Calculus of a single variable : (Record no. 36791)
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| 000 -LEADER | |
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| fixed length control field | 04931nam a22002777a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20210709090317.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | ta |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 200521b2019 at ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781337782449 (pbk) |
| 040 ## - CATALOGING SOURCE | |
| Language of cataloging | eng |
| Transcribing agency | HNU |
| Description conventions | rda |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Edition number | 23 |
| Placement Code | GC |
| Classification number | 515 L32 2019 |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Larson, Ron. |
| 245 ## - TITLE STATEMENT | |
| Title | Calculus of a single variable : |
| Remainder of title | early transcendental functions / |
| Statement of responsibility, etc. | Ron Larson; Bruce H Edwards |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 7th edition metric version |
| 264 ## - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Australia : |
| Name of producer, publisher, distributor, manufacturer | Cengage Learning, Inc., |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiii, 750 pages, (various pagings) : |
| Other physical details | illustrations (colour) ; |
| Dimensions | 28 cm |
| 500 ## - GENERAL NOTE | |
| General note | Text on inside covers.<br/>Includes index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. PREPARATION FOR CALCULUS. Graphs and Models. Linear Models and Rates of Change. Functions and Their Graphs. Fitting Models to Data. Inverse Functions. Exponential and Logarithmic Functions. Review Exercises. P.S. Problem Solving.2. LIMITS AND THEIR PROPERTIES. A Preview of Calculus. Finding Limits Graphically and Numerically. Evaluating Limits Analytically. Continuity and One-Sided Limits. Infinite Limits. Section Project: Graphs and Limits of Trigonometric Functions. Review Exercises. P.S. Problem Solving.3. DIFFERENTIATION. The Derivative and the Tangent Line Problem. Basic Differentiation Rules and Rates of Change. Product and Quotient Rules and Higher-Order Derivatives. The Chain Rule. Implicit Differentiation. Section Project: Optical Illusions. Derivatives of Inverse Functions, Related Rates. Newton's Method. Review Exercises. P.S. Problem Solving.4. APPLICATIONS OF DIFFERENTIATION. Extrema on an Interval. Rolle's Theorem and the Mean Value Theorem. Increasing and Decreasing Functions and the First Derivative Test. Section Project: Rainbows. Concavity and the Second Derivative Test. Limits at Infinity. A Summary of Curve Sketching. Optimization Problems. Section Project: Connecticut River. Differentials. Review Exercises. P.S. Problem Solving.5. INTEGRATION. Antiderivatives and Indefinite Integration. Area. Riemann Sums and Definite Integrals. The Fundamental Theorem of Calculus. Section Project: Demonstrating the Fundamental Theorem. Integration by Substitution. Numerical Integration. The Natural Logarithmic Function: Integration. Inverse Trigonometric Functions: Integration. Hyperbolic Functions. Section Project: St. Louis Arch. Review Exercises. P.S. Problem Solving.6. DIFFERENTIAL EQUATIONS. Slope Fields and Euler's Method. Differential Equations: Growth and Decay. Differential Equations: Separation of Variables. The Logistic Equation. First-Order Linear Differential Equations. Section Project: Weight Loss. Predator-Prey Differential Equations. Review Exercises. P.S. Problem Solving.7. APPLICATIONS OF INTEGRATION. Area of a Region Between Two Curves. Volume: The Disk Method. Volume: The Shell Method. Section Project: Saturn. Arc Length and Surfaces of Revolution. Work. Section Project: Tidal Energy. Moments, Centers of Mass, and Centroids. Fluid Pressure and Fluid Force. Review Exercises. P.S. Problem Solving.8. INTEGRATION TECHNIQUES, L'HOPITAL'S RULE, AND IMPROPER INTEGRALS. Basic Integration Rules. Integration by Parts. Trigonometric Integrals. Section Project: Power Lines. Trigonometric Substitution. Partial Fractions. Integration by Tables and Other Integration Techniques. Indeterminate Forms and L'Hopital's Rule. Improper Integrals. Review Exercises. P.S. Problem Solving.9. INFINITE SERIES. Sequences. Series and Convergence. Section Project: Cantor's Disappearing Table. The Integral Test and p-Series. Section Project: The Harmonic Series. Comparisons of Series. Section Project: Solera Method. Alternating Series. The Ratio and Root Tests. Taylor Polynomials and Approximations. Power Series. Representation of Functions by Power Series. Taylor and Maclaurin Series. Review Exercises. P.S. Problem Solving.10. CONICS, PARAMETRIC EQUATIONS, AND POLAR COORDINATES. Conics and Calculus. Plane Curves and Parametric Equations. Section Project: Cycloids. Parametric Equations and Calculus. Polar Coordinates and Polar Graphs. Section Project: Anamorphic Art. Area and Arc Length in Polar Coordinates. Polar Equations of Conics and Kepler's Laws. Review Exercises. P.S. Problem Solving.Appendix A: Proofs of Selected Theorems (Online).Appendix B: Integration Tables.Appendix C: Pre-calculus Review (Online).Appendix C1: Real Numbers and the Real Number Line. Appendix C2: The Cartesian Plane. Appendix C3: Review of Trigonometric Functions.Appendix D: Rotation and the General Second-Degree Equation (Online).Appendix E: Complex Numbers (Online). |
| 521 ## - TARGET AUDIENCE NOTE | |
| Target audience note | College of Engineering and Computer Studies |
| Source | Bachelor of Science in Civil Engineering |
| 546 ## - LANGUAGE NOTE | |
| Language note | Text in English |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Calculus. |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Edwards, Bruce H. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Books |
| Classification part | 500-599 |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Total Checkouts | Total Renewals | Full call number | Barcode | Date last seen | Date last checked out | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | GC | College Library | College Library | General Circulation Section | 11/08/2019 | Library Fund | 7 | 4 | GC 515 L32 2019 | HNU001242 | 08/29/2024 | 09/02/2023 | 05/21/2020 | Books |
