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MATH 136:
Calculus for the Life Sciences II
Gerda de Vries
Contents
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Contents
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Front Matter
Preface
1
Warming Up
Integration By Parts
2
Partial Fractions
Integration Using Tables and Computer Algebra Systems
3
Numerical Integration
L'Hospital's Rule
4
Improper Integrals
Definite Integrals for Area Between Curves and for Average Value of a Function
5
Constructing Definite Integrals by Slicing
6
Volumes of Solids of Revolution
Definite Integrals for Future Value
7
Separable Differential Equations
Qualitative Analysis of Differential Equations
8
Modelling with the "Rate In" - "Rate Out" Modelling Paradigm
9
Systems of Differential Equations
Phase Plane Analysis
10
Introduction to Probability
Measures of Central Tendency and Spread
11
Exponential and Normal Random Variables
Functions of Several Variables
Partial Derivatives
12
The Chain Rule and Implicit Differentiation
13
Maximum and Minimum Values
Authored in PreTeXt
MATH 136:
Calculus for the Life Sciences II
Gerda de Vries
University of Alberta
March 12, 2025
Preface