MATH 23100 Calculus for the Life Sciences I



MATH 23100 Calculus for the Life Sciences ITextbook: Marvin L. Bittinger, Neal Brand, John Quintanilla, Calculus for the Life Sciences, Addison Wesley, 2006Calculator:A scientific calculator. Graphing calculators are not allowed.Prerequisites:MATH 15400 or 15900.Additional Information:Additional information can be found here on the IUPUI math department’s home page. Course Objective:The objective of MATH 23100 is to provide a solid, practical, working knowledge of calculus and its applications to various scientific and technical fields. Particular attention is focused on applications in the Life Sciences.Course Outline:Introduction to Functions and Graphs The Trigonometric Functions Basic Trigonometric Relations Limits Continuity Average Rate of Change of a Function The Derivative as the Slope of a Tangent Line The Derivative as an Instantaneous Rate of Change Growth and Decay Derivatives of Polynomials, Products and Quotients of Functions Derivatives of Trigonometric Functions Derivative of a Power of a Function The Chain Rule Higher Derivatives Maximum and Minimum Values Using Derivatives in Curve Sketching Applied Maximum and Minimum Problems, Optimization Approximation of Values Using Derivatives Implicit Differentiation Related Rate Problems Exponential Functions Logarithmic FunctionsApplications to Growth and Decay Differentiation of Exponential and Logarithmic Functions Antiderivatives Indefinite Integrals Areas and Accumulations The Fundamental Theorem of Calculus Definite Integrals and Their Properties Basic Integration Formulas Integration Methods, Substitution, Integration by Parts Integration Using Tables and Computers Areas and Volumes by Integration Improper Integrals ................
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