Single variable calculus : (Record no. 5221)
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000 -LEADER | |
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fixed length control field | 03278nam a22002177a 4500 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OSt |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20210715123537.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 210715b ||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 0534379230 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780534379230 |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | BUL |
Language of cataloging | eng |
Transcribing agency | BUL |
Modifying agency | BUL |
Description conventions | rda |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Edition number | 22 |
Classification number | 515.076 |
Item number | COL |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Cole, Jeffery A. |
245 ## - TITLE STATEMENT | |
Title | Single variable calculus : |
Remainder of title | Concepts and contexts / |
Statement of responsibility, etc. | Jeffery A. Cole |
250 ## - EDITION STATEMENT | |
Edition statement | 2nd edition |
260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
Place of publication, distribution, etc. | Australia : |
Name of publisher, distributor, etc. | Brooks/Cole, |
Date of publication, distribution, etc. | c2001 |
300 ## - PHYSICAL DESCRIPTION | |
Extent | x, 356 p. : |
Other physical details | ill. ; |
Dimensions | 24 cm. |
500 ## - GENERAL NOTE | |
General note | 1. FUNCTIONS AND MODELS.<br/>Four Ways to Represent a Function.<br/>New Functions from Old Functions.<br/>Graphing Calculators and Computers.<br/>Parametric Curves.<br/>Laboratory Project: Families of Hypocycloids.<br/>Exponential Functions.<br/>Inverse Functions and Logarithms.<br/>Models and Curve Fitting.<br/><br/>2. LIMITS AND DERIVATIVES.<br/>The Tangent and Velocity Problems.<br/>The Limit of a Function.<br/>Calculating Limits Using the Limit Laws.<br/>Continuity. Limits Involving Infinity.<br/>Tangents, Velocities, and Other Rates of Change.<br/>Derivatives.<br/>Writing Project: Early Methods for Finding Tangents.<br/>The Derivative as a Function.<br/>Linear Approximations.<br/>What does f'' say about f?<br/><br/>3. DIFFERENTIATION RULES.<br/>Derivatives of Polynomials and Exponential Functions.<br/>The Product and Quotient Rules.<br/>Rates of Change in the Natural and Social Sciences.<br/>Derivatives of Trigonometric Functions.<br/>The Chain Rule.<br/>Laboratory Project: Bezier Curves.<br/>Applied Project: Where Should a Pilot Start Descent?<br/>Implicit Differentiation.<br/>Derivatives of Logarithmic Functions.<br/>Discovery Project: Hyperbolic Functions.<br/>Linear Approximations and Differentials.<br/>Laboratory Project: Taylor Polynomials.<br/><br/>4. APPLICATIONS OF DIFFERENTIATION.<br/>Related Rates.<br/>Maximum and Minimum Values.<br/>Applied Project: The Calculus of Rainbows.<br/>Derivatives and the Shapes of Curves.<br/>Graphing with Calculus and Calculators.<br/>Indeterminate Forms and l''Hospital''s Rule.<br/>Writing Project: The Origins of l''Hospital''s Rule.<br/>Optimization Problems.<br/>Applied Project: The Shape of a Can.<br/>Applications to Economics.<br/>Newton''s Method.<br/>Antiderivatives.<br/><br/>5. INTEGRALS. Areas and Distances.<br/>The Definite Integral.<br/>Evaluating Definite Integrals.<br/>Discovery Project: Area Functions.<br/>The Fundamental Theorem of Calculus.<br/>Writing Project: Newton, Leibniz, and the Invention of Calculus.<br/>The Substitution Rule.<br/>Integration by Parts.<br/>Integration Using Tables and Computer Algebra Systems.<br/>Discovery Project: Patterns in Integrals.<br/>Approximate Integration.<br/>Improper Integrals.<br/><br/>6. APPLICATIONS OF INTEGRATION.<br/>More about Areas.<br/>Volumes.<br/>Arc Length.<br/>Average Value of a Function.<br/>Applied Project: Where to Sit at the Movies.<br/>Applications to Physics.<br/>Applications to Economics and Biology.<br/>Probability.<br/><br/>7. DIFFERENTIAL EQUATIONS.<br/>Modeling with Differential Equations.<br/>Direction Fields. Euler's Method.<br/>Separable Equations.<br/>Applied Project: Which is Faster, Going Up or Coming Down?<br/>Exponential Growth and Decay.<br/>Applied Project: Calculus and Baseball.<br/>The Logistic Equation. Predator-Prey Systems.<br/>Some Special Second Order Equations.<br/>etc... |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Calculus |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | Dewey Decimal Classification |
Koha item type | Book Closed Access |
Edition | 2nd edition |
Classification part | 515.076 |
Item part | 1 |
Call number prefix | COL |
Call number suffix | 515.076 COL |
Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Total Checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
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Dewey Decimal Classification | Engineering Library | Engineering Library | 07/15/2021 | Donation | 515.076 COL 1 | 0011332 | 07/15/2021 | 1 | 07/15/2021 | Book Closed Access |