has contents: Functions and limits, derivatives, inverse functions  exponential, logarithmic, and inverse trigonometric functions, applications of differentiation, integrals, techniques of integration
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(BQ) Part 2 book "Essential calculus  Early transcendentals" has contents: Series, parametric equations and polar coordinates, vectors and the geometry of space, partial derivatives, multiple integrals, vector calculus.
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In this volume I present some examples of napla calculus, vector potentials, Green’s identities, curvilinear coordinates , Electromagnetism and various other types, cf. also Calculus 2b, Functions of Several Variables. Since my aim also has been to demonstrate some solution strategy I have as far as possible structured the examples according to the following form A Awareness, i.e. a short description of what is the problem. D Decision, i.e. a reflection over what should be done with the problem. I Implementation, i.e. where all the calculations are made. C Control, i.e.
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Here follows a collection of sequences, including sequences, which satisfy some simple difference equations. The reader is also referred to Calculus 3b. Since my aim also has been to demonstrate some solution strategy I have as far as possible structured the examples according to the following form A Awareness, i.e. a short description of what is the problem. D Decision, i.e. a reflection over what should be done with the problem. I Implementation, i.e. where all the calculations are made. C Control, i.e. a test of the result. This is an ideal form of a general procedure of solution.
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