Calculus Volume 3
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around th...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Place of publication not identified]
OpenStax
[2016]
|
| Series: | Open textbook library.
|
| Subjects: | |
| Online Access: | Access online version |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
MARC
| LEADER | 00000nam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | OTLid0000371 | ||
| 003 | MnU | ||
| 005 | 20240122145159.0 | ||
| 006 | m o d s | ||
| 007 | cr | ||
| 008 | 180907s2016 mnu o 0 0 eng d | ||
| 020 | |a 9781938168079 | ||
| 040 | |a MnU |b eng |c MnU | ||
| 050 | 4 | |a QA1 | |
| 050 | 4 | |a QA37.3 | |
| 050 | 4 | |a QA150-272.5 | |
| 100 | 1 | |a Strang, Gilbert |e author | |
| 245 | 0 | 0 | |a Calculus |c Gilbert Strang |n Volume 3 |
| 264 | 2 | |a Minneapolis, MN |b Open Textbook Library | |
| 264 | 1 | |a [Place of publication not identified] |b OpenStax |c [2016] | |
| 264 | 4 | |c ©2016. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a Open textbook library. | |
| 505 | 0 | |a 1. Parametric Equations and Polar Coordinates -- 1.1. Introduction -- 1.2. Parametric Equations -- 1.3. Calculus of Parametric Curves -- 1.4. Polar Coordinates -- 1.5. Area and Arc Length in Polar Coordinates -- 1.6. Conic Sections -- 2. Vectors in Space -- 2.1. Introduction -- 2.2. Vectors in the Plane -- 2.3. Vectors in Three Dimensions -- 2.4. The Dot Product -- 2.5. The Cross Product -- 2.6. Equations of Lines and Planes in Space -- 2.7. Quadric Surfaces -- 2.8. Cylindrical and Spherical Coordinates -- 3. Vector-Valued Functions -- 3.1. Introduction -- 3.2. Vector-Valued Functions and Space Curves -- 3.3. Calculus of Vector-Valued Functions -- 3.4. Arc Length and Curvature -- 3.5. Motion in Space -- 4. Differentiation of Functions of Several Variables -- 4.1. Introduction -- 4.2. Functions of Several Variables -- 4.3. Limits and Continuity -- 4.4. Partial Derivatives -- 4.5. Tangent Planes and Linear Approximations -- 4.6. The Chain Rule -- 4.7. Directional Derivatives and the Gradient -- 4.8. Maxima/Minima Problems -- 4.9. Lagrange Multipliers -- 5. Multiple Integration -- 5.1. Introduction -- 5.2. Double Integrals over Rectangular Regions -- 5.3. Double Integrals over General Regions -- 5.4. Double Integrals in Polar Coordinates -- 5.5. Triple Integrals -- 5.6. Triple Integrals in Cylindrical and Spherical Coordinates -- 5.7. Calculating Centers of Mass and Moments of Inertia -- 5.8. Change of Variables in Multiple Integrals -- 6. Vector Calculus -- 6.1. Introduction -- 6.2. Vector Fields -- 6.3. Line Integrals -- 6.4. Conservative Vector Fields -- 6.5. Green's Theorem -- 6.6. Divergence and Curl -- 6.7. Surface Integrals -- 6.8. Stokes' Theorem -- 6.9. The Divergence Theorem -- 7. Second-Order Differential Equations -- 7.1. Introduction -- 7.2. Second-Order Linear Equations -- 7.3. Nonhomogeneous Linear Equations -- 7.4. Applications -- 7.5. Series Solutions of Differential Equations -- Table of IntegralsTable of DerivativesReview of Pre-Calculus | |
| 520 | 0 | |a Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations. | |
| 542 | 1 | |f Attribution-NonCommercial-ShareAlike | |
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource | |
| 650 | 0 | |a Mathematics |v Textbooks | |
| 650 | 0 | |a Calculus |v Textbooks | |
| 710 | 2 | |a Open Textbook Library |e distributor | |
| 856 | 4 | 0 | |u https://open.umn.edu/opentextbooks/textbooks/371 |z Access online version |