000			03305nam a2200373 4500
001			OTLid0000092
003			MnU
005			20201105133256.0
006			m o d s
008			180907s2011 mnu o 0 0 eng d
020			_a9781467976664
040			_aMnU _beng _cMnU
050		4	_aQA1
050		4	_aQA37.3
100	1		_aCornette, James L. _eauthor
245	0	0	_aCalculus for the Life Sciences _bA Modeling Approach _cJames Cornette _nVolume 1
264		2	_bOpen Textbook Library
264		1	_bJames Cornette, Ralph Ackerman
300			_a1 online resource
490	0		_aOpen textbook library.
505	0		_a1 Mathematical Models of Biological Processes -- 2 Functions -- 3 The Derivative -- 4 Continuity and the Power Chain Rule -- 5 Derivatives of the Exponential and Logarithm Functions -- 6 Derivatives of Products, Quotients, and Compositions -- 7 Derivatives of Trigonometric Functions -- 8 Applications of Derivatives -- 9 The Mean Value Theorem and Taylor's Polynomials -- 10 Partial Derivatives and the Diffusion Equation -- 11 The Integral -- 12 The Fundamental Theorem of Calculus -- 13 Applications of the Fundamental Theorem of Calculus
520	0		_aOur writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course. In our text, mathematical modeling and difference and differential equations lead, closely follow, and extend the elements of calculus. Chapter one introduces mathematical modeling in which students write descriptions of some observed processes and from these descriptions derive first order linear difference equations whose solutions can be compared with the observed data. In chapters in which the derivatives of algebraic, exponential, or trigonometric functions are defined, biologically motivated differential equations and their solutions are included. The chapter on partial derivatives includes a section on the diffusion partial differential equation. There are two chapters on non-linear difference equations and on systems of two difference equations and two chapters on differential equations and on systems of differential equation.
542	1		_fAttribution-NonCommercial-NoDerivs
546			_aIn English.
588	0		_aDescription based on print resource
650		0	_aMathematics _vTextbooks
700	1		_aAckerman, Ralph A. _eauthor
710	2		_aOpen Textbook Library _edistributor
856	4	0	_uhttps://open.umn.edu/opentextbooks/textbooks/92 _zAccess online version
999			_c19525 _d19525