Fast start differential calculus /
By: Ashlock, Daniel [author.].
Material type:
BookSeries: Synthesis lectures on mathematics and statistics: #28.; Synthesis digital library of engineering and computer science: Publisher: [San Rafael, California] : Morgan & Claypool, [2019]Description: 1 PDF (xiii, 222 pages) : illustrations.Content type: text Media type: electronic Carrier type: online resourceISBN: 9781681736426.Subject(s): Differential calculus -- Textbooks | differential calculus | review of algebra | curve sketching | optimization | limitsDDC classification: 515/.33 Online resources: Abstract with links to full text | Abstract with links to resource Also available in print.| Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
E books
|
PK Kelkar Library, IIT Kanpur | Available | EBKE937 |
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Part of: Synthesis digital library of engineering and computer science.
Includes index.
1. Review of algebra -- 1.1. Solving equations -- 1.2. Lines -- 1.3. Quadratic equations -- 1.4. Functions
2. The library of functions -- 2.1. Polynomials -- 2.2. Powers, logs, and exponentials -- 2.3. Trigonometric functions
3. Limits, derivatives, rules, and the meaning of the derivative -- 3.1. Limits -- 3.2. Derivatives -- 3.3. Derivatives of the library of functions -- 3.4. The product, quotient, reciprocal, and chain rules -- 3.5. Physical interpretation of derivatives
4. Curve sketching -- 4.1. Limits at infinity -- 4.2. Information from the derivative -- 4.3. The full report for curve sketching
5. Optimization -- 5.1. Optimization with derivatives
6. Limits and continuity : the details -- 6.1. Limits and continuity -- 6.2. The squeeze theorem and the mean value theorem
A. Useful formulas -- A.1. Powers, logs, and exponentials -- A.2. Trigonometric identities -- A.3. Speed of function growth -- A.4. Derivative rules.
Abstract freely available; full-text restricted to subscribers or individual document purchasers.
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This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions. It introduces the derivative using the limit-based definition and covers the standard function library and the product, quotient, and chain rules. It explores the applications of the derivative to curve sketching and optimization and concludes with the formal definition of the limit, the squeeze theorem, and the mean value theorem.
Also available in print.
Title from PDF title page (viewed on September 27, 2019).
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