Showing posts with label calculus. Show all posts
Showing posts with label calculus. Show all posts

best online calculus help website

various online help of calculus available in internet, every those website have their advantage, we can choose which website that can fit with what we need.
below some list calculus website with their unique facilities

1. http://www.calculus-help.com/
this website provide various facilities with unique multimedia tutorial, problem's this week can become interactive tutorial source, available from 1998 until 2003,you can see those example at http://www.calculus-help.com/oldproblems.html
other interactive multimedia tutorial available at calculus phobe, Understanding that enormous tome is just as plausible as whittling a canoe from a giant redwood tree. Welcome to your oasis of understanding. The tutorials that follow explain calculus audio-visually, and are the equivalent of a personal tutoring session. More than just boring lectures, the topics come alive with Flash animation. see more at http://www.calculus-help.com/funstuff/phobe.html


2. http://www.tutorvista.com
i will vote that this website is the best online tutorial for calculus, with their slogan "Get calculus help, a calculus tutor is online to help you"
We use the computer, which your child associates with entertainment and fun, to make learning more interesting.

The student works one-on-one with a professional tutor in a secure web environment using your existing computer, web browser and broadband Internet connection - no special equipment or software is needed.

Using the virtual whiteboard workspace both tutor and student draw and write to share problems, solutions and explanations, and work with simulations and animations to maximize learning. but you need about $99.99/month flat rate to get online help for 24 our.

3.http://www.calculus.org/
this website special for any body that need various link to learn more about calculus, because at this website we can find a lot of link calculus tutor, interactive link for learn calculus, sample exam's, calculus applet's, link for online text, vector calculus, and calculator link for calculus like derivatives and others.

4. http://calc101.com/
this website also have special feature, on this website we can solve the calculus problem online, for example to solve derivative we can go to http://calc101.com/webMathematica/derivatives.jsp , the java-script that installed on that website will generate step by step to solve the problem that we type on that website.

5. http://www.qcalculus.com/topics.htm
this website provide topic by topic tutorial of calculus, begin with functions with e
exponents,fractions,factoring, trigonometry until antiderivatives and integrals
integrals in particle movement, substitution, integrals for area.

Multivariable Calculus

This is a textbook for a course in multivariable calculus. It has been used for the past few years here at Georgia Tech. The notes are available as Adobe Acrobat documents,

this book also available online at http://www.math.gatech.edu/~cain/notes/calculus.html, written by George Cain and James Herod


Title page and Table of Contents


Table of Contents




Chapter One - Euclidean Three Space

1.1 Introduction

1.2 Coordinates in Three-Space

1.3 Some Geometry

1.4 Some More Geometry--Level Sets


Chapter Two - Vectors--Algebra and Geometry

  2.1 Vectors

  2.2 Scalar Product

  2.3 Vector Product


Chapter Three - Vector Functions

  3.1 Relations and Functions

  3.2 Vector Functions

  3.3 Limits and Continuity


Chapter Four - Derivatives

  4.1 Derivatives

  4.2 Geometry of Space Curves--Curvature

  4.3 Geometry of Space Curves--Torsion

  4.4 Motion


Chapter Five - More Dimensions

  5.1 The space Rn

  5.2 Functions


Chapter Six - Linear Functions and Matrices

  6.1 Matrices

  6.2 Matrix Algebra


Chapter Seven - Continuity, Derivatives, and All That


  7.1 Limits and Continuity

  7.2 Derivatives

  7.3 The Chain Rule


Chapter Eight - f:Rn-› R

  8.1 Introduction

  8.2 The Directional Derivative

  8.3 Surface Normals

  8.4 Maxima and Minima

  8.5 Least Squares

  8.6 More Maxima and Minima

  8.7 Even More Maxima and Minima


Chapter Nine - The Taylor Polynomial

  9.1 Introduction

  9.2 The Taylor Polynomial

  9.3 Error

  Supplementary material for Taylor polynomial in several variables.


Chapter Ten - Sequences, Series, and All That


  10.1 Introduction

  10.2 Sequences

  10.3 Series

  10.4 More Series

  10.5 Even More Series

  10.6 A Final Remark


Chapter Eleven - Taylor Series

  11.1 Power Series

  11.2 Limit of a Power Series

  11.3 Taylor Series


Chapter Twelve - Integration

  12.1 Introduction

  12.2 Two Dimensions


Chapter Thirteen - More Integration

  13.1 Some Applications

  13.2 Polar Coordinates

  13.3 Three Dimensions


Chapter Fourteen - One Dimension Again

  14.1 Scalar Line Integrals

  14.2 Vector Line Integrals

  14.3 Path Independence


Chapter Fifteen - Surfaces Revisited

  15.1 Vector Description of Surfaces

  15.2 Integration



Chapter Sixteen - Integrating Vector Functions

  16.1 Introduction

  16.2 Flux


Chapter Seventeen - Gauss and Green

  17.1 Gauss's Theorem

  17.2 Green's Theorem

  17.3 A Pleasing Application


Chapter Eighteen - Stokes

  18.1 Stokes's Theorem

  18.2 Path Independence Revisited


Chapter Ninteen - Some Physics

  19.1 Fluid Mechanics

  19.2 Electrostatics

Calculus from Gilbert Strang



his book is legal to download and available online at http://ocw.mit.edu/ans7870/resources/Strang/strangtext.htm

TOCW is pleased to make this textbook available online. Published in 1991 and still in print from 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. There is also an online Instructor's Manual and a student Study Guide.

Textbook Components



Table of Contents (PDF)
Answers to Odd-Numbered Problems (PDF)
Equations (PDF)



















































































ChapterS FILES
1: Introduction to Calculus, pp. 1-43



1.1 Velocity and Distance, pp. 1-7

1.2 Calculus Without Limits, pp. 8-15

1.3 The Velocity at an Instant, pp. 16-21

1.4 Circular Motion, pp. 22-28

1.5 A Review of Trigonometry, pp. 29-33

1.6 A Thousand Points of Light, pp. 34-35

1.7 Computing in Calculus, pp. 36-43

Chapter 1 - complete (PDF - 4.1 MB)



Chapter 1 - sections:



1.1 - 1.4 (PDF - 2.8 MB)

1.5 - 1.7 (PDF - 1.6 MB)


2: Derivatives, pp. 44-90



2.1 The Derivative of a Function, pp. 44-49

2.2 Powers and Polynomials, pp. 50-57

2.3 The Slope and the Tangent Line,
pp. 58-63

2.4 Derivative of the Sine and Cosine,
pp. 64-70

2.5 The Product and Quotient and Power Rules, pp. 71-77

2.6 Limits, pp. 78-84

2.7 Continuous Functions, pp. 85-90
Chapter 2 - complete (PDF - 4.3 MB)



Chapter 2 - sections:



2.1 - 2.4 (PDF - 2.6 MB)

2.5 - 2.7 (PDF - 2.0 MB)
3: Applications of the Derivative,
pp. 91-153




3.1 Linear Approximation, pp. 91-95

3.2 Maximum and Minimum Problems,
pp. 96-104

3.3 Second Derivatives: Minimum vs. Maximum, pp. 105-111

3.4 Graphs, pp. 112-120

3.5 Ellipses, Parabolas, and Hyperbolas,
pp. 121-129

3.6 Iterations x[n+1] = F(x[n]), pp. 130-136

3.7 Newton's Method and Chaos,
pp. 137-145

3.8 The Mean Value Theorem and l'Hopital's Rule, pp. 146-153
Chapter 3 - complete (PDF - 5.9 MB)



Chapter 3 - sections:



3.1 - 3.4 (PDF - 3.2 MB)

3.5 - 3.8 (PDF - 3.3 MB)
4: The Chain Rule, pp. 154-176



4.1 Derivatives by the Charin Rule,
pp. 154-159

4.2 Implicit Differentiation and Related Rates, pp. 160-163

4.3 Inverse Functions and Their Derivatives,
pp. 164-170

4.4 Inverses of Trigonometric Functions,
pp. 171-176
Chapter 4 - complete (PDF - 2.0 MB)



Chapter 4 - sections:



4.1 - 4.2 (PDF - 1.0 MB)

4.3 - 4.4 (PDF - 1.2 MB)
5: Integrals, pp. 177-227



5.1 The Idea of an Integral, pp. 177-181

5.2 Antiderivatives, pp. 182-186

5.3 Summation vs. Integration, pp. 187-194

5.4 Indefinite Integrals and Substitutions,
pp. 195-200

5.5 The Definite Integral, pp. 201-205

5.6 Properties of the Integral and the Average Value, pp. 206-212

5.7 The Fundamental Theorem and Its Consequences, pp. 213-219

5.8 Numerical Integration, pp. 220-227
Chapter 5 - complete (PDF - 4.8 MB)



Chapter 5 - sections:



5.1 - 5.4 (PDF - 2.2 MB)

5.5 - 5.8 (PDF - 2.8 MB)
6: Exponentials and Logarithms,
pp. 228-282




6.1 An Overview, pp. 228-235

6.2 The Exponential e^x, pp. 236-241

6.3 Growth and Decay in Science and Economics, pp. 242-251

6.4 Logarithms, pp. 252-258

6.5 Separable Equations Including the Logistic Equation, pp. 259-266

6.6 Powers Instead of Exponentials,
pp. 267-276

6.7 Hyperbolic Functions, pp. 277-282
Chapter 6 - complete (PDF - 4.9 MB)



Chapter 6 - sections:



6.1 - 6.4 (PDF - 3.0 MB)

6.5 - 6.7 (PDF - 2.2 MB)
7: Techniques of Integration,
pp. 283-310




7.1 Integration by Parts, pp. 283-287

7.2 Trigonometric Integrals, pp. 288-293

7.3 Trigonometric Substitutions, pp. 294-299

7.4 Partial Fractions, pp. 300-304

7.5 Improper Integrals, pp. 305-310
Chapter 7 - complete (PDF - 2.6 MB)



Chapter 7 - sections:



7.1 - 7.3 (PDF - 1.7 MB)

7.4 - 7.5 (PDF - 1.0 MB)
8: Applications of the Integral, pp. 311-347



8.1 Areas and Volumes by Slices, pp. 311-319

8.2 Length of a Plane Curve, pp. 320-324

8.3 Area of a Surface of Revolution, pp. 325-327

8.4 Probability and Calculus, pp. 328-335

8.5 Masses and Moments, pp. 336-341

8.6 Force, Work, and Energy, pp. 342-347
Chapter 8 - complete (PDF - 3.4 MB)



Chapter 8 - sections:



8.1 - 8.3 (PDF - 1.7 MB)

8.4 - 8.6 (PDF - 2.0 MB)
9: Polar Coordinates and Complex Numbers, pp. 348-367



9.1 Polar Coordinates, pp. 348-350

9.2 Polar Equations and Graphs, pp. 351-355

9.3 Slope, Length, and Area for Polar Curves, pp. 356-359

9.4 Complex Numbers, pp. 360-367
Chapter 9 - complete (PDF - 1.7 MB)



Chapter 9 - sections:



9.1 - 9.2 (PDF)

9.3 - 9.4 (PDF - 1.0 MB)
10: Infinite Series, pp. 368-391



10.1 The Geometric Series, pp. 368-373

10.2 Convergence Tests: Positive Series, pp. 374-380

10.3 Convergence Tests: All Series, pp. 325-327

10.4 The Taylor Series for e^x, sin x, and cos x, pp. 385-390

10.5 Power Series, pp. 391-397
Chapter 10 - complete (PDF - 2.9 MB)



Chapter 10 - sections:



10.1 - 10.3 (PDF - 1.9 MB)

10.4 - 10.5 (PDF - 1.2 MB)
11: Vectors and Matrices, pp. 398-445



11.1 Vectors and Dot Products, pp. 398-406

11.2 Planes and Projections, pp. 407-415

11.3 Cross Products and Determinants, pp. 416-424

11.4 Matrices and Linear Equations, pp. 425-434

11.5 Linear Algebra in Three Dimensions, pp. 435-445
Chapter 11 - complete (PDF - 4.0 MB)



Chapter 11 - sections:



11.1 - 11.3 (PDF - 2.5 MB)

11.4 - 11.5 (PDF - 1.7 MB)
12: Motion along a Curve, pp. 446-471



12.1 The Position Vector, pp. 446-452

12.2 Plane Motion: Projectiles and Cycloids, pp. 453-458

12.3 Tangent Vector and Normal Vector, pp. 459-463

12.4 Polar Coordinates and Planetary Motion, pp. 464-471
Chapter 12 - complete (PDF - 2.2 MB)



Chapter 12 - sections:



12.1 - 12.2 (PDF - 1.2 MB)

12.3 - 12.4 (PDF - 1.1 MB)
13: Partial Derivatives, pp. 472-520



13.1 Surface and Level Curves, pp. 472-474

13.2 Partial Derivatives, pp. 475-479

13.3 Tangent Planes and Linear Approximations, pp. 480-489

13.4 Directional Derivatives and Gradients, pp. 490-496

13.5 The Chain Rule, pp. 497-503

13.6 Maxima, Minima, and Saddle Points, pp. 504-513

13.7 Constraints and Lagrange Multipliers, pp. 514-520
Chapter 13 - complete (PDF - 4.9 MB)



Chapter 13 - sections:



13.1 - 13.4 (PDF - 2.7 MB)

13.5 - 13.7 (PDF - 2.5 MB)
14: Multiple Integrals, pp. 521-548



14.1 Double Integrals, pp. 521-526

14.2 Changing to Better Coordinates, pp. 527-535

14.3 Triple Integrals, pp. 536-540

14.4 Cylindrical and Spherical Coordinates, pp. 541-548
Chapter 14 - complete (PDF - 2.5 MB)



Chapter 14 - sections:



14.1 - 14.2 (PDF - 1.4 MB)

14.3 - 14.4 (PDF - 1.3 MB)
15: Vector Calculus, pp. 549-598



15.1 Vector Fields, pp. 549-554

15.2 Line Integrals, pp. 555-562

15.3 Green's Theorem, pp. 563-572

15.4 Surface Integrals, pp. 573-581

15.5 The Divergence Theorem, pp. 582-588

15.6 Stokes' Theorem and the Curl of F, pp. 589-598
Chapter 15 - complete (PDF - 4.3 MB)



Chapter 15 - sections:



15.1 - 15.3 (PDF - 2.1 MB)

15.4 - 15.6 (PDF - 2.3 MB)
16: Mathematics after Calculus, pp. 599-615



16.1 Linear Algebra, pp. 599-602

16.2 Differential Equations, pp. 603-610

16.3 Discrete Mathematics, pp. 611-615
Chapter 16 - complete (PDF - 1.8 MB)



Chapter 16 - sections:



16.1 - 16.2 (PDF - 1.5 MB)

16.3 (PDF)

Calculus Bible Book

this calculus book is an elementary calculus textbook written by Professor G. S. Gill of the Brigham Young University Mathematics Department. contains 370 pages, from basic calculus and complete with the formula and table list, beginning with function, limits and continuity, differentiation and the application, integration and application,
it's free license book, so you can download it and read it free.

Download This Book Here

 
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