Essential calculus : (Record no. 163425)
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| 000 -LEADER | |
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| fixed length control field | 04004nam a2200265 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | ZW-GwMSU |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20231101102849.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 231101b |||||||| |||| 00| 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | rda |
| Language of cataloging | English |
| Transcribing agency | MSULIB |
| Description conventions | rda |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA353.T7 STE |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Stewart, James |
| Relator term | author |
| 245 10 - TITLE STATEMENT | |
| Title | Essential calculus : |
| Remainder of title | early transcendentals / |
| Statement of responsibility, etc | created by James Stewart |
| 250 ## - EDITION STATEMENT | |
| Edition statement | International student ed |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Name of producer, publisher, distributor, manufacturer | Thomson Higher Education, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2007 |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2007 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xii, 799, 93 pages : |
| Other physical details | illustrations ; |
| Dimensions | 26 cm |
| 336 ## - CONTENT TYPE | |
| Source | rdacontent |
| content type term | text |
| 337 ## - MEDIA TYPE | |
| source | rdamedia |
| media type term | unmediated |
| media type code | n |
| 338 ## - CARRIER TYPE | |
| source | rdacarrier |
| carrier type term | volume |
| carrier type code | nc |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes Index |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. FUNCTIONS AND LIMITS. Functions and Their Representations. A Catalog of Essential Functions. The Limit of a Function. Calculating Limits. Continuity. Limits Involving Infinity. Review. 2. DERIVATIVES. Derivatives and Rates of Change. The Derivative as a Function. Basic Differentiation Formulas. The Product and Quotient Rules. The Chain Rule. Implicit Differentiation. Related Rates. Linear Approximations and Differentials. Review. 3. INVERSE FUNCTIONS: EXPONENTIAL, LOGARITHMIC, AND INVERSE TRIGONOMETRIC FUNCTIONS. Exponential Functions. Inverse Functions and Logarithms. Derivatives of Logarithmic and Exponential Functions. Exponential Growth and Decay. Inverse Trigonometric Functions. Hyperbolic Functions. Indeterminate Forms and l'Hospital's Rule. Review. 4. APPLICATIONS OF DIFFERENTIATION. Maximum and Minimum Values. The Mean Value Theorem. Derivatives and the Shapes of Graphs. Curve Sketching. Optimization Problems. Newton's Method. Antiderivatives. Review. 5. INTEGRALS. Areas and Distances. The Definite Integral. Evaluating Definite Integrals. The Fundamental Theorem of Calculus. The Substitution Rule. Review. 6. TECHNIQUES OF INTEGRATION. Integration by Parts. Trigonometric Integrals and Substitutions. Partial Fractions. Integration with Tables and Computer Algebra Systems. Approximate Integration. Improper Integrals. Review. 7. APPLICATIONS OF INTEGRATION. Areas between Curves. Volumes. Volumes by Cylindrical Shells. Arc Length. Applications to Physics and Engineering. Differential Equations. Review. 8. SERIES. Sequences. Series. The Integral and Comparison Tests. Other Convergence Tests. Power Series. Representing Functions as Power Series. Taylor and Maclaurin Series. Applications of Taylor Polynomials. Review. 9. PARAMETRIC EQUATIONS AND POLAR COORDINATES . Parametric Curves. Calculus with Parametric Curves. Polar Coordinates. Areas and Lengths in Polar Coordinates. Conic Sections in Polar Coordinates. Review. 10. VECTORS AND THE GEOMETRY OF SPACE. Three-Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Equations of Lines and Planes. Cylinders and Quadric Surfaces. Vector Functions and Space Curves. Arc Length and Curvature. Motion in Space: Velocity and Acceleration. Review. 11. PARTIAL DERIVATIVES. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes and Linear Approximations. The Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and Minimum Values. Lagrange Multipliers. Review. 12. MULTIPLE INTEGRALS. Double Integrals over Rectangles. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Triple Integrals. Triple Integrals in Cylindrical Coordinates. Triple Integrals in Spherical Coordinates. Change of Variables in Multiple Integrals. Review. 13. VECTOR CALCULUS. Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green's Theorem. Curl and Divergence. Parametric Surfaces and Their Areas. Surface Integrals. Stokes' Theorem. The Divergence Theorem. Review. Appendix A: Trigonometry. Appendix B: Proofs. Appendix C: Sigma Notation. Appendix D: The Logarithm Defined as an Integral. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Calculus |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Transcendental functions |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Koha item type | Book |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Main Library | Main Library | Open Shelf | 31/10/2023 | Gramsol | 52.70 | QA353.7 STE | BK148391 | 01/11/2023 | 160789 | 01/11/2023 | Book |