Transcription of ACalculusRefresher - mathcentre.ac.uk
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ACalculusRefresher - mathcentre.ac.uk
A Calculus Refresherv1. March 2003 This work is licensed under the Creative Commons Attribution-Noncommercial-Share Alike Unported License. To view a copy of this license, visit or send a letter to Creative Commons, 171 Second Street, Suite 300, San Francisco, California, 94105, 2003 mathcentreContentsForeword2 Preliminary work2 How to use this booklet2 Reminders3 Tables of derivatives and integrals41. Derivatives of basic functions52. Linearity in differentiation73. Higher derivatives94. The product rule for differentiation105. The quotient rule for differentiation116. The chain rule for differentiation137. Differentiation of functions defined implicitly158. Differentiation of functions defined parametrically 169. Miscellaneous differentiation exercises1710. Integrals of basic functions2011. Linearity in integration2112. Evaluating definite integrals2313. Integration by parts2414. Integration by substitution2615. Integration using partial fractions2916.
Foreword The material in this refresher course has been designed to enable you to cope better with your university mathematics programme. When your programme starts you will find that the ability to differentiate and
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