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MA 510 Mathematical Modeling
26 videos • 3,030 views • by Dr. Bevin Maultsby
Designed for students in mathematical education.
1
Lecture 1.1: Introduction to mathematical modeling
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2
Intro to Math Modeling: More about exponential growth
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3
The Rule of 72 for doubling time for compounded interest
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4
Intro to Math Modeling: The Logistic Model
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5
Lecture 1.5 Pulling it all together with the Mantid problem
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6
Least Squares Method Part 1: background and derivation, with examples
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7
Least Squares Method Part 2: residuals, setting up your model, examples
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8
Mathematical modeling using proportionality
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9
The Power of Log-Log Plots
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10
Mathematical modeling with dimensional analysis
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11
Difference Equations in Mathematics
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12
The (Discrete) Logistic Map for population modeling
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13
Supply and Demand Mathematics: Cobweb Diagrams and Difference Equations
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14
Modeling closed populations with a differential equation
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15
Equilibrium Solutions and Phase Lines in Differential Equations
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16
Stability: Sinks, Sources, and Nodes in Differential Equations
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17
Bifurcations and bifurcation diagrams
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18
Lecture 3.5 Basic Energy Balance Model (EBM) for Earth
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19
Buffon's needle problem to estimate pi, explained
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20
Modeling Predator-Prey Dynamics with Lotka-Volterra Equations, Part 1
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21
Modeling Predator-Prey Dynamics with Lotka-Volterra Equations, Part 2
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22
Euler's Method for a system of differential equations
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23
SIR Model for Epidemiology, Ordinary Differential Equations
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24
Transition matrices: computing probability and making long-term predictions
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25
Markov Chains and Transition Matrices
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26
Lecture 4.5 Google PageRank
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