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Calculus for Biological Scientists I (GT

by: Melvina Keeling

Calculus for Biological Scientists I (GT MATH 155

Marketplace > Colorado State University > Mathematics (M) > MATH 155 > Calculus for Biological Scientists I GT
Melvina Keeling
GPA 3.78


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Class Notes
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This 4 page Class Notes was uploaded by Melvina Keeling on Monday September 21, 2015. The Class Notes belongs to MATH 155 at Colorado State University taught by Staff in Fall. Since its upload, it has received 18 views. For similar materials see /class/210100/math-155-colorado-state-university in Mathematics (M) at Colorado State University.


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Date Created: 09/21/15
Important Topics Covered so far in Math 155 002 0 Describing Measurements with Variables Parameters and Graphs o Describing Measurements with Functions 0 Combining Functions 0 Converting Between Units 0 Dimensions 0 Fundamental Relations 0 Functions and Units 0 Checking Dimensions and Units 0 Proportional Relations 0 Equation of a Line 0 Finding Equations and Graphing Lines 0 Solving Equations Involving Lines 0 DiscreteTime Dynamical Systems and Updating Functions 0 Manipulating Update Functions 0 Units and Dimensions 0 Finding Solutions 0 Cobwebbing 0 Finding Equilibria Algebraically 0 Laws of Exponents and logs o Expressing Results with Exponentials o Doubling TimeHalf Life o Sine and Cosine o Describing oscillations with the Cosine o A Model of Selection 0 A Model of the Lungs o The Lung System in GeneralWeighted Averages Discontinuous Functions Piecewise Functions A Model of the Heart Stable and Unstable Equilibria 21 AV node blockWenkebach Phenomenon The Concept of a Derivative The Concept of a Limit Properties of Limits Continuous Functions The Sum Rule The Power Rule The Constant Product Rule The Product Rule The Quotient Rule The Second DerivativeConcavity Using Derivatives to Graph a Function Sign Lines Acceleration Derivatives of Exponential Functions Derivatives of Logarithmic Functions Composition of Functions The Chain Rule Derivatives of Sine and Cosine Derivatives of Other Trig Functions The Slope Criterion For Stability The Logistic Model Rescaling the Logistic Model Analyzing the Logistic Model The Ricker Model Local Extreme Values Global Extreme Values Second Derivative Test Optimal Medication Level Maximizing Food Intake Maximizing Fish Harvest Absorption Functions for a New Model for Lung Dynamics Limits at Infinity Leading Behavior L39Hospital39s Rule The Equation ofa Tangent Line Approximating a Function with a Line Lung DynamicsDeep BreathingPanting The Concept of Differential Equations PureTime Differential Equations Autonomous Differential Equations The lntegral Power Rule for lntegrals Constant Product Rule for lntegrals Sum Rule for lntegrals lntegrals of Special Functions Integration by Substitution Integration by Parts lntegral as Area Sum Notation Approximating lntegrals with Riemann Sums The Definite lntegral The Fundamental Theorem of Calculus The Summation Property of the Definite Integral Definite Integral with Substitution Integrals and Averages Integrals and Mass Infinite Limits of Integration Applying Leading Behavior to Improper Integrals The Comparison Test


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