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Calculus for The Life Sciences Sebastian J. Schreiber

Calculus for The Life Sciences By Sebastian J. Schreiber

Calculus for The Life Sciences by Sebastian J. Schreiber


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Summary

Authored by two distinguished researchers/teachers and an experiences, successful textbook author, Calculus for Life Sciences is a valuable resource for Life Science courses. As life-science departments increase the math requirements for their majors, there is a need for greater mathematic knowledge among students.

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Calculus for The Life Sciences Summary

Calculus for The Life Sciences by Sebastian J. Schreiber

Authored by two distinguished researchers/teachers and an experiences, successful textbook author, Calculus for Life Sciences is a valuable resource for Life Science courses. As life-science departments increase the math requirements for their majors, there is a need for greater mathematic knowledge among students. This text balances rigorous mathematical training with extensive modeling of biological problems. The biological examples from health science, ecology, microbiology, genetics, and other domains, many based on cited data, are key features of this text.

About Sebastian J. Schreiber

Sebastian J. Schreiber received his B.A. in mathematics from Boston university in 1989 and his Ph.D. in mathematics from the University of California, Berkeley in 1995. he is currently Professor of Ecology and Evolution at the University of California, Davis. Previously, he was an Associate Professor of Mathematics at the College of William and Mary, where he was the 2005 recipient of the Simon Prize for Excellence in the Teaching of Mathematics, and Western Washington University. Professor Schreiber's research on the application of stochastic processes and nonlinear dynamics to ecology, evolution, and epidemiology has been supported by grants from the National Science Foundation and the National Oceanic and Atmospheric Administration. He is the author of over 60 scientific papers in peer-reviewed mathematics and biology journals.

Table of Contents

Preview of Modeling and Calculus 1 Modeling with Functions 1.1 Real Numbers and Functions 1.2 Data Fitting with Linear and Periodic Functions 1.3 Power Functions and Scaling Laws 1.4 Exponential Growth 1.5 Function Building 1.6 Inverse Functions and Logarithms 1.7 Sequences and Difference Equations 2 Limits and Derivatives 2.1 Rates of Change and Tangent Lines 2.2 Limits 2.3 Limit Laws and Continuity 2.4 Asymptotes and Infinity 2.5 Sequential Limits 2.6 Derivative at a Point 2.7 Derivatives as Functions Group Projects 3 Derivative Rules and Tools 3.1 Derivatives of Polynomials and Exponentials 3.2 Product and Quotient Rules 3.3 Chain Rule and Implicit Differentiation 3.4 Derivatives of Trigonometric Functions 3.5 Linear Approximation 3.6 Higher Derivatives and Approximations 3.7 l'Ho pital's Rule Group Projects 4 Applications of Differentiation 4.1 Graphing Using Calculus 4.2 Getting Extreme 4.3 Optimization in Biology 4.4 Decisions and Optimization 4.5 Linearization and Difference Equations Group Projects 5 Integration 5.1 Antiderivatives 5.2 Accumulated Change and Area under a Curve 5.3 The Definite Integral 5.4 The Fundamental Theorem of Calculus 5.5 Substitution 5.6 Integration by Parts and Partial Fractions 5.7 Numerical Integration 5.8 Applications of Integration Group Projects 6 Differential Equations 6.1 A Modeling Introduction to Differential Equations 6.2 Solutions and Separable Equations 6.3 Linear Models in Biology 6.4 Slope Fields and Euler's Method 6.5 Phase Lines and Classifying Equilibria 6.6 Bifurcations Group Projects 7 Probabilistic Applications of Integration 7.1 Histograms, PDFs, and CDFs 7.2 Improper Integrals 7.3 Mean and Variance 7.4 Bell-Shaped Distributions 7.5 Life Tables Group Projects 8 Multivariable Extensions 8.1 Multivariate Modeling 8.2 Matrices and Vectors 8.3 Eigenvalues and Eigenvectors 8.4 Systems of Linear Differential Equations 8.5 Nonlinear Systems Group Projects

Additional information

CIN1118169824G
9781118169827
1118169824
Calculus for The Life Sciences by Sebastian J. Schreiber
Used - Good
Paperback
John Wiley & Sons Inc
20140415
744
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

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