| 000 | nam a22 7a 4500 | ||
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| 999 |
_c4679 _d4679 |
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| 005 | 20180214060914.0 | ||
| 008 | 180214b xxu||||| |||| 00| 0 eng d | ||
| 020 |
_a9789712378140 _bpaperback |
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| 040 |
_beng _cAPEC Schools Library _erda |
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| 082 |
_aC 515 _bP363b 2016 |
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| 100 | 1 | _aPelias, John Gabriel P. | |
| 245 | 1 | 0 |
_aBasic calculus / _cJohn Gabriel P. Pelias. |
| 250 | _aFirst Edition. | ||
| 264 |
_aManila, PH : _bRex Bookstore, _c©2016. _d[2016]. |
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| 300 |
_avi, 259 pages : _billustrations ; _c26 cm |
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| 336 |
_2rdacontent _atext |
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| 337 |
_2rdamedia _aunmediated |
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| 338 |
_2rdacarrier _avolume |
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| 504 | _aIncludes bibliographical references and index. | ||
| 505 | 0 | _aPreface v -- Limits and Continuity 1 -- Introduction to the Limit 2 -- Limits of Algebraic Functions 16 -- Limits of Algebraic Functions Involving Infinity 29 -- Limits of Exponential and Trigonometric Functions 46 -- Continuity 66 -- Continuity on an Interval 80 -- Derivatives 95 -- Tangent Lines, Rates of Change and the Derivative 96 -- Some Basic Differentiation Rules 106 -- The Chain Rule 121 -- Implicit Differentiation 129 -- Derivatives of Higher Order and Differentiability 143 -- Rates of Change and Related Rates 154 -- Optimization Problems 161 -- Integration 177 -- Antiderivatives 178 -- The Substitution Rule and Tables of Integrals 188 -- Separable Differential Equations 200 -- Areas, Riemann Sums and the Define Integral 215 -- The Fundamental Theorem of Calculus 231 -- Areas of Plane Regions 244 -- References 253 -- Index 255 | |
| 520 | _a"Basic Calculus introduces the students to the study of calculus. It contains the basic concepts and mechanical skills in basic calculus, namely, understanding and calculating limits, derivatives, and integral of basic functions, and using basic techniques and formulae. The lesson in this book shall be sufficient to prepare the students in the STEM track to take calculus in college."-- | ||
| 650 | _aCalculus | ||
| 678 | _aJohn Gabriel P. Pelias finished his BS Mathematics at the University of the Philippines-Diliman in 2011 (summa cum laude). He was awarded with the Medallion of Excellence and best Undergraduate Research Paper Award in Mathematics by the dean of the College of Science. He recently obtained his MS Mathematics while teaching in the Institute of Mathematics at the same university. He is currently pursuing a PhD in Mathematics. | ||
| 942 |
_2ddc _cBK |
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