Search Results (700)

Save

Please log in to save materials.

View
Selected filters:
Advanced Calculus
Conditions of Use:
Remix and Share
Rating

Some of the topics that this book addresses are: Vector spaces; finite-dimensional ... More

Some of the topics that this book addresses are: Vector spaces; finite-dimensional vector spaces; differential calculus; compactness and completeness; scalar product space; differential equations; multilenear functionals; integration; differentiable manifolds; integral calculus on manifolds; exterior calculus. Note: this is a 57 MB PDF Document. Less

More
Subject:
Calculus
Material Type:
Textbooks
Provider:
Harvard University
Provider Set:
Individual Authors
Author:
Sternberg Shlomo and Lynn Loomis
Less
Calculus
Conditions of Use:
Read the Fine Print
Rating

Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource ... More

Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. In addition to the Textbook, there is also an online Instructor's Manual and a student Study Guide. Prof. Strang has also developed a related series of videos, Highlights of Calculus, on the basic ideas of calculus. Less

More
Subject:
Mathematics
Calculus
Material Type:
Lesson Plans
Student Guide
Textbooks
Provider:
University of Minnesota
Provider Set:
University of Minnesota - Open Academics Textbooks
Author:
Gilbert Strang
Less
Applied Calculus
Conditions of Use:
Read the Fine Print
Rating

This is an on-line resource on topics of Applied Calculus, including on-line ... More

This is an on-line resource on topics of Applied Calculus, including on-line tutorial sessions. Less

More
Subject:
Material Type:
Readings
Provider:
Waner and Costenoble
Provider Set:
Individual Authors
Author:
Stefan Waner and Steven R. Costenoble
Less
Whitman Calculus
Conditions of Use:
Read the Fine Print
Rating

An introductory level single variable calculus book, covering standard topics in differential ... More

An introductory level single variable calculus book, covering standard topics in differential and integral calculus, and infinite series. Late transcendentals and multivariable versions are also available. Less

More
Subject:
Mathematics
Calculus
Material Type:
Textbooks
Provider:
University of Minnesota
Provider Set:
University of Minnesota - Open Academics Textbooks
Author:
David Guichard
Less
Active Calculus
Conditions of Use:
Read the Fine Print
Rating

In Active Calculus, we endeavor to actively engage students in learning the ... More

In Active Calculus, we endeavor to actively engage students in learning the subject through an activity-driven approach in which the vast majority of the examples are completed by students. Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore. Less

More
Subject:
Mathematics
Calculus
Material Type:
Textbooks
Provider:
University of Minnesota
Provider Set:
University of Minnesota - Open Academics Textbooks
Author:
Matt Boelkins, David Austin, Steve Schlicker
Less
Brief Calculus
Conditions of Use:
No Strings Attached
Rating

This short text is designed more for self-study or review than for ... More

This short text is designed more for self-study or review than for classroom use; full solutions are given for nearly all the end-of-chapter problems. For a more traditional text designed for classroom use, see Fundamentals of Calculus (http://www.lightandmatter.com/fund/). The focus is mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy, but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals. Numerical examples are given using the open-source computer algebra system Yacas, and Yacas is also used sometimes to cut down on the drudgery of symbolic techniques such as partial fractions. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results. Less

More
Subject:
Mathematics
Calculus
Material Type:
Textbooks
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Benjamin Crowell
Less
Calculus I
Conditions of Use:
Read the Fine Print
Rating

In this course, we will study the foundations of calculus, the study ... More

In this course, we will study the foundations of calculus, the study of functions and their rates of change. We want you to learn how to model situations in order to solve problems. If you have already taken calculus before, we want you to gain an even deeper understanding of this fascinating subject. The derivative measures the instantaneous rate of change of a function. The definite integral measures the total accumulation of a function over an interval. These two ideas form the basis for nearly all mathematical formulas in science. The rules by which we can compute the derivative (respectively, the integral) of any function are called a calculus. The Fundamental Theorem of Calculus links the two processes of differentiation and integration in a beautiful way. Less

More
Subject:
Calculus
Functions
Material Type:
Video Lectures
Provider:
New York University
Provider Set:
New York University
Author:
Matthew Leinngang
Less
Vector calculus
Conditions of Use:
Read the Fine Print
Rating

This is a two-semester course in n-dimensional calculus with a review of ... More

This is a two-semester course in n-dimensional calculus with a review of the necessary linear algebra. It covers the derivative, the integral, and a variety of applications. An emphasis is made on the coordinate free, vector analysis. Less

More
Subject:
Calculus
Material Type:
Homework and Assignments
Lecture Notes
Readings
Syllabi
Textbooks
Provider:
Intelligent Perception
Provider Set:
Individual Authors
Author:
Peter Saveliev
Less
APEX Calculus
Conditions of Use:
Read the Fine Print
Rating

This text comprises a three–text series on Calculus. The first part covers ... More

This text comprises a three–text series on Calculus. The first part covers material taught in many “Calc 1” courses: limits, derivatives, and the basics of integration, found in Chapters 1 through 6.1. The second text covers material often taught in “Calc 2:” integration and its applications, along with an introduction to sequences, series and Taylor Polynomials, found in Chapters 5 through 8. The third text covers topics common in “Calc 3” or “multivariable calc:” parametric equations, polar coordinates, vector–valued functions, and functions of more than one variable, found in Chapters 9 through 13. All three are available separately for free at www.vmi.edu/APEX. Less

More
Subject:
Mathematics
Calculus
Functions
Material Type:
Textbooks
Provider:
University of Minnesota
Provider Set:
University of Minnesota - Open Academics Textbooks
Author:
regory Hartman, Brian Heinold, Troy Siemers, Dimplekumar Chalishajar
Less
Vector Calculus
Conditions of Use:
Remix and Share
Rating

This is a text on elementary multivariable calculus, designed for students who ... More

This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals. Less

More
Subject:
Calculus
Material Type:
Activities and Labs
Homework and Assignments
Textbooks
Provider:
Schoolcraft College
Provider Set:
Schoolcraft College
Author:
Michael Corral
Less
Calculus I
Conditions of Use:
Read the Fine Print
Rating

This course begins with a review of algebra specifically designed to help ... More

This course begins with a review of algebra specifically designed to help and prepare the student for the study of calculus, and continues with discussion of functions, graphs, limits, continuity, and derivatives. The appendix provides a large collection of reference facts, geometry, and trigonometry that will assist in solving calculus problems long after the course is over. Upon successful completion of this course, the student will be able to: calculate or estimate limits of functions given by formulas, graphs, or tables by using properties of limits and LĺÎĺ_ĺĚĺ_hopitalĺÎĺ_ĺĚĺ_s Rule; state whether a function given by a graph or formula is continuous or differentiable at a given point or on a given interval and justify the answer; calculate average and instantaneous rates of change in context, and state the meaning and units of the derivative for functions given graphically; calculate derivatives of polynomial, rational, common transcendental functions, and implicitly defined functions; apply the ideas and techniques of derivatives to solve maximum and minimum problems and related rate problems, and calculate slopes and rates for function given as parametric equations; find extreme values of modeling functions given by formulas or graphs; predict, construct, and interpret the shapes of graphs; solve equations using NewtonĺÎĺ_ĺĚĺ_s Method; find linear approximations to functions using differentials; festate in words the meanings of the solutions to applied problems, attaching the appropriate units to an answer; state which parts of a mathematical statement are assumptions, such as hypotheses, and which parts are conclusions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 005) Less

More
Subject:
Calculus
Functions
Material Type:
Assessments
Full Course
Readings
Syllabi
Textbooks
Provider:
The Saylor Foundation
Provider Set:
Saylor Foundation
Less
Calculus: Fundamental Theorem of Calculus
Conditions of Use:
Remix and Share
Rating

You get the general idea that taking a definite integral of a ... More

You get the general idea that taking a definite integral of a function is related to evaluating the antiderivative, but where did this connection come from. This tutorial focuses on the fundamental theorem of calculus which ties the ideas of integration and differentiation together. We'll explain what it is, give a proof and then show examples of taking derivatives of integrals where the Fundamental Theorem is directly applicable. Less

More
Subject:
Calculus
Material Type:
Video Lectures
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Less
Calculus Revisited: Multivariable Calculus, Fall 2011
Conditions of Use:
Remix and Share
Rating

Calculus Revisited is a series of videos and related resources that covers ... More

Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Multivariable Calculus is the second course in the series, consisting of 26 videos, 4 Study Guides, and a set of Supplementary Notes. The series was first released in 1971 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning calculus for the first time. Less

More
Subject:
Calculus
Material Type:
Full Course
Homework and Assignments
Readings
Syllabi
Provider:
M.I.T.
Provider Set:
MIT OpenCourseWare
Author:
Herbert Gross
Less
Calculus I, Summer 2009
Conditions of Use:
Remix and Share
Rating

This course is an introduction to differential and integral calculus. It begins ... More

This course is an introduction to differential and integral calculus. It begins with a short review of basic concepts surrounding the notion of a function. Then it introduces the important concept of the limit of a function, and use it to study continuity and the tangent problem. The solution to the tangent problem leads to the study of derivatives and their applications. Then it considers the area problem and its solution, the definite integral. The course concludes with the calculus of elementary transcendental functions. Less

More
Subject:
Calculus
Material Type:
Full Course
Homework and Assignments
Syllabi
Provider:
UMass Boston
Provider Set:
UMass Boston OpenCourseWare
Author:
Catalin Zara
Less
2002 gnirpS ,ngiseD gnireenignE liviC ot noitcudortnI
Rating

.)310.1( tcejbus ngised enotspac eht dna )150.1 ,140.1 ,130.1( stcejbus ngised aera ... More

.)310.1( tcejbus ngised enotspac eht dna )150.1 ,140.1 ,130.1( stcejbus ngised aera ytlaiceps tneuqesbus eht ni desu si hcihw decudortni si esac ngised egral A .naps efil detcepxe dna ,srotcaf laicos dna cimonoce ,tnemnorivne larutan ,tnemnorivne tliub gnitsixe eht fo noitaredisnoc sa llew sa sehcaorppa lacinhcet snrecnoc ylticilpxe ngised tcejorP .)sdaor dna segdirb ,sgnidliub ,.g.e( seitilicaf tliub no sisahpme na htiw ,sesac ngised lareves sedulcnI .gnireenigne livic ni secitcarp dna seussi ngised sa llew sa ,gnivlos-melborp evitaerc dna ngised gnireenigne fo seuqinhcet dna ,sloot ,yroeht eht ot stneduts secudortnI Less

More
Less